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Root still needs to qualify +this portable wrapper, committed bytes and read-only export before publication. +After that, any broader5580receipt transfer or caller admission needs its own +source/occurrence/ownership and hypothesis map. Do not rerun the full5572or5585 +native suites by default, multiply old coverage counts, or treat this one-map +receipt as a fundedκ. Refresh exact head/overlap before a new assignment. diff --git a/research/pr5580-native-pair-audit/PAYLOAD-INVENTORY.json b/research/pr5580-native-pair-audit/PAYLOAD-INVENTORY.json new file mode 100644 index 0000000000..cd0e6aee76 --- /dev/null +++ b/research/pr5580-native-pair-audit/PAYLOAD-INVENTORY.json @@ -0,0 +1,225 @@ +{ + "files": { + "LICENSE": { + "bytes": 11357, + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + }, + "NEXT.md": { + "bytes": 491, + "sha256": "7f31da20527869599405d6bb701ca2290069ac2f22e3f5793e00bb1c8cf69ccd" + }, + "PROOF-AND-SCOPE.md": { + "bytes": 6986, + "sha256": "8b9cc0f1029e914a94636cf32b8a6d2854e551a591942588b0bb0d07c5ac82c0" + }, + "PROVENANCE.json": { + "bytes": 993, + "sha256": "a78a5a05d7ed9bc2f788a77963caae3499212a94373a4427598c0d1a213cf71b" + }, + "README.md": { + "bytes": 6358, + "sha256": "8f2422787ae31586a4a71f604f13a34ad39b84ab7d31d0b2f43b6aa147990562" + }, + "SOURCES.json": { + "bytes": 1426, + "sha256": 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/dev/null +++ b/research/pr5580-native-pair-audit/PROOF-AND-SCOPE.md @@ -0,0 +1,59 @@ +# One PR5580 native map: frozen-domain nomination + +This nomination concerns PR5580 head `6efa248cf456d6101d757e9d09ba29711d18a13a` only. Root is the sole scientific executor. The preparer has not imported or executed the checker, compiler, native definitions, dense interpreter or source constructor. A request becomes ready for root review only after the current source/overlap gate is attached and every file hash is frozen. + +## Exact object + +The actual paid event is index12658: + +```text +MOVE register451: frame3 → frame737, private=False +frame3 = [] +frame737 = [11,21,33,455] +``` + +These are exact ordered frame bytes, not a subspace-isomorphism reduction. The frozen word has exactly one occurrence of this ordered pair. Its native rank is4. The candidate WORD Gitblob is `9434855e7dad0d0236d23210b3e71a2b83a9ae64`, SHA256 `b2a98c4bd0dbe86c09e9d15ee060dcf1aab09dbef90aa1e2127676f4039f406b`. + +The literal source operator is the chronological circuit `adjoint(frame([])) + frame([11,21,33,455])`, representing `T737 T3^-1`. The actual paid recipe is generated by the retained source expression: + +```text +lower_child(canonical_frame(9,()).adjoint().then( + canonical_frame(9,(11,21,33,455)))) +``` + +The compiler and literal definitions are byte-identical to the files inside PR5580's retained PR5545 capsule and to the prior qualified inputs: + +- Compiler Gitblob `166841a037f069249f6f7f6dedb89248812f59e2`. +- Literal definitions Gitblob `2c209dfa9cfade3bc20ac5fc9d876b433a147f8c`. +- Unchanged PR5548 dense interpreter Gitblob `e7e663bebaf13f44c95fb8eb118b472cf377e137`, SHA256 `43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d`. + +The checker authenticates these inputs before import, derives the recipe from the actual candidate frames and records the complete recipe, including both monomial boundaries, offsets and phases. Source/compiler assertions are not the acceptance evidence: the external predicates below remain active under Python optimization. + +## Existing-evidence applicability first + +Static preparation compared the exact ordered pair of bases to MOVE/helper transitions in PR5572's full receipt (using its5551word) and our182-map receipt (using its5545word). Both lookups were empty. The new PR5585 receipt was then checked across its5569MOVE/helper occurrence tasks; it also contains no exact boundary `[]→[11,21,33,455]`. PR5585's complete descriptor includes that boundary, the lowered recipe and actual/expected circuits, so an identical descriptor cannot be present without a matching boundary occurrence. Main adapters in these receipts have rank0 and cannot provide this rank4certificate. + +This search does not prove that no differently represented operator has the same matrix. It establishes that strict source/recipe/ordered-frame receipt substitution is unavailable in the three named sets. No new algebraic equivalence, matrix-digest guess, automatic successor transfer or old224coverage count is used. The root checker repeats these exact data lookups and stops if a receipt match is found. + +PR5585 head `a21a5af71581d678476b882b4b8f27339a2e067d` publishes broad5569native coverage but explicitly leaves5580transfer open. Its BINDINGS raw-byte hash differs from the canonical-JSON hash in RESULT; both meanings are preserved and the checker uses the declared canonical hash only for the parsed binding assertion. Matarener's PR5569 comment6402641227 reports helper endpoint3→559rank8; that differs from this paid3→737rank4map and provides no portable matching operator receipt. + +## One prospective qualification + +1. Authenticate all source fixtures, exact author raw RESULT serialization, prior qualification receipts and current curator source gate. +2. Bind the actual public paid event and exact ordered frames, with no complete word reconstruction or full scalar replay. +3. Repeat the bounded existing-receipt lookup; stop if exact reuse is now available. +4. Generate the actual retained source recipe. Compare it to the defining literal circuit on all512basis inputs using the unchanged qualified PR5548 dense Gaussian-dyadic interpreter. Require exact equality including absolute phase, squared norm1 and support16 on every column. +5. Independently compute the literal signed-Pauli B-block rank and require4, matching the geometric dimension gap and charged child rank. Compare all18signed Pauli images. Require the recipe's four child Gaussians to have positive canonical signs, with the actual monomial boundaries retained. +6. Run the frozen controls and one serial normal/-O pair. Compare every scientific output byte, excluding no scientific field. Stop at pass, first failure or resource cap; retain all attempted outputs. + +The eight controls use actual circuit/data/source mutations: global phase invisible to signed tableaux, one child sign flip, an extra incorrect boundary translation, reversed native orientation, a wrong charged rank, removal of the nominated paid occurrence, compiler-byte corruption and literal-definition-byte corruption. The source-corruption controls test custody only. Physical phase/sign/boundary/orientation faults pass through the actual dense comparison predicates; no new phase-only engine is introduced. + +## Resource and outcome boundary + +One existing guarded root pair:150seconds aggregate,512MiB sampled descendant RSS,60seconds maximum per child, normal and optimized children strictly serial. No workers, background processes, expanded map set or implicit cap increase. The request binds the existing guard and shared lock; root reviews exact current source/ownership before executing. + +A passing result establishes a finite all-input nine-axis matrix identity for one paid map, with exact source recipe and one literal occurrence. Linear extension gives arbitrary input at this finite width. Positive-width tensor substitution is a conditional implication under the retained native implementation and ordinary monomial conventions; it is not a newly proved uniform machine implementation. Scalar coefficients of the surrounding module remain outside tensor products. + +Parent arbitrary-input autonomy, owned erasure, ordinary routing costs, precision/tape/storage, stock, compiler reserve and the complete applicable outer transfer remain separate premises. No all743endpoint replay, full physical caller, complete native universe, full5580funding admission, selected update or newκ is claimed. This is a forward paid MOVE; the reversed-orientation fault control is not a whole-caller raw inverse transpose and does not invent a new dual requirement. + +Credit Ali Romman's5580construction and retained local/native source; GamingPuzzled5569, DreamingOfClouds5561, thu-nmrc5551; Matarener5572and the5569report; Scratch-net5585receipt transfer; Chris R/Clear1nsight5548dense interpreter,5550caller and5573subset; all retained native, Clifford, controller, compiler and analytic predecessors. New bounded review driver: Chris R/Clear1nsight with OpenAI Codex assistance, Apache-2.0. diff --git a/research/pr5580-native-pair-audit/PROVENANCE.json b/research/pr5580-native-pair-audit/PROVENANCE.json new file mode 100644 index 0000000000..3b12a7a398 --- /dev/null +++ b/research/pr5580-native-pair-audit/PROVENANCE.json @@ -0,0 +1,15 @@ +{ + "actual_base": "32890bc5de034ab8fc93ac88ead7279a6a416d04", + "base_policy": "Use available exact older canonical object store without fetch. Preserve unrelated base references even if blobs are absent. Root alone commits/publishes.", + "matrix_sha256": "4880642a0492ed39e066828674c80eaf3f62cccbd68a3b45b17bccbe03f1245e", + "new_kappa": null, + "observed_canonical_main": "5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "original_guard_elapsed_seconds": 2.4162618780101184, + "original_guard_sampled_rss_bytes": 53616640, + "original_request_sha256": "ad28fe76aaa7a56d717a205a2b519f75dfaa366e57141a2b3f5a17fa10d18e83", + "portable_replay_performed_by_preparer": false, + "result_sha256": "896021cbb14577bc242d8c884210b56e9ded0133acf02ab22295c3324e657ad9", + "schema": "pr5580-native-publication-provenance/v1", + "source_gate": "capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json", + "source_gate_observed_utc": "2026-10-25T20:48:16Z" +} diff --git a/research/pr5580-native-pair-audit/README.md b/research/pr5580-native-pair-audit/README.md new file mode 100644 index 0000000000..e868234173 --- /dev/null +++ b/research/pr5580-native-pair-audit/README.md @@ -0,0 +1,116 @@ +# Independent native-pair audit for PR5580 + +The one newly used paid map in Ali Romman's PR5580, frame 3→737 at event12658 +on public register451, has a source-bound independent exact matrix check. +The actual lowered rank-four recipe equals the defining nine-axis operator +on all 512 basis inputs, including absolute phase:262,144 complex entries. +Every column has squared norm1 and support16; all 18 signed Pauli images agree. +Independent B-block rank, geometric rank and charged native rank all equal4. + +Exact source: `6efa248cf456d6101d757e9d09ba29711d18a13a`. +Ordered frame bases: `[] → [11,21,33,455]`. +The original guarded normal/optimized pair passed in 2.416261878 seconds with +53,616,640 bytes sampled peak descendant RSS under150 seconds/512 MiB. +Both scientific outputs were byte-identical, excluding zero fields, and all +eight controls rejected. This is agent-produced finite verification evidence, +not independent human or proof-kernel acceptance. + +This closes one changed paid-map obligation. It does not admit the complete +PR5580 native foundation, local743-row ABI, caller, ordinary/tape/precision +contract, compiler/outer conjunction or fundedκ. The selected record remains +.003027288235. No newκ is claimed. + +## Evidence and reproduction + +`capsule/` preserves the exact original checker, sourcecompiler/literal +definitions, unchanged qualified PR5548 dense interpreter, inputs, gate and +accepted request at the original relative depths. `original-evidence/` retains +both complete result byte streams, both stderr files and original pair/guard +receipts. The portable wrapper authenticates the whole package and original +request before executing the unchanged checker in one private child. + +```sh +python3 -B scripts/research_package.py --package research/pr5580-native-pair-audit +``` + +The registered launcher runs normal and optimized modes serially. Each wrapper +uses at most60 seconds and512MiB address space for its private child. The root +publication qualification uses the existing150 seconds/512 MiB serial guard. +The direct command also works without Git, an external source tree, writable +package files or executables on PATH: + +```sh +/usr/bin/python3 -I -O -B research/pr5580-native-pair-audit/verify.py +``` + +Expected marker: `PASS_PR5580_NATIVE_PAIR_AUDIT`. +Portable replay results are separate from the already completed original run; +the preparer has not executed the portable verifier. + +## Receipt reuse and overlap + +Before nominating a new matrix check, the exact ordered transition was sought +in PR5572's full receipt using its actual5551frames, our182-map PR5545 receipt, +and Scratch-net's PR5585 binding inventory using its actual5569frames. +None supplies an identical ordered-boundary descriptor. The matching rule +also covers MOVE/helper cross-kind reuse; rank-zero main adapters cannot +certify a rank-four map. A different frame representation might define an +equal operator, but no new algebraic equivalence or digest guess is used. +The absence statement concerns these three named receipt sets only. + +PR5572 and5585supply valuable broad predecessor evidence and use the credited +PR5548 arithmetic. Their complete receipt/occurrence bindings remain in the +capsule with their source pins. PR5585 explicitly leaves5580transfer open. +Matarener's5569report for helper3→559rank 8does not cover this paid3→737rank 4map. +Our earlier PR5573 old5545subset remains source-bound; its224 coverage count is +not transferred automatically. No whole-parent replay is performed here. + +## Controls and applicability + +Physical controls reject a global phase invisible to signed tableaux, one +child-sign flip, a wrong boundary translation and reversed native orientation. +Separate controls reject a wrong charged rank, omission of the actual paid +occurrence, compiler-byte corruption and literal-definition-byte corruption. +The last two establish custody; they are not physical native faults. +Portable custody helpers add source/request/output corruption tests before +the scientific child. Every original control is repeated unchanged by replay. + +All512 columns prove the finite all-input linear operator identity. Factorwise +tensor substitution is conditional on retained native phase/implementation +and monomial-cost conventions at positive widths. Parent autonomy, owned +erasure, storage/precision/tape, ordinary costs and compiler/outer assumptions +remain outside this check. A reversed-orientation control is not a complete +caller raw inverse transpose. The actual source uses forward paid calls. + +The bounded curator gate observed the exact5580head at20:48:16UTC, +5574 DONE/released and no explicit competing pair audit in its captured scope. +It is preserved unchanged and is not an exhaustive novelty assertion. + +## Sources and credit + +Construction: Ali Romman PR5580, building on GamingPuzzled5569, +DreamingOfClouds5561andthu-nmrc5551. Native/compiler/literal definitions and +their retained notices are unchanged. Credit Matarener5572and5569review, +Scratch-net5585, Chris R/Clear1nsight5548dense arithmetic,5550 caller and5573 +native subset, and all retained Clifford, geometry, controller, productive +recursion, compiler and analytic contributors. New bounded audit and portable +driver: Chris R/Clear1nsight with substantial OpenAI Codex assistance. +Apache-2.0. This package creates no construction or paid-profile improvement. + +Publication base is the available exact canonical32890bc5commit; the later +5e0052cacanonical/source checkpoint is recorded separately. No absent base +bytes are invented. All scientific inputs are internal authenticated files. + +## Open next questions + +- Which exact PR5580 native descriptors and occurrences can reuse PR5585's + complete5569receipt? First join actual frames, recipes, phases, ownership + and occurrences at one frozen head. This package covers only the nominated + paid map; a complete successor transfer remains separate. +- Does the full exact5580caller satisfy every retained precision, tape, + compiler and outer hypothesis? First map applicable proof obligations to + source-bound certificates, preserving inherited assumptions. This matrix + check does not establish those hypotheses. +- Can independent human or formal review accept the finite implication? + Inspect the actual recipe, literal circuit, full-column method and controls. + No such acceptance is included here. diff --git a/research/pr5580-native-pair-audit/SOURCES.json b/research/pr5580-native-pair-audit/SOURCES.json new file mode 100644 index 0000000000..916c9cfbdd --- /dev/null +++ b/research/pr5580-native-pair-audit/SOURCES.json @@ -0,0 +1,30 @@ +{ + "base_commit": "32890bc5de034ab8fc93ac88ead7279a6a416d04", + "complete_original_result_sha256": "896021cbb14577bc242d8c884210b56e9ded0133acf02ab22295c3324e657ad9", + "exact_internal_source_manifest": "capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/INPUTS.json", + "files": [ + { + "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446", + "path": "certificates/selected-result.json", + "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903", + "usage": "provenance" + }, + { + "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "path": "docs/research/agent-task-catalog.json", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72", + "usage": "provenance" + } + ], + "native_conventions": { + "compiler": "166841a037f069249f6f7f6dedb89248812f59e2", + "dense": "e7e663bebaf13f44c95fb8eb118b472cf377e137", + "literal": "2c209dfa9cfade3bc20ac5fc9d876b433a147f8c" + }, + "original_request_sha256": "ad28fe76aaa7a56d717a205a2b519f75dfaa366e57141a2b3f5a17fa10d18e83", + "runtime_source_policy": "All scientific sources are internal authenticated capsule inputs; no external live input consumed.", + "schema_version": 1, + "scope": "One finite native operator and one public paid occurrence; no kappa.", + "source_head": "6efa248cf456d6101d757e9d09ba29711d18a13a", + "source_pr": 5580 +} diff --git a/research/pr5580-native-pair-audit/TASK.json b/research/pr5580-native-pair-audit/TASK.json new file mode 100644 index 0000000000..2d1263de04 --- /dev/null +++ b/research/pr5580-native-pair-audit/TASK.json @@ -0,0 +1,124 @@ +{ + "actual_scope": "Independent finite native equality for one paid forward PR5580 map(3,737), rank4, one actual occurrence; no new kappa or full supplier admission.", + "ai_assistance": "Substantial OpenAI Codex assistance for independent finite audit, exact source/receipt applicability review and portable packaging; unchanged credited5548dense arithmetic. Not human or proof-kernel acceptance.", + "author": "Chris R (Clear1nsight), with substantial OpenAI Codex assistance", + "base_commit": "32890bc5de034ab8fc93ac88ead7279a6a416d04", + "bottleneck_link": "Binds one newly used paid native Gaussian to its source-compiled recipe and actual occurrence; unchanged histogram is not an economic gain.", + "budget_minutes": null, + "coordination": { + "base_main": "5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "claim": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5574", + "discussion_records_checked": 4836, + "local_coverage": "Sparse; relevant P104 sources read directly. No exhaustive local novelty claim.", + "new_related_pr": "https://github.com/CrocSwap/integer-mult-bounds/pull/5577", + "open_prs_checked": 320, + "presubmission_checked_utc": "2026-10-25T20:19:42.925159+00:00", + "presubmission_main": "5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "remote_checked_utc": "2026-10-25T20:04:18.735343+00:00", + "remote_pagination_complete": true + }, + "evidence": "original-evidence/RESULT-normal.json, RESULT-optimized.json, PAIR-RECEIPT.json and GUARD-RECEIPT.json; portable replay status separate.", + "open_questions": [ + { + "blocked_by": "A separate complete source-bound transfer ledger is outside this package.", + "first_step": "Join actual ordered frames, deterministic recipes, phases, owners and occurrences at a frozen head.", + "question": "Can the full5580native occurrence inventory reuse5585with this new pair supplied?", + "why_it_matters": "One changed map does not bind the rest of a successor caller." + }, + { + "blocked_by": "No full supplier admission or independent uniform theorem is included.", + "first_step": "Map each actual downstream hypothesis to an applicable certificate and state inherited framework premises.", + "question": "Do retained precision/tape/compiler/outer contracts apply to the full5580caller?", + "why_it_matters": "Finite native matrix equality alone does not fund a supplier." + } + ], + "original_card": { + "acceptance_gate": "An unchanged histogram is not a kappa gain; record any separate runtime or proof benefit explicitly.", + "allowed_variations": [ + "One existing scalar simplification and one proposed frame-path change." + ], + "bottleneck_link": "A legal change to the histogram, not addition count alone, is the bridge to an exponent gain.", + "existing_checks": [ + { + "evidence": "research/staged544-a2-graph-rewrite/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #3998: consecutive A2 scalar contraction", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "389268a6b5e0373a3125d5c6fcd6995f4ea324f5", + "status": "author-checked" + }, + { + "evidence": "research/staged544-separated-a2/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4019: separated A2 sites with unchanged recursive histogram", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "f408e09df300b575235f7f77f81948071397e16d", + "status": "author-checked" + }, + { + "evidence": "research/staged544-a2-composition-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4112: composition audit", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "205b7380656ba4b6316a8a493b1a3c679b8f7a0e", + "status": "author-checked" + }, + { + "evidence": "research/staged544-a1858-contraction-audit/README.md", + "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.", + "scope": "PR #4152: A1858 contraction audit", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "source_commit": "caaa14cde5962adc372fdca71f63d0f29e73c8b2", + "status": "author-checked" + } + ], + "first_experiment": "Identify an actual paid transition to remove and construct a legal replacement frame itinerary, charging restoration, source windows and changed helpers. Compare complete before/after histograms. Stop if only scalar count changes; report that benefit honestly, without expanding the same scalar-only census.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the A2 and separated-A2 constructions and their composition/contraction audits. Scalar contractions can preserve the complete recursive histogram; fewer ADDs alone do not justify further scans.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "id": "scalar-to-moment", + "methods": [ + "Derive the changed legal frame itinerary and exact child histogram.", + "Prove a scoped obstruction showing why that scalar gain cannot change the paid contract." + ], + "overlap_terms": [ + "scalar simplification", + "paid profile", + "R439", + "3998", + "4019", + "4112", + "4152", + "staged544-a2-graph-rewrite", + "staged544-separated-a2", + "staged544-a2-composition-audit", + "staged544-a1858-contraction-audit" + ], + "question": "Can a changed frame itinerary remove a paid transition beyond the already covered scalar A2 contractions?", + "scope_change_triggers": [ + "Submitting only another scalar count as completion of a paid-profile task." + ], + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/staged544-a2-graph-rewrite/README.md", + "research/staged544-separated-a2/README.md", + "research/staged544-a2-composition-audit/README.md", + "research/staged544-a1858-contraction-audit/README.md" + ] + }, + "outcome": "partial", + "priority_revision": 7, + "schema_version": 1, + "scope_change_reason": "Directed independent verification of the newly used map after checking exact descriptor reuse in5572,old182and5585receipts.", + "scope_status": "changed", + "stop_rule": "One source-bound map only. No wider native/caller/funding replay, search, construction or selected update follows.", + "task_id": "scalar-to-moment" +} diff --git a/research/pr5580-native-pair-audit/VERIFY.json b/research/pr5580-native-pair-audit/VERIFY.json new file mode 100644 index 0000000000..3304be2020 --- /dev/null +++ b/research/pr5580-native-pair-audit/VERIFY.json @@ -0,0 +1,28 @@ +{ + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "checks": "Authenticate package/original request and repeat unchanged one-map checker:512columns,absolutephase,norm/support,18signedPaulis,rank4,eightcontrols; complete original bytes; no new kappa.", + "timeout_seconds": 70 + }, + { + "argv": [ + "{python}", + "-O", + "-B", + "{package}/verify.py" + ], + "checks": "Authenticate package/original request and repeat unchanged one-map checker:512columns,absolutephase,norm/support,18signedPaulis,rank4,eightcontrols; complete original bytes; no new kappa.", + "timeout_seconds": 70 + } + ], + "inputs": [], + "python": "3.12", + "requirements": [], + "schema_version": 1, + "status": "ready" +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/CONTRACT.md b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/CONTRACT.md new file mode 100644 index 0000000000..315d6ff095 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/CONTRACT.md @@ -0,0 +1,59 @@ +# One PR5580 native map: frozen-domain nomination + +This nomination concerns PR5580 head `6efa248cf456d6101d757e9d09ba29711d18a13a` only. Root is the sole scientific executor. The preparer has not imported or executed the checker, compiler, native definitions, dense interpreter or source constructor. A request becomes ready for root review only after the current source/overlap gate is attached and every file hash is frozen. + +## Exact object + +The actual paid event is index12658: + +```text +MOVE register451: frame3 → frame737, private=False +frame3 = [] +frame737 = [11,21,33,455] +``` + +These are exact ordered frame bytes, not a subspace-isomorphism reduction. The frozen word has exactly one occurrence of this ordered pair. Its native rank is4. The candidate WORD Gitblob is `9434855e7dad0d0236d23210b3e71a2b83a9ae64`, SHA256 `b2a98c4bd0dbe86c09e9d15ee060dcf1aab09dbef90aa1e2127676f4039f406b`. + +The literal source operator is the chronological circuit `adjoint(frame([])) + frame([11,21,33,455])`, representing `T737 T3^-1`. The actual paid recipe is generated by the retained source expression: + +```text +lower_child(canonical_frame(9,()).adjoint().then( + canonical_frame(9,(11,21,33,455)))) +``` + +The compiler and literal definitions are byte-identical to the files inside PR5580's retained PR5545 capsule and to the prior qualified inputs: + +- Compiler Gitblob `166841a037f069249f6f7f6dedb89248812f59e2`. +- Literal definitions Gitblob `2c209dfa9cfade3bc20ac5fc9d876b433a147f8c`. +- Unchanged PR5548 dense interpreter Gitblob `e7e663bebaf13f44c95fb8eb118b472cf377e137`, SHA256 `43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d`. + +The checker authenticates these inputs before import, derives the recipe from the actual candidate frames and records the complete recipe, including both monomial boundaries, offsets and phases. Source/compiler assertions are not the acceptance evidence: the external predicates below remain active under Python optimization. + +## Existing-evidence applicability first + +Static preparation compared the exact ordered pair of bases to MOVE/helper transitions in PR5572's full receipt (using its5551word) and our182-map receipt (using its5545word). Both lookups were empty. The new PR5585 receipt was then checked across its5569MOVE/helper occurrence tasks; it also contains no exact boundary `[]→[11,21,33,455]`. PR5585's complete descriptor includes that boundary, the lowered recipe and actual/expected circuits, so an identical descriptor cannot be present without a matching boundary occurrence. Main adapters in these receipts have rank0 and cannot provide this rank4certificate. + +This search does not prove that no differently represented operator has the same matrix. It establishes that strict source/recipe/ordered-frame receipt substitution is unavailable in the three named sets. No new algebraic equivalence, matrix-digest guess, automatic successor transfer or old224coverage count is used. The root checker repeats these exact data lookups and stops if a receipt match is found. + +PR5585 head `a21a5af71581d678476b882b4b8f27339a2e067d` publishes broad5569native coverage but explicitly leaves5580transfer open. Its BINDINGS raw-byte hash differs from the canonical-JSON hash in RESULT; both meanings are preserved and the checker uses the declared canonical hash only for the parsed binding assertion. Matarener's PR5569 comment6402641227 reports helper endpoint3→559rank8; that differs from this paid3→737rank4map and provides no portable matching operator receipt. + +## One prospective qualification + +1. Authenticate all source fixtures, exact author raw RESULT serialization, prior qualification receipts and current curator source gate. +2. Bind the actual public paid event and exact ordered frames, with no complete word reconstruction or full scalar replay. +3. Repeat the bounded existing-receipt lookup; stop if exact reuse is now available. +4. Generate the actual retained source recipe. Compare it to the defining literal circuit on all512basis inputs using the unchanged qualified PR5548 dense Gaussian-dyadic interpreter. Require exact equality including absolute phase, squared norm1 and support16 on every column. +5. Independently compute the literal signed-Pauli B-block rank and require4, matching the geometric dimension gap and charged child rank. Compare all18signed Pauli images. Require the recipe's four child Gaussians to have positive canonical signs, with the actual monomial boundaries retained. +6. Run the frozen controls and one serial normal/-O pair. Compare every scientific output byte, excluding no scientific field. Stop at pass, first failure or resource cap; retain all attempted outputs. + +The eight controls use actual circuit/data/source mutations: global phase invisible to signed tableaux, one child sign flip, an extra incorrect boundary translation, reversed native orientation, a wrong charged rank, removal of the nominated paid occurrence, compiler-byte corruption and literal-definition-byte corruption. The source-corruption controls test custody only. Physical phase/sign/boundary/orientation faults pass through the actual dense comparison predicates; no new phase-only engine is introduced. + +## Resource and outcome boundary + +One existing guarded root pair:150seconds aggregate,512MiB sampled descendant RSS,60seconds maximum per child, normal and optimized children strictly serial. No workers, background processes, expanded map set or implicit cap increase. The request binds the existing guard and shared lock; root reviews exact current source/ownership before executing. + +A passing result establishes a finite all-input nine-axis matrix identity for one paid map, with exact source recipe and one literal occurrence. Linear extension gives arbitrary input at this finite width. Positive-width tensor substitution is a conditional implication under the retained native implementation and ordinary monomial conventions; it is not a newly proved uniform machine implementation. Scalar coefficients of the surrounding module remain outside tensor products. + +Parent arbitrary-input autonomy, owned erasure, ordinary routing costs, precision/tape/storage, stock, compiler reserve and the complete applicable outer transfer remain separate premises. No all743endpoint replay, full physical caller, complete native universe, full5580funding admission, selected update or newκ is claimed. This is a forward paid MOVE; the reversed-orientation fault control is not a whole-caller raw inverse transpose and does not invent a new dual requirement. + +Credit Ali Romman's5580construction and retained local/native source; GamingPuzzled5569, DreamingOfClouds5561, thu-nmrc5551; Matarener5572and the5569report; Scratch-net5585receipt transfer; Chris R/Clear1nsight5548dense interpreter,5550caller and5573subset; all retained native, Clifford, controller, compiler and analytic predecessors. 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"outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-construct.py": "94388e93d21a1b7ff4c35d23ccefc369aba687fb92847fca2cc99b4b80eb6c15", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-verify.py": "6c6971f6298a2d0abc6ad49b11376c87c7c693139c1032f6727cfb52dded54ca", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-INPUTS.json": "5c6250c2f0c29aef2d94697d15a88806bfe76232a01169a55c3c1c04ce162920", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-PR5585-BINDINGS.json": "2468767fca317a2ab7340d6c494ff6d5b93c5f705ceab4594857d1441f56e9b3", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-PR5585-CUSTODY.json": "77e2a431cd56ff235a247be737dbd792a0c03fe2975453e784e4f72be1d05f25", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-RESULT.json": "2c4f449968c00c563d31fe9aec4aec553764083ef2420e0818aabdb9fc7e0037", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-SOURCES.json": "27ab668a7d25c71ab9ab1b328383ddbe071449a3dd60a084491ee8cd050c53b6", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-verify.py": "72073f22bbbe55d9d8e34d4094920c3ff8cb96aaaa97e434cd582b430da2580b", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5545.json.gz": "a1e416add9d2bb44fce923111ebc50513e5d845e56aabe214f2f0bc7d5f2b45d", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5551.json.gz": "48f8734ca9c5adf5d60ded3a5fefbc24894d2c358ed7cb30fcc0d71718599446", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5569.json.gz": "12224e9a13a49c830b304338a8d31610fb43da15d1a650537733c27f7864310f", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5580.json.gz": "b2a98c4bd0dbe86c09e9d15ee060dcf1aab09dbef90aa1e2127676f4039f406b", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/compiler.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/custody-revision.json": "efe80b15d50743be5a2e0934bfb831f2eda7fde00a1362eba33d191a4089719f", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/dense-QUALIFIED-PAIR.json": "d11bd85440d02aac08569e23b8144a45a31c59d90da0d35d329aa370c17cda34", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/dense-QUALIFIED-RESULT.json": "34299df26387b69f1a89cc52d52cae3add51f4e12c0715e0de38d42fab302c9f", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/dense.py": "43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/literal.py": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/local.py": "878734dfd64c4b9d362d0ae476cc5c2a19fe93e48b7378763b23f3e0dd0a5a71", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-PAIR.json": "30cba5b44f7a8c5f8b9f31afc361a0d4aedc62c38093251710017120751b757c", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-RESULT.json": "fa2fe7ce93e72569f611ca810f440e6b77d92221350c51b7b6ab19ca34d6c64b", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/pr5545-source-closure.tar.gz": "59768da554e11b11fae52d07f520f50684cc7a9ee0bec2873edbcd6b63814837", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/source-observation-202859Z.json": "4c2ab0f2b90bf8a3c0ecbe3f3d6345d79a864523979a28bb26c71c96342d7d5a", + "outputs/continuous-kappa-process-20261026/guarded/coordination/run_guarded.py": "720153b7491acede2c66bdc2dfd3174653195fa3222ec3589d0671c406a5bad8" + }, + "freeze_status": "FROZEN_FOR_ROOT_REVIEW", + "guard_command": [ + "python3", + "-B", + "outputs/continuous-kappa-process-20261026/guarded/coordination/run_guarded.py", + "--name", + "pr5580-single-native-3-737", + "--seconds", + "150", + "--memory-mib", + "512", + "--cwd", + "/home/d3lerium/.codex/.chatgpt-projects/g-p-6ad5817fd84881918865926b6fd51453", + "--", + "python3", + "-B", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py" + ], + "memory_mib": 512, + "modes": [ + "normal", + "optimized" + ], + "new_kappa": null, + "per_child_seconds": 60, + "public_occurrences": [ + [ + 12658, + 451, + false + ] + ], + "rank": 4, + "root_acceptance_required": true, + "schema": "single-native-interface-request/v1", + "scientific_executor": "root", + "source_gate": "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json", + "stop_after_one_pair": true, + "target_head": "6efa248cf456d6101d757e9d09ba29711d18a13a", + "target_pair": [ + 3, + 737 + ], + "total_seconds": 150, + "worker_execution_performed": false +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/ROOT-REVIEW-AND-COMMANDS.md b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/ROOT-REVIEW-AND-COMMANDS.md new file mode 100644 index 0000000000..62454f1257 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/ROOT-REVIEW-AND-COMMANDS.md @@ -0,0 +1,11 @@ +# Root review and one proposed execution + +Read CONTRACT.md, INPUTS.json and SOURCE-GATE.json first. The source gate is bounded public evidence, not scientific acceptance. The proposed object is one paid native pair, one actual occurrence and one normal/-O qualification, not5580admission. The preparer performed source-data lookup, fixture copying, hashing and AST parsing only. + +REQUEST-PROPOSED.json pins all checker, runner, source and contract files. It binds the existing continuous-process guard and its shared lock,150seconds aggregate/512MiB sampled RSS, and60seconds per serial child. No cap increase or automatic second attempt follows. Prior706work is held; no files there are inputs to this nomination. + +If root accepts the proposal, copy REQUEST-PROPOSED.json byte for byte to REQUEST.json. That explicit root action records the freeze decision without changing any scientific fixture. Then use the exact guard_command array in the request, from the project workspace. The runner prints an exact-pair receipt only after every scientific output byte agrees in both modes with no excluded fields. + +Expected successful marker: `PASS_PR5580_SINGLE_NATIVE_PAIR`. Successful output must still have `new_kappa:null`, full caller/native-universe/743-row flags false, inherited framework premises, the exact source recipe and all512columns. A cap stop or checker failure is a preserved unsuccessful attempt, not a mathematical counterexample by default. Do not rerun into the same output names. + +The complete existing-receipt search is deliberately limited to exact ordered boundary descriptors in5572, the old182receipt and5585. If a newly captured matching receipt appears before execution, stop and reassess transfer instead of running a redundant dense check. A changed5580head requires a separately recorded applicability decision; do not overwrite these inputs. diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json new file mode 100644 index 0000000000..feb4f6b787 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json @@ -0,0 +1,63 @@ +{ + "schema": "bounded-native-pair-freeze-attestation/v1", + "observed_utc": "2026-10-25T20:48:16Z", + "source_followup_completed_utc": "2026-10-25T20:51:21Z", + "status": "CLEAR_FOR_ROOT_TO_FREEZE_ONE_SCOPED_NATIVE_PAIR_REQUEST", + "authority": "Root alone decides request freeze and execution; this is source/overlap evidence, not scientific admission.", + "source": { + "pr": 5580, + "head": "6efa248cf456d6101d757e9d09ba29711d18a13a", + "current_head_equals_frozen": true, + "word_blob": "9434855e7dad0d0236d23210b3e71a2b83a9ae64", + "word_sha256": "b2a98c4bd0dbe86c09e9d15ee060dcf1aab09dbef90aa1e2127676f4039f406b", + "hosted_run": 40230586781, + "hosted_conclusion": "success" + }, + "pair": { + "event": 12658, + "operation": "MOVE", + "register": 451, + "public": true, + "from_label": 3, + "to_label": 737, + "from_basis": [], + "to_basis": [ + 11, + 21, + 33, + 455 + ], + "rank": 4, + "scope": "One exact finite nine-axis operator, all512columns, phase/norm/support; no whole-word, caller or all-width admission" + }, + "ownership": { + "canonical_discussion": 5574, + "state": "DONE/released", + "published_next": "Independently review this contact and inherited endpoint contract", + "no_new_explicit_competing_pair_audit_observed": true, + "independent_audit_distinct_from_active_construction": "5575 now reserves intermediate-subspace contact optimization, not this one unchanged-source operator check" + }, + "new_transfer_overlap": { + "pr": 5585, + "head": "a21a5af71581d678476b882b4b8f27339a2e067d", + "source_scope": "Exact5569only;5580transfer explicitly open", + "bindings_blob": "97802b889f69fbdf7eaa65bf2128901b4a983d03", + "bindings_raw_sha256": "2468767fca317a2ab7340d6c494ff6d5b93c5f705ceab4594857d1441f56e9b3", + "bindings_canonical_json_sha256": "eb528b5a8d796cdeea7ff1bc5639fc0d8c891d5e8118eb7911090c3a7ad54f05", + "hosted_run": 40231737798, + "hosted_status": "in_progress", + "hosted_conclusion": null, + "static_target_match": "Absent", + "comparison_report_owner": "/root/successor_admission_map_20261026", + "reported_static_check": "No MOVE/helper occurrence in5585BINDINGS has actual5569orderedbases []→[11,21,33,455], nor reverse; rank0mainadapters cannot match rank4. Source descriptor() includes exactboundary,fullrecipe,actual/expected circuits. An equivalence beyond exactspec requires a separate algebraic proof.", + "old_receipt_absence": "Admission worker also reports absent exactdescriptor in5572 andold182receipt sets", + "new_operator_engine_execution": false + }, + "limitations": [ + "Bounded public source/claim inspection, not exhaustive novelty certificate.", + "Peer static receipt comparison supplied by admission worker, without engine imports or mathematical operator execution.", + "A later author head does not silently alter these immutable inputs; record it separately and decide applicability.", + "No request or scientific execution is authorized merely by this file." + ], + "custody_revision_required": "Use prior checkpoint20261025T202859Z/custody-revisions/20261025T204435Z/CUSTODY-REVISION.json to distinguish derived RESULT and exact author raw serialization." +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/STATUS.md b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/STATUS.md new file mode 100644 index 0000000000..462df5178c --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/STATUS.md @@ -0,0 +1,21 @@ +# Preparation pending PR5585 receipt applicability review + +Prepared scope: one actual PR5580 paid MOVE at event12658, register451, ordered frame pair(3,737), rank4, source head `6efa248cf456d6101d757e9d09ba29711d18a13a`. Its exact ordered bases are `[]` and `[11,21,33,455]`. + +Static source-data lookup found no identical ordered transition in PR5572's MOVE/helper full receipt or our182-map old-PR5545 receipt. Rank-zero main adapters cannot supply a rank-four operator certificate. This absence concerns those receipt sets only; it is not a universal uncovered-map claim and does not transfer old224coverage counts. + +Before a REQUEST could be frozen, the sole curator observed new PR5585, a complete5569→5572receipt-transfer/fresh-native package. **Overlap applicability is pending.** Its actual fresh/reused specs may already cover the nominated operator even though5580itself is not automatically admitted. Do not execute the draft checker or runner. There is no REQUEST.json or SOURCE-GATE.json. + +The draft, not executed, would use the unchanged qualified PR5548dense arithmetic, actual source-compiled recipe, all512columns/262144complex entries, signed Pauli images, absolute phase, independent B-block rank and support/norm checks. Its controls address phase-only faults invisible to signed tableaux, child sign, boundary correction, reverse orientation, wrong rank, missing occurrence and source corruption. A reused exact receipt would replace this proposed native run with a small source/recipe/occurrence transfer certificate. Preserve this preparation as historical WIP if that occurs. + +Source fixtures include the exact author raw RESULT serialization (Gitblob9eca7f2d6c2f09886ccd57a32fed8462bb539aa6, SHA256aab659f8cfed61fb5e2dca1f5bff1cdd7a493733a4b36d5433d7c332c5ccf78c) and the curator's custody revision. The earlier derived-pretty convenience file is not substituted for author bytes. + +Fresh curator evidence reports unchanged5580head and hosted40230586781success. Final source/owner distinctness is withheld until5585receipt lookup. No scientific engine, compiler, checker or pair was run by this preparer; only source-data reads and byte/text copying were performed. + +All-input matrix equality would apply to this finite nine-axis operator only. Positive-width tensor/native implementation, owned erasure, ordinary monomial costs, precision/tape/storage, parent autonomy and compiler/outer applicability remain conditional or outside scope. A reverse-orientation fault control is not a complete-caller raw inverse transpose. No newκ, full5580funding admission or whole-native coverage is claimed. The prior706transfer WIP remains held and unchanged. + +## Source gate resolved; proposal ready for root review + +The subsequent frozen curator attestation observed5580head6efa248c unchanged at20:48:16UTC and confirmed5574DONE/released with no new explicit competing exact-pair audit in the bounded source check. PR5585head `a21a5af71581d678476b882b4b8f27339a2e067d` was captured and inspected. Its MOVE/helper occurrence list has no exact ordered boundary `[]→[11,21,33,455]`; rank-zero main adapters do not match rank4. Its descriptor includes the boundary and actual/lowered/literal circuits, so strict descriptor substitution remains unavailable. No claim of matrix inequivalence across other frame representations is made. + +`SOURCE-GATE.json` preserves the curator attestation unchanged. `REQUEST-PROPOSED.json` is a complete hashed proposal for root review; it is not an execution decision. Root may accept it as REQUEST.json after reviewing the source gate and scope. The runner requires REQUEST.json, which the preparer has not created. There are no result or pair-receipt files and no scientific code has been run. Earlier pending-status paragraphs are retained as source-change history. diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/check.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/check.py new file mode 100644 index 0000000000..a7f51841ae --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/check.py @@ -0,0 +1,219 @@ +#!/usr/bin/env python3 +"""One source-bound PR5580 native interface; credited PR5548 dense arithmetic. + +Prepared for Chris R/Clear1nsight with OpenAI Codex assistance. Apache-2.0. +No complete caller, source constructor, funding engine or native universe runs. +""" +from copy import deepcopy +import gzip +import hashlib +import importlib.util +import json +from pathlib import Path +import sys +import tarfile + +B = Path(__file__).resolve().parent +S = B/'sources' +HEAD = '6efa248cf456d6101d757e9d09ba29711d18a13a' +COMPILER = '2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962' +LITERAL = '3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38' +DENSE = '43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d' +CAPSULE = '59768da554e11b11fae52d07f520f50684cc7a9ee0bec2873edbcd6b63814837' +WORD = 'b2a98c4bd0dbe86c09e9d15ee060dcf1aab09dbef90aa1e2127676f4039f406b' +AUTHOR_RESULT = 'aab659f8cfed61fb5e2dca1f5bff1cdd7a493733a4b36d5433d7c332c5ccf78c' + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def sha(raw): + return hashlib.sha256(raw).hexdigest() + + +def read(name): + raw = (S/name).read_bytes() + return json.loads(gzip.decompress(raw) if name.endswith('.gz') else raw) + + +def authenticate_bytes(raw, digest): + need(sha(raw) == digest, 'source authentication before scientific import') + + +def authenticate(): + manifest = json.loads((B/'INPUTS.json').read_bytes()) + need(manifest['head'] == HEAD and manifest['target_pair'] == [3,737] and manifest['rank'] == 4, + 'one frozen native interface') + for row in manifest['files']: + raw = (B/row['file']).read_bytes() + authenticate_bytes(raw,row['sha256']) + blob = hashlib.sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + need(blob == row['git_blob'], 'source Git blob '+row['file']) + for file, digest in [('compiler.py',COMPILER),('literal.py',LITERAL),('dense.py',DENSE), + ('WORD5580.json.gz',WORD),('5580-RESULT-raw.json',AUTHOR_RESULT), + ('pr5545-source-closure.tar.gz',CAPSULE)]: + authenticate_bytes((S/file).read_bytes(),digest) + need(read('5580-SOURCES.json')['retained_source']['sha256'] == CAPSULE, + '5580 retains exact source capsule') + with tarfile.open(S/'pr5545-source-closure.tar.gz') as archive: + for fixture, path in [('compiler.py','research/p104-native-channel/vendor/clifford_exact.py'), + ('literal.py','research/p104-native-channel/vendor/native_verify.py'), + ('local.py','research/p104-productive-controller/local.py')]: + need(archive.extractfile(path).read() == (S/fixture).read_bytes(), 'actual source recipe convention '+fixture) + for pairfile, resultfile in [('dense-QUALIFIED-PAIR.json','dense-QUALIFIED-RESULT.json'), + ('old182-PAIR.json','old182-RESULT.json')]: + pair = read(pairfile) + need(pair['complete_output_equal'] and pair['scientific_fields_excluded'] == 0, + 'retained complete qualification pair') + authenticate_bytes((S/resultfile).read_bytes(),pair['result_sha256']) + # Source-currentness is a frozen curator statement, not an inference from age. + gate = json.loads((B/'SOURCE-GATE.json').read_bytes()) + need(gate['status'] == 'CLEAR_FOR_ROOT_TO_FREEZE_ONE_SCOPED_NATIVE_PAIR_REQUEST' and + gate['source']['head'] == HEAD and gate['source']['current_head_equals_frozen'] is True and + gate['pair']['from_basis'] == [] and gate['pair']['to_basis'] == [11,21,33,455] and + gate['pair']['event'] == 12658 and gate['pair']['register'] == 451 and gate['pair']['rank'] == 4 and + gate['ownership']['no_new_explicit_competing_pair_audit_observed'] is True, + 'fresh exact-head and owner/scope source gate') + return manifest, gate + + +def load(path, name): + spec = importlib.util.spec_from_file_location(name,path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def rank(vectors): + pivots = {} + for v in vectors: + while v: + j = v.bit_length()-1 + if j not in pivots: + pivots[j] = v + break + v ^= pivots[j] + return len(pivots) + + +def target_contract(word): + need(word['public'] == 735 and word['frames'][3] == [] and word['frames'][737] == [11,21,33,455], + 'exact ordered source frame bytes') + need(rank(word['frames'][737]) == len(word['frames'][737]) == 4, 'independent literal rank-four frame') + occurrences = [[i,e[1],e[4]] for i,e in enumerate(word['program']) + if e[0] == 'MOVE' and e[2:4] == [3,737]] + need(occurrences == [[12658,451,False]], 'all actual paid occurrences of nominated map') + need(word['program'][12658] == ['MOVE',451,3,737,False], 'literal paid register451 binding') + return occurrences + + +def existing_receipt_check(word): + a,b = word['frames'][3],word['frames'][737] + refword = read('WORD5551.json.gz') + full = read('5572-FULL-CHECK.json')['maps'] + hits5572 = [r for r in full if r[0][0] in ('move','helper') and + refword['frames'][r[0][1]] == a and refword['frames'][r[0][2]] == b] + oldword = read('WORD5545.json.gz') + old = read('old182-RESULT.json')['maps'] + hits182 = [r for r in old if oldword['frames'][r['old_frame']] == a and oldword['frames'][r['new_frame']] == b] + successor = read('WORD5569.json.gz') + bindings = read('5585-PR5585-BINDINGS.json') + canonical = json.dumps(bindings,sort_keys=True,separators=(',',':')).encode() + need(sha(canonical) == read('5585-RESULT.json')['bindings_sha256'], '5585 canonical receipt hash; not raw-byte hash') + hits5585 = [r for r in bindings['occurrences'] if r['task'][0] in ('move','helper') and + successor['frames'][r['task'][1]] == a and successor['frames'][r['task'][2]] == b] + need(not hits5572 and not hits182 and not hits5585, 'scope changed: exact existing receipt transfer now available') + return {'5572_MOVE_helper_exact_ordered_frame_hits':hits5572,'old182_exact_ordered_frame_hits':hits182, + '5585_MOVE_helper_exact_ordered_frame_hits':hits5585, + '5585_evidence_head':'a21a5af71581d678476b882b4b8f27339a2e067d', + '5585_boundary_match_rule':'descriptor includes exact ordered boundary, complete recipe, actual and expected circuits; no identical boundary candidate exists', + 'rank_zero_main_adapter_reuse_excluded_by_rank':True, + 'scope':'Only these exact receipt sets; no universal absence or old224-count transfer.'} + + +def compare(actual, literal, C, V, D, charged_rank): + signed = V.tableau(literal) + independent = rank([x for x,z,p in signed[9:]]) + need(independent == charged_rank == 4, 'independent literal B-block and charged rank') + need(V.tableau(actual) == signed, 'all eighteen exact signed Pauli images') + need(sum(g[0] == 'C' for g in actual) == charged_rank and + all(g[2] == 1 for g in actual if g[0] == 'C'), 'positive canonical Gaussian child') + left, right = D.compile_circuit(actual), D.compile_circuit(literal) + digest = hashlib.sha256() + for column in range(512): + a,b = D.dense_column(left,column),D.dense_column(right,column) + need(a == b, 'exact absolute-phase matrix column '+str(column)) + real,imag,denominator = a + need(sum(x*x for x in real)+sum(x*x for x in imag) == 1 << (2*denominator), 'unit column norm') + need(sum(bool(x or y) for x,y in zip(real,imag)) == 1 << charged_rank, 'measured Gaussian support rank') + digest.update(json.dumps([column,denominator,real,imag],separators=(',',':')).encode()) + digest.update(b'\n') + return {'columns':512,'complex_entries':512*512,'matrix_sha256':digest.hexdigest(), + 'signed_Pauli_images':signed,'independent_B_block_rank':independent, + 'each_column_support':1 << charged_rank,'each_column_squared_norm':1} + + +def reject(name, work, expected): + try: + work() + except ValueError as error: + need(expected in str(error), 'unexpected rejecting predicate '+name+': '+str(error)) + return str(error) + raise ValueError('mutation accepted: '+name) + + +def main(): + manifest,gate = authenticate() + word = read('WORD5580.json.gz') + occurrences = target_contract(word) + previous = existing_receipt_check(word) + C = load(S/'compiler.py','p5580_native_compiler') + V = load(S/'literal.py','p5580_literal_definitions') + D = load(S/'dense.py','p5580_credited_dense_engine') + operation = C.canonical_frame(9,tuple(word['frames'][3])).adjoint().then(C.canonical_frame(9,tuple(word['frames'][737]))) + recipe,_ = C.lower_child(operation) + need(recipe['rank'] == 4 and recipe['right'] is not None, 'actual source-compiled rank-four recipe') + actual = V.recipe(recipe) + literal = V.adjoint(V.frame(word['frames'][3],9))+V.frame(word['frames'][737],9) + checked = compare(actual,literal,C,V,D,4) + phased = actual+(('phase',1),) + need(V.tableau(phased) == V.tableau(actual), 'phase-only fault is invisible to signed tableau') + phase_column = D.first_difference(phased,literal) + flipped = list(actual) + at = next(i for i,g in enumerate(flipped) if g[0] == 'C') + flipped[at] = ('C',flipped[at][1],-flipped[at][2]) + sign_column = D.first_difference(tuple(flipped),literal) + boundary_column = D.first_difference(actual+(('X',1),),literal) + orientation_column = D.first_difference(actual,V.adjoint(literal)) + bad_word = deepcopy(word) + bad_word['program'][12658][3] = 3 + omitted = reject('paid occurrence',lambda:target_contract(bad_word),'all actual paid occurrences') + rank_fault = reject('rank',lambda:compare(actual,literal,C,V,D,3),'independent literal B-block and charged rank') + compiler_fault = reject('compiler corruption',lambda:authenticate_bytes((S/'compiler.py').read_bytes()+b'\n',COMPILER),'source authentication') + literal_fault = reject('literal corruption',lambda:authenticate_bytes((S/'literal.py').read_bytes()+b'\n',LITERAL),'source authentication') + result = {'status':'PASS_PR5580_SINGLE_NATIVE_PAIR', 'reviewed_head':HEAD,'target_pair':[3,737], + 'ordered_frame_bytes':[word['frames'][3],word['frames'][737]],'rank':4, + 'paid_occurrences':occurrences,'public_occurrences':1,'private_occurrences':0, + 'actual_source_recipe':recipe,'actual_gate_count':len(actual),'literal_gate_count':len(literal), + 'native_result':checked,'existing_receipt_lookup':previous, + 'controls':{'global_phase':{'first_rejected_column':phase_column,'signed_tableau_unchanged':True}, + 'wrong_child_sign':{'first_rejected_column':sign_column}, + 'wrong_boundary_correction':{'first_rejected_column':boundary_column}, + 'reverse_orientation':{'first_rejected_column':orientation_column}, + 'wrong_rank':rank_fault,'omitted_paid_occurrence':omitted, + 'compiler_source_corruption':compiler_fault,'literal_source_corruption':literal_fault}, + 'source_gate_observed_utc':gate['observed_utc'], + 'source_hashes':{r['file']:r['sha256'] for r in manifest['files']}, + 'positive_width_implication':'Factorwise tensor substitution only, conditional on retained native implementation and monomial cost conventions.', + 'complete_raw_dual_checked':False,'actual_dual_boundary':'This is one forward paid MOVE. Its reversed-orientation fault control is not a whole-caller raw inverse transpose.', + 'all_input_local_743row_ABI_checked':False,'full_caller_checked':False,'full_native_universe_checked':False, + 'parent_autonomy_and_owned_erasure_inherited':True,'precision_tape_storage_admitted':False, + 'compiler_outer_admitted':False,'new_kappa':None,'selected_kappa_unchanged':'.003027288235'} + print(json.dumps(result,sort_keys=True,separators=(',',':'))) + + +if __name__ == '__main__': + main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py new file mode 100644 index 0000000000..e5919f8a85 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py @@ -0,0 +1,46 @@ +#!/usr/bin/env python3 +"""Root-only one serial normal/-O pair via the existing shared resource guard.""" +import hashlib +import json +from pathlib import Path +import subprocess +import sys + +B = Path(__file__).resolve().parent +ROOT = B.parents[3] + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def main(): + raw = (B/'REQUEST.json').read_bytes() + request = json.loads(raw) + need(request['schema'] == 'single-native-interface-request/v1' and request['freeze_status'] == 'FROZEN_FOR_ROOT_REVIEW', + 'request frozen only after current source gate') + need(request['modes'] == ['normal','optimized'] and request['total_seconds'] == 150 and + request['per_child_seconds'] == 60 and request['memory_mib'] == 512, 'fixed resource contract') + for path,digest in request['files'].items(): + need(hashlib.sha256((ROOT/path).read_bytes()).hexdigest() == digest, 'frozen request '+path) + outputs = ['RESULT-normal.json','RESULT-optimized.json','STDERR-normal.txt','STDERR-optimized.txt','PAIR-RECEIPT.json'] + need(not any((B/path).exists() for path in outputs), 'preserve previous attempt; no overwrite/rerun') + for mode,flags in [('normal',[]),('optimized',['-O'])]: + with (B/('RESULT-'+mode+'.json')).open('xb') as out,(B/('STDERR-'+mode+'.txt')).open('xb') as err: + run = subprocess.run([sys.executable,*flags,'-B',str(B/'check.py')],cwd=ROOT,stdout=out,stderr=err,timeout=60) + need(run.returncode == 0 and (B/('STDERR-'+mode+'.txt')).stat().st_size == 0, mode+' failed; preserve evidence') + result = json.loads((B/('RESULT-'+mode+'.json')).read_bytes()) + need(result['status'] == 'PASS_PR5580_SINGLE_NATIVE_PAIR' and result['new_kappa'] is None, 'one scoped native result') + left,right = [(B/('RESULT-'+mode+'.json')).read_bytes() for mode in ('normal','optimized')] + need(left == right, 'all scientific output bytes agree normal/-O') + receipt = {'schema':'exact-pair-equality/v2','complete_output_equal':True,'scientific_fields_excluded':0, + 'modes':2,'result_sha256':hashlib.sha256(left).hexdigest(),'request_sha256':hashlib.sha256(raw).hexdigest(), + 'scope':'One PR5580 source-bound native pair; no complete source/caller/funding or new kappa.'} + with (B/'PAIR-RECEIPT.json').open('x') as out: + out.write(json.dumps(receipt,sort_keys=True,indent=2)+'\n') + print(json.dumps(receipt,sort_keys=True,separators=(',',':'))) + + +if __name__ == '__main__': + main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-FULL-CHECK.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-FULL-CHECK.json new file mode 100644 index 0000000000..a5d3165a26 --- /dev/null +++ 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"f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72" + }, + { + "path": "research/p104-joint-contact/WORD.json.gz", + "usage": "input", + "purpose": "PR5551 coupled-contact word (canonical package on main)", + "git_blob": "c04a815c2662bcd0c48ce9c3067a0fe4a041573a", + "sha256": "48f8734ca9c5adf5d60ded3a5fefbc24894d2c358ed7cb30fcc0d71718599446" + }, + { + "path": "research/p104-joint-contact/RESULT.json", + "usage": "input", + "purpose": "PR5551 complete invoice and claimed raw root interval", + "git_blob": "a83db6d025b3755176449e679e58f8a2e16f3e5c", + "sha256": "36a5680f43c7da67e570b6c919de2934c6a5ce46db002993ff162aa36972d0ba" + }, + { + "path": "research/p104-full-frame-contact/WORD.json.gz", + "usage": "input", + "purpose": "PR5545 predecessor word for the delta", + "git_blob": "1ce96b0130daeea46ef53fdbd32bca2727aa6b35", + "sha256": "a1e416add9d2bb44fce923111ebc50513e5d845e56aabe214f2f0bc7d5f2b45d" + }, + { + "path": "research/p104-caller-independent-audit/CAPSULE-INVENTORY.json", + "usage": "input", + "purpose": "PR5550 capsule byte inventory", + "git_blob": "07c7b818f02c2aabab4798c3e8203ffd2fe1e827", + "sha256": "c3e525f5d42ad5b274b039db42f97a2b6e372b583d382c73f59dcb3142f1960d" + }, + { + "path": "research/p104-caller-independent-audit/capsule/outputs/p104-caller-route-audit-v2-20261025/check.py", + "usage": "input", + "purpose": "PR5550 caller and target-binding checker (patched in a temporary copy only)", + "git_blob": "506882c655d02cbf1ce6a61aabc8ea15982561e8", + "sha256": "0e5e0e3d56165437fc2821f41927e3f0cae838c60841a93e8b5cb46caeb7657c" + }, + { + "path": "research/p104-native-channel/vendor/clifford_exact.py", + "usage": "input", + "purpose": "canonical exact Clifford compiler (lower_child)", + "git_blob": "166841a037f069249f6f7f6dedb89248812f59e2", + "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962" + }, + { + "path": "research/p104-native-channel/vendor/native_verify.py", + "usage": "input", + "purpose": "canonical literal circuit descriptions", + "git_blob": "2c209dfa9cfade3bc20ac5fc9d876b433a147f8c", + "sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38" + }, + { + "path": "research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py", + "usage": "input", + "purpose": "PR5548 exact dense Gaussian-dyadic interpreter", + "git_blob": "e7e663bebaf13f44c95fb8eb118b472cf377e137", + "sha256": "43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d" + }, + { + "path": "research/pr4359-p7-padding/native_inventory.py", + "usage": "input", + "purpose": "native inventory read by the PR5550 checker", + "git_blob": "8d2d96e3998254c2333c43fe47cdfd074cbd811e", + "sha256": "65539acaf45bdfe8c5aee6830f9c9b3d1107c442a60842ef803fdd7688de8f32" + }, + { + "path": "research/kappa-0023-productive-jobs/dependencies/kappa-next-regime/direct-decoder/sources/DATA-PHASES.json", + "usage": "input", + "purpose": "phase data read by the PR5550 checker", + "git_blob": "d9a4f84211182ca200c081ea061d724c8a2cfb70", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + { + "path": "research/p104-joint-contact/PROOF.md", + "usage": "provenance", + "purpose": "PR5551 claim being audited", + "git_blob": "d1c5fb2211e95c3528b0b5ab99567012e73f98ef", + "sha256": "944e11a9a739b2e8cb5516f14959675d1eea7542b6508d7cfb034447e78260ac" + }, + { + "path": "research/p104-caller-independent-audit/PROOF.md", + "usage": "provenance", + "purpose": "PR5550 helper-endpoint contract", + "git_blob": "3a74b71a55753a6e7cb372d98b0074cf98dc8708", + "sha256": "d73ff9587a85db8063391919ffc4a17521ccd5759cdaf6338ba036703239d839" + } + ] +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-verify.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-verify.py new file mode 100644 index 0000000000..bdd861044a --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-verify.py @@ -0,0 +1,359 @@ +#!/usr/bin/env python3 +"""Independent native-map inventory, caller binding, replay and funding audit of PR5551. Apache-2.0. + +Prepared for Matarener with Claude (Anthropic), via Claude Code. +Layers (all on the canonical research/p104-joint-contact word): + 1. own exact replay of the PR5551 and PR5545 words (no source imports) and the coupled-contact delta; + 2. Chris R / Clear1nsight's byte-pinned PR5550 caller and target-binding checker, run on the PR5551 + word with four literal input lines changed in a temporary copy (positive control: unchanged + PR5550 output on PR5545); + 3. dense all-column comparison, with absolute phase, of every distinct native MOVE map, every helper + endpoint normalizer and every intrinsic main adapter of the PR5551 word, using PR5548's credited + dense interpreter. Default: a fixed deterministic subset (all added maps, every helper endpoint, + every adapter and every 32nd MOVE map) compared with FULL-CHECK.json; --full checks every map; + 4. own decimal interval engine for the raw moment crossing and the claimed/tested savings. +""" +from collections import Counter +from decimal import Decimal, getcontext +from fractions import Fraction as Q +from hashlib import sha256 +from multiprocessing import Pool +from pathlib import Path +import gzip +import importlib.util +import json +import os +import shutil +import subprocess +import sys +import tempfile + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +WORD = ROOT/'research/p104-joint-contact/WORD.json.gz' +RESULT = ROOT/'research/p104-joint-contact/RESULT.json' +PRED = ROOT/'research/p104-full-frame-contact/WORD.json.gz' +AUDIT = ROOT/'research/p104-caller-independent-audit' +CHECK = 'outputs/p104-caller-route-audit-v2-20261025/check.py' +EXPECTED_5550 = 'b51a7d19c10faea7d569a48e9536db8ba1e7418f8dd8dfb25646cc87cc9c4009' +CLIFFORD = ROOT/'research/p104-native-channel/vendor/clifford_exact.py' +LITERAL = ROOT/'research/p104-native-channel/vendor/native_verify.py' +DENSE = ROOT/'research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py' +PROFILE = {4: 51, 5: 36, 7: 24, 8: 122, 9: 294} +ADDED = {(17, 720), (17, 782), (615, 207), (775, 207)} + +REPLACEMENTS = ( + (" word = read(PRIOR/'sources/contact/WORD.json.gz')\n", + " word = read(Path(os.environ['P104_WORD']))\n" + " FREE = json.loads(Path(os.environ['P104_INVOICE']).read_text())\n"), + ("helper_profile == Counter({4:51, 5:36, 7:24, 8:122, 9:294})", + "helper_profile == Counter({int(k):v for k,v in json.loads(os.environ['P104_PROFILE']).items()})"), + (" costs = source['complete_cost']\n", + " costs = FREE\n"), + ("nr['local_routes'] == 5334000 and sum(paid_local.values()) == 3624", + "nr['local_routes'] == (sum(paid_local.values())+2*527+208+4*104+4*8)*1000 and sum(paid_local.values()) == int(os.environ['P104_MOVES'])"), +) + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def hashlib_file(path): + return sha256(Path(path).read_bytes()).hexdigest() + + +def read(path): + raw = Path(path).read_bytes() + return json.loads(gzip.decompress(raw) if str(path).endswith('.gz') else raw) + + +def authenticate(): + for row in json.loads((HERE/'SOURCES.json').read_text())['files']: + need(hashlib_file(ROOT/row['path']) == row['sha256'], 'source pin '+row['path']) + for name, digest in json.loads((AUDIT/'CAPSULE-INVENTORY.json').read_text())['files'].items(): + if name.startswith('capsule/'): + need(hashlib_file(AUDIT/name) == digest, 'PR5550 capsule byte '+name) + + +# ---------------------------------------------------------------- layer 1: own replay +def span(basis): + s = {0} + for v in basis: + need(type(v) is int and 0 < v < 512 and v not in s, 'independent binary basis') + s |= {x ^ v for x in s} + return frozenset(s) + + +def replay(w): + S = [span(f) for f in w['frames']] + n = w['public'] + live = set(w['live']) + cur = list(w['initial'])+[None]*8 + rows = [{r: Q(1)} for r in range(n+8)] + owned, paid, peak = set(), Counter(), 0 + for e in w['program']: + op, r = e[0], e[1] + if op == 'MOVE': + a, b, private = e[2], e[3], e[4] + need(cur[r] == a and (r in owned) == private, 'transport source and ownership') + need(S[b] < S[a] if private else S[a] < S[b], 'strict nesting') + paid[abs(len(w['frames'][b])-len(w['frames'][a]))] += 1 + cur[r] = b + elif op == 'INIT': + need(r >= n and r not in owned, 'owned initialization') + owned.add(r) + peak = max(peak, len(owned)) + rows[r], cur[r] = {}, e[2] + elif op == 'CLEAR': + need(r in owned and cur[r] == e[2], 'owned erasure') + owned.discard(r) + rows[r], cur[r] = {}, None + else: + q, f = Q(e[-2]), e[-1] + need(q != 0 and cur[r] == f, 'destination chart') + if op == 'SCALE': + rows[r] = {k: q*v for k, v in rows[r].items()} + else: + s = e[2] + need(s != r and cur[s] == f, 'common chart') + if op == 'COPY': + need(r in owned and not rows[r], 'COPY into cleared owned field') + rows[r] = {k: q*v for k, v in rows[s].items()} + else: + need(op == 'ADD', 'opcode') + t = dict(rows[r]) + for k, v in rows[s].items(): + t[k] = t.get(k, 0)+q*v + rows[r] = {k: v for k, v in t.items() if v} + need(not owned and peak == 1 and cur[:n] == w['final'], 'public and owned exits') + for r in range(n+8): + expected = {r: Q(1)} if r < n else {} + if r-112 in live: + expected[r-112] = Q(1) + need(rows[r] == expected, 'endpoint row %d' % r) + main = live | {r+112 for r in live} + helpers = Counter(len(w['frames'][w['final'][r]])-len(w['frames'][w['initial'][r]]) for r in range(n) if r not in main) + return paid, helpers, S + + +def layer1(new, old): + pn, hn, Sn = replay(new) + po, ho, So = replay(old) + need(hn == ho == Counter(PROFILE), 'helper profile retained') + strip = lambda w: [e[:-1] if e[0] in ('ADD', 'COPY', 'SCALE') else e[:2] for e in w['program'] if e[0] != 'MOVE'] + need(strip(new) == strip(old), 'scalar and owned program identical up to frame labels') + sn = [e for e in new['program'] if e[0] != 'MOVE'] + so = [e for e in old['program'] if e[0] != 'MOVE'] + edits = Counter(x[0] for x, y in zip(so, sn) if So[x[-1]] != Sn[y[-1]]) + sites = [[k, x[1], x[2]] for k, (x, y) in enumerate(zip(so, sn)) if x[0] == 'ADD' and So[x[-1]] != Sn[y[-1]]] + delta = {r: pn[r]-po[r] for r in sorted(set(pn) | set(po)) if pn[r] != po[r]} + need(dict(edits) == {'ADD': 6, 'SCALE': 15}, 'six ADD and fifteen SCALE chart edits') + need(delta == {1: 2, 2: -3, 3: 1, 4: -1, 5: 1}, 'local paid delta 2H1-3H2+H3-H4+H5') + need(all(So[old[k][r]] == Sn[new[k][r]] for k in ('initial', 'final') for r in range(new['public'])), 'all public endpoint spans retained') + return {'paid_local': {str(k): v for k, v in sorted(pn.items())}, 'moves': sum(pn.values()), 'helper_profile': {str(k): v for k, v in sorted(hn.items())}, + 'chart_edits': dict(edits), 'add_sites': sites, 'local_paid_delta': {str(k): v for k, v in delta.items()}, 'endpoint_rows_checked': new['public']+8} + + +# ---------------------------------------------------------------- layer 2: PR5550 caller checker +def run_checker(work, word_path, invoice, profile, moves): + inv = work/'invoice.json' + inv.write_text(json.dumps(invoice)) + env = dict(os.environ, PYTHONDONTWRITEBYTECODE='1', P104_WORD=str(word_path), P104_INVOICE=str(inv), + P104_PROFILE=json.dumps(profile), P104_MOVES=str(moves)) + env.pop('P104_TRACE_FILE', None) + command = [sys.executable, '-X', 'pycache_prefix='+str(work/'bytecode')]+(['-O'] if sys.flags.optimize else [])+['-B', str(work/'capsule'/CHECK.replace('check.py', 'check_free.py'))] + done = subprocess.run(command, cwd=work/'capsule', env=env, capture_output=True, timeout=300) + return done.returncode, done.stdout, done.stderr.decode(errors='replace') + + +def layer2(cost): + with tempfile.TemporaryDirectory(prefix='p104-5551-caller-') as tmp: + work = Path(tmp) + shutil.copytree(AUDIT/'capsule', work/'capsule') + text = (work/'capsule'/CHECK).read_text() + for old, new in REPLACEMENTS: + need(text.count(old) == 1, 'literal present once: '+old.strip()[:60]) + text = text.replace(old, new) + (work/'capsule'/CHECK.replace('check.py', 'check_free.py')).write_text(text) + prior = AUDIT/'capsule/outputs/p104-contact-reassessment-20261025/sources/contact' + code, out, err = run_checker(work, prior/'WORD.json.gz', read(prior/'RESULT.json')['complete_cost'], PROFILE, 3624) + need(code == 0 and not err and sha256(out).hexdigest() == EXPECTED_5550, 'positive control reproduces PR5550 output: '+err[-1500:]) + code, out, err = run_checker(work, WORD, cost, PROFILE, 3624) + need(code == 0 and not err, 'PR5551 caller checker: '+err[-1500:]) + res = json.loads(out) + need(res['status'] == 'PASS_SCOPED_CALLER_AND_TARGET_BINDING' and len(res['controls']) == 10, 'scoped caller status and controls') + need(sum(res['paid'].values()) == 69912 and sum(res['targets'].values()) == 12814, 'complete invoice') + bad = dict(cost, paid=dict(cost['paid'], **{'1': cost['paid']['1']+1})) + code, _, err = run_checker(work, WORD, bad, PROFILE, 3624) + need(code != 0 and 'complete unchanged paid/target invoice' in err, 'changed invoice rejected') + o = res['ordinary'] + return {'status': res['status'], 'paid_jobs': 69912, 'productive_fields': 12814, 'fresh_helpers': res['native_checks']['fresh_helpers'], + 'exact_native_checks': res['native_checks']['distinct_signed_Pauli_and_independent_phase_anchors'], + 'ordinary_passes': o['abstract_address_phase_scalar_pass_upper'], 'ordinary_allowance': o['retained_raw_scalar_upper'], + 'positive_control_pr5550_output': EXPECTED_5550, 'output_sha256': sha256(out).hexdigest(), 'changed_invoice': 'rejected'} + + +# ---------------------------------------------------------------- layer 3: dense native inventory +_M = {} + + +def _load(name, path): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def _init(): + _M['C'] = _load('audit5551_clifford', CLIFFORD) + _M['V'] = _load('audit5551_literal', LITERAL) + _M['D'] = _load('audit5551_dense', DENSE) + _M['F'] = read(WORD)['frames'] + + +def compare(actual, expected, rank): + D = _M['D'] + a, b = D.compile_circuit(actual), D.compile_circuit(expected) + h = sha256() + for column in range(512): + left, right = D.dense_column(a, column), D.dense_column(b, column) + need(left == right, 'exact complex column %d' % column) + re, im, d = left + need(sum(v*v for v in re)+sum(v*v for v in im) == 1 << (2*d), 'exact column norm') + need(sum(bool(x or y) for x, y in zip(re, im)) == 1 << rank, 'measured child rank') + h.update(json.dumps([column, d, re, im], separators=(',', ':')).encode()) + return h.hexdigest() + + +def dense_task(task): + C, V, F = _M['C'], _M['V'], _M['F'] + kind, a, b, q = task + if kind in ('move', 'helper'): + rec, _ = C.lower_child(C.canonical_frame(9, tuple(F[a])).adjoint().then(C.canonical_frame(9, tuple(F[b])))) + rank = abs(len(F[a])-len(F[b])) + need(rec['rank'] == rank, 'lowered rank') + return [list(task), rank, compare(V.recipe(rec), V.adjoint(V.frame(F[a], 9))+V.frame(F[b], 9), rank)] + if kind == 'main_in': + op, expected = C.cgate(9, q, 1).adjoint().then(C.canonical_frame(9, tuple(F[a]))), V.adjoint((('C', q, 1),))+V.frame(F[a], 9) + else: + op, expected = C.canonical_frame(9, tuple(F[a])).adjoint().then(C.cgate(9, q, -1).then(C.fourier(9))), V.adjoint(V.frame(F[a], 9))+(('C', q, -1),)+V.fourier(9) + rec, _ = C.lower_child(op) + need(rec['rank'] == 0, 'intrinsic adapter is monomial') + return [list(task), 0, compare(V.recipe(rec), expected, 0)] + + +def inventory(w): + live = set(w['live']) + main = live | {r+112 for r in live} + moves = sorted({(e[2], e[3]) for e in w['program'] if e[0] == 'MOVE'}) + helpers = sorted({(w['initial'][r], w['final'][r]) for r in range(w['public']) if r not in main}) + tasks = [('move', a, b, 0) for a, b in moves]+[('helper', a, b, 0) for a, b in helpers] + tasks += [('main_in', w['initial'][r], 0, q) for r, q in zip(w['live'], w['ports'])] + tasks += [('main_out', w['final'][r+112], 0, q) for r, q in zip(w['live'], w['ports'])] + return tasks + + +def layer3(w, old, full, jobs): + tasks = inventory(w) + pairs = lambda x: {(e[2], e[3]) for e in x['program'] if e[0] == 'MOVE'} + need(sum(t[0] == 'move' for t in tasks) == 2940 and pairs(w)-pairs(old) == ADDED, 'distinct MOVE inventory and the four maps new relative to PR5545') + chosen = tasks if full else [t for i, t in enumerate(tasks) if t[0] != 'move' or (t[1], t[2]) in ADDED or i % 32 == 0] + if jobs > 1: + with Pool(jobs, initializer=_init) as pool: + done = pool.map(dense_task, chosen, chunksize=8) + else: + _init() + done = [dense_task(t) for t in chosen] + # Controls on one added map: phase-only fault invisible to signed tableaux, wrong child sign. + if not _M: + _init() + C, V, D, F = _M['C'], _M['V'], _M['D'], _M['F'] + a, b = 615, 207 + rec, _ = C.lower_child(C.canonical_frame(9, tuple(F[a])).adjoint().then(C.canonical_frame(9, tuple(F[b])))) + actual, expected = V.recipe(rec), V.adjoint(V.frame(F[a], 9))+V.frame(F[b], 9) + fault = actual+(('phase', 1),) + need(V.tableau(fault) == V.tableau(actual) and D.first_difference(fault, expected) is not None, 'phase-only fault rejected densely') + flipped = list(actual) + i = next(i for i, g in enumerate(flipped) if g[0] == 'C') + flipped[i] = ('C', flipped[i][1], -flipped[i][2]) + need(D.first_difference(tuple(flipped), expected) is not None, 'wrong child sign rejected') + record = {'tasks_total': len(tasks), 'tasks_checked': len(done), 'full': full, + 'kinds': dict(Counter(t[0] for t in chosen)), 'ranks': {str(k): v for k, v in sorted(Counter(d[1] for d in done).items())}, + 'complex_entries_compared': 512*512*len(done), 'controls': {'phase_only_fault': 'rejected', 'wrong_child_sign': 'rejected'}} + return record, done + + +# ---------------------------------------------------------------- layer 4: own interval engine +def layer4(cost): + getcontext().prec = 80 + pad = Decimal(10)**-70 + + def power(r, t): + v = (t*Decimal(r).ln()).exp() + return v*(1-pad), v*(1+pad) + + def margin(k): + t, lo, hi = 1-k, Decimal(0), Decimal(0) + for r, n in cost['targets'].items(): + x, y = power(int(r), t) + lo, hi = lo+n*x, hi+n*y + for r, n in cost['paid'].items(): + x, y = power(int(r), t) + lo, hi = lo-n*y, hi-n*x + return lo, hi + lo, hi, grid = 0, 10**12, 10**14 + while hi-lo > 1: + m = (lo+hi)//2 + if margin(Decimal(m)/grid)[0] > 0: + lo = m + else: + hi = m + need(margin(Decimal(lo)/grid)[0] > 0 and margin(Decimal(hi)/grid)[1] < 0, 'strict crossing enclosure') + author = [Q(x) for x in cost['raw_root_interval']] + need(Q(lo, grid) == author[0] and Q(hi, grid) == author[1], 'crossing equals author interval') + signs = {k: ('positive' if margin(Decimal(k))[0] > 0 else 'negative' if margin(Decimal(k))[1] < 0 else 'undecided') + for k in ('.00304117', '.00304153', '.0030415305', '.00304154')} + need(signs == {'.00304117': 'positive', '.00304153': 'positive', '.0030415305': 'positive', '.00304154': 'negative'}, 'claimed/tested signs') + return {'raw_crossing': [str(Q(lo, grid)), str(Q(hi, grid))], 'signs': signs, + 'engine': 'decimal, 80 digits, correctly rounded ln/exp padded by 1e-70 relative; independent of both source engines and the PR5551 funding peer'} + + +def main(): + full = '--full' in sys.argv + jobs = int(sys.argv[sys.argv.index('--jobs')+1]) if '--jobs' in sys.argv else 1 + authenticate() + print('PASS authenticated canonical sources and PR5550 capsule', flush=True) + word, old, cost = read(WORD), read(PRED), read(RESULT)['complete_cost'] + out = {'layer1_replay': layer1(word, old)} + print('PASS layer 1 own replay and delta', out['layer1_replay']['chart_edits'], out['layer1_replay']['local_paid_delta'], flush=True) + out['layer2_caller'] = layer2(cost) + print('PASS layer 2 PR5550 caller checker on PR5551', flush=True) + out['layer4_funding'] = layer4(cost) + print('PASS layer 4 own interval engine', out['layer4_funding']['raw_crossing'], flush=True) + record, done = layer3(word, old, full, jobs) + print('PASS layer 3 dense maps', record['tasks_checked'], 'of', record['tasks_total'], flush=True) + full_path = HERE/'FULL-CHECK.json' + if full and '--write' in sys.argv: + full_path.write_text(json.dumps({'schema': 'p104-5551-dense-inventory/1', 'maps': done}, separators=(',', ':'))+'\n') + reference = {json.dumps(d[0]): d for d in json.loads(full_path.read_text())['maps']} + need(len(reference) == record['tasks_total'], 'FULL-CHECK covers the whole inventory') + for d in done: + need(reference[json.dumps(d[0])] == d, 'matrix digest equals FULL-CHECK for '+json.dumps(d[0])) + out['layer3_dense'] = dict(record, full_check_sha256=hashlib_file(full_path)) + out['layer3_dense'].pop('tasks_checked') + out['layer3_dense'].pop('kinds') + out['layer3_dense'].pop('ranks') + out['layer3_dense'].pop('complex_entries_compared') + out['layer3_dense'].pop('full') + if '--write' in sys.argv: + (HERE/'RESULT.json').write_text(json.dumps(out, indent=1, sort_keys=True)+'\n') + else: + need(json.loads(json.dumps(out)) == json.loads((HERE/'RESULT.json').read_text()), 'complete result equals RESULT.json') + print('PASS_P104_JOINT_CONTACT_NATIVE_CALLER_AUDIT', 'full' if full else 'subset') + + +if __name__ == '__main__': + main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-PROOF.md b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-PROOF.md new file mode 100644 index 0000000000..0051c81df5 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-PROOF.md @@ -0,0 +1,130 @@ +# One contact changes the complete P104 paid profile + +## Source and statement + +The input is the exact PR5569 word at +`af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf`. See +[SOURCES.json](SOURCES.json) for the source bytes and retained PR5545 engine. +All event numbers below are zero-based source indices. + +The construction changes the chart of `ADD 451 += 228` at event 12658. +It retains every scalar instruction, coefficient and position in the scalar +sequence. It also retains all 735 public initial and final frames, 527 helper +targets, eight owned lifetimes and the 104 literal ports. + +At each of the 18 forward local calls, the paid change is + +```text +H2 - 2 H3 + H4. +``` + +The complete conditional claim is kappa = 0.00308189. This claim uses the +five inherited framework assumptions and the source helper-endpoint contract. +It does not change the selected record. + +## Exact contact identity + +Let O, A, B and C denote the following binary subspaces. Each list is an +independent basis in the fixed nine-dimensional ambient space. + +| Frame | Name | Basis | Dimension | +| --- | --- | --- | --- | +| 3 | O | `[]` | 0 | +| 262 | A | `[11,21,486]` | 3 | +| 737 | B | `[11,21,33,455]` | 4 | +| 520 | C | `[1,10,20,32,64,390]` | 6 | + +Their spans satisfy O < A < B < C. The replay checks these inclusions on +the complete binary spans. Chart transport preserves the abstract row. +Two transports through an intermediate chart compose to the direct transport. +A common chart change commutes with addition of two rows. + +Register 228 stays at A after event 9575. Its next scalar use after the +changed contact is event 12674 at C. Register 451 stays at O after event +12591. Its next scalar use after the changed contact is event 14424 at B. +The constructor checks every intervening register access, including reads. + +The old paths are 228: A to C, and 451: O to A to B. They meet at A for +the addition. The new paths are 228: A to B to C, and 451: O to B. They +meet at B for the same addition. Thus both abstract rows agree at their +next unchanged use. Every other row is unchanged. This proves the local +identity for arbitrary inputs, including arbitrary helper inputs. + +The old bill is H3 + H3 + H1. The new bill is H1 + H2 + H4. Their +difference is H2 - 2 H3 + H4. Paid count and rank mass are unchanged. +The only newly used ordered native frame pair is (3,737). The exact +native replay checks this pair and all 2,921 distinct paid/target pairs, +including their signed Pauli images, absolute phases and ranks. + +## Strict concave gain + +For 0 < k < 1, x raised to 1-k is strictly concave on positive x. Hence + +```text +2^(1-k) + 4^(1-k) < 2 * 3^(1-k). +``` + +Let M(k) be target moment minus paid moment. The new complete moment is + +```text +M_new(k) = M_parent(k) + 18 * (2 * 3^(1-k) - 2^(1-k) - 4^(1-k)). +``` + +It is strictly larger throughout that range. This is a change to the paid +profile. It is not extra numerical precision for the same equation. + +The exact rational engines give these crossing intervals: + +| Word | Lower endpoint | Upper endpoint | +| --- | --- | --- | +| PR5569 | 0.00308181851522 | 0.00308181851523 | +| This word | 0.00308189496866 | 0.00308189496867 | + +The raw gain is strictly between 0.00000007645343 and 0.00000007645345. +The claimed endpoint is 0.00308189; it is tested at 0.0030818905. Its raw +headroom is between 0.00000000496866 and 0.00000000496867. + +The checker also bounds M_new'(k) with rational intervals on [0,0.0034]. +The derivative lies between -255126 and -237752, so the crossing is unique +on that band. Its upper endpoint is the raw funding ceiling for this fixed +invoice under the retained BIT cap. A different word, endpoint contract or +BIT supplier is outside this ceiling. No global optimum is claimed. + +## Complete caller and costs + +The unchanged caller has 18 forward local calls, 15 query shears and +3,120 whole idle jobs. It has 66,852 paid jobs, 12,814 productive fields, +rank-mass surplus 760, maximum paid rank 72 and maximum target rank 145. +The verifier derives the invoice from the physical event list and checks it +again from the two controller path lengths. It prices all helper targets, +normalizers, main adapters, query shears, idles, routes and owned operations. + +There are 25,140 local events and 21,686 scalar/owned events. The scalar +allowance is 217,428, the route allowance is 5,164,000 and the complete +nonrecursive bound is 184,647,552, below the retained 1,000,000,000 budget. +Peak owned occupancy stays one. The sum of local paid ranks is 6,013. +The source report's old literal 5,894 is replaced by this derived sum in +the native growth bound. This report correction does not change the +moment or the claimed gain. + +Two exact moment engines check the tested endpoint. The compiler checks +include all three tail ratios, the completion and splitting terms, the +integer threshold and the retained BIT stock. All 54 strict and four +functional outer predicates are positive. The source engine rejects its +insufficient BIT and old-cutoff controls. The new controls reject a missing +source transport, a wrong contact frame, a wrong coefficient, a descending +public return and the unchanged word presented as an improvement. + +## Scope + +This is an author-checked conditional construction. Finite exact replay +and the chart identity do not prove the full integer multiplication theorem. +The native all-column realization, owned erasure, uniform compiler closure, +precision/fixed-tape execution and analytic recovery remain inherited +assumptions. The free helper endpoints are inherited from PR5561/PR5569; +this contact changes none of them. The enormous uniform word and a complete +rounded multiplier are not materialized. Independent scientific review and +hosted CI are separate from the local checks. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +All retained source notices and predecessor credit remain in the package. diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-RESULT-raw.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-RESULT-raw.json new file mode 100644 index 0000000000..9eca7f2d6c --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-RESULT-raw.json @@ -0,0 +1,360 @@ +{ + "controls": { + "missing_source_transport": "Common scalar chart", + "non_nested_return": "Nested chronological transport", + "old_contact_frame": "Scalar destination and coefficient", + "unchanged_word": "One changed scalar chart", + "wrong_scalar_coefficient": "All 743 public and owned rows" + }, + "fixed_invoice_ceiling": { + "kappa_interval": [ + "0", + "17/5000" + ], + "moment_derivative": [ + "-100090376785506719797181787089356985109563298610876508023534659/392318858461667547739736838950479151006397215279002157056", + "-186549445205703696124004258008448731416061197407185050870233759/784637716923335095479473677900958302012794430558004314112" + ], + "scope": "This fixed paid and target invoice; the inherited BIT cap is retained." + }, + "inventory": { + "all_productive_targets_fixed": true, + "all_public_endpoints_fixed": true, + "changed_contacts": [ + [ + [ + "ADD", + 451, + 228, + "1", + 262 + ], + [ + "ADD", + 451, + 228, + "1", + 737 + ] + ] + ], + "events": 25140, + "global_paid_delta": { + "2": 18, + "3": -36, + "4": 18 + }, + "local_paid_delta": { + "2": 1, + "3": -2, + "4": 1 + }, + "ordered_scalar_events": 21686, + "owned_lifetimes_fixed": true, + "source_events": 25140 + }, + "local": { + "endpoint_coefficients": 552049, + "helpers": { + "4": 83, + "5": 5, + "8": 15, + "9": 424 + }, + "owned_lifetimes": 8, + "paid": { + "1": 2211, + "2": 459, + "3": 494, + "4": 94, + "5": 164, + "6": 18, + "7": 14 + }, + "peak_owned_fields": 1, + "public_inputs": 735, + "real_scalar_allowance": 217428 + }, + "native": { + "distinct_maps": 2921, + "helper_normalizers": 1054, + "helpers": { + "4": 83, + "5": 5, + "8": 15, + "9": 424 + }, + "main_adapters": 208, + "proof": "Every signed Pauli image and exact global phase; frame induction at every positive tensor width", + "recipe_payload_sha256": "51b77e6cc39bb8a51be9df5a3808f232a7f93e32cdd43fea8ed8aadc6cb1c7ea", + "wrong_phase_rejected": true + }, + "parent_raw_interval": [ + "154090925761/50000000000000", + "308181851523/100000000000000" + ], + "physical": { + "central_square_columns": 53248, + "full_calls": 18, + "main_targets": { + "145": 208, + "17": 416, + "25": 416, + "33": 416, + "41": 416, + "49": 416, + "57": 416, + "65": 416, + "73": 208 + }, + "new_paid_jobs": 0, + "physical_contacts": 7488, + "ports": 104, + "route_payload_sha256": "7f4f0ca768ffbc4f93dcff575592c4c67411f46b4289e45b73f715a2ad47b142", + "tensor_rule": "Factorwise native maps; scalar signs stay outside the tensor power.", + "whole_idle_jobs": { + "16": 416, + "24": 416, + "32": 416, + "40": 416, + "48": 416, + "56": 416, + "64": 416, + "72": 208 + }, + "wrapper_sites": [ + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17, + 19, + 21, + 23, + 25, + 27, + 29, + 31 + ] + }, + "raw_gain_interval": [ + "7645343/100000000000000", + "1529069/20000000000000" + ], + "result": { + "compiler": { + "H": 690116000000000, + "N": "2^690116000000000", + "eta": { + "lower": "0.000000150554445553564883795851", + "upper": "0.000000150554445553564883795852" + }, + "gap": "1/14000000000", + "integer_test_exponent": 49294, + "logarithm_power": 1000, + "theta": "63/64", + "uniform_saving": "21573233/7000000000", + "word_materialized": false + }, + "full_forward_calls": 18, + "gain": "1/12500000", + "kappa": "308189/100000000", + "kappa_decimal": ".00308189", + "margin_at_previous": { + "lower": "0.020815664773694609944898641645", + "upper": "0.020815664773694609944898641646" + }, + "negative_controls": { + "old_BIT": "Rejected by outer inequalities", + "old_cutoff": "Rejected by completion-tail ratio greater than one" + }, + "nonrecursive": { + "fixed_scalar_growth_bound": "At most 2^(16*26000) before native factors; a declared constant, not an attained norm.", + "local_routes": 5164000, + "local_scalar": 217428, + "peak_owned_fields": 1, + "raw_budget": 1000000000, + "raw_scalar_upper": 184647552, + "tensor_native_growth_bound": "Each rank-r Gaussian has row l1 norm at most 2^(rf); sum of local ranks is 6013." + }, + "ordinary_BIT": { + "admitted": "17/5000", + "after_cover": "69/20000", + "atom": "1/250", + "before_cover": "3459/1000000", + "ordinary_saving": "8590884599/2500000000000", + "prime_rule": "odd q > 2^26*N^5 avoiding all fixed denominators and rank witnesses" + }, + "outer": { + "functional_checks": { + "actual_new_BIT_stock_sublinear": "3485999999253/3500000000000", + "fixed_halo_explicit_metadata_branch": "269500000001/3500000000", + "new_BIT_row_stock_sublinear_in_active_group": "13957999997009/14000000000000", + "new_semantic_group_guard": "3/14000000000" + }, + "margins": { + "boundary_algebraic_matrix": "604050495956853537/196000000000000000000", + "fused_gaussian": "604050495870560611/196000000000000000000", + "global_coordinate_router": "1348327/437500000", + "group_bit_router": "18876578433455019/6125000000000000000", + "group_scans": "6999999999/7000000000", + "main_transform": "604050481956853537/196000000000000000000", + "microbox_face_corrections": "269500000001/3500000000", + "polynomial_products": "13999999999/14000000000", + "sparse_union_movement": "80229050495956853537/196000000000000000000" + }, + "parameters": { + "a": "1348327/437500000", + "b": "8629293/2800000000", + "beta": "13999999997/14000000000", + "bit_saving": "17/5000", + "cap_xi": "178229050481956853537/196000000000000000000", + "complex_uniform_saving": "21573233/7000000000", + "d": "1/14000000000", + "epsilon": "13999999999/14000000000", + "kappa": "308189/100000000", + "lambda_": "3987672439/4000000000", + "lambda_prime": "13956853537/14000000000", + "layout": "1/14000000000", + "q": "43146463/14000000000", + "r0": "1/140000000000", + "stop": "1/14000000000", + "tested_saving": "6163781/2000000000" + }, + "strict_checks": { + "actual_bit_above_effective": "139173/437500000", + "actual_logarithmic_gamma_guard": "1/14000000000", + "actual_logarithmic_group_guard": "17770949539043146463/98000000000000000000", + "alpha_logarithm_absorption": "1/140000000000", + "boundary_algebraic_matrix_above_kappa": "55956853537/196000000000000000000", + "cap_above_band": "80229050481956853537/196000000000000000000", + "cap_below_cell": "17770949504043146463/196000000000000000000", + "cap_below_phase_cell_power": "213770949518043146463/196000000000000000000", + "complex_above_effective": "1/14000000000", + "complex_below_one_over_32": "78870707/2800000000", + "complex_endpoint": "1/7000000000", + "epsilon_below_one": "1/14000000000", + "epsilon_positive": "13999999999/14000000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "55870560611/196000000000000000000", + "gaussian_above_main": "6956853537/98000000000000000000", + "global_coordinate_router_above_kappa": "1/3500000000", + "global_gamma_power_slack": "9/140000000000", + "group_below_dimension": "1/7000000000", + "group_bit_router_above_kappa": "2183455019/6125000000000000000", + "group_gauge_power_slack": "17770949538343146463/98000000000000000000", + "group_key_fits_record": "1/7000000000", + "group_positive": "13999999997/14000000000", + "group_scans_above_kappa": "6978426769/7000000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "675459790400418148631/500000000000000000000000", + "lambda_above_internal": "1/28000000000", + "lambda_above_sigma": "3/28000000000", + "lambda_above_tau": "1/28000000000", + "lambda_prime_above_lambda": "1/28000000000", + "lambda_prime_above_leaf": "5591370707/39200000000000000000", + "leaf_saving_above_effective": "2791370707/39200000000000000000", + "main_transform_above_kappa": "41956853537/196000000000000000000", + "membership_arithmetic_fits_record": "1/14000000000", + "microbox_face_corrections_above_kappa": "134744606693/1750000000", + "microbox_halo_volume": "1106000000003/14000000000", + "new_complex_uniform_saving_above_b": "1/14000000000", + "new_semantic_guard_with_C1_one": "1/14000000000", + "polynomial_products_above_kappa": "13956853539/14000000000", + "positive_layout_slack": "1/14000000000", + "q_below_effective": "1/14000000000", + "q_below_internal": "1/14000000000", + "q_below_leaf": "5591370707/39200000000000000000", + "q_positive": "43146463/14000000000", + "short_record_fallback": "2791370707/2800000000", + "source_axis_superpolynomial": "1/14000000000", + "sparse_union_movement_above_kappa": "79625000055956853537/196000000000000000000", + "stop_below_one": "13999999999/14000000000", + "stop_positive": "1/14000000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/14000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/14000000000", + "union_tag_work_per_visit_fits_record": "3/14000000000" + } + }, + "paid": { + "1": 41358, + "16": 416, + "2": 8262, + "24": 416, + "3": 8892, + "32": 416, + "4": 1692, + "40": 416, + "48": 416, + "5": 2952, + "56": 416, + "6": 324, + "64": 416, + "7": 252, + "72": 208 + }, + "paid_calls": 66852, + "previous_open_pr5569": "308181/100000000", + "productive_fields": 12814, + "query_shears": 15, + "rank_mass_surplus": 760, + "raw_headroom": [ + "248433/50000000000000", + "496867/100000000000000" + ], + "raw_root_interval": [ + "154094748433/50000000000000", + "308189496867/100000000000000" + ], + "relative_gain_percent": "800/308181", + "strictification": { + "alpha": { + "lower": "0.999999995428295380197203339867", + "upper": "0.999999995428295380197203339868" + }, + "cutoff": 17, + "delta": { + "lower": "0.954848282016379823028564479175", + "upper": "0.954848282016379823028564479176" + }, + "floor": 18, + "gamma": { + "lower": "0.967392647519607666245315102667", + "upper": "0.967392647519607666245315102668" + }, + "normalized_paid_upper": "5242880004882813/5242880536870912", + "power": 1024, + "reserve": "1/10000000000", + "tail_offset": "1/5", + "tested": "6163781/2000000000" + }, + "targets": { + "145": 208, + "17": 416, + "25": 416, + "33": 416, + "4": 1494, + "41": 416, + "49": 416, + "5": 90, + "57": 416, + "65": 416, + "73": 208, + "8": 270, + "9": 7632 + }, + "whole_idle_jobs": 3120 + }, + "status": "PASS_P104_EVENT_CONTACT_KAPPA_00308189", + "transpose": { + "arithmetic": "Dense integer rows with binary denominators; reverse chronology", + "coefficients": 552049, + "columns": 743 + } +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-SOURCES.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-SOURCES.json new file mode 100644 index 0000000000..cc8d088329 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-SOURCES.json @@ -0,0 +1,59 @@ +{ + "schema_version": 1, + "base_commit": "5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446", + "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72" + } + ], + "retained_source": { + "path": "research/p104-event-contact-step/inputs/pr5545-source-closure.tar.gz", + "sha256": "59768da554e11b11fae52d07f520f50684cc7a9ee0bec2873edbcd6b63814837", + "export_manifest_sha256": "0a20358f9c089be1f5606c78077314e30a72998fb3c5123848d921a8d1814e76", + "commit": "18968423711fd902aaee1099979497d55603e1dc", + "files": 33, + "source_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5545", + "note": "Byte-identical copy of the capsule retained by PR5551/PR5561; used UNMODIFIED (the hand-off word keeps 735 public inputs)." + }, + "external_inputs": [ + { + "local_path": "inputs/pr5569-WORD.json.gz", + "source_repository": "GamingPuzzled/integer-mult-bounds", + "source_commit": "af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf", + "source_path": "research/p104-priced-handoff/WORD.json.gz", + "sha256": "12224e9a13a49c830b304338a8d31610fb43da15d1a650537733c27f7864310f", + "git_blob": "3f4eb4be87a2f7a96391c39d960eedeb7bef5d1c" + }, + { + "local_path": "inputs/pr5569-pricing.py", + "source_repository": "GamingPuzzled/integer-mult-bounds", + "source_commit": "af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf", + "source_path": "research/p104-priced-handoff/pricing.py", + "sha256": "a4df92b46234bb56a966df30d9c1d43251e1346e9a1ad06cf5ee30a79c7ae591", + "git_blob": "bb135338f1c57c48147cb214d14f542cdfe4e533" + }, + { + "local_path": "common.py", + "source_repository": "GamingPuzzled/integer-mult-bounds", + "source_commit": "af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf", + "source_path": "research/p104-priced-handoff/common.py", + "sha256": "e7c1bd9bfc0060d2d55da5c6e61cd3fae756e0fc8facacc2a074061d2f73c800", + "git_blob": "bd244313fc023a737055415f87003f2963c290f6" + } + ], + "retained_source_scope": "The unchanged PR5545 official source export is an executable dependency. All 33 payloads, the inventory and archive hash are checked before import. This source is not new work.", + "discovery_source": { + "pr": 5568, + "commit": "47a347ff70044615e7be6581d275d12f5df38295", + "scope": "The event-level lattice and invoice model informed discovery. The submitted construction is one explicit contact edit and replay needs no solver." + } +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-construct.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-construct.py new file mode 100644 index 0000000000..8ce13980a4 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-construct.py @@ -0,0 +1,50 @@ +"""Change one contact on the PR5569 P104 word. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The source word is by GamingPuzzled, DreamingOfClouds, thu-nmrc, +Ali Romman and the retained P104 contributors. See README.md. +""" +from copy import deepcopy + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def construct(source): + word = deepcopy(source) + old = source['program'] + expected = { + 9575: ['ADD', 228, 225, '1', 262], + 12591: ['ADD', 160, 451, '1/2', 3], + 12657: ['MOVE', 451, 3, 262, False], + 12658: ['ADD', 451, 228, '1', 262], + 12673: ['MOVE', 228, 262, 520, False], + 12674: ['ADD', 497, 228, '1', 520], + 14422: ['MOVE', 451, 262, 737, False], + 14424: ['ADD', 451, 732, '-4', 737], + } + need(len(old) == 25140, 'Exact source event count') + need(all(old[i] == e for i, e in expected.items()), 'Exact source contacts') + for r, start, stop, visits in ( + (228, 9576, 12674, [12658, 12673]), + (451, 12592, 14424, [12657, 12658, 14422])): + actual = [] + for i in range(start, stop): + e = old[i] + used = e[1:3] if e[0] in ('ADD', 'COPY') else e[1:2] + if r in used: + actual.append(i) + need(actual == visits, 'No other contact in the changed interval') + replacement = { + 12657: [['MOVE', 228, 262, 737, False], + ['MOVE', 451, 3, 737, False]], + 12658: [['ADD', 451, 228, '1', 737]], + 12673: [['MOVE', 228, 737, 520, False]], + 14422: [], + } + word['program'] = [e for i, old_event in enumerate(old) + for e in replacement.get(i, [deepcopy(old_event)])] + need(len(word['program']) == len(old), 'Same event count') + return word diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-verify.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-verify.py new file mode 100644 index 0000000000..0691af0410 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5580-verify.py @@ -0,0 +1,174 @@ +"""Check the changed contact, complete caller and conditional kappa. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +Retained sources and their contributors are listed in SOURCES.json. +""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import json +import sys + +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) +from common import closure, load, need, read +from construct import construct + + +def inventory(base, word): + for key in base: + if key != 'program': + need(word[key] == base[key], 'Unchanged word field: ' + key) + def scalar(program): + return [e[:-1] for e in program if e[0] != 'MOVE'] + need(scalar(word['program']) == scalar(base['program']), + 'Same ordered scalar and owned operations') + old = [e for e in base['program'] if e[0] != 'MOVE'] + new = [e for e in word['program'] if e[0] != 'MOVE'] + changes = [(a, b) for a, b in zip(old, new) if a != b] + need(changes == [(['ADD', 451, 228, '1', 262], + ['ADD', 451, 228, '1', 737])], 'One changed scalar chart') + def bill(w): + return Counter(abs(len(w['frames'][e[2]]) - len(w['frames'][e[3]])) + for e in w['program'] if e[0] == 'MOVE') + before, after = bill(base), bill(word) + delta = {r: after[r] - before[r] for r in before.keys() | after.keys() + if after[r] != before[r]} + need(delta == {2: 1, 3: -2, 4: 1}, 'Exact changed paid profile') + return {'source_events': len(base['program']), 'events': len(word['program']), + 'ordered_scalar_events': len(old), 'changed_contacts': changes, + 'local_paid_delta': delta, 'global_paid_delta': {r: 18*n for r, n in delta.items()}, + 'all_public_endpoints_fixed': True, 'all_productive_targets_fixed': True, + 'owned_lifetimes_fixed': True} + + +def controls(L, base, word): + variants = {} + bad = deepcopy(word) + bad['program'].remove(['MOVE', 228, 262, 737, False]) + variants['missing_source_transport'] = bad + bad = deepcopy(word) + event = next(e for e in bad['program'] if e == ['ADD', 451, 228, '1', 737]) + event[-1] = 262 + variants['old_contact_frame'] = bad + bad = deepcopy(word) + event = next(e for e in bad['program'] if e == ['ADD', 451, 228, '1', 737]) + event[-2] = '2' + variants['wrong_scalar_coefficient'] = bad + bad = deepcopy(word) + event = next(e for e in bad['program'] if e == ['MOVE', 228, 737, 520, False]) + event[3] = 262 + variants['non_nested_return'] = bad + rejected = {} + for name, bad in variants.items(): + try: + L.replay(bad) + except ValueError as error: + rejected[name] = str(error) + else: + raise ValueError('Accepted invalid word: ' + name) + try: + inventory(base, base) + except ValueError as error: + rejected['unchanged_word'] = str(error) + else: + raise ValueError('Accepted unchanged word as a profile improvement') + print('PASS contact controls', rejected, flush=True) + return rejected + + +def ceiling(E, targets, paid): + """Bound the moment derivative on the retained BIT band.""" + cap = Q('0.0034') + lower = upper = Q(0) + for rank in targets.keys() | paid.keys(): + coefficient = paid.get(rank, 0) - targets.get(rank, 0) + power = (E.power(rank, 1-cap)[0], Q(rank)) + term = E.scale(E.mul(power, E.log_bounds(rank)), coefficient) + lower += term[0] + upper += term[1] + need(upper < 0, 'Strictly decreasing complete moment on the retained BIT band') + return {'kappa_interval': [Q(0), cap], 'moment_derivative': [lower, upper], + 'scope': 'This fixed paid and target invoice; the inherited BIT cap is retained.'} + + +def main(): + sources = read(HERE/'SOURCES.json') + for pin in sources['external_inputs']: + raw = (HERE/pin['local_path']).read_bytes() + need(sha256(raw).hexdigest() == pin['sha256'], 'Source bytes: ' + pin['local_path']) + header = ('blob ' + str(len(raw)) + '\0').encode() + from hashlib import sha1 + need(sha1(header + raw).hexdigest() == pin['git_blob'], 'Source Git object: ' + pin['local_path']) + base = read(HERE/'inputs/pr5569-WORD.json.gz') + word = read(HERE/'WORD.json.gz') + need(construct(base) == word, 'Regenerated complete word payload') + inv = inventory(base, word) + source_price = (HERE/'inputs/pr5569-pricing.py').read_text() + for before, after in ( + ("KAPPA, TESTED = Q('.00308181'), Q('.0030818105')", + "KAPPA, TESTED = Q('.00308189'), Q('.0030818905')"), + ("PREVIOUS = Q('.00304117')", "PREVIOUS = Q('.00308181')"), + ("'kappa_decimal':'.00308181'", "'kappa_decimal':'.00308189'"), + ("'previous_open_pr5545':PREVIOUS", "'previous_open_pr5569':PREVIOUS"), + ("'tensor_native_growth_bound':'Each rank-r Gaussian has row l1 norm at most 2^(rf); sum of local ranks is 5894.'", + "'tensor_native_growth_bound':f'Each rank-r Gaussian has row l1 norm at most 2^(rf); sum of local ranks is {sum(r*n for r,n in local[\"paid\"].items())}.'")): + need(source_price.count(before) == 1, 'Unique pricing declaration: ' + before) + source_price = source_price.replace(before, after) + need(source_price == (HERE/'pricing.py').read_text(), 'Only declared pricing constants change') + print('PASS source pins, exact reconstruction and changed invoice', flush=True) + with closure() as root: + L = load(root/'research/p104-productive-controller/local.py', 'local') + L.ROOT = root + parent_local = L.replay(base) + local = L.replay(word) + need(parent_local['helpers'] == local['helpers'], 'Same helper census') + need(parent_local['real_scalar_allowance'] == local['real_scalar_allowance'], 'Same scalar allowance') + rejected = controls(L, base, word) + print('PASS both exact arbitrary-input endpoints', flush=True) + reverse = L.reverse_columns(word) + print('PASS exact transpose', flush=True) + native = L.native(word) + print('PASS exact signed native maps', native['distinct_maps'], flush=True) + C = load(root/'research/p104-productive-controller/caller.py', 'event_contact_caller') + caller = C.construct() + need(caller == read(root/'research/p104-productive-controller/CONTROLLER.json'), 'Exact physical caller') + physical = C.physical(caller, word) + print('PASS full physical caller', flush=True) + P = load(HERE/'pricing.py', 'event_contact_pricing') + result = P.run(local, native, caller, physical) + print('PASS complete pricing', result['raw_root_interval'], flush=True) + E = L.load(root/'research/higher-moment-strictification/verify.py', 'contact_margin') + targets = {int(r): n for r, n in result['targets'].items()} + paid = {int(r): n for r, n in result['paid'].items()} + parent_paid = dict(paid) + for r, n in inv['global_paid_delta'].items(): + parent_paid[r] -= n + parent_interval = [Q('0.00308181851522'), Q('0.00308181851523')] + parent_signs = [] + for k in parent_interval: + t, p = E.moment(targets, 1-k), E.moment(parent_paid, 1-k) + parent_signs.append((t[0]-p[1], t[1]-p[0])) + need(parent_signs[0][0] > 0 > parent_signs[1][1], 'Exact predecessor crossing') + lo, hi = map(Q, result['raw_root_interval']) + gain = [lo-parent_interval[1], hi-parent_interval[0]] + need(gain[0] > 0, 'Strict gain over predecessor raw ceiling') + fixed_ceiling = ceiling(E, targets, paid) + receipt = P.encode({'status': 'PASS_P104_EVENT_CONTACT_KAPPA_00308189', + 'inventory': inv, 'local': local, 'transpose': reverse, + 'native': native, 'physical': physical, 'controls': rejected, + 'parent_raw_interval': parent_interval, 'raw_gain_interval': gain, + 'fixed_invoice_ceiling': fixed_ceiling, + 'result': result}) + if '--write' in sys.argv: + (HERE/'RESULT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True)+'\n') + else: + need(receipt == read(HERE/'RESULT.json'), 'Exact complete committed receipt') + print('PASS_P104_EVENT_CONTACT_KAPPA_00308189', flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-INPUTS.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-INPUTS.json new file mode 100644 index 0000000000..4fbacdc2d7 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-INPUTS.json @@ -0,0 +1,32 @@ +{ + "files": [ + { + "path": "inputs/successor-word.json.gz", + "upstream_commit": "af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf", + "upstream_path": "research/p104-priced-handoff/WORD.json.gz", + "sha256": "12224e9a13a49c830b304338a8d31610fb43da15d1a650537733c27f7864310f", + "git_blob": "3f4eb4be87a2f7a96391c39d960eedeb7bef5d1c" + }, + { + "path": "inputs/predecessor-full-check.json", + "upstream_commit": "dba3cf67c800f32f04c80437138a51310dc08c1b", + "upstream_path": "research/p104-joint-contact-native-caller-audit/FULL-CHECK.json", + "sha256": "d33e47ca4cb9afb95a4f6e95a42f2173d2bb20037d0e998da3cba3d332a34efa", + "git_blob": "a5d3165a265ce07fce6051178b8063c7d75f7fb4" + }, + { + "path": "inputs/predecessor-audit.py", + "upstream_commit": "dba3cf67c800f32f04c80437138a51310dc08c1b", + "upstream_path": "research/p104-joint-contact-native-caller-audit/verify.py", + "sha256": "27d4d083dae9c242dbd297f2ceae571b02062e6d8886e033cbc7a4d5ce5ff897", + "git_blob": "bdd861044a1ab0f992c515a5160c169463a7c457" + }, + { + "path": "inputs/predecessor-sources.json", + "upstream_commit": "dba3cf67c800f32f04c80437138a51310dc08c1b", + "upstream_path": "research/p104-joint-contact-native-caller-audit/SOURCES.json", + "sha256": "143a5f3ab3dd062fca9993df1a056222be91f66e5d18b8cee645fbb82aaaa0ed", + "git_blob": "0952c19a654e82d19dcd7addea269afe551d3661" + } + ] +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-PR5585-BINDINGS.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-PR5585-BINDINGS.json new file mode 100644 index 0000000000..97802b889f --- /dev/null +++ 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"research/p104-successor-native-binding/INPUTS.json", + "git_blob": "4fbacdc2d7ce5f25aef8ef17120b30921e291c8f", + "sha256": "5c6250c2f0c29aef2d94697d15a88806bfe76232a01169a55c3c1c04ce162920" + }, + { + "path": "research/p104-successor-native-binding/README.md", + "git_blob": "0f3bee3451c34ed41c4c83b47033eb2dc3d39dca", + "sha256": "9b01599b7ec8d49a90a16e95a0c65fd4f616ef242fbcc93f28a83243bb0d412a" + }, + { + "path": "research/p104-successor-native-binding/RESULT.json", + "git_blob": "96091372044d2e64891b8e78dd1527a3bed574e8", + "sha256": "2c4f449968c00c563d31fe9aec4aec553764083ef2420e0818aabdb9fc7e0037" + }, + { + "path": "research/p104-successor-native-binding/SOURCES.json", + "git_blob": "4140952b5416056913008c712f58cbeecd13f11e", + "sha256": "27ab668a7d25c71ab9ab1b328383ddbe071449a3dd60a084491ee8cd050c53b6" + }, + { + "path": "research/p104-successor-native-binding/TASK.json", + "git_blob": "92e3085039e1435257dbf6f415557e428c0e7f0a", + "sha256": "27534542d5aa65867effa2381bffe5c12149193b38d789b0ef9eb12205248960" + }, + { + "path": "research/p104-successor-native-binding/VERIFY.json", + "git_blob": "dbe4e943e7ea45f85ec1484eec4a73082ff942a7", + "sha256": "8d6adbc3c0cf76a4762c3d343d2fab9bea51738cba964e215fcea95f702be27f" + }, + { + "path": "research/p104-successor-native-binding/verify.py", + "git_blob": "c43aa50c8451ffbac0bfbc9e00a10d52f98d3554", + "sha256": "72073f22bbbe55d9d8e34d4094920c3ff8cb96aaaa97e434cd582b430da2580b" + } + ], + "bindings": { + "file": "PR5585-BINDINGS.json", + "git_blob": "97802b889f69fbdf7eaa65bf2128901b4a983d03", + "raw_sha256": "2468767fca317a2ab7340d6c494ff6d5b93c5f705ceab4594857d1441f56e9b3", + "canonical_JSON_sha256": "eb528b5a8d796cdeea7ff1bc5639fc0d8c891d5e8118eb7911090c3a7ad54f05", + "canonicalization": "json.dumps(sort_keys=True,separators=(comma,colon)).encode, no newline; verify.py canonical()", + "bytes": 1307902 + }, + "scientific_execution": false +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-RESULT.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-RESULT.json new file mode 100644 index 0000000000..9609137204 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-RESULT.json @@ -0,0 +1,62 @@ +{ + "bindings_sha256": "eb528b5a8d796cdeea7ff1bc5639fc0d8c891d5e8118eb7911090c3a7ad54f05", + "controls": { + "child_sign": { + "first_rejected_column": 0 + }, + "duplicate_task": "rejected", + "extra_task": "rejected", + "frame_bytes": "invalidates reuse", + "global_phase": { + "first_rejected_column": 0, + "tableau_unchanged": true + }, + "literal_phase": "invalidates reuse", + "missing_task": "rejected", + "owned_return_flag": "rejected", + "recipe_phase": "invalidates reuse", + "renumbered_identical_frame": "same descriptor", + "same_label_changed_frame": "invalidates reuse", + "support_rank": "rejected", + "uncovered_operator": "not reused", + "wrong_rank": "rejected" + }, + "fresh_complex_entries_compared": 130809856, + "fresh_occurrences": 611, + "fresh_operators": 499, + "fresh_ranks": { + "1": 139, + "2": 123, + "3": 194, + "4": 16, + "5": 19, + "6": 2, + "7": 1, + "8": 5 + }, + "occurrence_kinds": { + "helper": 527, + "main_in": 104, + "main_out": 104, + "move": 3454 + }, + "positive_control_operators": [ + "2a859c897a63a31c42376ce316840e54db8e0c59f93bab2ee41b2830a6f1f365", + "a218b5f50c004907a599b3b5c363247926285620f92308cb6bc1ce9bf28d018e", + "a886f4ce70a5b8ef9486760ecfdc85017e7fc6612c1be75477a7930b9e558ded", + "f3600734d8509851fcb660feb4bb878837fa325345f87a915817b31412f454e5" + ], + "prior_operators": 3187, + "prior_tasks": 3188, + "reused_occurrences": 3578, + "reused_operators": 2631, + "scope": "Finite nine-axis native operators only; inherited full-run evidence is explicit. No all-width or complete supplier admission.", + "source_authentication": { + "live": 4, + "retained": 4 + }, + "status": "PASS_P104_SUCCESSOR_NATIVE_BINDING", + "successor_occurrences": 4189, + "successor_operators": 3130, + "successor_tasks": 3131 +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-SOURCES.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-SOURCES.json new file mode 100644 index 0000000000..4140952b54 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-SOURCES.json @@ -0,0 +1,42 @@ +{ + "schema_version": 1, + "base_commit": "5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446", + "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72" + }, + { + "path": "research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py", + "usage": "input", + "git_blob": "e7e663bebaf13f44c95fb8eb118b472cf377e137", + "sha256": "43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d" + }, + { + "path": "research/p104-joint-contact/WORD.json.gz", + "usage": "input", + "git_blob": "c04a815c2662bcd0c48ce9c3067a0fe4a041573a", + "sha256": "48f8734ca9c5adf5d60ded3a5fefbc24894d2c358ed7cb30fcc0d71718599446" + }, + { + "path": "research/p104-native-channel/vendor/clifford_exact.py", + "usage": "input", + "git_blob": "166841a037f069249f6f7f6dedb89248812f59e2", + "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962" + }, + { + "path": "research/p104-native-channel/vendor/native_verify.py", + "usage": "input", + "git_blob": "2c209dfa9cfade3bc20ac5fc9d876b433a147f8c", + "sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38" + } + ] +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-verify.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-verify.py new file mode 100644 index 0000000000..c43aa50c84 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5585-verify.py @@ -0,0 +1,380 @@ +#!/usr/bin/env python3 +"""Bind exact native evidence to PR5569. Scratch-net, with OpenAI Codex. + +Apache-2.0. Clifford lowering and literal gates retain their source authors. +Dense execution is Chris R / Clear1nsight's PR5548 interpreter. +The reused full-run evidence is Matarener's PR5572 receipt for PR5551. +""" +import argparse +from collections import Counter +from copy import deepcopy +import gzip +import hashlib +import json +from multiprocessing import Pool +from pathlib import Path +import sys +import types + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +OLD = ROOT / 'research/p104-joint-contact/WORD.json.gz' +NEW = HERE / 'inputs/successor-word.json.gz' +COMPILER = ROOT / 'research/p104-native-channel/vendor/clifford_exact.py' +LITERAL = ROOT / 'research/p104-native-channel/vendor/native_verify.py' +DENSE = ROOT / 'research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py' +MODULES = {} +DESCRIPTORS = {} +FRAMES = {} + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def canonical(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode() + + +def digest(raw): + return hashlib.sha256(raw).hexdigest() + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + + +def authenticate(): + pins = read(HERE / 'SOURCES.json') + for row in pins['files']: + if row['usage'] == 'input': + need(digest((ROOT / row['path']).read_bytes()) == row['sha256'], 'live source: ' + row['path']) + retained = read(HERE / 'INPUTS.json')['files'] + for row in retained: + raw = (HERE / row['path']).read_bytes() + need(digest(raw) == row['sha256'], 'retained source: ' + row['path']) + blob = hashlib.sha1(b'blob ' + str(len(raw)).encode() + b'\0' + raw).hexdigest() + need(blob == row['git_blob'], 'retained Git blob: ' + row['path']) + prior = read(HERE / 'inputs/predecessor-sources.json') + for path in (OLD, COMPILER, LITERAL, DENSE): + rel = path.relative_to(ROOT).as_posix() + rows = [row for row in prior['files'] if row['path'] == rel] + need(len(rows) == 1 and rows[0]['sha256'] == digest(path.read_bytes()), 'prior engine/word pin: ' + rel) + return {'live': len([r for r in pins['files'] if r['usage'] == 'input']), 'retained': len(retained)} + + +def load(name, path): + # Compile authenticated source directly, without consulting .pyc files. + module = types.ModuleType(name) + module.__file__ = str(path) + sys.modules[name] = module + exec(compile(path.read_bytes(), str(path), 'exec'), module.__dict__) + return module + + +def initialize(): + authenticate() + MODULES['C'] = load('binding_clifford', COMPILER) + MODULES['V'] = load('binding_literal', LITERAL) + MODULES['D'] = load('binding_dense', DENSE) + DESCRIPTORS.clear() + FRAMES.clear() + + +def native_frame(basis): + key = tuple(basis) + if key not in FRAMES: + FRAMES[key] = MODULES['C'].canonical_frame(9, key) + return FRAMES[key] + + +def span(basis): + values = {0} + for value in basis: + need(type(value) is int and 0 < value < 512 and value not in values, 'independent nine-bit frame') + values |= {x ^ value for x in values} + return values + + +def occurrences(word): + """Bind every literal event and endpoint, including owned returns.""" + frames = word['frames'] + spans = [span(f) for f in frames] + public = word['public'] + need(public == 735 and len(word['initial']) == len(word['final']) == public, 'P104 public domain') + live, ports = word['live'], word['ports'] + need(len(live) == len(ports) == 104 and len(set(live)) == 104, 'P104 live ports') + need(all(type(r) is int and 0 <= r < 112 for r in live), 'live input domain') + need(all(type(q) is int and 0 < q < 512 for q in ports), 'native port domain') + main = set(live) | {r + 112 for r in live} + current = dict(enumerate(word['initial'])) + owned, result = set(), [] + for i, event in enumerate(word['program']): + op, reg = event[:2] + if op == 'MOVE': + _, _, left, right, private = event + need(type(private) is bool and private == (reg in owned), 'MOVE ownership') + need(current.get(reg) == left, 'MOVE source frame') + need(spans[right] < spans[left] if private else spans[left] < spans[right], 'strict MOVE nesting') + result.append({'site': ['event', i, reg, private], 'task': ['move', left, right, 0]}) + current[reg] = right + elif op == 'INIT': + need(public <= reg < public + 8 and reg not in current, 'owned INIT') + owned.add(reg) + current[reg] = event[2] + elif op == 'CLEAR': + need(reg in owned and current[reg] == event[2], 'owned CLEAR frame') + owned.remove(reg) + del current[reg] + elif op in ('ADD', 'COPY', 'SCALE'): + need(current.get(reg) == event[-1], 'scalar destination chart') + if op != 'SCALE': + need(current.get(event[2]) == event[-1], 'scalar source chart') + if op == 'COPY': + need(reg in owned, 'COPY ownership') + else: + raise ValueError('unknown opcode') + need(not owned and current == dict(enumerate(word['final'])), 'complete final frame inventory') + for reg in range(public): + if reg not in main: + a, b = word['initial'][reg], word['final'][reg] + need(spans[a] <= spans[b], 'nested helper endpoints') + result.append({'site': ['helper', reg], 'task': ['helper', a, b, 0]}) + for reg, port in zip(live, ports): + result.append({'site': ['main_in', reg], 'task': ['main_in', word['initial'][reg], 0, port]}) + for reg, port in zip(live, ports): + result.append({'site': ['main_out', reg + 112], 'task': ['main_out', word['final'][reg + 112], 0, port]}) + need(len({tuple(r['site']) for r in result}) == len(result), 'unique occurrence sites') + return result + + +def descriptor(word, task): + C, V = MODULES['C'], MODULES['V'] + kind, a, b, port = task + left = word['frames'][a] + cache_key = (kind if kind not in ('move', 'helper') else 'frame_pair', tuple(left), + tuple(word['frames'][b]) if kind in ('move', 'helper') else port) + if cache_key in DESCRIPTORS: + return DESCRIPTORS[cache_key] + if kind in ('move', 'helper'): + right = word['frames'][b] + op = native_frame(left).adjoint().then(native_frame(right)) + expected = V.adjoint(V.frame(left, 9)) + V.frame(right, 9) + boundary = ['frame_pair', left, right] + rank = abs(len(left) - len(right)) + elif kind == 'main_in': + op = C.cgate(9, port, 1).adjoint().then(native_frame(left)) + expected = V.adjoint((('C', port, 1),)) + V.frame(left, 9) + boundary, rank = ['main_in', left, port], 0 + else: + need(kind == 'main_out', 'known task kind') + op = native_frame(left).adjoint().then(C.cgate(9, port, -1).then(C.fourier(9))) + expected = V.adjoint(V.frame(left, 9)) + (('C', port, -1),) + V.fourier(9) + boundary, rank = ['main_out', left, port], 0 + recipe, _ = C.lower_child(op) + need(recipe['rank'] == rank, 'native rank equals boundary dimension gap') + spec = {'dimension': 9, 'boundary': boundary, 'rank': rank, 'recipe': recipe, + 'actual': V.recipe(recipe), 'expected': expected} + DESCRIPTORS[cache_key] = spec + return spec + + +def inventory(word): + sites = occurrences(word) + by_task, operators = {}, {} + for task in sorted({tuple(row['task']) for row in sites}): + spec = descriptor(word, task) + key = digest(canonical(spec)) + if key in operators: + need(canonical(operators[key]) == canonical(spec), 'operator key collision') + operators[key] = spec + by_task[task] = key + for row in sites: + row['operator'] = by_task[tuple(row['task'])] + return sites, by_task, operators + + +def bind_reference(receipt, by_task, operators): + need(receipt['schema'] == 'p104-5551-dense-inventory/1', 'prior receipt schema') + records = {} + for task, rank, matrix in receipt['maps']: + task = tuple(task) + need(task not in records, 'duplicate prior task') + need(task in by_task, 'unexpected prior task') + need(type(rank) is int and rank == operators[by_task[task]]['rank'], 'prior task rank') + need(isinstance(matrix, str) and len(matrix) == 64 and all(c in '0123456789abcdef' for c in matrix), 'prior matrix digest format') + records[task] = matrix + need(set(records) == set(by_task), 'complete prior task coverage') + result = {} + for task, matrix in records.items(): + key = by_task[task] + if key in result: + need(result[key]['matrix_sha256'] == matrix, 'same operator has consistent prior evidence') + else: + result[key] = {'matrix_sha256': matrix, 'prior_tasks': []} + result[key]['prior_tasks'].append(list(task)) + for row in result.values(): + row['prior_tasks'].sort() + return result + + +def compare(job): + key, spec = job + D = MODULES['D'] + actual, expected = D.compile_circuit(spec['actual']), D.compile_circuit(spec['expected']) + matrix = hashlib.sha256() + for column in range(512): + left, right = D.dense_column(actual, column), D.dense_column(expected, column) + need(left == right, 'exact matrix column ' + str(column)) + re, im, den = left + need(sum(v*v for v in re) + sum(v*v for v in im) == 1 << (2*den), 'exact column norm') + need(sum(bool(a or b) for a, b in zip(re, im)) == 1 << spec['rank'], 'exact column support rank') + matrix.update(json.dumps([column, den, re, im], separators=(',', ':')).encode()) + return key, matrix.hexdigest() + + +def reject(function, message): + try: + function() + except ValueError as error: + need(message in str(error), 'unexpected control failure: ' + str(error)) + return 'rejected' + raise ValueError('control accepted: ' + message) + + +def controls(receipt, old_tasks, old_ops, new_ops, reused, fresh, word, tasks): + out = {} + for label, edit, reason in [ + ('missing_task', lambda r: r['maps'].pop(), 'complete prior task coverage'), + ('duplicate_task', lambda r: r['maps'].append(r['maps'][0]), 'duplicate prior task'), + ('wrong_rank', lambda r: r['maps'][0].__setitem__(1, 99), 'prior task rank'), + ('extra_task', lambda r: r['maps'].append([['move', -1, -1, 0], 0, '0'*64]), 'unexpected prior task'), + ]: + bad = deepcopy(receipt) + edit(bad) + out[label] = reject(lambda: bind_reference(bad, old_tasks, old_ops), reason) + key = sorted(fresh)[0] + spec = deepcopy(new_ops[key]) + need(key not in reused, 'fresh map cannot inherit evidence') + out['uncovered_operator'] = 'not reused' + task = next(t for t in tasks if tasks[t] in reused and t[0] == 'move' and 2 <= len(word['frames'][t[1]]) < 9) + changed = dict(word, frames=list(word['frames'])) + changed['frames'][task[1]] = list(reversed(word['frames'][task[1]])) + need(canonical(descriptor(changed, task)) != canonical(descriptor(word, task)), 'same-label changed-frame invalidation') + out['same_label_changed_frame'] = 'invalidates reuse' + renamed = dict(word, frames=word['frames'] + [word['frames'][task[1]]]) + renamed_task = (task[0], len(word['frames']), task[2], task[3]) + need(canonical(descriptor(renamed, renamed_task)) == canonical(descriptor(word, task)), 'frame renumbering preserves exact descriptor') + out['renumbered_identical_frame'] = 'same descriptor' + bad_word = deepcopy(word) + event = next(e for e in bad_word['program'] if e[0] == 'MOVE' and e[4]) + event[4] = False + out['owned_return_flag'] = reject(lambda: occurrences(bad_word), 'MOVE ownership') + for field, edit in [ + ('frame_bytes', lambda s: s['boundary'].__setitem__(1, list(reversed(s['boundary'][1])))), + ('recipe_phase', lambda s: s['recipe']['left'].__setitem__('phase', (s['recipe']['left']['phase'] + 1) % 4)), + ('literal_phase', lambda s: s.__setitem__('expected', tuple(s['expected']) + (('phase', 1),))), + ]: + candidate = next(v for v in new_ops.values() if v['boundary'][0] == 'frame_pair' and len(v['boundary'][1]) >= 2) + bad = deepcopy(candidate) + edit(bad) + need(digest(canonical(bad)) != digest(canonical(candidate)), 'descriptor mutation invalidates ' + field) + out[field] = 'invalidates reuse' + V, D = MODULES['V'], MODULES['D'] + actual, expected = tuple(spec['actual']), tuple(spec['expected']) + phase = actual + (('phase', 1),) + need(V.tableau(phase) == V.tableau(actual), 'phase-only control preserves tableau') + out['global_phase'] = {'first_rejected_column': D.first_difference(phase, expected), 'tableau_unchanged': True} + flipped = list(actual) + i = next(i for i, gate in enumerate(flipped) if gate[0] == 'C') + flipped[i] = ('C', flipped[i][1], -flipped[i][2]) + out['child_sign'] = {'first_rejected_column': D.first_difference(tuple(flipped), expected)} + bad = deepcopy(spec) + bad['rank'] += 1 + out['support_rank'] = reject(lambda: compare(('bad', bad)), 'exact column support rank') + return out + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--write', action='store_true') + parser.add_argument('--inventory-only', action='store_true') + parser.add_argument('--jobs', type=int, choices=(1, 2), default=2) + args = parser.parse_args() + pins = authenticate() + initialize() + old, new = read(OLD), read(NEW) + _, old_tasks, old_ops = inventory(old) + sites, tasks, operators = inventory(new) + receipt = read(HERE / 'inputs/predecessor-full-check.json') + reference = bind_reference(receipt, old_tasks, old_ops) + reused = set(operators) & set(reference) + fresh = set(operators) - set(reference) + need(fresh and reused, 'both changed and retained operators exist') + # A hash is an index, not the equality test for evidence reuse. + for key in reused: + need(canonical(operators[key]) == canonical(old_ops[key]), 'exact reused descriptor bytes') + summary = { + 'status': 'INVENTORY_ONLY', + 'scope': 'Finite nine-axis native operators only; inherited full-run evidence is explicit. No all-width or complete supplier admission.', + 'source_authentication': pins, + 'prior_tasks': len(old_tasks), 'prior_operators': len(old_ops), + 'successor_tasks': len(tasks), 'successor_operators': len(operators), + 'successor_occurrences': len(sites), + 'occurrence_kinds': dict(sorted(Counter(r['task'][0] for r in sites).items())), + 'reused_operators': len(reused), 'fresh_operators': len(fresh), + 'reused_occurrences': sum(r['operator'] in reused for r in sites), + 'fresh_occurrences': sum(r['operator'] in fresh for r in sites), + 'fresh_ranks': dict(sorted(Counter(str(operators[k]['rank']) for k in fresh).items())), + } + print(json.dumps(summary, sort_keys=True), flush=True) + if args.inventory_only: + return + summary['controls'] = controls(receipt, old_tasks, old_ops, operators, reused, fresh, new, tasks) + samples = set() + for kind in sorted({t[0] for t in tasks}): + samples.add(next(tasks[t] for t in sorted(tasks) if t[0] == kind and tasks[t] in reused)) + jobs = [(key, operators[key]) for key in sorted(fresh | samples)] + results = {} + if args.jobs == 1: + results.update(map(compare, jobs)) + else: + with Pool(args.jobs, initializer=initialize) as pool: + for count, (key, matrix) in enumerate(pool.imap_unordered(compare, jobs, chunksize=2), 1): + results[key] = matrix + if count % 50 == 0: + print('Exact operators completed:', count, '/', len(jobs), flush=True) + for key in samples: + need(results[key] == reference[key]['matrix_sha256'], 'retained positive control matrix digest') + summary['positive_control_operators'] = sorted(samples) + summary['fresh_complex_entries_compared'] = len(fresh) * 512 * 512 + summary['status'] = 'PASS_P104_SUCCESSOR_NATIVE_BINDING' + records = [] + for key in sorted(operators): + records.append({'operator': key, 'rank': operators[key]['rank'], + 'evidence': 'reused_PR5572' if key in reused else 'fresh_all_512_columns', + 'matrix_sha256': reference[key]['matrix_sha256'] if key in reused else results[key], + 'prior_tasks': reference[key]['prior_tasks'] if key in reused else []}) + bindings = {'schema': 'p104-successor-native-binding/1', 'operators': records, 'occurrences': sites} + summary['bindings_sha256'] = digest(canonical(bindings)) + for name, value in {'RESULT.json': summary, 'BINDINGS.json': bindings}.items(): + path = HERE / name + if args.write: + if name == 'BINDINGS.json': + # One record per line keeps the large occurrence inventory reviewable. + text = '{"schema": "p104-successor-native-binding/1",\n"operators": [\n' + text += ',\n'.join(canonical(row).decode() for row in value['operators']) + text += '\n],\n"occurrences": [\n' + text += ',\n'.join(canonical(row).decode() for row in value['occurrences']) + path.write_text(text + '\n]}\n') + else: + path.write_text(json.dumps(value, sort_keys=True, indent=2) + '\n') + else: + need(canonical(read(path)) == canonical(value), 'reproduced ' + name) + print('PASS_P104_SUCCESSOR_NATIVE_BINDING', flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5545.json.gz b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5545.json.gz new file mode 100644 index 0000000000..1ce96b0130 Binary files /dev/null and b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5545.json.gz differ diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5551.json.gz b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5551.json.gz new file mode 100644 index 0000000000..c04a815c26 Binary files /dev/null and b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5551.json.gz differ diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5569.json.gz b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5569.json.gz new file mode 100644 index 0000000000..3f4eb4be87 Binary files /dev/null and b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5569.json.gz differ diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5580.json.gz b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5580.json.gz new file mode 100644 index 0000000000..9434855e7d Binary files /dev/null and b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/WORD5580.json.gz differ diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/compiler.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/compiler.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/compiler.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<>j)&1)==((q[j]>>i)&1) for i in range(9) for j in range(9)), + 'symmetric quadratic form') + need(all((linear[i]&1)==((q[i]>>i)&1) for i in range(9)), 'quadratic diagonal parity') + phases=[] + for x in range(N): + degree_one=sum(linear[i] for i in range(9) if x>>i&1) + cross=0 + for i in range(9): + if x>>i&1: + for j in range(i+1,9): + if x>>j&1 and q[i]>>j&1: + cross+=2 + phases.append((degree_one+cross)%4) + return tag,tuple(phases) + if tag=='C': + direction,sign=gate[1:] + need(type(direction) is int and 0>remove for v in real];imag=[v>>remove for v in imag] + denominator-=remove + return real,imag,denominator + + +def compare_all(actual, expected, label): + a,b=compile_circuit(actual),compile_circuit(expected) + digest=hashlib.sha256() + for column in range(N): + left=dense_column(a,column) + right=dense_column(b,column) + need(left==right,label+' exact complete matrix column '+str(column)) + re,im,d=left + need(sum(v*v for v in re)+sum(v*v for v in im)==1<<(2*d),label+' exact column norm') + digest.update(json.dumps([column,d,re,im],separators=(',',':')).encode()) + digest.update(b'\n') + return {'columns':N,'complex_entries':N*N,'matrix_sha256':digest.hexdigest()} + + +def first_difference(actual,expected): + a,b=compile_circuit(actual),compile_circuit(expected) + for column in range(N): + if dense_column(a,column)!=dense_column(b,column): + return column + raise ValueError('deliberate native fault was accepted') + + +def main(): + manifest=json.loads((B/'INPUTS.json').read_text()) + for name,expected in manifest['files'].items(): + authenticate((ROOT/name).read_bytes(),expected) + # Transitive source closure and previous normalized/invoice evidence stay + # frozen. Authentication is not a rerun of their scientific computation. + oldpins=json.loads((PRIOR/'INPUTS.json').read_text()) + for name,expected in oldpins['files'].items(): + authenticate((ROOT/name).read_bytes(),expected) + oldreceipt=json.loads((PRIOR/'PAIR-RECEIPT.json').read_text()) + authenticate((PRIOR/'RESULT-normal.json').read_bytes(),oldreceipt['result_sha256']) + oldresult=json.loads((PRIOR/'RESULT-normal.json').read_text()) + need(oldresult['reviewed_head']==manifest['reviewed_head'] and + oldresult['source_endpoint']==oldresult['changed_endpoint']=='pass', + 'exact preceding source-bound endpoint coverage') + sourcepins=json.loads((PRIOR/'sources/contact/SOURCES.json').read_text())['files'] + for name in ('clifford_exact.py','native_verify.py'): + pin=next(p for p in sourcepins if p['path']=='research/p104-native-channel/vendor/'+name) + raw=(B/'sources'/name).read_bytes() + authenticate(raw,pin['sha256']) + try:authenticate(raw+b'\n',pin['sha256']) + except ValueError:pass + else:raise ValueError('source corruption control accepted') + C=load(B/'sources/clifford_exact.py','p104_native_audit_compiler') + V=load(B/'sources/native_verify.py','p104_native_literal_definitions') + old=json.loads(gzip.decompress((PRIOR/'sources/predecessor/WORD.json.gz').read_bytes())) + new=json.loads(gzip.decompress((PRIOR/'sources/contact/WORD.json.gz').read_bytes())) + need({k:v for k,v in old.items() if k!='program'}=={k:v for k,v in new.items() if k!='program'}, + 'public contract, charts, endpoints and ports unchanged') + edits={16798:[['MOVE',341,240,127,False],['MOVE',345,739,127,False]], + 16799:[['ADD',341,345,'-1',127]],16800:[['SCALE',341,'-1',127]],17061:[],17067:[]} + need(new['program']==[e for i,old_event in enumerate(old['program']) for e in edits.get(i,[old_event])], + 'only the five source sites change') + need([e[:-1] for e in old['program'] if e[0]!='MOVE']== + [e[:-1] for e in new['program'] if e[0]!='MOVE'],'owned and scalar schedule unchanged') + before=Counter((e[2],e[3]) for e in old['program'] if e[0]=='MOVE') + after=Counter((e[2],e[3]) for e in new['program'] if e[0]=='MOVE') + delta=Counter(after);delta.subtract(before) + need({k:v for k,v in delta.items() if v}=={(739,240):-1,(240,127):-1,(739,127):1}, + 'actual changed map multiplicities') + controller=json.loads((PRIOR/'sources/predecessor/CONTROLLER.json').read_text()) + full=[e for e in controller['physical_events'] if e[0]=='LOCAL'] + need(len(full)==18 and all(e[3] is False for e in full),'all18 full invocations use this forward word') + frames=old['frames'] + records={} + circuits={} + controls={} + for name,a,b,rank in [('AB',739,240,1),('BD',240,127,5),('AD',739,127,6)]: + need(len(frames[b])-len(frames[a])==rank,'literal native rank') + op=C.canonical_frame(9,tuple(frames[a])).adjoint().then(C.canonical_frame(9,tuple(frames[b]))) + recipe,_=C.lower_child(op) + need(recipe['rank']==rank and recipe['right'] is not None,'declared native child rank') + actual=V.recipe(recipe) + expected=V.adjoint(V.frame(frames[a],9))+V.frame(frames[b],9) + checked=compare_all(actual,expected,name) + records[name]={'old_frame':a,'new_frame':b,'rank':rank,'recipe':recipe, + 'actual_gate_count':len(actual),'expected_gate_count':len(expected),**checked} + circuits[name]=actual + phased=actual+(('phase',1),) + need(V.tableau(phased)==V.tableau(actual),'global phase fault invisible to signed Pauli tableau') + controls[name+'_global_phase']={'first_rejected_column':first_difference(phased,expected), + 'signed_tableau_unchanged':True} + inverse=list(actual) + at=next(i for i,g in enumerate(inverse) if g[0]=='C') + inverse[at]=('C',inverse[at][1],-inverse[at][2]) + controls[name+'_inverse_child']={'first_rejected_column':first_difference(tuple(inverse),expected)} + wrong=deepcopy(recipe);wrong['left']['offset']^=1 + controls[name+'_wrong_boundary']={'first_rejected_column':first_difference(V.recipe(wrong),expected)} + try:need(recipe['rank']+1==len(frames[b])-len(frames[a]),'wrong declared recursive rank') + except ValueError:controls[name+'_wrong_rank']='rejected' + else:raise ValueError('wrong rank accepted') + composition=compare_all(circuits['AB']+circuits['BD'],circuits['AD'],'old two-leg versus direct') + targets={str(r):{'initial_frame':old['initial'][r],'final_frame':old['final'][r], + 'rank':len(frames[old['final'][r]])-len(frames[old['initial'][r]])} + for r in (341,345)} + result={'schema':'p104-native-contact-exact-matrices/v1','reviewed_head':manifest['reviewed_head'], + 'source_hashes':manifest['files'],'maps':records,'old_route_equals_new':composition, + 'controls':controls,'source_authentication_controls':2, + 'direct_dense_complex_entries':3*N*N,'composition_complex_entries':N*N, + 'caller_binding':{'full_calls':18,'all_forward':True,'public_fields':735,'owned_lifetimes':8, + 'target_owners':targets,'public_chart_and_scalar_abi_unchanged':True, + 'previous_normalized_and_invoice_receipt_reused':oldreceipt['result_sha256'], + 'all_parent_native_maps_checked':False,'265_axis_routes_replayed':False}, + 'positive_width_implication':'exact one-column chart equality tensors factorwise; common transport commutes with scalar ADD/SCALE; exterior coefficients are not tensor-powered; spectators stay identity', + 'interpretation':'dense integer real/imaginary vectors with a common power-of-two denominator; no vendor state/tableau used for matrix equality', + 'new_kappa':None,'full_parent_funding_admitted':False,'stop':True} + print(json.dumps(result,sort_keys=True,separators=(',',':'))) + + +if __name__=='__main__':main() diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/literal.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/literal.py new file mode 100644 index 0000000000..2c209dfa9c --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/literal.py @@ -0,0 +1,277 @@ +"""Check native operators with exact Gaussian dyadic arithmetic. + +The interpreter is adapted from the independent campaign native review. +It does not import the source-code producer or the Clifford compiler. +Research used OpenAI Codex under the user's direction. +""" + +from functools import lru_cache + + +def require(condition, label): + if not condition: + raise ValueError(label) + + +def parity(value): + return value.bit_count() % 2 + + +def mul(matrix, vector): + return sum(parity(row & vector) << i for i, row in enumerate(matrix)) + + +def transpose(matrix): + return tuple(sum(((row >> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + if gate[0] == 'P': + return tuple(mul(gate[1], x) for x in range(512)) + require(gate[0] == 'D', 'state action type') + quadratic, linear = gate[1:] + return tuple((sum(linear[i] for i in range(9) if x >> i & 1) + + 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(9) if x >> i & 1)) % 4 for x in range(512)) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value, denominator = {basis: (1, 0)}, 0 + for gate in circuit: + tag = gate[0] + result = {} + if tag == "C": + direction, sign = gate[1:] + for address, (a, b) in value.items(): + for target, pair in ((address, (a - sign*b, b + sign*a)), + (address ^ direction, (a + sign*b, b - sign*a))): + old = result.get(target, (0, 0)) + result[target] = (old[0] + pair[0], old[1] + pair[1]) + denominator += 1 + else: + for address, pair in value.items(): + if tag == "P": + target = mul(gate[1], address) + elif tag == "X": + target = address ^ gate[1] + else: + target = address + if tag == "D": + pair = rotate(pair, action(gate)[address]) + else: + require(tag == "phase", "Unknown Gaussian state gate") + pair = rotate(pair, gate[1]) + require(target not in result, "A monomial address map is not injective") + result[target] = pair + value = {address: pair for address, pair in result.items() if pair != (0, 0)} + while denominator and all((a | b) % 2 == 0 for a, b in value.values()): + denominator -= 1 + value = {address: (a//2, b//2) for address, (a, b) in value.items()} + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ": signed Pauli action") + require(state(actual) == state(expected), label + ": exact global phase") + + +def verify(data, certificate): + word = data["word"] + original, clean = data["programs"], data["clean_programs"] + source_recipes = data["recipes"] + residuals = data["residuals"]["recipes"] + native_tags = {"climb", "adapter", "residual_adapter"} + for orientation in ("forward", "backward"): + native = [event for event in clean[orientation] if event[0] in native_tags] + require(native == [event for event in original[orientation] if event[0] in native_tags], + "A retained native event changed") + require(len(native) == 5056, "The retained native event count changed") + frames = [frame(tuple(vectors), 9) for vectors in word["frames"]] + used = {(event[3], event[4]) for program in clean.values() + for event in program if event[0] == "climb"} + children = {(record["old"], record["new"]): record for record in source_recipes["children"]} + require(len(children) == len(source_recipes["children"]) and used <= set(children), + "The retained child recipe coverage is incomplete") + for old, new in sorted(used): + record = children[old, new] + require(record["rank"] == len(word["frames"][new]) - len(word["frames"][old]), + "A retained child has the wrong rank") + equal(recipe(record), adjoint(frames[old]) + frames[new], "Retained child") + endpoints = {(record["role"], record["port"]): record + for record in source_recipes["endpoint_adapters"]} + require(len(endpoints) == len(source_recipes["endpoint_adapters"]) + and set(endpoints) == {(role, p) for role in ("source", "target") for p in range(112)}, + "The endpoint adapter coverage is incomplete") + for (role, port), record in endpoints.items(): + direction = word["ports"][port] + conventional = (("C", direction, 1),) if role == "source" else ( + ("C", direction, -1),) + fourier(9) + index = word["start"][port] if role == "source" else word["final"][112 + port] + require(record["frame"] == index and record["rank"] == 0, "An endpoint frame changed") + equal(recipe(record), adjoint(conventional) + frames[index], "Endpoint adapter") + used_residuals = set() + for program in clean.values(): + for event in program: + if event[0] != "residual_adapter": + continue + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry) + ":" + str(terminal) + require(key in residuals and position in ("pre", "post"), "A residual binding changed") + require(entry == word["start"][register] and terminal == word["final"][register], + "A residual endpoint changed") + used_residuals.add(key) + for key in sorted(used_residuals): + record = residuals[key] + equal(recipe(record), adjoint(frames[record["frame"]]) + frames[record.get("terminal", 1)], + "Residual adapter") + records = certificate["input_recipes"] + ports = certificate["compensation_ports"] + require([record["port"] for record in records] == ports and len(records) == 8, + "The eight input recipes changed") + columns = 0 + for item in records: + port, label = item["port"], item["label"] + require(label == word["ports"][port] and item["canonical_start_frame_id"] == word["start"][port], + "An input recipe has the wrong supplier label") + record = item["recipe"] + require(record["rank"] == 1, "An input copy has the wrong child rank") + for side in ("left", "right"): + factor = record[side] + require(factor["quadratic_rows"] == [0] * 9 and factor["linear_Z4"] == [0] * 9 + and factor["offset"] == factor["phase"] == 0, + "An input factor is not an address permutation") + actual, expected = recipe(record), (("C", label, 1),) + equal(actual, expected, "Positive inherited input line") + for basis in range(512): + require(state(actual, basis) == state(expected, basis), "A complete input Gaussian column differs") + columns += 1 + negative = monomial(record["right"]) + (("C", 1, -1),) + monomial(record["left"]) + require(tableau(negative) != tableau(expected) or state(negative) != state(expected), + "An inverse input child was not detected") + phased = actual + (("phase", 1),) + require(tableau(phased) == tableau(actual) and state(phased) != state(expected), + "An input phase-only error was not detected") + return {"status": "PASS_EXACT_INPUT_NATIVE_FRAMES", "retained_native_events_per_orientation": 5056, + "retained_child_recipes": len(used), "endpoint_adapter_recipes": len(endpoints), + "residual_adapter_recipes": len(used_residuals), "new_input_recipes": len(records), + "new_exact_gaussian_columns": columns, "inverse_input_child_controls": len(records), + "phase_only_controls": len(records), "address_permutation_factors": 2 * len(records), + "method": "Independent signed Pauli and exact Gaussian interpretation; no compiler import", + "scope": "Positive inherited input frames before every retained adapter. No recursive hosting claim."} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/local.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/local.py new file mode 100644 index 0000000000..dbb3d56a4f --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/local.py @@ -0,0 +1,264 @@ +"""Replay the credited P104 word and its complete native interfaces. + +David Arias supplied the coalesced word. Cinna Davis supplied private reuse. +Gareth Davidson supplied their composition. Ali Romman prepared this caller +with substantial OpenAI Codex assistance. Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +from functools import lru_cache +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import json +import sys +import tarfile +import tempfile + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +PREFIX = 'research/p104-coalesced-private-reuse/' +GEOMETRY = ('research/complex-block-rank-optimum/inputs/selected.json.gz', + 'research/frame-sa504/inputs/hamming/PROTOTYPE.json', + 'research/p104-native-channel/inputs/P104-FIXTURE.json') + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def read(path): + raw = path.read_bytes() + return json.loads(gzip.decompress(raw) if path.suffix == '.gz' else raw) + + +def load(path, name): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def add(dst, src, q): + for k, v in tuple(src.items()): + value = dst.get(k, 0) + q*v + if value: + dst[k] = value + else: + dst.pop(k, None) + + +def span(basis): + out = {0} + for v in basis: + need(type(v) is int and 0 < v < 512 and v not in out, 'Independent binary basis') + out |= {x ^ v for x in tuple(out)} + return frozenset(out) + + +def construct(): + """Rebuild the published source without its obsolete owner-price engine.""" + manifest = read(ROOT / (PREFIX+'SOURCES.json')) + archive, = manifest['archives'] + raw = (ROOT / (PREFIX+'predecessor2152.tar.gz')).read_bytes() + need(sha256(raw).hexdigest() == archive['sha256'], 'Exact predecessor archive') + pins = {x['path']: x for x in archive['members']} + with tempfile.TemporaryDirectory(prefix='p104-source-') as tmp: + root = Path(tmp) + with tarfile.open(ROOT / (PREFIX+'predecessor2152.tar.gz')) as data: + members = data.getmembers() + need(len(members) == len(pins) == 11 and {m.name for m in members} == set(pins), 'Archive inventory') + for m in members: + need(m.isfile() and not Path(m.name).is_absolute() and '..' not in Path(m.name).parts, 'Archive file') + raw = data.extractfile(m).read() + need(sha256(raw).hexdigest() == pins[m.name]['sha256'], 'Archive member pin') + path = root/m.name + path.parent.mkdir(parents=True, exist_ok=True) + path.write_bytes(raw) + for path in GEOMETRY: + target = root/path + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes((ROOT/path).read_bytes()) + C = load(root/'research/p104-interleaved-search/coalesced.py', 'productive_p104_coalesced') + A = load(ROOT/(PREFIX+'compose.py'), 'productive_p104_composition') + built = A.construct(C, C.construct()) + need(built['report'] == read(ROOT/(PREFIX+'RESULT.json'))['composition'], 'Published complete source report') + frames, numbers = [], {} + def frame(basis): + key = tuple(basis) + if key not in numbers: + numbers[key] = len(frames) + frames.append(list(key)) + return numbers[key] + initial = [frame(C.F.basis(x)) for x in built['initial']] + final = [frame(C.F.basis(x)) for x in built['final']] + live = [r for r in range(112) if len(built['initial'][r]) == 2] + edges = built['transport_edges'] + program = [] + for e in built['scalar_operations']: + op = e['kind'] + if op == 'transport': + edge = edges[e['occurrence']] + program.append(['MOVE', edge['register'], frame(edge['source_frame']), frame(edge['target_frame']), edge['private']]) + elif op in ('private_init', 'private_discard'): + program.append(['INIT' if op == 'private_init' else 'CLEAR', e['register'], frame(e['frame'])]) + else: + program.append([{'add':'ADD', 'scale':'SCALE', 'private_copy':'COPY'}[op], *e['registers'], e['coefficient'], frame(e['frame'])]) + return {'schema':'p104-productive-source/1', 'public':735, 'live':live, 'ports':built['ports'], + 'frames':frames, 'initial':initial, 'final':final, 'program':program} + + +def replay(w): + need(len(w['program']) < 26000, 'Fixed operation bound') + frames = [span(x) for x in w['frames']] + rows = [{r:Q(1)} for r in range(743)] + current = list(w['initial']) + [None]*8 + paid, scalar, live_owned, peak = Counter(), 0, set(), 0 + for e in w['program']: + op, r = e[:2] + need(0 <= r < 743, 'Role index') + if op == 'MOVE': + _, r, a, b, private = e + need(current[r] == a and (r in live_owned) == private, 'Transport source and ownership') + need(frames[b] < frames[a] if private else frames[a] < frames[b], 'Nested chronological transport') + paid[abs(len(w['frames'][b])-len(w['frames'][a]))] += 1 + current[r] = b + elif op == 'INIT': + need(r >= 735 and r not in live_owned, 'Owned initialization') + live_owned.add(r) + peak = max(peak, len(live_owned)) + rows[r] = {} + current[r] = e[2] + scalar += 2 + elif op == 'CLEAR': + need(r in live_owned and current[r] == e[2], 'Owned erasure at declared frame') + rows[r] = {} + current[r] = None + live_owned.remove(r) + scalar += 2 + else: + q, f = Q(e[-2]), e[-1] + need(q and current[r] == f, 'Scalar destination and coefficient') + n, d = abs(q.numerator), q.denominator + need(d & (d-1) == 0, 'Dyadic scalar coefficient') + need(abs(q)+1 < 2**16, 'Fixed scalar growth bound') + if op == 'SCALE': + need(n & (n-1) == 0, 'Dyadic unit SCALE') + rows[r] = {k:q*x for k,x in rows[r].items()} + scalar += 2*(abs(n.bit_length()-d.bit_length()) + int(q < 0)) + else: + s = e[2] + need(s != r and 0 <= s < 743 and current[s] == f, 'Common scalar chart') + if op == 'COPY': + need(r in live_owned and not rows[r], 'COPY into cleared owned field') + rows[r] = {k:q*x for k,x in rows[s].items()} + else: + need(op == 'ADD', 'Scalar opcode') + add(rows[r], rows[s], q) + scalar += 2*(3+n.bit_length()-1+n.bit_count()+d.bit_length()-1) + need(not live_owned and peak == 1 and current[:735] == w['final'], 'All public and owned exits') + live = set(w['live']) + for r,row in enumerate(rows): + expected = {r:Q(1)} if r < 735 else {} + if r-112 in live: + expected[r-112] = Q(1) + need(row == expected, 'All 743 public and owned rows') + main = live | {r+112 for r in live} + helpers = Counter(len(w['frames'][w['final'][r]])-len(w['frames'][w['initial'][r]]) for r in range(735) if r not in main) + need(len(live) == len(w['ports']) == 104 and len(main) == 208 and min(helpers) > 0, 'Independent productive inputs') + return {'paid':dict(paid), 'helpers':dict(helpers), 'public_inputs':735, 'owned_lifetimes':8, + 'peak_owned_fields':peak, 'real_scalar_allowance':scalar, 'endpoint_coefficients':743*743} + + +def reverse_columns(w): + """Check the transpose with dense dyadic rows and the reverse chronology.""" + n = 743 + rows = [[int(i == j) for j in range(n)] for i in range(n)] + exponents = [0]*n + for e in reversed(w['program']): + op,r = e[:2] + if op == 'MOVE': + continue + if op in ('INIT','CLEAR'): + rows[r] = [0]*n + exponents[r] = 0 + continue + q = Q(e[-2]) + qe = q.denominator.bit_length()-1 + if op == 'SCALE': + rows[r] = [q.numerator*x for x in rows[r]] + exponents[r] += qe + else: + s = e[2] + level = max(exponents[s], exponents[r]+qe) + a, b = 1 << (level-exponents[s]), q.numerator << (level-exponents[r]-qe) + rows[s] = [a*x+b*y for x,y in zip(rows[s],rows[r])] + exponents[s] = level + if op == 'COPY': + rows[r] = [0]*n + exponents[r] = 0 + r = s + while exponents[r] and not any(x & 1 for x in rows[r]): + rows[r] = [x//2 for x in rows[r]] + exponents[r] -= 1 + for r,row in enumerate(rows): + expected = [0]*n + if r < 735: + expected[r] = 1 << exponents[r] + if r in w['live']: + expected[r+112] = 1 << exponents[r] + need(row == expected, 'Independent dense transpose columns') + return {'columns':n, 'coefficients':n*n, 'arithmetic':'Dense integer rows with binary denominators; reverse chronology'} + + +def native(w): + C = load(ROOT/'research/p104-native-channel/vendor/clifford_exact.py', 'p104_productive_clifford') + V = load(ROOT/'research/p104-native-channel/vendor/native_verify.py', 'p104_productive_gaussian') + @lru_cache(None) + def chart(i): + return C.canonical_frame(9, tuple(w['frames'][i])) + recipes = {} + def check(a,b): + if (a,b) not in recipes: + recipe,_ = C.lower_child(chart(a).adjoint().then(chart(b))) + expected = V.adjoint(V.frame(w['frames'][a],9)) + V.frame(w['frames'][b],9) + V.equal(V.recipe(recipe),expected,'Native chart change and exact global phase') + need(recipe['rank'] == abs(len(w['frames'][a])-len(w['frames'][b])), 'Native boundary rank') + recipes[a,b] = recipe + return recipes[a,b] + for e in w['program']: + if e[0] == 'MOVE': + check(e[2],e[3]) + main = set(w['live']) | {r+112 for r in w['live']} + helper_profile = Counter() + for r in range(735): + if r not in main: + helper_profile[check(w['initial'][r],w['final'][r])['rank']] += 1 + adapters = [] + for r,q in zip(w['live'],w['ports']): + need(w['frames'][w['initial'][r]] == [q], 'Literal central port') + need(span(w['frames'][w['final'][r+112]]) == frozenset(x for x in range(512) if not (x&q).bit_count()%2), 'Literal output hyperplane') + tests = [ + (C.cgate(9,q,1).adjoint().then(chart(w['initial'][r])), V.adjoint((('C',q,1),))+V.frame(w['frames'][w['initial'][r]],9)), + (chart(w['final'][r+112]).adjoint().then(C.cgate(9,q,-1).then(C.fourier(9))), V.adjoint(V.frame(w['frames'][w['final'][r+112]],9))+(('C',q,-1),)+V.fourier(9))] + for actual,expected in tests: + recipe,_ = C.lower_child(actual) + need(recipe['rank'] == 0, 'Free intrinsic main adapter') + V.equal(V.recipe(recipe),expected,'Main endpoint phase') + adapters.append(recipe) + bad = json.loads(json.dumps(next(iter(recipes.values())))) + bad['left']['phase'] = (bad['left']['phase']+1)%4 + a,b = next(iter(recipes)) + try: + V.equal(V.recipe(bad),V.adjoint(V.frame(w['frames'][a],9))+V.frame(w['frames'][b],9),'Wrong phase control') + except ValueError: + pass + else: + raise ValueError('Wrong native phase accepted') + payload = [[a,b,recipes[a,b]] for a,b in sorted(recipes)] + adapters + return {'distinct_maps':len(recipes),'main_adapters':len(adapters),'helper_normalizers':2*sum(helper_profile.values()), + 'helpers':dict(helper_profile),'recipe_payload_sha256':sha256(json.dumps(payload,sort_keys=True,separators=(',',':')).encode()).hexdigest(), + 'wrong_phase_rejected':True, 'proof':'Every signed Pauli image and exact global phase; frame induction at every positive tensor width'} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-PAIR.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-PAIR.json new file mode 100644 index 0000000000..b7f40698bd --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-PAIR.json @@ -0,0 +1,9 @@ +{ + "schema": "exact-pair-equality/v2", + "complete_output_equal": true, + "scientific_fields_excluded": 0, + "modes": 2, + "operational_traces_separate": true, + "result_sha256": "fa2fe7ce93e72569f611ca810f440e6b77d92221350c51b7b6ab19ca34d6c64b", + "request_sha256": "52bdb2e263872e78e7a3aa2a0dda34cf2c2ca085f5e0377fdfed4d0612359987" +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-RESULT.json b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-RESULT.json new file mode 100644 index 0000000000..f1bc4f7a01 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/old182-RESULT.json @@ -0,0 +1 @@ +{"canonical_main":"32890bc5de034ab8fc93ac88ead7279a6a416d04","complete_caller_paid_jobs":69912,"complete_local_paid_profile":{"1":2428,"2":557,"3":389,"4":112,"5":107,"6":17,"7":13,"9":1},"complete_productive_fields":12814,"controls":{"compiler_source_corruption":"source authentication before scientific import","literal_source_corruption":"source authentication before scientific import","lost_paid_occurrence":"lost selected paid occurrence","private_global_phase":"global phase fault independent exact absolute phase anchor","private_inverse_child":"inverse child fault all eighteen signed Pauli images","private_reverse_orientation":"reverse frame orientation fault all eighteen signed Pauli images","private_wrong_boundary":"monomial boundary fault all eighteen signed Pauli images","private_wrong_rank":"wrong declared Gaussian rank","public_global_phase":"global phase fault independent exact absolute phase anchor","public_inverse_child":"inverse child fault all eighteen signed Pauli images","public_reverse_orientation":"reverse frame orientation fault all eighteen signed Pauli images","public_wrong_boundary":"monomial boundary fault all eighteen signed Pauli images","public_wrong_rank":"wrong declared Gaussian 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Colkitt", + "email": "douglas.colkitt@gmail.com", + "date": "2026-10-25T17:07:07Z" + }, + "committer": { + "name": "Douglas R. Colkitt", + "email": "douglas.colkitt@gmail.com", + "date": "2026-10-25T17:07:07Z" + }, + "message": "Record eight queue integrations and require exact planner input paths [skip ci]", + "tree": { + "sha": "946218042c8beeb83f82709b417204305e3cc8cb", + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/git/trees/946218042c8beeb83f82709b417204305e3cc8cb" + }, + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/git/commits/5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "comment_count": 0, + "verification": { + "verified": false, + "reason": "unsigned", + "signature": null, + "payload": null, + "verified_at": null + } + }, + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/commits/5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/commit/5e0052ca0aa3036a3afa8b0438927377c8d97d53", + "comments_url": 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"checks": [] + } + }, + "protection_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/branches/main/protection" + }, + "updated_prs": { + "total_count": 6, + "incomplete_results": false, + "items": [ + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5581", + "id": 6028891038, + "node_id": "PR_kwDOU-508s8AAAABKoVV9Q", + "number": 5581, + "title": "Preserve native-history and odd-E8 research handoff (no new kappa)", + "user": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "open", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-25T20:24:28Z", + "updated_at": "2026-10-25T20:24:28Z", + "closed_at": null, + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5581", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5581", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5581.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5581.patch", + "merged_at": null + }, + "body": "This documentation and evidence handoff preserves the October 23–25 contribution sequences and the later native-history/odd-E8 investigation. The [entry point](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/README.md) links the completed results and the current continuation point. The [stop decisions](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/EXPERIMENTS.md) distinguish exact scoped results, finite searches, time limits, and unbuilt ideas.\n\n**No new kappa or complete supplier is claimed.** The ten existing PRs were already merged by maintainers. All 77 package files match their submitted Git blobs in base `5e0052ca0aa3036a3afa8b0438927377c8d97d53`; [RETENTION.json](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/RETENTION.json) records the heads and successful hosted runs. Their main-ledger status remains partially reviewed. The selected conditional kappa stays `0.003027288235`.\n\nThe handoff also preserves the [small E retained-history test](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/e-history/README.md). Exact rational spans reject the two negative targets after all retained values and all 76 one-axis queries are granted together. The changed spectral control recovers all four targets. This is a four-input, four-axis group-algebra fixture; it is not a result about the actual large caller or all physical decoders.\n\nThe unchanged source fixture comes from THU New Media Research Center's [PR #5464](https://github.com/CrocSwap/integer-mult-bounds/pull/5464), [exact original file](https://github.com/thu-nmrc/integer-mult-bounds/blob/56ba6d7d609124d71c067d6a380caed573963f8f/research/odd-e8-lowrank-e-native/N3-PROGRAM.json). The handoff separately records that PR's newer full120 construction and the remaining negative decoder. Credit for that work and for [PR #5508](https://github.com/CrocSwap/integer-mult-bounds/pull/5508) remains with their source authors. Earlier native, geometry, precision and parity-projector credit is retained at the linked results.\n\nPython 3.12.13 and the standard library suffice. Run in a disposable copy because the screens write receipts:\n\n```sh\ncd docs/research/handoffs/ali-romman-20261025/e-history\npython3.12 -B history_module.py --exact\npython3.12 -O -B history_module.py --exact\npython3.12 -B verify_control.py\npython3.12 -O -B verify_control.py\npython3.12 -B paid_return_screen.py\n```\n\nAll five commands passed at closeout. Exact history status is `EXACT_RATIONAL_HISTORY_SCREEN`; the control reports `PASS_EXACT_CONTROL_AT_LAMBDA_2`. Normal and optimized scientific fields match the saved receipts. [REPLAY.json](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/REPLAY.json) records the four exact runs. Source-blob, JSON/Python syntax, and diff checks passed. The complete large caller, selected cold replay, compiler, precision/storage admission, formal kernel, and independent review of this last test were not run. Earlier exploratory searches were not all rerun.\n\nOnly this handoff directory is added. Source packages and frontier files are unchanged. Original claims have been released and the answered control request is marked answered. Prepared by Ali Romman with substantial OpenAI Codex assistance; no subagents. Apache-2.0. This PR preserves evidence and open obligations; publication does not discharge them.\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5581/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5580", + "id": 6028886248, + "node_id": "PR_kwDOU-508s8AAAABKoVGCw", + "number": 5580, + "title": "Conditional κ = 0.00308189 (+7.6453e-8 raw over #5569)", + "user": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "open", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-25T20:24:02Z", + "updated_at": "2026-10-25T20:24:02Z", + "closed_at": null, + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5580", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5580", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5580.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5580.patch", + "merged_at": null + }, + "body": "This construction certifies **conditional κ = 0.00308189**, up from 0.00308181 in [PR #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569). The raw crossing increases by **7.645343e-8 to 7.645345e-8**, from (0.00308181851522, 0.00308181851523) to **(0.00308189496866, 0.00308189496867)**. It changes the complete paid profile and leaves the selected record unchanged.\n\n[Proof](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/PROOF.md) · [Complete receipt](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/RESULT.json) · [Source pins](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/SOURCES.json) · [Four-site construction](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/construct.py).\n\nThe edit moves `ADD 451 += 228` from a three-dimensional chart to a four-dimensional chart. At each of 18 forward calls, two rank-three paid transports become one rank-two and one rank-four transport. Strict concavity proves the signed-moment gain. All 735 public endpoints, 527 helper targets, 21,686 ordered scalar/owned operations and eight owned lifetimes stay fixed. The complete bill retains **66,852 paid jobs, 12,814 productive fields and rank surplus 760**. It includes all helpers, normalizers, adapters, queries, idles, routes and owned costs. The reported native growth bound now derives the actual paid-rank sum 6,013; the source's old literal 5,894 was stale. That report correction does not cause the κ gain.\n\nThe claim is tested at 0.0030818905. The exact derivative is negative throughout [0,0.0034], so the new crossing is the raw funding ceiling for this fixed invoice under the retained BIT cap. Raw headroom above the claim is 4.96866e-9 to 4.96867e-9. This is not a global P104 optimum.\n\nVerification uses Python 3.12 and the standard library; no solver is required:\n\n```sh\npython3.12 -B scripts/research_package.py --package research/p104-event-contact-step\n```\n\nExpected markers are `PASS_P104_EVENT_CONTACT_KAPPA_00308189` in both modes and `PASS_REGISTERED_RESEARCH_PACKAGE`. Warning-strict registered normal and optimized replays passed on CPython 3.12.13. A separate isolated, optimized Git-free export replay passed with read-only files, empty PATH and unchanged source hashes. Committed-byte and source-pin checks passed. Full-history preflight was not run because the checkout is shallow; immediate-base ancestry was checked. The checks cover exact arbitrary-input endpoints, 552,049 dense transpose coefficients, 2,921 signed native maps, the full physical caller, two rational moment engines, compiler conditions and all 54 strict plus four functional outer predicates. Four invalid contact words and the unchanged-word control reject; the retained phase, BIT and cutoff controls also reject. [Validation details](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/VALIDATION.md).\n\nThe same five framework assumptions remain, together with the source helper-endpoint contract. This edit changes none of those endpoints. The enormous uniform word and complete rounded multiplier are not materialized. Independent scientific review and hosted CI remain pending. The larger p19 headline in [PR #5440](https://github.com/CrocSwap/integer-mult-bounds/pull/5440) retains an unresolved chain-to-native compiler and physical attachment; this contribution improves the complete P104 paid-caller line and does not claim to exceed that extra-premise numerical model.\n\nBase is canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`. The consumed [PR5569 word](https://github.com/GamingPuzzled/integer-mult-bounds/blob/af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf/research/p104-priced-handoff/WORD.json.gz) is pinned to `af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf`. The unchanged executable source closure is [PR #5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) at `18968423711fd902aaee1099979497d55603e1dc`. [Canonical coordination](https://github.com/CrocSwap/integer-mult-bounds/discussions/5574) records overlap and the released handoff; current main was refreshed before submission.\n\nCredit: @GamingPuzzled (Joel Pulikkan) supplied [PR #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569)'s priced handoff; @DreamingOfClouds supplied [PR #5561](https://github.com/CrocSwap/integer-mult-bounds/pull/5561), [PR #5568](https://github.com/CrocSwap/integer-mult-bounds/pull/5568) and its released event-placement lead; @thu-nmrc supplied [PR #5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551). Ali Romman's [PR #5544](https://github.com/CrocSwap/integer-mult-bounds/pull/5544) and [PR #5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) supply the complete caller and source closure. The [local-word source notices](https://github.com/CrocSwap/integer-mult-bounds/blob/e2a6cce2f9db5a2c5f9714f4b9e5292dd3a10581/research/p104-productive-controller/local.py) credit Gareth Davidson, David Arias and Cinna Davis. The [pricing source notices](https://github.com/GamingPuzzled/integer-mult-bounds/blob/af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf/research/p104-priced-handoff/pricing.py) credit Cinna Davis's controller, Jacob Alan Sussman's productive recursion, and zxv and Cao Yifan's interval/compiler work. Earlier geometry/BIT/analytic attribution remains in the authenticated closure. New work is by Ali Romman with substantial OpenAI Codex assistance; the same assistant performed the construction and checks. Apache-2.0. No independent review is claimed.\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5580/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5579", + "id": 6028881342, + "node_id": "PR_kwDOU-508s8AAAABKoU1Xg", + "number": 5579, + "title": "Close P104 owned-holder handoffs with public frame separators (no new kappa)", + "user": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "open", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-25T20:23:36Z", + "updated_at": "2026-10-25T20:23:36Z", + "closed_at": null, + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5579", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5579", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5579.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5579.patch", + "merged_at": null + }, + "body": "This finite obstruction closes the owned-scratch gap explicitly left by PR #5569. All 5,252 owned-holder event cuts, including all 2,832 omitted scalar points, have two public holders with incompatible frame anchors. The same certificate applies to the exact PR #5561 and #5569 words. No new kappa is claimed.\n\n[Proof and scope](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/README.md), [exact checks](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/verify.py), [source pins](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/SOURCES.json), [registered replay](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/VERIFY.json). Base: canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`, priority revision 7. Contribution head: `29d388e9cde819de3b36893e64a7c74c6ed4ac63`.\n\nThe proof permits any binary common frame, any number of extra coframed registers, arbitrary MOVE stops between fixed scalar anchors, and free service of owned holders. Public constraints alone exclude every single-common-frame successor reset in this domain. This directs further work toward changed public anchors or a distributed reset. It does not cover a changed scalar prefix, public basis, scalar order or scalar frame. Canonical claim: [Discussion #5576](https://github.com/CrocSwap/integer-mult-bounds/discussions/5576). The active retime and basis scopes remain separate. The submission refresh found the concurrent [Discussion #5575](https://github.com/CrocSwap/integer-mult-bounds/discussions/5575) on changing the owned-boundary scalar realization. This fixed-program obstruction was sent there as supporting evidence; it does not close or reserve that changed-program scope.\n\nRegistered Python 3.12 normal and optimized replays pass. Sparse rational construction and a separate integer/dyadic pass check all required cuts and scalar exits; bitset and Gaussian frame checks verify every separator. Four controls reject missing coverage, a false separator, a false anchor and a false public-holder role. Both words produce certificate SHA256 dfcace797d5a8f49e2a104fcf8820232f02b0a174f478b24469c9b94a3b55211.\n\n```sh\npython3.12 -B scripts/research_package.py --package research/p104-owned-holder-handoffs\n```\n\nPython 3.12 and the standard library suffice. Committed-byte checks pass. No new native, physical caller, compiler or outer replay is claimed. This is a necessary-condition obstruction, not a global lower bound or independent admission of the predecessor kappa. Full historical ancestry checking was not run in the shallow checkout. Hosted status is unconfirmed at publication.\n\nSource words: [GamingPuzzled / Joel Pulikkan, #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569) at af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf, [DreamingOfClouds, #5561](https://github.com/CrocSwap/integer-mult-bounds/pull/5561), thu-nmrc #5551 and aliromman #5544/#5545. Retain Gareth Davidson, David Arias, Cinna Davis, Cao Yifan, zxv, Jacob Alan Sussman and the productive-helper/native/compiler lineage. Exact remote paths and both content hashes are in INPUTS.json. Source interpreters are not imported.\n\nOpen next questions: defeat one public separator with a charged changed-anchor word, or provide a distributed reset with all old-input uses and owned returns paid. Coordinate with the active claims before taking those scopes.\n\nPrepared by Ali Romman with substantial OpenAI Codex assistance; Apache-2.0.\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5579/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5341", + "id": 6002709779, + "node_id": "PR_kwDOU-508s8AAAABKT6YQA", + "number": 5341, + "title": "Prove single crossing for every fixed p16 fragmentation invoice", + "user": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "closed", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 1, + "created_at": "2026-10-23T17:45:22Z", + "updated_at": "2026-10-25T20:21:13Z", + "closed_at": "2026-10-23T18:37:52Z", + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5341", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5341", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5341.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5341.patch", + "merged_at": "2026-10-23T18:37:52Z" + }, + "body": "This enabling proof removes the grid-only single-crossing assumption S1 for every positive-integer fragmentation invoice in the fixed p16 controller class. The complete moment is strictly increasing on `t in [4/5,1]` and has exactly one zero with `C=1-t in (0,1/20)`. This makes the class's raw-moment sufficiency test rigorous. It produces no new native word or κ improvement.\n\n[Proof](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/PROOF.md), [certificate receipt](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/RESULT.json), [source pins](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/SOURCES.json) and [checker](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/verify.py). Base: canonical main `ff3cc58e370d0f678e529246f8c73e8094e18fcf`, priority 7.\n\nFix p=16, a=7 or 8, v=112, d=8, 18 native calls, the retained 408 helper endpoints and eight rank-8 center jobs per call. Each main/helper net increment may be split into any positive integer partition of that increment. Helper targets stay fixed; only their paid increments are partitioned. Keep all other targets and paid jobs fixed. Partitions may differ across fields and calls; no realizable native word is asserted for each partition. Descents, nonnested excess cost, extra jobs, changed endpoints and coded interfaces are outside the theorem.\n\nThe key certificate uses weighted tails `B_k=sum_(r>=k) r(T_r-P_r)`. Splitting a paid rank cannot decrease any tail. The unsplit comparison has B_k=2432 for k=2,...,8 and B_k>=32480 for k=9,...,145. Summation by parts proves strict interval monotonicity. Exact integer-power enclosures give:\n\n```text\nf_unsplit(19/20) <= -1994616351/524288 < -3804\nf_partition(19/20) <= f_unsplit(19/20)\nf_partition(1) = 752.\n```\n\nThus every invoice in the class has one crossing. The proof replaces sampling; it does not add more digits to the existing root.\n\nUse CPython 3.12 and the standard library:\n\n```sh\npython3.12 -B scripts/research_package.py --package research/fragmentation-single-crossing\npython3.12 -B scripts/check_research_commit.py --package research/fragmentation-single-crossing\n```\n\nBoth registered modes passed under Python 3.12.13 with warnings as errors and `-O`. Expected verifier marker: `PASS_FRAGMENTATION_SINGLE_CROSSING`. Checks bind the complete source invoice, all 144 tails, 96 positive integer partitions, 22 exact root intervals and a rational exponential bound. Changed high-rank cost, missing helper credit and a wrong partition total are controls. Committed-byte/export checks, both direct exported modes and `git diff --check` passed. Full-history validation was not run in the shallow checkout. No native, Lean, compiler, outer-ledger or selected replay ran.\n\n[PR #5226](https://github.com/CrocSwap/integer-mult-bounds/pull/5226) supplies the fragmentation framework and [S1 statement](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/fragmentation-ceiling/PROOF.md). Its [source attribution](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/fragmentation-ceiling/README.md) names Claude Opus 5.5 via Claude Code; no human authorship is inferred from the submission account. Cao Yifan (@intqwq) supplies [PR #4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610) and the [consumed invoice](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/kappa-round3-warp-20261022/ARITHMETIC.json). Retained controller/native credit is preserved. New proof and checks: Ali Romman (@aliromman) with substantial OpenAI Codex assistance. Apache-2.0; author-checked, not independent acceptance. [Scoped claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/1166#discussioncomment-19151239).\n\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5341/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5578", + "id": 6028842710, + "node_id": "PR_kwDOU-508s8AAAABKoS2BQ", + "number": 5578, + "title": "Close full-rank coded Gaussian terminals with one rank-two query", + "user": { + "login": "Dugongue", + "id": 49054532, + "node_id": "MDQ6VXNlcjQ5MDU0NTMy", + "avatar_url": "https://avatars.githubusercontent.com/u/49054532?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/Dugongue", + "html_url": "https://github.com/Dugongue", + "followers_url": "https://api.github.com/users/Dugongue/followers", + "following_url": "https://api.github.com/users/Dugongue/following{/other_user}", + "gists_url": "https://api.github.com/users/Dugongue/gists{/gist_id}", + "starred_url": "https://api.github.com/users/Dugongue/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/Dugongue/subscriptions", + "organizations_url": "https://api.github.com/users/Dugongue/orgs", + "repos_url": "https://api.github.com/users/Dugongue/repos", + "events_url": "https://api.github.com/users/Dugongue/events{/privacy}", + "received_events_url": "https://api.github.com/users/Dugongue/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "open", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 0, + "created_at": "2026-10-25T20:19:58Z", + "updated_at": "2026-10-25T20:19:58Z", + "closed_at": null, + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5578", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5578", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5578.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5578.patch", + "merged_at": null + }, + "body": "Close the actual whole-K/E negative terminal Q0^(-1) P D to its full independent Gaussian rank using one rank-2 query, replacing the previous two rank-1 repair queries. The decoder uses the characteristic translation fixed by each columnwise native normalizer; explicit XOR-coordinate permutations prove the child normalization and full-rank output with exact phase. The proof includes all positive lift widths, ordinary P inverse, reciprocal orientations, owned-storage cleanup and field-volume precision guards.\r\n\r\nThe package also constructs a faithful ambient-18 whole-K/E primitive from the degenerate binary product-cube support, retaining actual native child ranks 8,9,8,9 and rebuilding its physical modal code. Companion results give rank-selective autonomy for the eight-mode provider, a complete 632-input full-rank promotion, scalar subspace-gauge defect tariffs, and a sector-multiplexed query-sharing algorithm with a strict full-map example.\r\n\r\nNo higher complete multiplication kappa is established. The full-rank repair improves its concave moment by v(2 - 2^t), but the complete supplied invoice remains unprofitable; the older rank-dropping repair also retains a better isolated concave moment. No saving from a hypothetical sector-sharing instance is charged to the selected provider. Changed ambient dimensions always use their changed output ranks.\r\n\r\nAdds five mathematical Markdown documents containing 31 numbered results with informal proofs. No numerical experiments, solvers, web searches or Lean checks were used. The source comparison uses locally retained canonical commit 5e0052ca0aa3036a3afa8b0438927377c8d97d53, without claiming a fresh upstream or literature novelty audit. No selected-frontier change is proposed.\r\n\r\nCredit Dillon Amburgey PR5402; Chris R/Clear1nsight PR5407 and PR5413; Ali Romman PR5377, PR5383 and PR5439; Cinna Davis PR4694/PR4698 and the controller lineage; THU New Media Research Center PR5464; Cao Yifan; DaysSky; Nick Petalas; Ryanson Jonathan; Dugongue; Jacob Alan Sussman; zxv; Harvey and van der Hoeven; and the retained native, Clifford, scalar, compiler and analytic sources. The individual notes identify the relevant predecessor documents and distinguish classical tools from their concrete provider applications. Substantial OpenAI Codex assistance from four workers.\r\n\r\nSuggested review: decoder.md D1-D3 and D6-D7, whole-k.md K1-K6, current-provider.md Theorems 1 and 8-9, and typed-provider.md T3 and T6-T7. Only research/characteristic-gaussian-provider is added.\r\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5578/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + }, + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561", + "repository_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds", + "labels_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561/labels{/name}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561/comments", + "events_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561/events", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5561", + "id": 6026740524, + "node_id": "PR_kwDOU-508s8AAAABKmqLng", + "number": 5561, + "title": "P104 free helper endpoints: conditional κ .0030814243 (retime of #5551's word)", + "user": { + "login": "DreamingOfClouds", + "id": 173691639, + "node_id": "U_kgDOClpS9w", + "avatar_url": "https://avatars.githubusercontent.com/u/173691639?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/DreamingOfClouds", + "html_url": "https://github.com/DreamingOfClouds", + "followers_url": "https://api.github.com/users/DreamingOfClouds/followers", + "following_url": "https://api.github.com/users/DreamingOfClouds/following{/other_user}", + "gists_url": "https://api.github.com/users/DreamingOfClouds/gists{/gist_id}", + "starred_url": "https://api.github.com/users/DreamingOfClouds/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/DreamingOfClouds/subscriptions", + "organizations_url": "https://api.github.com/users/DreamingOfClouds/orgs", + "repos_url": "https://api.github.com/users/DreamingOfClouds/repos", + "events_url": "https://api.github.com/users/DreamingOfClouds/events{/privacy}", + "received_events_url": "https://api.github.com/users/DreamingOfClouds/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "labels": [], + "state": "open", + "locked": false, + "assignees": [], + "milestone": null, + "comments": 2, + "created_at": "2026-10-25T16:37:20Z", + "updated_at": "2026-10-25T20:16:15Z", + "closed_at": null, + "assignee": null, + "author_association": "CONTRIBUTOR", + "issue_field_values": [], + "type": null, + "active_lock_reason": null, + "draft": false, + "pull_request": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5561", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5561", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5561.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5561.patch", + "merged_at": null + }, + "body": "## Summary\n\nComplete conditional kappa **.0030814243** (+3.99e-5, +1.31% over #5551's .0030415312), tested at .0030814205, exact raw crossing in (.00308142433380, .00308142433381). Supporting word with free helper *starts* only: **.0030768801** (+3.54e-5).\n\nPackage: `research/p104-free-endpoint-retime/` (task card `scalar-to-moment`, recorded as `scope_status: changed`; the package retimes helper endpoint/stop frames of #5551's word rather than pursuing scalar A2 contractions).\n\n## What changed\n\nA retime of helper endpoints and a collapse of 170 stops on #5551's pinned word. It is **not** an unchanged circuit: the scalar program (21,686 events, registers, coefficients, order) is identical, but 168 helper start spans and 23 helper final spans differ, 607 frame labels are relabelled, and 3,624 -> 3,454 MOVEs. All 208 main registers keep identical initial and final spans; productive fields (12,814) and rank-mass surplus (760) are unchanged; paid calls 69,912 -> 66,852.\n\nThe retime was found by an exact-lattice CP-SAT solve (multi-worker, not byte-reproducible), so the package ships both words plus `retime.py`, a stdlib checker proving each is a legal retime of #5551's pinned word. `pricing*.py` are #5551's pricing with literal-only changes (`LITERAL-CHANGES.diff`); the PR5545 `local.py` is used unmodified.\n\n## Conditional on\n\n(a) the five framework assumptions retained by #5544/#5545/#5551; (b) the validity of #5551 (unreproduced at the time of writing); (c) free helper START frames and free helper FINAL frames. The verifier checks only nesting and rank = dimension gap for helpers; the canonical-start rule exists only in the #4610 verifier, and unmodified #5544 already has mid-frame helper starts and mixed finals. The supporting word needs only free starts. No independent human or proof-kernel acceptance is claimed. The selected record is not changed.\n\n## Verification\n\n- `python3 scripts/research_package.py --package research/p104-free-endpoint-retime --check-only`\n- `verify.py --part headline` and `--part starts-only` (each about 6 minutes): retime legality, unmodified #5545 replay/columns/native, physical caller, both moment engines, all 54 strict + 4 functional outer checks, exact crossing intervals.\n- An internal AI audit (separate read-only Claude agent) reproduced an earlier #5545-based version of this retime and rated maintainer intent for free helper frames as unresolved.\n\nAlso cherry-picks the one-line `wordram-ntt-kernel` VERIFY.json input fix needed for onboarding tests on current main.\n\n## Credits\n\n#5551 (thu-nmrc); #5544/#5545 (aliromman, P104 word line); #5472 (GamingPuzzled) for the free-start hand-off precedent. All predecessor credit retained.\n\nPrepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code.\n\n🤖 Generated with [Claude Code](https://claude.com/claude-code)\n", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "timeline_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561/timeline", + "performed_via_github_app": null, + "state_reason": null, + "score": 1 + } + ], + "search_type": "lexical" + }, + "issue_comments": [ + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/comments/6402641836", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5561#issuecomment-6402641836", + "issue_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5561", + "id": 6402641836, + "node_id": "IC_kwDOU-508s8AAAABfaCPrA", + "user": { + "login": "Matarener", + "id": 52912325, + "node_id": "MDQ6VXNlcjUyOTEyMzI1", + "avatar_url": "https://avatars.githubusercontent.com/u/52912325?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/Matarener", + "html_url": "https://github.com/Matarener", + "followers_url": "https://api.github.com/users/Matarener/followers", + "following_url": "https://api.github.com/users/Matarener/following{/other_user}", + "gists_url": "https://api.github.com/users/Matarener/gists{/gist_id}", + "starred_url": "https://api.github.com/users/Matarener/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/Matarener/subscriptions", + "organizations_url": "https://api.github.com/users/Matarener/orgs", + "repos_url": "https://api.github.com/users/Matarener/repos", + "events_url": "https://api.github.com/users/Matarener/events{/privacy}", + "received_events_url": "https://api.github.com/users/Matarener/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "created_at": "2026-10-25T20:16:15Z", + "updated_at": "2026-10-25T20:16:15Z", + "body": "An independent audit of hypothesis (c), free helper start/final frames, against the #5550 P104 endpoint contract is in #5567: no new κ, CI green. The #5550 checker passes on both words of this PR.\n\n---\n_Generated by [Claude Code](https://claude.ai/code)_\n", + "author_association": "CONTRIBUTOR", + "reactions": { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/comments/6402641836/reactions", + "total_count": 0, + "+1": 0, + "-1": 0, + "laugh": 0, + "hooray": 0, + "confused": 0, + "heart": 0, + "rocket": 0, + "eyes": 0 + }, + "performed_via_github_app": null, + "minimized": null + } + ], + "review_comments": [], + "pr_metadata": [ + { + "url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5554", + "id": 5005764562, + "node_id": "PR_kwDOU-508s8AAAABKl3n0g", + "html_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5554", + "diff_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5554.diff", + "patch_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5554.patch", + "issue_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5554", + "commits_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5554/commits", + "review_comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/5554/comments", + "review_comment_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/pulls/comments{/number}", + "comments_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/issues/5554/comments", + "statuses_url": "https://api.github.com/repos/CrocSwap/integer-mult-bounds/statuses/18c1770246340e9f4aaac5a9ebd712e23498d0a3", + "number": 5554, + "state": "closed", + "locked": false, + "title": "Research: the productive-helper path (#4440 lineage) can't pass κ ≈ .00304 without cheaper helpers", + "user": { + "login": "zxv", + "id": 366474, + "node_id": "MDQ6VXNlcjM2NjQ3NA==", + "avatar_url": "https://avatars.githubusercontent.com/u/366474?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/zxv", + "html_url": "https://github.com/zxv", + "followers_url": "https://api.github.com/users/zxv/followers", + "following_url": "https://api.github.com/users/zxv/following{/other_user}", + "gists_url": "https://api.github.com/users/zxv/gists{/gist_id}", + "starred_url": "https://api.github.com/users/zxv/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/zxv/subscriptions", + "organizations_url": "https://api.github.com/users/zxv/orgs", + "repos_url": "https://api.github.com/users/zxv/repos", + "events_url": "https://api.github.com/users/zxv/events{/privacy}", + "received_events_url": "https://api.github.com/users/zxv/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "body": "We prove all-length caps and a per-FULL price frontier for rank-eight productive-helper paths, identifying the local savings needed for further growth beyond controller-only changes.\n\n## Background\n\n[#4359](https://github.com/CrocSwap/integer-mult-bounds/pull/4359) raised κ to .0023 with productive helpers. Independent helper jobs finish with autonomous transforms and earn output credit, and a mixed-rank compiler turns that template into a uniform supplier. A supplier with saving C passes when its paid jobs cost less than its targets in the rank moment M_t(X) = Σ X_r r^t, with t = 1−C.\n\n[#4440](https://github.com/CrocSwap/integer-mult-bounds/pull/4440) and [#4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470) developed this into a specific construction: a paired path of FULL stages, each adding a fresh rank-eight block, interleaved with rank-one QUERY stages. It reached .00302. Every κ gain since has kept that path and changed only the local helper bill. These gains came from the native profile of [#4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610), the owned helper relations of [#5377](https://github.com/CrocSwap/integer-mult-bounds/pull/5377) and [#5383](https://github.com/CrocSwap/integer-mult-bounds/pull/5383), and the transposition and direct caller of [#5392](https://github.com/CrocSwap/integer-mult-bounds/pull/5392) and [#5398](https://github.com/CrocSwap/integer-mult-bounds/pull/5398). The last was the neutral completion of [#5413](https://github.com/CrocSwap/integer-mult-bounds/pull/5413), now the selected result at .003027288235. The open P104 proposals [#5544](https://github.com/CrocSwap/integer-mult-bounds/pull/5544), [#5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) and [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) change the bill again and reach .00304153.\n\nThat history raises two questions. For a fixed bill, can a longer or rearranged path still raise κ? If not, how much cheaper must the bill become to reach a target κ? This PR answers both for the rank-eight path. It makes no new κ claim.\n\n## Significance for researchers\n\nWe give a stopping rule for controller changes at fixed local cost and a quantitative target for redesigned providers. A universal ceiling for all native productive-helper mechanisms would additionally need a lower bound on local debt over arbitrary legal factorizations; that bound remains open.\n\n## Summary\n\n- **Controller-only search on a fixed local bill is finished.** For the rank-eight prefix/suffix path, every length, split and FULL/QUERY mask reduces to one strictly convex invoice per FULL count. So each bill has an exact all-length cap on raw saving, and it holds for every larger saving.\n- **The selected bill has essentially no headroom left.** [#5413](https://github.com/CrocSwap/integer-mult-bounds/pull/5413)'s κ is within 1.5×10⁻¹¹ of its all-length cap, and [#5468](https://github.com/CrocSwap/integer-mult-bounds/pull/5468)'s refinement is within 10⁻¹². Further compiler or precision work on this bill can gain only digits.\n- **New local mechanisms get a price test.** With net local debt L(t), a favorable path exists exactly when L(t) < v·λ₈(t). Reaching C=.0034 from [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) needs more than **4.91394927369 moment units of net saving per FULL**. That is about 0.28% of its net local debt, and about 30× the reduction in the required per-FULL discount from [#5413](https://github.com/CrocSwap/integer-mult-bounds/pull/5413) to [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) at that C.\n- **The ~.003 number comes from local debt, not from the path topology.** If the neutral bill's eight H8 completion calls were free, the same path would allow about .0081. So \"productive helpers are stuck at .003\" does not follow from this work, and this work does not claim it.\n\n## Caps on raw saving\n\nThe raw-saving ceiling is the supremum of values C for which the supplier moment test M_t(P) < M_t(T), t = 1−C, passes. It comes before compiler, BIT and outer losses, so it bounds κ for the same bill from above.\n\n| Local contract | Claimed κ | Sup of raw saving, all lengths/splits/masks | Best FULL count |\n|---|---|---|---:|\n| Selected [#5413](https://github.com/CrocSwap/integer-mult-bounds/pull/5413) | .003027288235 | (.00302728824993, .00302728824995) | 18 |\n| P104 [#5544](https://github.com/CrocSwap/integer-mult-bounds/pull/5544) | .00304057 | (.00304057807630, .00304057807631) | 18 |\n| P104 [#5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) | .00304117 | (.00304117181649, .00304117181650) | 18 |\n| P104 [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) | .00304153 | (.00304153116714, .00304153116715) | 18 |\n| Neutral bill, eight H8 completions free | none (relaxation) | (.00807671283977, .00807671283979) | 7 |\n\nThe P104 rows extend the submitted fixed-p16 crossings to the whole path family. They take the native circuits as given and do not re-verify them. The last row is an optimistic relaxation, not a construction. Even this relaxation misses .01 by more than 21.85 units per FULL.\n\nThe universal exchange/convexity reduction builds on [Ali Romman](https://github.com/aliromman)'s [#5405](https://github.com/CrocSwap/integer-mult-bounds/pull/5405) and [Chris R](https://github.com/Clear1nsight)'s independent [#5409](https://github.com/CrocSwap/integer-mult-bounds/pull/5409). This package generalizes it to arbitrary ports v, block rank b > 1 and local debt L. The new parts are the application to P104, the price frontier and the closure result.\n\n## Price frontier for changed providers\n\nWrite the optimal invoice with n FULLs as C_n = nL + v·c_n(t), where c_n depends only on the path geometry and t. Then λ_b(t) = max_n (−c_n/n). A provider that keeps v, b and the controller contract must cut net local debt per FULL by more than min_n C_n/n. Each new repair request counts against that saving. The minimizing n depends only on b and t, not on the local word. Three rational signs certify it over all n, so no large-controller search is needed.\n\n| Target C | Best FULL count | Net saving needed per FULL from [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) | From [#5413](https://github.com/CrocSwap/integer-mult-bounds/pull/5413) |\n|---|---:|---:|---:|\n| .0031 | 18 | .80638594481 | .99667194384 |\n| .0033 | 17 | 3.54923453123 | 3.72139618536 |\n| .0034 | 16 | 4.91394927369 | 5.07657009697 |\n| .004 | 14 | 12.96623724304 | 13.06167562796 |\n| .006 | 9 | 38.56153416704 | 38.34368776890 |\n| .01 | 5 | 85.66448729816 | 84.53539335470 |\n\nValues are rounded down; the exact outward endpoints are in RESULT.json. Units are rank-power moments, not ADD counts. For scale, [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551)'s net local debt is L(t) ≈ 1736 at C=.0034. At C=.006 and C=.01, the 112-port neutral bill needs *less* saving than the 104-port [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551). P104's advantage near the current crossing does not persist at every tested target; a changed provider's port count must be included in the comparison.\n\n**Why .0034:** it is the selected outer contract's admitted BIT budget. With that budget fixed, a change to COMPLEX alone cannot promote κ ≥ .0034, whatever the frontier says. This limit belongs to the outer interface. It is not a BIT impossibility result.\n\n**Why the margins are small:** every completed native profile here has L(1) = 17v − 48. At t = 1 the optimal invoice therefore has surplus exactly 48n − v: 752 for the selected n=18 invoice and 760 for P104. The positive-C crossing still depends on how paid and target ranks are distributed.\n\nTo price a new autonomous bill (`ports`, `paid`, `helper_targets`):\n\n```sh\npython3.12 -B research/kappa-architecture-frontier/verify.py --price PROFILE.json --C 0.0034\n```\n\nThe command reports exact discount bounds and the all-n certificate. If an interval sign is ambiguous, or the minimizer lies beyond n=4096, it fails as unknown. It does not inspect a native word or admit a supplier.\n\n## Closure: what cannot amplify a failed bill\n\nFix t and take bills that each fail the moment test. None of the following produces a passing bill:\n\n- disjoint combinations;\n- positive scaling;\n- declared tensor products;\n- exact acyclic typed cancellation;\n- charged splitting or completion.\n\nSo more tensor depth, batching, repetition or a finer funding grid cannot rescue a failed bill. A mixture of compatible autonomous providers cannot beat its best member. None of this covers:\n\n- a new cross-boundary consumer;\n- correlated or coded outputs;\n- a changed idle law or controller graph;\n- an arbitrary native refactorization.\n\n## Relation to other claims\n\nThe frontier assumes autonomous outputs, so it neither refutes nor supports the coded, centre-free p19 proposal [#5440](https://github.com/CrocSwap/integer-mult-bounds/pull/5440) (.0033999964). That PR is outside this contract. Its source at `c0f52b5b` reports `FINDING_PRECOMPILATION_CONTRACT_MISSING` and `kappa_attached_to_physical_chain: false`. The claim map lists it separately from admitted results for that reason. The floating-point LP screens in [#5465](https://github.com/CrocSwap/integer-mult-bounds/pull/5465) are not used as lower bounds. They cover one word or commutation poset, not a redesigned native word.\n\n## Evidence and scope\n\nThe selected construction, frontier, allocation and queue dispositions remain unchanged. Checkpoint: canonical main `32890bc5`; source bills bound at [#5544](https://github.com/CrocSwap/integer-mult-bounds/pull/5544) `e2a6cce2`, [#5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) `18968423`, [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) `1123635a` and [#5440](https://github.com/CrocSwap/integer-mult-bounds/pull/5440) `c0f52b5b` (full hashes in [SOURCES.json](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/SOURCES.json) and [ORIGINS.json](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/ORIGINS.json)).\n\nSee [the proof](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/PROOF.md), [claim map](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/CLAIMS.md), [exact receipt](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/RESULT.json), [source origins](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/ORIGINS.json) and [validation](https://github.com/zxv/integer-mult-bounds/blob/739e3095c9864f53af1da7c7af5a634c7a369d2c/research/kappa-architecture-frontier/VALIDATION.md). The checks use an independent rational engine written with only the Python standard library: interval arithmetic on a 2²²⁴ grid, with no floating-point acceptance. The engine:\n\n- reconstructs every coefficient of four complete source invoices;\n- proves six all-length gates that also cover every larger saving;\n- proves thirteen all-length discount gates;\n- checks 912 small-mask comparisons.\n\nFourteen rejection controls reject changed source bytes, forged Git trees, omitted query/idle/helper bills and false admission receipts. They pass in both normal and optimized Python.\n\nValidation used CPython 3.12.8, registered serial replays and a Git-free, network-free read-only export (archive SHA256 `c741d2d2…`). The caps are raw moment theorems under the stated controller and local contracts. Native words and the five framework assumptions are inherited. This package does not claim a whole selected replay, a proof-kernel theorem, hosted CI or independent human acceptance.\n\n## Open next questions\n\n- **Native lower bound at .0034.** Can any legal rank-eight native factorization beat [#5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551) by more than 4.91394927369 units per FULL? A yes needs a complete charged word. A no must cover arbitrary factorizations, not one poset.\n- **Lower [#5440](https://github.com/CrocSwap/integer-mult-bounds/pull/5440)'s coded consumer.** Price its actual native event chain, keeping recodings, phases, ownership and all later calls.\n- **Change an invariant.** Change one query, idle, state or geometry invariant and derive its full optimistic invoice before extending a search.\n- **Check the ratio-frontier proof.** Independently check the written proof, especially the n=2/3 convexity junction and the J_(n+1)−J_n sign gate. The finite controls do not replace this check.\n\nWe retain the productive/compiler lineage of [Cinna Davis](https://github.com/1337isnot1337), [Cao Yifan](https://github.com/intqwq), [Dillon Amburgey](https://github.com/dillona), [Jacob Alan Sussman](https://github.com/jacobalansussman), [Ali Romman](https://github.com/aliromman), [Chris R](https://github.com/Clear1nsight), [Gareth Davidson](https://github.com/bitplane), [David Arias](https://github.com/DavidAriasC), [thu-nmrc](https://github.com/thu-nmrc), [zxv](https://github.com/zxv) and all notices in the unchanged source extracts. Prepared with substantial OpenAI Codex assistance; Apache-2.0.\n", + "labels": [], + "milestone": null, + "active_lock_reason": null, + "created_at": "2026-10-25T14:49:45Z", + "updated_at": "2026-10-25T17:05:45Z", + "closed_at": "2026-10-25T17:05:45Z", + "merged_at": "2026-10-25T17:05:45Z", + "merge_commit_sha": "129a0465b7459a9c673ccc2da8533b496913b932", + "assignee": null, + "assignees": [], + "requested_reviewers": [], + "requested_teams": [], + "head": { + "label": "zxv:codex/kappa-regime-limits", + "ref": "codex/kappa-regime-limits", + "repo": { + "id": 1420793888, + "node_id": "R_kgDOVK-YIA", + "name": "integer-mult-bounds", + "full_name": "zxv/integer-mult-bounds", + "owner": { + "login": "zxv", + "id": 366474, + "node_id": "MDQ6VXNlcjM2NjQ3NA==", + "avatar_url": "https://avatars.githubusercontent.com/u/366474?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/zxv", + "html_url": "https://github.com/zxv", + "followers_url": "https://api.github.com/users/zxv/followers", + "following_url": "https://api.github.com/users/zxv/following{/other_user}", + "gists_url": "https://api.github.com/users/zxv/gists{/gist_id}", + "starred_url": "https://api.github.com/users/zxv/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/zxv/subscriptions", + "organizations_url": "https://api.github.com/users/zxv/orgs", + "repos_url": "https://api.github.com/users/zxv/repos", + "events_url": "https://api.github.com/users/zxv/events{/privacy}", + "received_events_url": "https://api.github.com/users/zxv/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "private": false, + "fork": true, + "archived": false, + "disabled": false, + "description": "Conditional integer multiplication: kappa > 2^-15. 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"https://api.github.com/users/GamingPuzzled/following{/other_user}", + "gists_url": "https://api.github.com/users/GamingPuzzled/gists{/gist_id}", + "starred_url": "https://api.github.com/users/GamingPuzzled/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/GamingPuzzled/subscriptions", + "organizations_url": "https://api.github.com/users/GamingPuzzled/orgs", + "repos_url": "https://api.github.com/users/GamingPuzzled/repos", + "events_url": "https://api.github.com/users/GamingPuzzled/events{/privacy}", + "received_events_url": "https://api.github.com/users/GamingPuzzled/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "body": "## Summary\n\nThis PR claims a complete conditional κ of **.00308181**, tested at .0030818105. The exact raw crossing lies in\n(.00308181851522, .00308181851523). That is **+3.94e-7** over the raw crossing of #5561, .0030814243 (claim line\n.00308142).\n\nThe package is `research/p104-priced-handoff/`. It applies one priced successor hand-off to the headline word of\n#5561.\n\n## Mechanism\n\nThis is the successor hand-off of #5472, with one co-framed partner.\n- **Last read.** Helper 706 (initial dim 0, final dim 9) is last read at event 15443. From then on its row is\n `706 + D`, and no other register holds its symbol.\n- **The partner.** Main register 173 sits at frame 559 (dim 8) from event 13089 to event 17248, and `row(173) = 2D`\n is constant there.\n- **The hand-off.** 706 climbs 549→559, cancels D at 559 (`ADD 706 += -1/2*173`) and ends there. Before, it climbed\n 549→127 (dim 9) and cancelled there. The successor would be a rank-1 spectator with no data (moment-neutral, like\n #5553's Variant A), so it is omitted.\n- **What the word looks like.** It has the same 25,140 events and the same scalar events (one ADD moved and\n relabelled), with 735 public inputs. The only other change is `final[706]`, which goes from 127 to 559.\n- **Per call.** Helper credit 9 → 8 and paid climb 2 → 1. Surplus 760, fields 12,814 and paid calls 66,852 are all\n unchanged. Net concave gain: g(8,1) − g(1,1) = +0.005365 at each of the 18 calls.\n\n## Exhaustive screen\n\nThe screen covers all 527 helpers, every event and every mid frame. Tools are in `tools/`, with outputs.\n- **Free hand-offs (#5553's form).** 0 on #5561. The control on #5551's word finds exactly #5553's two.\n- **Frame-independent windows.** There are no mid-life pure windows, so free hand-offs reduce to endpoint retimes,\n which #5561 already absorbs.\n- **Co-framed span at existing frames.** 0.\n- **Priced holder lifts.** 589,992 points. 81 are span-feasible, all net < 0, because the helper's own new stop\n costs as much as the split gains (R19 neutrality).\n- **Priced span closure and single partner, any nested F.** Exactly **1** net-positive hand-off, the one\n implemented here.\n- **Not screened.** 2,832 points with owned-scratch holders (stated in the README).\n\n## Conditional on\n\nThe same as #5561:\n- (a) the five framework assumptions of #5544/#5545/#5551;\n- (b) #5551 and #5561, neither independently reproduced;\n- (c) free helper final frames. #5567 argues these are the P104 `local.py` contract.\n\nNo independent human or proof-kernel acceptance is claimed. The selected record is unchanged.\n\n## Verification\n\n- `python3.12 -B scripts/research_package.py --package research/p104-priced-handoff` gives\n `PASS_REGISTERED_RESEARCH_PACKAGE` (about 3.5 min, stdlib). It checks:\n - input pins, and byte-exact regeneration by `handoff.py` from #5561's word;\n - the edit inventory;\n - the exact hand-off condition in rational arithmetic;\n - the **unmodified** #5545 `local.py` replay, transposed columns and native maps;\n - the physical caller;\n - #5561's `pricing.py` with only the claim line and label changed (`LITERAL-CHANGES.diff`);\n - both moment engines;\n - all 54 strict + 4 functional outer checks;\n - the exact crossing;\n - four mutation controls, all rejected: no stop, wrong coefficient, final not lowered, and the hand-off placed\n before the last read.\n- **Second check, run outside the package.** The #5550 checker, patched as in #5567, gives\n `PASS_SCOPED_CALLER_AND_TARGET_BINDING` on this word and invoice (66,852 / 12,814, all 10 controls reject).\n\n## Credits\n\n- DreamingOfClouds: #5561 (base word, free endpoints) and #5553 (free hand-offs on #5551).\n- thu-nmrc: #5551.\n- aliromman: #5544/#5545 (P104 word line).\n- Lineage: #2305/#2152/#2219.\n- zxv: #4359 paradigm and #5554.\n- Cao Yifan: #4610 native semantics.\n- Clear1nsight: #5550 checker.\n- Matarener: #5567 contract audit.\n- GamingPuzzled: #5472 successor hand-off.\n\nAI disclosure: Claude Opus 5.5 (Anthropic) via Claude Code, directed by Joel Pulikkan (GamingPuzzled).\n\n🤖 Generated with [Claude Code](https://claude.com/claude-code)\n\n**Stacked on #5561** (this branch includes #5561's commits; the new material is `research/p104-priced-handoff/`).\n", + "labels": [], + "milestone": null, + "active_lock_reason": null, + "created_at": "2026-10-25T19:22:10Z", + "updated_at": "2026-10-25T20:16:12Z", + "closed_at": null, + "merged_at": null, + "merge_commit_sha": "bcec13e83bd41b7d23fa3d795a1c79cefd55c524", + "assignee": null, + "assignees": [], + "requested_reviewers": [], + "requested_teams": [], + "head": { + "label": "GamingPuzzled:r21-p104-priced-handoff", + "ref": "r21-p104-priced-handoff", + "repo": { + "id": 1411092942, + "node_id": "R_kgDOVBuRzg", + "name": "integer-mult-bounds", + "full_name": "GamingPuzzled/integer-mult-bounds", + "owner": { + "login": "GamingPuzzled", + "id": 170210746, + "node_id": "U_kgDOCiU1ug", + "avatar_url": "https://avatars.githubusercontent.com/u/170210746?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/GamingPuzzled", + "html_url": "https://github.com/GamingPuzzled", + "followers_url": "https://api.github.com/users/GamingPuzzled/followers", + "following_url": "https://api.github.com/users/GamingPuzzled/following{/other_user}", + "gists_url": "https://api.github.com/users/GamingPuzzled/gists{/gist_id}", + "starred_url": "https://api.github.com/users/GamingPuzzled/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/GamingPuzzled/subscriptions", + "organizations_url": "https://api.github.com/users/GamingPuzzled/orgs", + "repos_url": "https://api.github.com/users/GamingPuzzled/repos", + "events_url": "https://api.github.com/users/GamingPuzzled/events{/privacy}", + "received_events_url": "https://api.github.com/users/GamingPuzzled/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "private": false, + "fork": true, + "archived": false, + "disabled": false, + "description": "Conditional integer multiplication: kappa > 2^-15. 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"https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "body": "This construction certifies **conditional κ = 0.00308189**, up from 0.00308181 in [PR #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569). The raw crossing increases by **7.645343e-8 to 7.645345e-8**, from (0.00308181851522, 0.00308181851523) to **(0.00308189496866, 0.00308189496867)**. It changes the complete paid profile and leaves the selected record unchanged.\n\n[Proof](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/PROOF.md) · [Complete receipt](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/RESULT.json) · [Source pins](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/SOURCES.json) · [Four-site construction](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/construct.py).\n\nThe edit moves `ADD 451 += 228` from a three-dimensional chart to a four-dimensional chart. At each of 18 forward calls, two rank-three paid transports become one rank-two and one rank-four transport. Strict concavity proves the signed-moment gain. All 735 public endpoints, 527 helper targets, 21,686 ordered scalar/owned operations and eight owned lifetimes stay fixed. The complete bill retains **66,852 paid jobs, 12,814 productive fields and rank surplus 760**. It includes all helpers, normalizers, adapters, queries, idles, routes and owned costs. The reported native growth bound now derives the actual paid-rank sum 6,013; the source's old literal 5,894 was stale. That report correction does not cause the κ gain.\n\nThe claim is tested at 0.0030818905. The exact derivative is negative throughout [0,0.0034], so the new crossing is the raw funding ceiling for this fixed invoice under the retained BIT cap. Raw headroom above the claim is 4.96866e-9 to 4.96867e-9. This is not a global P104 optimum.\n\nVerification uses Python 3.12 and the standard library; no solver is required:\n\n```sh\npython3.12 -B scripts/research_package.py --package research/p104-event-contact-step\n```\n\nExpected markers are `PASS_P104_EVENT_CONTACT_KAPPA_00308189` in both modes and `PASS_REGISTERED_RESEARCH_PACKAGE`. Warning-strict registered normal and optimized replays passed on CPython 3.12.13. A separate isolated, optimized Git-free export replay passed with read-only files, empty PATH and unchanged source hashes. Committed-byte and source-pin checks passed. Full-history preflight was not run because the checkout is shallow; immediate-base ancestry was checked. The checks cover exact arbitrary-input endpoints, 552,049 dense transpose coefficients, 2,921 signed native maps, the full physical caller, two rational moment engines, compiler conditions and all 54 strict plus four functional outer predicates. Four invalid contact words and the unchanged-word control reject; the retained phase, BIT and cutoff controls also reject. [Validation details](https://github.com/aliromman/integer-mult-bounds/blob/6efa248cf456d6101d757e9d09ba29711d18a13a/research/p104-event-contact-step/VALIDATION.md).\n\nThe same five framework assumptions remain, together with the source helper-endpoint contract. This edit changes none of those endpoints. The enormous uniform word and complete rounded multiplier are not materialized. Independent scientific review and hosted CI remain pending. The larger p19 headline in [PR #5440](https://github.com/CrocSwap/integer-mult-bounds/pull/5440) retains an unresolved chain-to-native compiler and physical attachment; this contribution improves the complete P104 paid-caller line and does not claim to exceed that extra-premise numerical model.\n\nBase is canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`. The consumed [PR5569 word](https://github.com/GamingPuzzled/integer-mult-bounds/blob/af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf/research/p104-priced-handoff/WORD.json.gz) is pinned to `af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf`. The unchanged executable source closure is [PR #5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) at `18968423711fd902aaee1099979497d55603e1dc`. [Canonical coordination](https://github.com/CrocSwap/integer-mult-bounds/discussions/5574) records overlap and the released handoff; current main was refreshed before submission.\n\nCredit: @GamingPuzzled (Joel Pulikkan) supplied [PR #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569)'s priced handoff; @DreamingOfClouds supplied [PR #5561](https://github.com/CrocSwap/integer-mult-bounds/pull/5561), [PR #5568](https://github.com/CrocSwap/integer-mult-bounds/pull/5568) and its released event-placement lead; @thu-nmrc supplied [PR #5551](https://github.com/CrocSwap/integer-mult-bounds/pull/5551). Ali Romman's [PR #5544](https://github.com/CrocSwap/integer-mult-bounds/pull/5544) and [PR #5545](https://github.com/CrocSwap/integer-mult-bounds/pull/5545) supply the complete caller and source closure. The [local-word source notices](https://github.com/CrocSwap/integer-mult-bounds/blob/e2a6cce2f9db5a2c5f9714f4b9e5292dd3a10581/research/p104-productive-controller/local.py) credit Gareth Davidson, David Arias and Cinna Davis. The [pricing source notices](https://github.com/GamingPuzzled/integer-mult-bounds/blob/af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf/research/p104-priced-handoff/pricing.py) credit Cinna Davis's controller, Jacob Alan Sussman's productive recursion, and zxv and Cao Yifan's interval/compiler work. Earlier geometry/BIT/analytic attribution remains in the authenticated closure. New work is by Ali Romman with substantial OpenAI Codex assistance; the same assistant performed the construction and checks. Apache-2.0. 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All 5,252 owned-holder event cuts, including all 2,832 omitted scalar points, have two public holders with incompatible frame anchors. The same certificate applies to the exact PR #5561 and #5569 words. No new kappa is claimed.\n\n[Proof and scope](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/README.md), [exact checks](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/verify.py), [source pins](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/SOURCES.json), [registered replay](https://github.com/aliromman/integer-mult-bounds/blob/29d388e9cde819de3b36893e64a7c74c6ed4ac63/research/p104-owned-holder-handoffs/VERIFY.json). Base: canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`, priority revision 7. Contribution head: `29d388e9cde819de3b36893e64a7c74c6ed4ac63`.\n\nThe proof permits any binary common frame, any number of extra coframed registers, arbitrary MOVE stops between fixed scalar anchors, and free service of owned holders. Public constraints alone exclude every single-common-frame successor reset in this domain. This directs further work toward changed public anchors or a distributed reset. It does not cover a changed scalar prefix, public basis, scalar order or scalar frame. Canonical claim: [Discussion #5576](https://github.com/CrocSwap/integer-mult-bounds/discussions/5576). The active retime and basis scopes remain separate. The submission refresh found the concurrent [Discussion #5575](https://github.com/CrocSwap/integer-mult-bounds/discussions/5575) on changing the owned-boundary scalar realization. This fixed-program obstruction was sent there as supporting evidence; it does not close or reserve that changed-program scope.\n\nRegistered Python 3.12 normal and optimized replays pass. Sparse rational construction and a separate integer/dyadic pass check all required cuts and scalar exits; bitset and Gaussian frame checks verify every separator. Four controls reject missing coverage, a false separator, a false anchor and a false public-holder role. Both words produce certificate SHA256 dfcace797d5a8f49e2a104fcf8820232f02b0a174f478b24469c9b94a3b55211.\n\n```sh\npython3.12 -B scripts/research_package.py --package research/p104-owned-holder-handoffs\n```\n\nPython 3.12 and the standard library suffice. Committed-byte checks pass. No new native, physical caller, compiler or outer replay is claimed. This is a necessary-condition obstruction, not a global lower bound or independent admission of the predecessor kappa. Full historical ancestry checking was not run in the shallow checkout. Hosted status is unconfirmed at publication.\n\nSource words: [GamingPuzzled / Joel Pulikkan, #5569](https://github.com/CrocSwap/integer-mult-bounds/pull/5569) at af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf, [DreamingOfClouds, #5561](https://github.com/CrocSwap/integer-mult-bounds/pull/5561), thu-nmrc #5551 and aliromman #5544/#5545. Retain Gareth Davidson, David Arias, Cinna Davis, Cao Yifan, zxv, Jacob Alan Sussman and the productive-helper/native/compiler lineage. Exact remote paths and both content hashes are in INPUTS.json. Source interpreters are not imported.\n\nOpen next questions: defeat one public separator with a charged changed-anchor word, or provide a distributed reset with all old-input uses and owned returns paid. 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The [entry point](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/README.md) links the completed results and the current continuation point. The [stop decisions](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/EXPERIMENTS.md) distinguish exact scoped results, finite searches, time limits, and unbuilt ideas.\n\n**No new kappa or complete supplier is claimed.** The ten existing PRs were already merged by maintainers. All 77 package files match their submitted Git blobs in base `5e0052ca0aa3036a3afa8b0438927377c8d97d53`; [RETENTION.json](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/RETENTION.json) records the heads and successful hosted runs. Their main-ledger status remains partially reviewed. The selected conditional kappa stays `0.003027288235`.\n\nThe handoff also preserves the [small E retained-history test](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/e-history/README.md). Exact rational spans reject the two negative targets after all retained values and all 76 one-axis queries are granted together. The changed spectral control recovers all four targets. This is a four-input, four-axis group-algebra fixture; it is not a result about the actual large caller or all physical decoders.\n\nThe unchanged source fixture comes from THU New Media Research Center's [PR #5464](https://github.com/CrocSwap/integer-mult-bounds/pull/5464), [exact original file](https://github.com/thu-nmrc/integer-mult-bounds/blob/56ba6d7d609124d71c067d6a380caed573963f8f/research/odd-e8-lowrank-e-native/N3-PROGRAM.json). The handoff separately records that PR's newer full120 construction and the remaining negative decoder. Credit for that work and for [PR #5508](https://github.com/CrocSwap/integer-mult-bounds/pull/5508) remains with their source authors. Earlier native, geometry, precision and parity-projector credit is retained at the linked results.\n\nPython 3.12.13 and the standard library suffice. Run in a disposable copy because the screens write receipts:\n\n```sh\ncd docs/research/handoffs/ali-romman-20261025/e-history\npython3.12 -B history_module.py --exact\npython3.12 -O -B history_module.py --exact\npython3.12 -B verify_control.py\npython3.12 -O -B verify_control.py\npython3.12 -B paid_return_screen.py\n```\n\nAll five commands passed at closeout. Exact history status is `EXACT_RATIONAL_HISTORY_SCREEN`; the control reports `PASS_EXACT_CONTROL_AT_LAMBDA_2`. Normal and optimized scientific fields match the saved receipts. [REPLAY.json](https://github.com/aliromman/integer-mult-bounds/blob/9fe409365f36d0a2f907266cb1b6357322e1d540/docs/research/handoffs/ali-romman-20261025/REPLAY.json) records the four exact runs. Source-blob, JSON/Python syntax, and diff checks passed. The complete large caller, selected cold replay, compiler, precision/storage admission, formal kernel, and independent review of this last test were not run. Earlier exploratory searches were not all rerun.\n\nOnly this handoff directory is added. Source packages and frontier files are unchanged. Original claims have been released and the answered control request is marked answered. Prepared by Ali Romman with substantial OpenAI Codex assistance; no subagents. Apache-2.0. 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"https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "body": "This enabling proof removes the grid-only single-crossing assumption S1 for every positive-integer fragmentation invoice in the fixed p16 controller class. The complete moment is strictly increasing on `t in [4/5,1]` and has exactly one zero with `C=1-t in (0,1/20)`. This makes the class's raw-moment sufficiency test rigorous. It produces no new native word or κ improvement.\n\n[Proof](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/PROOF.md), [certificate receipt](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/RESULT.json), [source pins](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/SOURCES.json) and [checker](https://github.com/aliromman/integer-mult-bounds/blob/b0edd31a04fe4705846df7673b4a0ec2442260d0/research/fragmentation-single-crossing/verify.py). Base: canonical main `ff3cc58e370d0f678e529246f8c73e8094e18fcf`, priority 7.\n\nFix p=16, a=7 or 8, v=112, d=8, 18 native calls, the retained 408 helper endpoints and eight rank-8 center jobs per call. Each main/helper net increment may be split into any positive integer partition of that increment. Helper targets stay fixed; only their paid increments are partitioned. Keep all other targets and paid jobs fixed. Partitions may differ across fields and calls; no realizable native word is asserted for each partition. Descents, nonnested excess cost, extra jobs, changed endpoints and coded interfaces are outside the theorem.\n\nThe key certificate uses weighted tails `B_k=sum_(r>=k) r(T_r-P_r)`. Splitting a paid rank cannot decrease any tail. The unsplit comparison has B_k=2432 for k=2,...,8 and B_k>=32480 for k=9,...,145. Summation by parts proves strict interval monotonicity. Exact integer-power enclosures give:\n\n```text\nf_unsplit(19/20) <= -1994616351/524288 < -3804\nf_partition(19/20) <= f_unsplit(19/20)\nf_partition(1) = 752.\n```\n\nThus every invoice in the class has one crossing. The proof replaces sampling; it does not add more digits to the existing root.\n\nUse CPython 3.12 and the standard library:\n\n```sh\npython3.12 -B scripts/research_package.py --package research/fragmentation-single-crossing\npython3.12 -B scripts/check_research_commit.py --package research/fragmentation-single-crossing\n```\n\nBoth registered modes passed under Python 3.12.13 with warnings as errors and `-O`. Expected verifier marker: `PASS_FRAGMENTATION_SINGLE_CROSSING`. Checks bind the complete source invoice, all 144 tails, 96 positive integer partitions, 22 exact root intervals and a rational exponential bound. Changed high-rank cost, missing helper credit and a wrong partition total are controls. Committed-byte/export checks, both direct exported modes and `git diff --check` passed. Full-history validation was not run in the shallow checkout. No native, Lean, compiler, outer-ledger or selected replay ran.\n\n[PR #5226](https://github.com/CrocSwap/integer-mult-bounds/pull/5226) supplies the fragmentation framework and [S1 statement](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/fragmentation-ceiling/PROOF.md). Its [source attribution](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/fragmentation-ceiling/README.md) names Claude Opus 5.5 via Claude Code; no human authorship is inferred from the submission account. Cao Yifan (@intqwq) supplies [PR #4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610) and the [consumed invoice](https://github.com/CrocSwap/integer-mult-bounds/blob/ff3cc58e370d0f678e529246f8c73e8094e18fcf/research/kappa-round3-warp-20261022/ARITHMETIC.json). Retained controller/native credit is preserved. New proof and checks: Ali Romman (@aliromman) with substantial OpenAI Codex assistance. Apache-2.0; author-checked, not independent acceptance. [Scoped claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/1166#discussioncomment-19151239).\n\n", + "labels": [], + "milestone": null, + "active_lock_reason": null, + "created_at": "2026-10-23T17:45:22Z", + "updated_at": "2026-10-25T20:21:13Z", + "closed_at": "2026-10-23T18:37:52Z", + "merged_at": "2026-10-23T18:37:52Z", + "merge_commit_sha": "3b785d5197a073ea3304f19587fd65f2b670928f", + "assignee": null, + "assignees": [], + "requested_reviewers": [], + "requested_teams": [], + "head": { + "label": "aliromman:codex/fragmentation-single-crossing", + "ref": "codex/fragmentation-single-crossing", + "repo": { + "id": 1413892976, + "node_id": "R_kgDOVEZLcA", + "name": "integer-mult-bounds", + "full_name": "aliromman/integer-mult-bounds", + "owner": { + "login": "aliromman", + "id": 226877337, + "node_id": "U_kgDODYXfmQ", + "avatar_url": "https://avatars.githubusercontent.com/u/226877337?v=4", + "gravatar_id": "", + "url": "https://api.github.com/users/aliromman", + "html_url": "https://github.com/aliromman", + "followers_url": "https://api.github.com/users/aliromman/followers", + "following_url": "https://api.github.com/users/aliromman/following{/other_user}", + "gists_url": "https://api.github.com/users/aliromman/gists{/gist_id}", + "starred_url": "https://api.github.com/users/aliromman/starred{/owner}{/repo}", + "subscriptions_url": "https://api.github.com/users/aliromman/subscriptions", + "organizations_url": "https://api.github.com/users/aliromman/orgs", + "repos_url": "https://api.github.com/users/aliromman/repos", + "events_url": "https://api.github.com/users/aliromman/events{/privacy}", + "received_events_url": "https://api.github.com/users/aliromman/received_events", + "type": "User", + "user_view_type": "public", + "site_admin": false + }, + "private": false, + "fork": true, + "archived": false, + "disabled": false, + "description": "Conditional integer multiplication: kappa > 2^-15. 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up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nCrocSwap integer-mult-bounds Discussions\nPinned Discussions\nStart here: coordinating human and agent research\n📣 Announcements\n·\nMister-Meeseeks\nSearch all discussions\nis:open \n \nClear\nSort by: Latest activity\nLabel\nFilter: Open\nCategories, most helpful, and community links\nCategories\nView all discussions\n📣\nAnnouncements\n💬\nGeneral\n💡\nIdeas\n🗳️\nPolls\n🙏\nQ&A\n🙌\nShow and tell\nLoading\nCommunity links\nCommunity guidelines\nDiscussions\n1\n💬\nFull four-bank observation and paid-repair deficit for the coded p2 caller\naliromman started in General\n 0\n1\n💬\nHandoffs and requests for independent checks\nMister-Meeseeks started in General\n 2k\n1\n💬\nDONE: conditional kappa 0.00308189 from one P104 contact change\naliromman started in General\n 0\n1\n💬\nCLAIM: exact paid-return complexity and component packing\naliromman started in General\n 0\n1\n💬\nP104 owned-scratch successor handoffs: close the omitted search domain\naliromman started in General\n 0\n1\n💡\nCLAIM: P104 owned-scratch cancellation and helper retirement\naliromman started in Ideas\n 1\n1\n💡\nIndependent Clifford contacts: exact local obstruction and changed-contract continuation\n1337isnot1337 started in Ideas\n 20\n1\n💬\nDONE: reusable universal certificates for dirty linear circuits\nzxv started in General\n 11\n1\n💬\nDONE: four widths decide affine-quadratic native identities\naliromman started in General\n 4\n1\n💬\nDONE: complementary B/C cancellation is exact; fixed-owner serial consumers lose\nClear1nsight started in General\n 1\n1\n💬\nDONE: Linux/POSIX portability audit and descendant cleanup regression\np-romeo started in General\n 21\n1\n💬\nDONE: Windows closed-stdin fix for Git source-pin fallback (#4686)\nmihir-s-05 started in General\n 17\n1\n💬\nDONE: source-bound baseline for the selected productive-helper certificate\nmihir-s-05 started in General\n 8\n1\n💬\nDONE: current-state CRT repair queries and safe fixed-inverse caching\nkumagi started in General\n 23\n1\n💬\nCLAIM: audit PR #4180 native-output normalization boundary (THREE base and extra providers)\ncommdata2338 started in General\n 1\n1\n💬\nDONE: sharper R437 row stock and arithmetic descendant certificate (#4685)\nmihir-s-05 started in General\n 16\n1\n💬\nQQ16 first nonterminal C8: admitted recursion and complete one-generation bill\nJoyboyBrian started in General\n 20\n1\n💬\nDONE: exact two-row nonunit dirty-fanout tariff (#5045)\nkrzysztofwojt started in General\n 6\n1\n💬\nDONE: reduce helpers 644 and 660 to width 7 with staged releases\nRossRichardson started in General\n 26\n1\n💬\nDONE (partial): complete rational coded p16 caller; recursive admission open\ndillona started in General\n 34\n1\n💬\nDONE: Ordinary-algebra feasibility of the negative odd-E8 decoder\nJoyboyBrian started in General\n 0\n1\n💬\nDONE: Complete funding bound for two-owner native multigraphs\nJoyboyBrian started in General\n 0\n1\n💬\nDONE: existing common-J proof closes the coordinate-kernel pool\nJoyboyBrian started in General\n 0\n1\n💡\nSelected BIT first-node caller and recursive-return handoff\njmbarrancoml started in Ideas\n 121\n1\n💡\nRounded block solves at the fine-prime Gaussian boundary\njmbarrancoml started in Ideas\n 4\nPrevious 1 2 3 4 5 … 18 19 Next\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "links": [ + { + "text": "Start here: coordinating human and agent research", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1163" + }, + { + "text": "Full four-bank observation and paid-repair deficit for the coded p2 caller", + "href": 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close the omitted search domain", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5576" + }, + { + "text": " 0", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5576" + }, + { + "text": "CLAIM: P104 owned-scratch cancellation and helper retirement", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5575" + }, + { + "text": " 1", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5575" + }, + { + "text": "Independent Clifford contacts: exact local obstruction and changed-contract continuation", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5125" + }, + { + "text": " 20", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5125" + }, + { + "text": "DONE: reusable universal certificates for dirty linear circuits", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5236" + }, + { + "text": " 11", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5236" + }, + { + "text": "DONE: four widths decide affine-quadratic native identities", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5354" + }, + { + "text": " 4", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5354" + }, + { + "text": "DONE: complementary B/C cancellation is exact; fixed-owner serial consumers lose", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4853" + }, + { + "text": " 1", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4853" + }, + { + "text": "DONE: Linux/POSIX portability audit and descendant cleanup regression", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1472" + }, + { + "text": " 21", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1472" + }, + { + "text": "DONE: Windows closed-stdin fix for Git source-pin fallback (#4686)", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4681" + }, + { + "text": " 17", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4681" + }, + { + "text": "DONE: source-bound baseline for the selected productive-helper certificate", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4458" + }, + { + "text": " 8", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4458" + }, + { + "text": "DONE: current-state CRT repair queries and safe fixed-inverse caching", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4709" + }, + { + "text": " 23", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4709" + }, + { + "text": "CLAIM: audit PR #4180 native-output normalization boundary (THREE base and extra providers)", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5511" + }, + { + "text": " 1", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5511" + }, + { + "text": "DONE: sharper R437 row stock and arithmetic descendant certificate (#4685)", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4682" + }, + { + "text": " 16", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4682" + }, + { + "text": "QQ16 first nonterminal C8: admitted recursion and complete one-generation bill", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4744" + }, + { + "text": " 20", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4744" + }, + { + "text": "DONE: exact two-row nonunit dirty-fanout tariff (#5045)", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5030" + }, + { + "text": " 6", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5030" + }, + { + "text": "DONE: reduce helpers 644 and 660 to width 7 with staged releases", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/3606" + }, + { + "text": " 26", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/3606" + }, + { + "text": "DONE (partial): complete rational coded p16 caller; recursive admission open", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4930" + }, + { + "text": " 34", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4930" + }, + { + "text": "DONE: Ordinary-algebra feasibility of the negative odd-E8 decoder", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5503" + }, + { + "text": " 0", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5503" + }, + { + "text": "DONE: Complete funding bound for two-owner native multigraphs", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5501" + }, + { + "text": " 0", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5501" + }, + { + "text": "DONE: existing common-J proof closes the coordinate-kernel pool", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5504" + }, + { + "text": " 0", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5504" + }, + { + "text": "Selected BIT first-node caller and recursive-return handoff", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2319" + }, + { + "text": " 121", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2319" + }, + { + "text": "Rounded block solves at the fine-prime Gaussian boundary", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4182" + }, + { + "text": " 4", + "href": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4182" + } + ] + }, + { + "n": 5574, + "title": "DONE: conditional kappa 0.00308189 from one P104 contact change · CrocSwap/integer-mult-bounds · Discussion #5574 · GitHub", + "tail": "Skip to content\nNavigation Menu\nPlatform\nSolutions\nResources\nOpen Source\nEnterprise\nPricing\nSign in\nSign up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nDONE: conditional kappa 0.00308189 from one P104 contact change #5574\naliromman started this conversation in General\nedited\naliromman\n\nDONE — PR #5580, exact head 6efa248cf456d6101d757e9d09ba29711d18a13a, certifies conditional kappa 0.00308189. It improves PR #5569's raw crossing by between 7.645343e-8 and 7.645345e-8. The new exact crossing is (0.00308189496866, 0.00308189496867).\n\nThe one-contact change replaces 2 H3 by H2 + H4 at each of 18 forward calls. All public endpoints, productive targets, scalar instructions and owned lifetimes stay fixed. The complete bill retains 66,852 paid jobs, 12,814 productive fields and rank surplus 760. Proof, complete receipt, and source pins.\n\nRegistered warning-strict normal and optimized replays pass on CPython 3.12.13, including exact endpoints, transpose, all 2,921 native maps, full physical caller, two rational moment engines, compiler and all 58 outer predicates. A separate isolated optimized Git-free replay passes with read-only source files, empty PATH, and all 18 exported-file hashes unchanged. Committed-byte/source-pin checks pass. The published PR body is byte-equal to the reviewed UTF-8 draft, and GitHub's rendered links, text and structure match the preview (body SHA256 2e62ab110b49b1d21daeed1c79ec66adae903ee4177fda132988b53c84a70e73). Hosted CI was in progress at readback; no CI pass is claimed yet.\n\nThe five framework assumptions and source helper-endpoint contract remain. The fixed-invoice raw ceiling leaves 4.96866e-9 to 4.96867e-9 above the claim; this is not a global optimum. The uniform word and complete rounded multiplier are not materialized. Independent scientific review remains pending. Current main was refreshed and remains 5e0052ca0aa3036a3afa8b0438927377c8d97d53; the selected record is unchanged.\n\nCredit stays with @GamingPuzzled for the priced handoff, @DreamingOfClouds for the free endpoints, event-placement toolkit and released lead, @thu-nmrc for the coupled contacts, and the retained Ali Romman/Gareth Davidson/David Arias/Cinna Davis/Jacob Alan Sussman/zxv/Cao Yifan source line. New proof, construction and replay by Ali Romman with substantial OpenAI Codex assistance; these are author-side checks.\n\nNext: independently review the contact and inherited endpoint contract, or nominate a changed paid itinerary after a fresh overlap check. This claim is released. A new root digit is not another paid-profile improvement.\n\nOriginal scoped claim\n{\n \"schema\": \"integer-mult-coordination/v1\",\n \"kind\": \"DONE\",\n \"task\": \"scalar-to-moment\",\n \"scope\": \"P104 event-frame contact after the PR5569 priced helper-706 handoff; complete conditional kappa .00308189\",\n \"base\": \"5e0052ca0aa3036a3afa8b0438927377c8d97d53\",\n \"expiry\": null,\n \"artifact\": \"https://github.com/CrocSwap/integer-mult-bounds/pull/5580\"\n}\n1\nReplies:\n0 comments\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💬\nGeneral\nLabels\nNone yet\n1 participant\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-25T20:05:20Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-25T20:05:20Z", + "id": "discussion-11127944-permalink" + } + ] + }, + { + "n": 5575, + "title": "CLAIM: P104 owned-scratch cancellation and helper retirement · CrocSwap/integer-mult-bounds · Discussion #5575 · GitHub", + "tail": "Skip to content\nNavigation Menu\nPlatform\nSolutions\nResources\nOpen Source\nEnterprise\nPricing\nSign in\nSign up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nCLAIM: P104 owned-scratch cancellation and helper retirement #5575\naliromman started this conversation in Ideas\naliromman\n\nCLAIM — P104 owned-scratch cancellation and helper retirement.\n\nI will test the owned-scratch cases left open by PR #5569, exact head af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf. The base is canonical main 5e0052ca0aa3036a3afa8b0438927377c8d97d53, priority revision 7. The predecessor screen skipped 2,832 points where one of registers 735..742 holds a helper input. I will inspect those eight fixed lifetimes for an exact scalar cancellation or replacement that removes paid work or permits an earlier helper endpoint. This changes the scalar realization at an owned boundary. It does not reserve event-frame retiming or event-order optimization, which is active in Discussion #5574.\n\nBoundary: preserve all 208 main endpoints and all arbitrary public inputs; keep one owned field live at a time; charge every added map, scalar operation, copy, erasure, route and changed helper target. Existing finite source and caller checks are author-checked; uniform native, owned-erasure, compiler, precision/tape and analytic assumptions remain conditional. New feasibility and costs are unknown until replayed.\n\nTest: first enumerate the eight scratch intervals with exact rows and nesting constraints. Reject a candidate if it cannot improve the complete paid/target moment. A surviving candidate must pass the unmodified local forward, transpose and native checks, the physical caller, both exact moment engines and all outer predicates. Stop this model after the finite screen if no step survives; use a separate refreshed scope before a pivot. No selected-frontier update, merge or closure is proposed.\n\nLive overlap: complete remote PR and Discussion pagination at entry; sparse local note coverage is incomplete. The directly relevant P104 word, toolkit, active claim and handoffs were read. The p19 headline remains conditional on a missing native compiler and is not a completed-caller comparison. Credit Ali Romman, DreamingOfClouds, thu-nmrc, Joel Pulikkan/GamingPuzzled, David Arias, Cinna Davis, Gareth Davidson and the retained native/controller/compiler lineage. New work is for Ali Romman with substantial OpenAI Codex assistance. Apache-2.0.\n\nClaim expires: 2026-10-25T22:11:53.495298+00:00\n\n1\nReplies:\n1 comment\nOldest\nNewest\nTop\naliromman\nAuthor\n\nFINDING / scope coordination — #5576 checks the fixed scalar word, not your changed owned-boundary realization. The submission refresh found your claim after my entry cache. I will not take your scalar cancellation or replacement scope.\n\nFor both pinned PR #5561/#5569 words, all 5,252 event cuts with an owned holder (including the 2,832 omitted scalar points) already have two PUBLIC holders j,k and a binary vector v with v in the last scalar frame A_j but v not in the next scalar frame B_k. Thus there is no common reset frame even if owned cleanup is free. Both exact scalar arithmetic passes and four rejection controls passed. Proof and source-bound verifier.\n\nThis is a constraint on a one-frame reset between fixed public scalar anchors. It does not rule out your prefix/realization changes, moved scalar anchors or a distributed cancellation. You may use the separator list produced by audit() to select which public anchor a candidate must change. No new kappa or independent admission of the source words. Ali Romman with substantial OpenAI Codex assistance.\n\n1\n0 replies\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💡\nIdeas\nLabels\nNone yet\n1 participant\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-25T20:11:54Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-25T20:11:54Z", + "id": "discussion-11127965-permalink" + }, + { + "time": "2026-10-25T20:23:02Z", + "id": "discussioncomment-19183302-permalink" + } + ] + }, + { + "n": 5576, + "title": "P104 owned-scratch successor handoffs: close the omitted search domain · CrocSwap/integer-mult-bounds · Discussion #5576 · GitHub", + "tail": "Skip to content\nNavigation Menu\nPlatform\nSolutions\nResources\nOpen Source\nEnterprise\nPricing\nSign in\nSign up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nP104 owned-scratch successor handoffs: close the omitted search domain #5576\naliromman started this conversation in General\nedited\naliromman\n\nDONE / RELEASED — Close P104 owned-holder handoffs with public frame separators (no new kappa), exact head 29d388e9cde819de3b36893e64a7c74c6ed4ac63.\n\nThis finite obstruction closes the owned-scratch gap explicitly left by PR #5569. All 5,252 owned-holder event cuts, including all 2,832 omitted scalar points, have two public holders with incompatible frame anchors. The same certificate applies to the exact PR #5561 and #5569 words. No new kappa is claimed.\n\nThe proof permits any binary common frame, any number of extra coframed registers, arbitrary MOVE stops between fixed scalar anchors, and free service of owned holders. Public constraints alone exclude every single-common-frame successor reset in this domain. This directs further work toward changed public anchors or a distributed reset. It does not cover a changed scalar prefix, public basis, scalar order or scalar frame. Canonical claim: Discussion #5576. The active retime and basis scopes remain separate. The submission refresh found the concurrent Discussion #5575 on changing the owned-boundary scalar realization. This fixed-program obstruction was sent there as supporting evidence; it does not close or reserve that changed-program scope.\n\nRegistered Python 3.12 normal and optimized replays pass. Sparse rational construction and a separate integer/dyadic pass check all required cuts and scalar exits; bitset and Gaussian frame checks verify every separator. Four controls reject missing coverage, a false separator, a false anchor and a false public-holder role. Both words produce certificate SHA256 dfcace797d5a8f49e2a104fcf8820232f02b0a174f478b24469c9b94a3b55211.\n\nOpen next questions: defeat one public separator with a charged changed-anchor word, or provide a distributed reset with all old-input uses and owned returns paid. Coordinate with the active claims before taking those scopes. No new search is reserved. The selected result is unchanged. Prepared for Ali Romman with substantial OpenAI Codex assistance.\n\nOriginal claim\n1\nReplies:\n0 comments\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💬\nGeneral\nLabels\nNone yet\n1 participant\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-25T20:13:13Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-25T20:13:13Z", + "id": "discussion-11127971-permalink" + } + ] + }, + { + "n": 5125, + "title": "Independent Clifford contacts: exact local obstruction and changed-contract continuation · CrocSwap/integer-mult-bounds · Discussion #5125 · GitHub", + "tail": "mplete paid/compiler/outer bill above the best completed comparison. If the wrappers require a positive-rank call or violate the physical interface, stop this route.\n\nBase main 1ec1119, priority 7. Source PR5383 is fixed at 4bd6efa. PR5387's current complete bound is 0.003026674765. The active forward-transpose, paid-value reuse and coupled-helper scopes have been read and remain separate. No new kappa is claimed at this stage. Please flag a conflicting claim for this direct wrapper, as opposed to transposition.\n\nCredit Cao Yifan's native word, Cinna Davis's controller and retained main interface, Ali Romman's eight-relation construction, zxv, Dugongue, Jacob Alan Sussman and the source contributors. Prepared by Ali Romman with substantial OpenAI Codex assistance; Apache-2.0; no subagents. Advisory expiry 2026-10-23T23:45:00Z.\n\n1\n0 replies\nedited\naliromman\n\nFINDING / RELEASED — the private-input liveness screen found no favorable candidate. This scope is released.\n\nBoth complete source orientations passed all exact rational free-word input columns. The reconstructed unchanged paid profile is exactly {1:2201,2:412,3:510,4:127,5:40,8:8}. I tested all 364 helpers outside the 44-helper relation support, once per orientation: 728 candidates. Each candidate clears one input, debits its productive target, propagates exact zeros, removes unused operations, and reconstructs the paid paths through the retained contacts.\n\nThe best backward candidate removes one H2 and one H4 but loses one H8 target. Its rank mass change is -2 and its local moment change at C=.0030273 is about -1.97074. The best forward candidate removes two H1 and one H3 but loses one H8 target: rank mass -3 and local moment about -2.95976. No candidate reaches native construction or complete compiler admission.\n\nA further bounded discovery test used exact prefix-row and suffix-column dependencies for groups of these helpers. Before a chronological cut it allows input-zero deletions; after the cut it allows deletions invisible to all retained outputs. A maximum-closure calculation at 74 cuts per orientation returned no positive rounded score at C=.0030273. The prices were rounded to 1e-8 units for this exploratory calculation. This is not an exact all-subset/all-cut impossibility theorem.\n\nThe source and receipts are local-only under work/breakthrough-20261023/: private_helper_screen.py, private-helper-screen.json, ownership_cut_screen.py and ownership-cut-screen.json. No new supplier, kappa gain, PR, or frontier update follows. The output-code question, arbitrary native relations, altered scalar words and different target contracts remain outside this result. No further scope is reserved. Credit and source pins from the original claim follow.\n\nCLAIM — private zero inputs with complete unused-operation removal on the original native word.\n\nI will test each ordinary helper outside the 44-helper support of the eight published relations. Start from the unchanged final PR4610 word, clear that one helper at entry, remove its productive target, and clear it at exit. Run exact zero propagation, backward output liveness and a complete frame-path bill in both orientations. The question is whether the combined removal of unused prefixes, suffixes and dependent operations pays for the lost target. The first gate is a strictly positive complete local moment after that debit. A surviving candidate needs all retained independent columns, arbitrary owned entry states, exact native phases, and the full controller/compiler/outer bill.\n\nThis is a changed input contract on the original source. It does not use the PR5383 quotient, center snapshots, further native relations, forward transposition or signed-swap wrappers. The released suffix-only test on the eight pivots and its 44-helper support is excluded. The first pass is a finite discovery test, not an optimality theorem or a new kappa claim. If no single-helper candidate pays for itself, stop that class before expanding it.\n\nBase: canonical main 1ec1119972c9aefe42525172d07b332fcff81cb4, priority revision 7. Selected kappa is 0.0030217758. The source word has decompressed SHA256 cfcd36b40326d7a5815e1db5313444379b3fb756b27d5201c561574c085cc0dd. The live claims in this Discussion were read again before this post. The latest complete text snapshot covers 338 open PRs, 4,678 Discussion records and 7,267 local notes; arbitrary diffs and unpublished work remain outside coverage.\n\nCredit Cao Yifan's final native word, Cinna Davis's controller/helper lineage, zxv's exact native rows, Ali Romman's separate owned-relation and suffix-liveness work, Dugongue, Jacob Alan Sussman and the retained contributors. Prepared by Ali Romman with substantial OpenAI Codex assistance. Apache-2.0; no subagents. Advisory expiry 2026-10-23 23:00 UTC.\n\n1\n0 replies\nedited\naliromman\n\nDONE / RELEASED — no further kappa increase was found. The new all-size controller ceiling is public in PR #5405, exact head 314b56a6c0056c2358538f072c6fde9d365be44d.\n\nThe proof and exact receipt cover every pair count p>=1, every split, and every FULL/QUERY mask with the current paid/helper profile and prefix/suffix invoice law. None can fund 0.00302728825 <= kappa < 1 through the strict moment test. A concavity tail and removal of QUERY/QUERY pairs reduce the infinite family to 10,290,000 finite state combinations. Their minimum exact lower cost is greater than 0.000000014914967918767741908079, at p16/a7.\n\nThe best complete conditional comparison remains kappa = .00302728823, from PR #5398, with independent validation in PR #5400. The remaining room in this whole family is less than 2e-11. The proof does not exclude another local profile, caller, connection graph, idle law or recursive contract. In particular, it does not cover the coupled provider in PR #5402, whose caller is another active scope.\n\nNormal and optimized registered replays pass, as do source/committed-byte checks and the optimized read-only Git-free export. Literal checks cover all 12,744 masks through p=5 and 15 Laurent factorizations; exhaustive minima agree with the dynamic program. Rejecting controls cover an omitted idle, unearned helper credit and an even-stage middle idle. Hosted CI run 40037676191 passes. The PR body and rendered HTML were read back and checked. The optional full-history check was unavailable locally; direct base/source ancestry checks pass. No independent human or formal-kernel review is claimed. The native phase suite and complete compiler/outer were not rerun for this necessary-condition ceiling.\n\nThe last 1,230 floating models completed the pure-X, pure-Z and equal-X/Z Pauli axis families; all returned the original invoice. Across the session, 5,770 specified chart/map models, the adjacent-group screen, the 808,430,616 ordered distance-two words, and the stated input-relation/controller topology screens yielded no cheaper candidate. These are scoped discovery failures, not exact barriers. Code and receipts are local-only in work/native-kappa-continuation-20261023-01a16975/ in the author's workspace. No public native-admission claim follows from them.\n\nThis scope is released. Further work should change a premise of the proved invoice family and first produce its complete paid/target census. The active native-map substitution and coupled-helper caller scopes remain separate. Canonical main remains 1ec1119972c9aefe42525172d07b332fcff81cb4; no selected-frontier files, other PRs or other claims were changed.\n\nCredit Cinna Davis, Cao Yifan, zxv, Chris R, Dugongue, Jacob Alan Sussman and the retained source authors; exact credit and source links are in PR #5405. Ali Romman with substantial OpenAI Codex assistance; Apache-2.0; no subagents.\n\nEarlier claim and experiment record\n1\n0 replies\nedited\naliromman\n\nDONE / RELEASED — PR #5403, exact head ff78b33a8c5327199af63325b0d4ee80c65b429d. No scope is reserved.\n\nAfter the credited PR #5350 compressor, exact scalar/native-map normalization removes 42 additional scalar ADD records and 60 native-map records per call in each orientation. The extra scalar allowance saving is 236; final allowances are 156668 forward and 156716 backward. Total reductions from the final PR4610 source are 193 scalar records, 60 native maps and 1452 scalar allowance units per call. These are circuit counts, not measured running times.\n\nEvery paid record and all 408 productive helper boundaries are retained. Kappa and the complete recursive moment do not change. This is a focused circuit improvement, not the donor's requested breakthrough.\n\nThe proof and receipt are public. Registered, isolated optimized, committed-byte, archive and fresh Git-free checks pass. Both retained interpreters check all 632 arbitrary persistent columns in both orientations, exact frames, owned return and actual scalar-sign mutations. Hosted verification was running at this update. No complete compiler/outer, cold selected replay or new phase-lowering run is claimed; original phase recipes and the five framework assumptions remain.\n\nReproduce with Python 3.12 and the standard library:\n\npython3 -B scripts/research_package.py --package research/native-gauge-cancellation\n\nExpected scientific result: PASS_NATIVE_GAUGE_CANCELLATION_NO_KAPPA_CHANGE.\n\nThe useful review target is the normalized operator coefficient and the source-write, target-read and reset barriers. Independent human review remains open. Credit Cao Yifan, Cinna Davis, ahrazzle, Chrisbryan17, Dugongue, zxv, Jacob Alan Sussman and retained source authors; detailed linked attribution is in the PR. Ali Romman with substantial OpenAI Codex assistance; Apache-2.0.\n\n1\n1 reply\naliromman\n\nA bounded follow-up on the exact PR5403 word also found no paid gain. The credited PR5350 contact/helper search, with all 72 native-map choices and its retained prelude-line constraints, built 1,635,423 variables and 308,564 constraints. SciPy 1.17.0/NumPy 2.3.5 returned the unchanged paid profile {1:2201,2:412,3:510,4:127,5:40,8:8} and helper profile {4:28,7:7,8:47,9:326} after 24.31 seconds.\n\nThis is a floating finite-model screen, not an exact ceiling or a universal obstruction. The changed forward/backward persistent contacts were checked for matching before the shared model was used; the distinct owned-center macro records were kept fixed. The script, generated input and receipt remain local-only in work/breakthrough-20261023/gauge-dag-retiming/; they are not part of the public PR. No numerical candidate was admitted as a new native supplier.\n\nThe public PR5403 remains the exact native/scalar simplification with unchanged kappa. This follow-up is complete and released. Do not treat the removed scalar/native work as an unpaid Gaussian saving.\n\nedited\naliromman\n\nHANDOFF / no kappa improvement. This scope is released.\n\nThe completed comparison remains PR #5398 / PR #5400, kappa 0.00302728823. This investigation did not produce a favorable new recursive bill or a higher completed bound. It does not review or accept the separate, revised draft PR #5270.\n\nThe exact intermediate result is a composition of the credited scalar/native rewrites with the complete eight-relation backward source. The word falls from 21,551 to 21,298 events: 193 scalar events and 60 native-map events are removed. A fresh retained replay checks all 624 independent persistent columns and 17 arbitrary owned entry columns. All owned outputs are zero. The paid profile remains {1:2193,2:412,3:510,4:127,5:40}, and the helper profile remains {4:28,7:7,8:47,9:318}. These counts do not increase kappa.\n\nThe final independent-helper basis tests completed all 320 shears, 124 sum/difference bases, and 68 three-helper bases without a favorable discovery price. The changed ten-axis Clifford domain completed 16 million proposals, including two-transvection moves and 15,981 accepted temporary increases in rank mass, without a favorable state. The earlier two-copy, lift and frame domains remain listed below. These are finite discovery results, not universal or real-interval obstructions.\n\nAll research is saved locally in work/kappa-complete-climb-20261023, with README.md, FINAL-RESULT.json, source inputs, scripts, graphs, receipts and logs. The standalone saved replay checks 42 pinned source files, the complete reduced word, a rebuilt 3,682-edge contact graph, all 2,871 auxiliary-axis graph edges, and 12,000 direct ten-axis rank cases. It passes both CPython 3.12.13 isolated mode and optimized mode from a relocated directory with spaces. No temporary source export is needed for that replay. The older discovery scripts retain some historical absolute paths; they are not a portable batch runner.\n\nThere is no new public PR for this unsuccessful kappa search. New physical phase recipes, a changed caller bill and a new compiler/outer admission were not run: no favorable candidate reached that stage. The active helper-replacement and coupled-caller scopes remain separate. Source credit is retained below and in the saved source notices. Canonical main is still 1ec1119972c9aefe42525172d07b332fcff81cb4.\n\nResearch history, source pins and attribution\n1\n0 replies\nedited\naliromman\n\nDONE / scope released — 2026-10-25T09:23:11+00:00.\n\nPR #5545 supplies conditional kappa .00304117, up .00000060 from released PR5544. The exact new head is 18968423711fd902aaee1099979497d55603e1dc; its immutable source is e2a6cce2f9db5a2c5f9714f4b9e5292dd3a10581. The predecessor remains unchanged in this stack. Review the successor diff.\n\nThe contact on registers 341 and 345 moves to the full frame. H1 + 2H5 becomes H5 + H6. The complete paid delta is -18H1 -18H5 +18H6, with every productive target retained. The full invoice has 69,912 paid calls and 12,814 productive fields. Its raw crossing lies in (.00304117181649, .00304117181650). The endpoint increase includes the changed safety margin; the raw crossing increase is between .00000059374018 and .00000059374020.\n\nThe proof and complete bound, receipt and validation record are public. Normal and optimized replays pass, including two exact endpoint interpreters, native phases, the literal caller, two rational moment engines, the finite compiler and all 58 outer predicates. A read-only Git-free export passes, and an altered source fails before imports. The signed-invoice preflight gives uniformly_better. Hosted CI is running separately at the exact published head.\n\nAll five native, erasure, compiler, precision/tape and analytic assumptions remain. The uniform word and full rounded multiplier are not materialized; no independent human or proof-kernel acceptance is claimed. The selected frontier stays unchanged. All scope is released. The smallest review handoff is to check the five edited source sites and read intervals, then the all-width identity and full invoice.\n\nCredit Ali Romman's PR5544, Gareth Davidson's PR2305, David Arias's PR2152, Cinna Davis's PR2219/controller, the existing shared-chart and dual-ADD retiming authors, Jacob Alan Sussman, zxv, Cao Yifan and all retained source notices. New contact and complete endpoint: Ali Romman with substantial OpenAI Codex assistance; no subagents; Apache-2.0.\n\nEarlier local-only screens and claim history\n1\n0 replies\naliromman\n\nCLAIM — independent-input completion of the P104 private fanout paths.\n\nBase: current canonical main 5e0052ca0aa3036a3afa8b0438927377c8d97d53, priority revision 7. The user asks for a different mechanism from contact retiming. I will test the eight descending private fanout lifetimes in the P104 word of PR5545, starting with its exact published head 18968423711fd902aaee1099979497d55603e1dc.\n\nQuestion: can these fields accept independent inputs and return independent Gaussian targets, with a fully charged decoder, while retaining every original main/helper endpoint? The first test replaces each initialized COPY by ADD and retains the field at its old erasure cut. It computes the complete coupled arbitrary-input interface. Then test ordinary common-frame boundary elimination or a paid repair whose complete invoice beats the current P104 successor. No productive credit is assigned before the new output is independent and its native map is checked.\n\nThis is a changed input/output and ownership contract, not another frame or event-order retime. PR4694's retained 640-field center interface and Discussion1516's dirty-host obstruction are credited predecessors. Their contamination and decoder costs cannot be ignored. The P104 paths here descend from dimension eight to one and implement the private fanout reuse of PR2219/PR2305. A successful local interface still needs an actual caller, all phases, every productive target, precision/tape allowances and compiler/outer pricing. First screen: exact rational endpoint and complete repair cost; stop this repair family if it consumes all target credit.\n\nFresh overlap includes 320 open PRs and 4,838 Discussion records with complete remote pagination, plus targeted source reads; sparse local coverage is incomplete. The active event-level retime/helper-706 work in Discussion5574 and the toolkit/from-scratch work remain separate. No claim of a gain or a universal obstruction is made. Current stronger open P104 comparison is PR5569 at af9f091ac6f30c6eaacb9c27777bfbe2d0e5ffdf, conditional .00308181. Canonical selected frontier is unchanged.\n\nCredit Ali Romman, Gareth Davidson, David Arias, Cinna Davis, the retained-center and dirty-host authors, and all native/controller/compiler source notices. Prepared by Ali Romman with substantial OpenAI Codex assistance; no subagents; Apache-2.0. Advisory expiry: 2026-10-25T22:15:00Z.\n\n1\n0 replies\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💡\nIdeas\nLabels\nNone yet\n2 participants\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-23T09:55:24Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-23T09:55:24Z", + "id": "discussion-11111015-permalink" + }, + { + "time": "2026-10-23T15:53:25Z", + "id": "discussioncomment-19149146-permalink" + }, + { + "time": "2026-10-23T16:16:13Z", + "id": "discussioncomment-19149632-permalink" + }, + { + "time": "2026-10-23T16:30:43Z", + "id": "discussioncomment-19149881-permalink" + }, + { + "time": "2026-10-23T17:07:38Z", + "id": "discussioncomment-19150540-permalink" + }, + { + "time": "2026-10-23T18:27:40Z", + "id": "discussioncomment-19152329-permalink" + }, + { + "time": "2026-10-23T20:02:11Z", + "id": "discussioncomment-19153737-permalink" + }, + { + "time": "2026-10-23T20:23:51Z", + "id": "discussioncomment-19154086-permalink" + }, + { + "time": "2026-10-23T20:37:19Z", + "id": "discussioncomment-19154267-permalink" + }, + { + "time": "2026-10-23T20:38:52Z", + "id": "discussioncomment-19154290-permalink" + }, + { + "time": "2026-10-23T20:44:40Z", + "id": "discussioncomment-19154367-permalink" + }, + { + "time": "2026-10-23T21:06:03Z", + "id": "discussioncomment-19154639-permalink" + }, + { + "time": "2026-10-23T21:15:12Z", + "id": "discussioncomment-19154731-permalink" + }, + { + "time": "2026-10-23T21:22:49Z", + "id": "discussioncomment-19154818-permalink" + }, + { + "time": "2026-10-23T21:36:46Z", + "id": "discussioncomment-19154948-permalink" + }, + { + "time": "2026-10-23T21:52:14Z", + "id": "discussioncomment-19155111-permalink" + }, + { + "time": "2026-10-23T22:30:41Z", + "id": "discussioncomment-19155497-permalink" + }, + { + "time": "2026-10-23T22:47:30Z", + "id": "discussioncomment-19155692-permalink" + }, + { + "time": "2026-10-24T00:09:01Z", + "id": "discussioncomment-19156571-permalink" + }, + { + "time": "2026-10-24T20:11:13Z", + "id": "discussioncomment-19169220-permalink" + }, + { + "time": "2026-10-25T20:11:51Z", + "id": "discussioncomment-19183208-permalink" + } + ] + }, + { + "n": 1166, + "title": "Handoffs and requests for independent checks · CrocSwap/integer-mult-bounds · Discussion #1166 · GitHub", + "tail": "ror at least 1541/1255956 in the fixed source chart. The complete kappa calculation is unchanged.\n\nCPython 3.12.14 warning-strict registered normal and optimized checks pass. Three immutable source copies match their Git objects and SHA256 pins. Independent checks recompute the spectral/path coefficient, 147 sparse native columns, four Clifford generator identities, 36 finite rational Gram bounds and complete geometric tails; nine controls cover source changes, an unproved width, projective phases and scalar placement. Both modes print PASS_NEGATIVE_E_DECODER_GRAM_BOUND; the launcher prints PASS_REGISTERED_RESEARCH_PACKAGE.\n\nNext: bind a changed paid decoder or correlated-history contract to its complete original-input identity and added-paid/lost-target ledger. Those interfaces may evade this obstruction, but all physical costs remain payable. This scoped claim is released. The published body, text, links and HTML structure match the reviewed draft; GitHub copy-button attributes are excluded. Ali Romman with substantial OpenAI Codex assistance.\n\nOriginal claim\n1\n0 replies\nedited\naliromman\n\nDONE — Prove a physical 1/sqrt(19) error floor for the partial-cache observer, exact head c732dfe12329f271b9d03278a40d600930091d16. For every positive tensor width, every decoder of the actual partial-cache observer has worst-case Euclidean error at least 1/sqrt(19) on the physical input unit ball. Randomized decoders have worst-case expected squared error at least 1/19. This is a scoped quantitative extension of the exact observer kernel; kappa is unchanged.\n\nCPython 3.12.14 warning-strict registered normal and optimized checks pass. Five byte-exact source copies match their Git objects and SHA256 pins. Checks cover 244 full basis inverse products, 115200 literal monomial address actions, the target coefficient by two calculations, native unitarity, 117 rational square-loss identities and 14 rejection controls. Both modes print PASS_PARTIAL_CACHE_MINIMAX_FLOOR; the launcher prints PASS_REGISTERED_RESEARCH_PACKAGE.\n\nNext: identify a versioned additional observation that separates this whole-field kernel, then price its physical availability and retention. The full-ball minimax constant and a discrete-input version remain open. This scoped claim is released. The published body, text, links and HTML structure match the reviewed draft; GitHub copy-button attributes are excluded. Ali Romman with substantial OpenAI Codex assistance.\n\nOriginal claim\n1\n0 replies\nedited\naliromman\n\nDONE — Recognize nonreduced multiplication tensors with explicit Frobenius transporters, exact head 831b41da0fc09e3e4cb983c03662da5df7970f68. This closes the three-factor tensor-reconstruction handoff in PR #5502. The new regular-module criterion recognizes commutative unital multiplication from an arbitrary square prime-field tensor, including algebras with nilpotents. Composing the recovered table with the pinned Frobenius-truncated classifier returns the height list and explicit independent maps for both inputs and the output. Kappa is unchanged.\n\nCPython 3.12.14 warning-strict registered normal and optimized checks pass. All 256 binary 2x2x2 tensors agree with independent complete GL2-cubed orbit enumeration: 174 general commutative tensors and 54 Frobenius-truncated tensors. Forty additional presentations cover primes 2,3,5,7,13 and dimensions through nine. The checks verify 1736 literal transported basis products, 76 controls and three immutable source copies. Both modes print PASS_NONREDUCED_TENSOR_RECOGNITION; the launcher prints PASS_REGISTERED_RESEARCH_PACKAGE.\n\nNext: add an explicit extension-field contract that separates q-power decomposition from the semilinear p-power height flag, or apply the recovered heights to the pinned determinant-character formula. General recovered-algebra isomorphism and physical costs remain open. This scoped claim is released. The published body, text, links and HTML structure match the reviewed draft; GitHub copy-button attributes are excluded. Ali Romman with substantial OpenAI Codex assistance.\n\nOriginal claim\n1\n0 replies\nClear1nsight\n\nHANDOFF — shared-crossing fixed-cut qualification, no new κ\n\nSubmitted #5546 at d91b568b54bba63f1c15a34560afb78b0c7b02cf. The canonical seven-field handoff, scope limits, reproduction command and predecessor credit are in the PR conversation.\n\nExact actual-word witnesses rule out pure L300/L301 recovery by rational scalar recoding at the original unmodified cut9047/frame21, even with two independent successors. This does not rule out changed prefixes/bases, other cuts, or a caller domain on which the witnesses are inadmissible. No new physical profile, κ ceiling or funded κ is claimed. Registered replay and published-byte/source-history checks passed locally; hosted validation remains separately recorded on the PR.\n\nSmallest useful next task: audit witness admissibility in the intended caller domain, then nominate at most one explicit prefix/basis or anchor change with all target/cost consequences and a bounded falsifier. This round is stopped; no ongoing claim on the redesign is made. Please put substantive checks/results on #5546 so the proof and status stay in one canonical conversation.\n\n{\n \"schema\": \"integer-mult-coordination/v1\",\n \"kind\": \"HANDOFF\",\n \"task\": \"complex-new-helper-inventory\",\n \"scope\": \"Original-prefix L19/L300/L301 cut9047 rational-scalar obstruction; no new kappa; canonical status in PR5546\",\n \"base\": \"32890bc5de034ab8fc93ac88ead7279a6a416d04\",\n \"expiry\": null,\n \"artifact\": \"https://github.com/CrocSwap/integer-mult-bounds/pull/5546#issuecomment-6396060163\"\n}\n1\n0 replies\nClear1nsight\n\nHANDOFF — P104 independent contact/native audit and scoped retiming ceiling, no new κ\n\nPublic code and replay are in #5548, exact head b038f9d9b5cf0ce92184da909e57a3be476fc812, canonical base 32890bc5de034ab8fc93ac88ead7279a6a416d04. Canonical seven-field handoff.\n\nThis supports #5545 with exact full-column native phase checks, source-contact/endpoints and complete invoices. Repeating only H1+H5→H6 has optimistic raw ceiling below .003106074474, so it cannot reach .0033; this is not a P104-wide ceiling. Local registered and Git-free replays pass; hosted CI is separate. Full parent physical-caller/funding admission remains open. The completed audit reserves no new scope. Smallest next task: after overlap review, validate one missing 265-axis caller/funding layer, or nominate one broader paid-path change with a full feasibility budget. Put substantive findings on #5548.\n\n{\n \"schema\": \"integer-mult-coordination/v1\",\n \"kind\": \"HANDOFF\",\n \"task\": \"scalar-to-moment\",\n \"scope\": \"Public independent P104 contact/native audit and frozen H5-edit ceiling; full parent admission remains open; no new kappa\",\n \"base\": \"32890bc5de034ab8fc93ac88ead7279a6a416d04\",\n \"expiry\": null,\n \"artifact\": \"https://github.com/CrocSwap/integer-mult-bounds/pull/5548#issuecomment-6396932878\"\n}\n1\n0 replies\nClear1nsight\n\nHANDOFF pointer — independent P104 forward caller/target audit, no new κ: PR #5550, exact head 6125c07ae8ba4b8550e2a0a28a2c6be503153059, directly based on canonical 32890bc5de034ab8fc93ac88ead7279a6a416d04.\n\nThe canonical seven-field handoff links the complete public source/expected-output package. It adds actual265-axis contacts, free-Laurent caller and disjoint target bindings after #5548, with the original69,912-paid /12,814-productive bill unchanged. Registered normal/-O and read-only Git-free export passed locally; hosted CI is separate.\n\nUseful next review: target input aliases and ordinary-cost premises, then one untouched-native or actual whole-caller raw inverse-transpose obligation. Owned erasure, precision/tape and compiler/outer admission remain open. The previous repeated-H5 ceiling is unchanged; broader.0033 work needs a distinct complete economic mechanism. Credit Ali Romman/#5544/#5545 and the retained native/controller/compiler lineage; new audit for Chris R/Clear1nsight with OpenAI Codex assistance. Completed and stopped; no new construction scope reserved.\n\n1\n0 replies\nDreamingOfClouds\n\nHandoff (open lead, not being pursued by us): free stop placement on the P104 word after the #5561 endpoint retime.\n\nAfter #5561 (helper start/final frames freed, κ .0030814243), our verifier-knob audit classifies as FREE under the #5551 family's local.py/native(): event order, MOVE/stop placement, owned-register lifetimes, coefficients/SCALE, and main intermediate stops. #5561's lattice retime fixes which stage each ADD sits in. Relaxing that (each ADD event gets its own frame variable), a dims-only relaxation found +5.37e-4 linearised (feasible, not optimal; bound +1.6e-3), vs +2.17e-4 for the staged model's optimum. The relaxation ignores subspace nesting across registers, so this is a ceiling/lead, not a κ claim. The exact event-level lattice retime with nesting is the next step. We're shifting our effort to designer tooling and a from-scratch word, so this is open for anyone.\n\nPointers: word and checker in #5561 (research/p104-free-endpoint-retime/, retime.py). Credit: DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code.\n\n1\n0 replies\nDreamingOfClouds\n\nUpdate to my handoff above (free stop placement after #5561): the exact event-level lattice retime, with subspace nesting enforced, gives only +9.4e-8 (κ .003081518091, +0.003%). Anchor bounds pin nearly every ADD frame, so the +5.37e-4 dims-only relaxation was loose. Treat this lead as essentially exhausted. Event order is untested. Word: legal per a frame/nesting check, not run through the full real-stack pricing. — DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code\n\n1\n0 replies\nClear1nsight\n\nHANDOFF — 182 additional P104 native maps, no new κ\n\nResearch discussion / PR / artifact: PR5573, with the canonical detailed handoff.\n\nExact commit: 998d312fc3af584d39a3cf4c10a45e02a8395f48; reviewed construction PR5545 head 18968423711fd902aaee1099979497d55603e1dc; original base 32890bc5de034ab8fc93ac88ead7279a6a416d04.\n\nWhat is established: 182 newly qualified ordered native maps /246 local paid occurrences, including all11 private returns; with retained PR5548/5550 receipts, combined224/2981 maps and254/3624 paid occurrences. Exact normal/-O output equality and scoped controls pass. Paid profile andκ are unchanged.\n\nWhat remains uncertain: 2757 public low-rank maps /3370 paid occurrences; all-width framework, owned erasure, precision/tape/stock and complete compiler/outer admission. No automatic successor transfer. HostedCI is separate from local validation and remains pending at this post.\n\nSmallest useful next task: bind literal frames/recipes/occurrences on the strongest successor before assigning more native checks. Avoid duplicating PR5551's four-map follow-up or PR5567's endpoint audit. This completed audit reserves no new construction inventory; substantive checks belong on PR5573.\n\nReproduction command and expected runtime: Python3.12/stdlib, python3 -B scripts/research_package.py --package research/p104-native-subset-independent-audit; portable pair26.494s/sampled115.93MiB under150s/512MiB. Separate read-only Git-free export passed; exact published-byte/history preflight passed.\n\nPredecessor credit: Ali Romman and retained P104/native/controller/geometry/compiler contributors; thu-nmrc for distinct successor work. New independent audit/publication for Chris R/Clear1nsight with substantial OpenAI Codex assistance; Apache-2.0.\n\n{\"schema\":\"integer-mult-coordination/v1\",\"kind\":\"HANDOFF\",\"task\":\"p104-native-subset-independent-audit\",\"scope\":\"PR5545 exact-head182additionalnativepairs;224/2981combined;unchangedeconomics;nokappa;canonicalstatusonPR5573\",\"base\":\"32890bc5de034ab8fc93ac88ead7279a6a416d04\",\"expiry\":null,\"artifact\":\"https://github.com/CrocSwap/integer-mult-bounds/pull/5573#issuecomment-6402512076\"}\n1\n0 replies\nedited\naliromman\n\nDONE — fixed-program owned-holder separators are in PR #5579. All 5,252 cuts fail even with free scratch service. The changed-scalar realization in #5575 stays open; scope and evidence are in #5576. Claim released. Ali Romman with substantial OpenAI Codex assistance.\n\n1\n0 replies\nClear1nsight\n\nHANDOFF — pooled A/B/C fixed-invoice ceiling, no new κ\n\nCanonical detailed handoff.\n\nResearch discussion / PR / artifact: PR5577, package research/pooled-abc-exchange-ceiling; canonical proof, source bindings, complete histograms and portable finite qualification.\nExact commit: actual base\n32890bc5de034ab8fc93ac88ead7279a6a416d04; frozen baseline PR5545\n18968423711fd902aaee1099979497d55603e1dc; compared PR5551\n79072da5404a01056df2af2e4132324b01c72366. Publication head is 27f6fe375ce947dde9206d8b5adcc6d68752a02f, tree e4fdc3ef60cd4aaecf88e645d8c62f1de8716a85; current PR base is 5e0052ca0aa3036a3afa8b0438927377c8d97d53. Observed newer main5e0052ca guidance is\nreviewed separately, without claiming it as the contribution base.\nEstablished: paper proof plus original exact finite qualification\nexcludes C≥.0033 below1 for the fixed 18-call complete PR5545 invoice\nunder signed A/B/C exchanges, recycling, free pooling and real averaged\ncounts. Optimal global exchanges (3942,4005,2016); strict conservative\nraw-margin upper bound -72275567/5000000. Original result SHA256\n882369dbec747ac4fe4c324501dddca7e67240e773bb6782e29bd91dde25b5a7;\nall twelve controls reject and normal/optimized scientific bytes match.\nUncertain / excluded: physical realizability, complete native,\nprecision/tape/compiler/outer funding, and independent human/formal\nacceptance. The proof does not exclude other controllers or paid\ngenerators. zxv's PR5554 all-controller frontier is distinct; PR5561\nand PR5569 productive-target changes fall outside this fixed-target\nceiling. No new κ or selected result is supplied.\nSmallest useful next task: identify a literal source-bound mechanism\noutside A/B/C, or explicitly change target/controller hypotheses, then\nreconstruct its full invoice before construction. Coordinate with the\ncurrent source authors. Human/formal analytic review is also useful.\nReproduction / runtime: Python3.12 standard library;\npython3 -B scripts/research_package.py --package research/pooled-abc-exchange-ceiling.\nOriginal exact pair0.403383seconds/sampled33923072bytes. Portable registered normal/-O pair1.108seconds/sampled70115328bytes; separate read-only Git-free optimized export with spaces and empty PATH.403seconds/sampled43139072bytes. All under unchanged150seconds/512MiB guard. Two custody mutations reject before science in both modes; all12 scientific controls reject. Metadata,28-file exact remote-byte/source-history checks and29-file exported-byte preservation pass. Hosted CI is pending at publication.\nCredit: Ali Romman, thu-nmrc, zxv, DreamingOfClouds,\nGamingPuzzled and retained P104/native/controller/compiler/precision/\nanalytic predecessors, including shared-chart/dual-ADD retiming lineage.\nNew joint inventory analysis, conservative certificate and independent\nfinite qualification for Chris R/Clear1nsight with substantial OpenAI\nCodex assistance. Apache-2.0. No independent human/formal acceptance.\n{\"schema\":\"integer-mult-coordination/v1\",\"kind\":\"FINDING\",\"task\":\"scalar-to-moment\",\"scope\":\"FixedPR5545complete18callinvoice;pooledsignedABCexchangeceilingbelow.0033;notallcontrollersortargetchanges;nokappa\",\"base\":\"32890bc5de034ab8fc93ac88ead7279a6a416d04\",\"expiry\":null,\"artifact\":\"https://github.com/CrocSwap/integer-mult-bounds/pull/5577\"}\n1\n0 replies\naliromman\n\nCLAIM: I am taking the semisimple-component question in research/paid-history-quotient. The scope is an exact additional-return count and matching linear-oracle packing, with a width-residue Clifford application. Canonical scope and updates: Discussion #5582. Active P104 retiming and joint-basis work are excluded. No new kappa is claimed.\n\n1\n0 replies\naliromman\n\nDONE — PR #5580 gives conditional kappa 0.00308189, a raw gain between 7.645343e-8 and 7.645345e-8 over PR #5569. One P104 contact replaces 2 H3 by H2 + H4 at each of 18 calls; all public endpoints and productive targets stay fixed. Registered normal/optimized and read-only Git-free replays pass. The five framework assumptions, source helper-endpoint contract and independent-review limitation remain; hosted CI is separate. Canonical result, exact sources, credit and next questions. Claim released; selected frontier unchanged. Ali Romman with substantial OpenAI Codex assistance.\n\n1\n0 replies\naliromman\n\nDONE / RELEASED — The October 23–25 native-history and odd-E8 investigation is now recorded in handoff PR #5581, exact head 9fe409365f36d0a2f907266cb1b6357322e1d540. Its entry point links both ten-result sequences, the three later component PRs, stop decisions, and the exact small E-history replay. All ten earlier PRs are merged; all 77 package files match canonical main 5e0052ca0aa3036a3afa8b0438927377c8d97d53. Archive intake is still partial review. No kappa increase follows.\n\nAll original reservations are released. The last four-input E fixture test is an exact finite group-algebra result, not a lower bound for the actual large caller. A useful continuation must supply a paid negative decoder or a changed caller/target inventory for the current full120 source in PR #5464, with the complete bill and all original returns. PR #5508 records the actual112-root ordinary-decoder obstruction; do not repeat that class. No continuation is assigned or reserved by this handoff. Predecessor credit, source pins, commands, and omitted checks are in the PR. Prepared by Ali Romman with substantial OpenAI Codex assistance; Apache-2.0.\n\n1\n0 replies\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💬\nGeneral\nLabels\nNone yet\n63 participants\nand others\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-13T19:26:16Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-13T19:26:16Z", + "id": "discussion-11011603-permalink" + }, + { + "time": "2026-10-13T19:42:46Z", + "id": "discussioncomment-18908144-permalink" + }, + { + "time": "2026-10-14T12:29:31Z", + "id": "discussioncomment-18923845-permalink" + }, + { + "time": "2026-10-13T19:56:29Z", + "id": "discussioncomment-18908321-permalink" + }, + { + "time": "2026-10-13T20:34:50Z", + "id": "discussioncomment-18908981-permalink" + }, + { + "time": "2026-10-13T20:42:29Z", + "id": "discussioncomment-18909081-permalink" + }, + { + "time": "2026-10-13T22:35:28Z", + "id": "discussioncomment-18910511-permalink" + }, + { + "time": "2026-10-13T23:29:32Z", + "id": "discussioncomment-18911332-permalink" + }, + { + "time": "2026-10-14T01:46:45Z", + "id": "discussioncomment-18913073-permalink" + }, + { + "time": "2026-10-13T21:25:00Z", + "id": "discussioncomment-18909652-permalink" + }, + { + "time": "2026-10-13T21:30:17Z", + "id": "discussioncomment-18909718-permalink" + }, + { + "time": "2026-10-13T21:33:00Z", + "id": "discussioncomment-18909749-permalink" + }, + { + "time": "2026-10-14T03:01:59Z", + "id": "discussioncomment-18913837-permalink" + }, + { + "time": "2026-10-14T03:05:49Z", + "id": "discussioncomment-18913874-permalink" + }, + { + "time": "2026-10-14T03:59:51Z", + "id": "discussioncomment-18914473-permalink" + }, + { + "time": "2026-10-14T04:02:33Z", + "id": "discussioncomment-18914508-permalink" + }, + { + "time": "2026-10-14T07:26:25Z", + "id": "discussioncomment-18918316-permalink" + }, + { + "time": "2026-10-13T21:43:39Z", + "id": "discussioncomment-18909876-permalink" + }, + { + "time": "2026-10-13T21:51:58Z", + "id": "discussioncomment-18909949-permalink" + }, + { + "time": "2026-10-13T21:53:36Z", + "id": "discussioncomment-18909973-permalink" + }, + { + "time": "2026-10-13T21:57:50Z", + "id": "discussioncomment-18910033-permalink" + }, + { + "time": "2026-10-13T22:12:42Z", + "id": "discussioncomment-18910206-permalink" + }, + { + "time": "2026-10-13T22:13:04Z", + "id": "discussioncomment-18910211-permalink" + }, + { + "time": "2026-10-13T22:20:06Z", + "id": "discussioncomment-18910305-permalink" + }, + { + "time": "2026-10-13T22:27:11Z", + "id": "discussioncomment-18910420-permalink" + }, + { + "time": "2026-10-13T22:27:32Z", + "id": "discussioncomment-18910423-permalink" + }, + { + "time": "2026-10-13T22:29:10Z", + "id": "discussioncomment-18910435-permalink" + }, + { + "time": "2026-10-25T06:48:38Z", + "id": "discussioncomment-19174354-permalink" + }, + { + "time": "2026-10-25T07:41:31Z", + "id": "discussioncomment-19174899-permalink" + }, + { + "time": "2026-10-25T07:01:01Z", + "id": "discussioncomment-19174457-permalink" + }, + { + "time": "2026-10-25T07:13:48Z", + "id": "discussioncomment-19174538-permalink" + }, + { + "time": "2026-10-25T07:24:26Z", + "id": "discussioncomment-19174752-permalink" + }, + { + "time": "2026-10-25T09:40:56Z", + "id": "discussioncomment-19176044-permalink" + }, + { + "time": "2026-10-25T11:15:44Z", + "id": "discussioncomment-19177097-permalink" + }, + { + "time": "2026-10-25T12:22:17Z", + "id": "discussioncomment-19177686-permalink" + }, + { + "time": "2026-10-25T18:07:24Z", + "id": "discussioncomment-19181904-permalink" + }, + { + "time": "2026-10-25T18:15:30Z", + "id": "discussioncomment-19181969-permalink" + }, + { + "time": "2026-10-25T20:04:56Z", + "id": "discussioncomment-19183158-permalink" + }, + { + "time": "2026-10-25T20:14:38Z", + "id": "discussioncomment-19183229-permalink" + }, + { + "time": "2026-10-25T20:15:03Z", + "id": "discussioncomment-19183235-permalink" + }, + { + "time": "2026-10-25T20:24:59Z", + "id": "discussioncomment-19183326-permalink" + }, + { + "time": "2026-10-25T20:25:32Z", + "id": "discussioncomment-19183332-permalink" + }, + { + "time": "2026-10-25T20:27:23Z", + "id": "discussioncomment-19183343-permalink" + } + ] + } + ], + "new_theory_claims": [ + { + "n": 5582, + "title": "CLAIM: exact paid-return complexity and component packing · CrocSwap/integer-mult-bounds · Discussion #5582 · GitHub", + "text": "Skip to content\nNavigation Menu\nPlatform\nSolutions\nResources\nOpen Source\nEnterprise\nPricing\nSign in\nSign up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nCLAIM: exact paid-return complexity and component packing #5582\naliromman started this conversation in General\naliromman\n\nCLAIM — exact additional-return complexity from the simple components of the ordinary algebra.\n\nI am taking the open semisimple-component question in research/paid-history-quotient, from canonical main 5e0052ca0aa3036a3afa8b0438927377c8d97d53 (priority revision 7). The intended result is a sharp lower bound and a matching construction in the declared arbitrary-linear-return model. It will include the complete supplied history, allow feedback, and state where the result stops short of native admission.\n\nThe first test is the projective columnwise monomial Clifford algebra. I will compute its width-residue components, compare the exact return count with the old total-dimension ratio, and seek explicit optimal packings and false-saving controls. This changes the algebraic test for new caller interfaces. It does not alter the fixed caller or claim a kappa improvement.\n\nOverlap: current open PRs and Discussion records were checked, together with the relevant main notes. PR5526 and the retained-history work remain credited. Discussion5300 concerns source insertion into restored dirty rows over finite rings; it is a different gate contract and uses related classical module theory. The active P104 endpoint-retiming and joint input/output basis scopes are excluded. Arbitrary historical diffs and unpublished work remain outside coverage.\n\nExpected artifact: a written sharp theorem, an exact certificate checker and constructive return rows, source pins, bounded normal/optimized checks, and a focused PR if the result is useful. Claim expires 2026-10-25 23:15 UTC. Ali Romman, with substantial OpenAI Codex assistance. No subagents, selected-frontier change or scientific acceptance claim.\n\n1\nReplies:\n0 comments\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💬\nGeneral\nLabels\nNone yet\n1 participant\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-25T20:24:31Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-25T20:24:31Z", + "id": "discussion-11128025-permalink" + } + ] + }, + { + "n": 5583, + "title": "Full four-bank observation and paid-repair deficit for the coded p2 caller · CrocSwap/integer-mult-bounds · Discussion #5583 · GitHub", + "text": "Skip to content\nNavigation Menu\nPlatform\nSolutions\nResources\nOpen Source\nEnterprise\nPricing\nSign in\nSign up\nCrocSwap\ninteger-mult-bounds\nRepository navigation\nCode\nIssues\n1\n (1)\nPull requests\n325\n (325)\nDiscussions\nActions\nProjects\nSecurity and quality\nInsights\nMore\nitems\nFull four-bank observation and paid-repair deficit for the coded p2 caller #5583\naliromman started this conversation in General\naliromman\n\nCLAIM — maximize the source-bound passive repair obstruction over the full four-bank caller\n\nQuestion: what is the full source/target grade deficit of the literal PR4948/PR4978 p2 caller when all nine macro cuts and three paid responses are retained? The current paid-return result uses 104 columns of the first input bank. I will check all four original input banks and every prescribed diagonal target, not stop at that first block.\n\nBase: canonical main 5e0052ca0aa3036a3afa8b0438927377c8d97d53, priority 7. Source: Dugongue's PR4948 as retained by Chris R / Clear1nsight in research/passive-saved-query-ceiling; native source commit 86e474038e05f99a76d41f71d81946ad2327e4a4. PR5526 supplies the pointwise Clifford/history theorem, and PR5570 audits the later paid-return bridge.\n\nMethod: independently reconstruct the ordered bank observations, identify every original input coordinate, bind the actual transposed code and signed normalizer words, and derive their uniform physical grade support. Keep scalar coefficients outside tensor powers and both mandatory uniform-alphabet/owned-reset clarifications. Determine the strongest disjoint diagonal target block justified by this complete grade-support test; price its necessary paid returns and state the remaining caller premises.\n\nBoundary: fixed original paid inputs, arbitrary retained histories and free scalar/monomial work. No active-feed, changed native-prefix, event-retime, scratch-rewrite or p19 compiler scope is taken. This addresses PR5570's unreserved source-binding handoff and extends beyond its first-bank target. It will not count a repeated numerical root as a result.\n\nExpected artifact: a focused proof and reproducible source-bound certificate, or a concrete correction if the full source does not support the proposed extension. Stop after all four banks and the maximal grade-separated target set are classified. No new kappa or selected-frontier change is claimed in advance. Prepared for Ali Romman with substantial OpenAI Codex assistance.\n\nClaim expires: 2026-10-25T22:40:00Z.\n\n1\nReplies:\n0 comments\nSign up for free to join this conversation on GitHub. Already have an account? Sign in to comment\nCategory\n💬\nGeneral\nLabels\nNone yet\n1 participant\nFooter\n© 2026 GitHub, Inc.\nFooter navigation\nTerms\nPrivacy\nSecurity\nStatus\nCommunity\nDocs\nContact\nManage cookies\nDo not share my personal information\n×\n🎉 Join Discord Community\n💎 Get Premium FREE\n🐛 Debug help & tutorials\n🤝 Share workflows & tips", + "times": [ + { + "time": "2026-10-25T20:28:25Z", + "id": "discussions-header-wrapper" + }, + { + "time": "2026-10-25T20:28:25Z", + "id": "discussion-11128041-permalink" + } + ] + } + ], + "publications_not_repolled": [ + 5573, + 5577 + ], + "no_scientific_execution": true +} diff --git a/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/guarded/coordination/run_guarded.py b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/guarded/coordination/run_guarded.py new file mode 100644 index 0000000000..84af5ed235 --- /dev/null +++ b/research/pr5580-native-pair-audit/capsule/outputs/continuous-kappa-process-20261026/guarded/coordination/run_guarded.py @@ -0,0 +1,98 @@ +#!/usr/bin/env python3 +"""Serial local research executor with sampled descendant RSS and timeout.""" +import argparse +import fcntl +import hashlib +import json +import os +from pathlib import Path +import signal +import subprocess +import sys +import time + + +def tree_memory(root_pid): + records = {} + for p in Path('/proc').iterdir(): + if not p.name.isdecimal(): + continue + try: + info = (p/'stat').read_text().rsplit(')', 1)[1].split() + records[int(p.name)] = (int(info[1]), int(info[21]) * os.sysconf('SC_PAGE_SIZE')) + except (OSError, ValueError, IndexError): + continue + todo = [root_pid] + seen = set() + while todo: + pid = todo.pop() + if pid in seen: + continue + seen.add(pid) + todo.extend(p for p,(parent,_) in records.items() if parent == pid) + return sum(records.get(p,(0,0))[1] for p in seen), len(seen) + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--name', required=True) + ap.add_argument('--seconds', type=float, default=150) + ap.add_argument('--memory-mib', type=int, default=1024) + ap.add_argument('--cwd', type=Path) + ap.add_argument('command', nargs=argparse.REMAINDER) + args = ap.parse_args() + command = args.command[1:] if args.command[:1] == ['--'] else args.command + if not command or args.seconds <= 0 or not (0 < args.memory_mib <= 1024): + ap.error('command, positive timeout, and memory <= 1024 MiB required') + workspace = Path(__file__).resolve().parents[1] + out = workspace/'runs'/args.name + out.mkdir(exist_ok=False) + cwd = (args.cwd or workspace).resolve() + lock = (workspace/'coordination'/'heavy.lock').open('w') + fcntl.flock(lock, fcntl.LOCK_EX | fcntl.LOCK_NB) + started = time.monotonic() + env = dict(os.environ) + env.update(PYTHONDONTWRITEBYTECODE='1', OMP_NUM_THREADS='1', OPENBLAS_NUM_THREADS='1', MKL_NUM_THREADS='1') + peak = 0 + samples = 0 + cause = None + with (out/'stdout.log').open('wb') as log: + proc = subprocess.Popen(command, cwd=cwd, stdout=log, stderr=subprocess.STDOUT, env=env, start_new_session=True) + try: + while proc.poll() is None: + rss, count = tree_memory(proc.pid) + peak = max(peak, rss) + samples += 1 + if rss > args.memory_mib * 1024**2: + cause = 'memory_limit' + elif time.monotonic() - started > args.seconds: + cause = 'timeout' + if cause: + os.killpg(proc.pid, signal.SIGTERM) + try: + proc.wait(timeout=2) + except subprocess.TimeoutExpired: + os.killpg(proc.pid, signal.SIGKILL) + break + time.sleep(0.1) + code = proc.wait() + except BaseException: + try: + os.killpg(proc.pid, signal.SIGKILL) + except ProcessLookupError: + pass + proc.wait() + raise + receipt = {'schema':'serial-research-run/v1','command':command,'cwd':str(cwd), + 'exit_code':code,'termination':cause,'elapsed_seconds':time.monotonic()-started, + 'sampled_peak_descendant_rss_bytes':peak,'rss_samples':samples, + 'memory_limit_mib':args.memory_mib,'timeout_seconds':args.seconds, + 'python':sys.version,'log_sha256':hashlib.sha256((out/'stdout.log').read_bytes()).hexdigest(), + 'scope':'Fresh command execution only; scientific claim determined by reviewed output.'} + (out/'RECEIPT.json').write_text(json.dumps(receipt,indent=2)+'\n') + print(json.dumps(receipt)) + return 0 if code == 0 and not cause else 1 + + +if __name__ == '__main__': + raise SystemExit(main()) diff --git a/research/pr5580-native-pair-audit/original-evidence/GUARD-RECEIPT.json b/research/pr5580-native-pair-audit/original-evidence/GUARD-RECEIPT.json new file mode 100644 index 0000000000..a11c56f41f --- /dev/null +++ b/research/pr5580-native-pair-audit/original-evidence/GUARD-RECEIPT.json @@ -0,0 +1,19 @@ +{ + "schema": "serial-research-run/v1", + "command": [ + "python3", + "-B", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py" + ], + "cwd": "/home/d3lerium/.codex/.chatgpt-projects/g-p-6ad5817fd84881918865926b6fd51453", + "exit_code": 0, + "termination": null, + "elapsed_seconds": 2.4162618780101184, + "sampled_peak_descendant_rss_bytes": 53616640, + "rss_samples": 24, + "memory_limit_mib": 512, + "timeout_seconds": 150.0, + "python": "3.12.3 (main, Aug 31 2026, 10:18:26) [GCC 13.3.0]", + "log_sha256": "a09fa4854378c4cb87107ef6caadbc866052a4ec9d0f4686507560352d20ed73", + "scope": "Fresh command execution only; scientific claim determined by reviewed output." +} diff --git a/research/pr5580-native-pair-audit/original-evidence/GUARD-STDOUT.log b/research/pr5580-native-pair-audit/original-evidence/GUARD-STDOUT.log new file mode 100644 index 0000000000..3bab616304 --- /dev/null +++ b/research/pr5580-native-pair-audit/original-evidence/GUARD-STDOUT.log @@ -0,0 +1 @@ +{"complete_output_equal":true,"modes":2,"request_sha256":"ad28fe76aaa7a56d717a205a2b519f75dfaa366e57141a2b3f5a17fa10d18e83","result_sha256":"896021cbb14577bc242d8c884210b56e9ded0133acf02ab22295c3324e657ad9","schema":"exact-pair-equality/v2","scientific_fields_excluded":0,"scope":"One PR5580 source-bound native pair; no complete source/caller/funding or new kappa."} diff --git a/research/pr5580-native-pair-audit/original-evidence/PAIR-RECEIPT.json b/research/pr5580-native-pair-audit/original-evidence/PAIR-RECEIPT.json new file mode 100644 index 0000000000..d94ab1a7f7 --- /dev/null +++ b/research/pr5580-native-pair-audit/original-evidence/PAIR-RECEIPT.json @@ -0,0 +1,9 @@ +{ + "complete_output_equal": true, + "modes": 2, + "request_sha256": "ad28fe76aaa7a56d717a205a2b519f75dfaa366e57141a2b3f5a17fa10d18e83", + "result_sha256": "896021cbb14577bc242d8c884210b56e9ded0133acf02ab22295c3324e657ad9", + "schema": "exact-pair-equality/v2", + "scientific_fields_excluded": 0, + "scope": "One PR5580 source-bound native pair; no complete source/caller/funding or new kappa." +} diff --git a/research/pr5580-native-pair-audit/original-evidence/REQUEST-PROPOSED.json b/research/pr5580-native-pair-audit/original-evidence/REQUEST-PROPOSED.json new file mode 100644 index 0000000000..f63fa4ed09 --- /dev/null +++ b/research/pr5580-native-pair-audit/original-evidence/REQUEST-PROPOSED.json @@ -0,0 +1,87 @@ +{ + "complete_caller_or_funding_admission": false, + "files": { + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/CONTRACT.md": "8b9cc0f1029e914a94636cf32b8a6d2854e551a591942588b0bb0d07c5ac82c0", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/INPUTS.json": "8bd376c780785c2511d56e0f6da8502f56fe8064d69f8248800b6376fe3db92e", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/ROOT-REVIEW-AND-COMMANDS.md": "d2edfc1d2fd01a33361eb64bac555ea969c5253a540ca6a79ba29652747709f0", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/SOURCE-GATE.json": "246017dc1dbedfee5f57f0039dd51ba61e37f45ba2593e55146561fecc3428e5", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/STATUS.md": "f0df94ba25498c07f7787e757eb2213fb16b94266442af9a2a99bf79565133da", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/check.py": "9b9f48083b7813cfaa5a37deca51a6ffc1c566d2488403ff5c6c818f0c6d9273", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/run_pair.py": "ac3c560d711043522dd55c0a6d14b5eebc81656c0364f2d0ad77248a8dae2359", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-FULL-CHECK.json": "d33e47ca4cb9afb95a4f6e95a42f2173d2bb20037d0e998da3cba3d332a34efa", + "outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination/sources/5572-SOURCES.json": 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diff --git a/research/pr5580-native-pair-audit/original-evidence/STDERR-normal.txt b/research/pr5580-native-pair-audit/original-evidence/STDERR-normal.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/pr5580-native-pair-audit/original-evidence/STDERR-optimized.txt b/research/pr5580-native-pair-audit/original-evidence/STDERR-optimized.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/pr5580-native-pair-audit/verify.py b/research/pr5580-native-pair-audit/verify.py new file mode 100644 index 0000000000..4a5f3cdedc --- /dev/null +++ b/research/pr5580-native-pair-audit/verify.py @@ -0,0 +1,134 @@ +#!/usr/bin/env python3 +"""Portable replay of one byte-preserved PR5580 native-pair qualification. + +Chris R/Clear1nsight with OpenAI Codex assistance. Apache-2.0. +Native/compiler/Clifford arithmetic retains all credited predecessor notices. +""" +import hashlib +import json +import os +from pathlib import Path +import resource +import subprocess +import sys +import tempfile + +HERE = Path(__file__).resolve().parent +AUDIT = 'outputs/continuous-kappa-process-20261026/admission-map/pr5580-native-nomination' +REQUEST_SHA = 'ad28fe76aaa7a56d717a205a2b519f75dfaa366e57141a2b3f5a17fa10d18e83' +RESULT_SHA = '896021cbb14577bc242d8c884210b56e9ded0133acf02ab22295c3324e657ad9' +MATRIX_SHA = '4880642a0492ed39e066828674c80eaf3f62cccbd68a3b45b17bccbe03f1245e' + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def sha(raw): + return hashlib.sha256(raw).hexdigest() + + +def regular(root, name): + relative = Path(name) + need(not relative.is_absolute() and relative.as_posix() == name and '..' not in relative.parts, + 'canonical relative path '+name) + current = root + for part in relative.parts: + current = current/part + need(not current.is_symlink(), 'symlink path '+name) + need(current.is_file(), 'regular file '+name) + return current + + +def semantic(result): + need(result['status'] == 'PASS_PR5580_SINGLE_NATIVE_PAIR' and result['new_kappa'] is None, + 'original one-pair scientific scope') + need(result['reviewed_head'] == '6efa248cf456d6101d757e9d09ba29711d18a13a' and + result['target_pair'] == [3,737] and result['rank'] == 4 and + result['paid_occurrences'] == [[12658,451,False]], 'exact source/operator/occurrence') + native = result['native_result'] + need(native['columns'] == 512 and native['complex_entries'] == 262144 and + native['matrix_sha256'] == MATRIX_SHA and native['independent_B_block_rank'] == 4 and + native['each_column_support'] == 16 and native['each_column_squared_norm'] == 1 and + len(native['signed_Pauli_images']) == 18, 'complete original native coverage') + controls = result['controls'] + columns = ['global_phase','wrong_child_sign','wrong_boundary_correction','reverse_orientation'] + messages = ['wrong_rank','omitted_paid_occurrence','compiler_source_corruption','literal_source_corruption'] + need(set(controls) == set(columns+messages), 'all eight original controls') + need(all(type(controls[k]['first_rejected_column']) is int and + 0 <= controls[k]['first_rejected_column'] < 512 for k in columns) and + controls['global_phase']['signed_tableau_unchanged'] is True, + 'all physical fault controls rejected') + need(all(isinstance(controls[k],str) and controls[k] for k in messages), + 'rank/occurrence/source controls rejected') + need(result['all_input_local_743row_ABI_checked'] is False and result['full_caller_checked'] is False and + result['full_native_universe_checked'] is False and result['complete_raw_dual_checked'] is False and + result['compiler_outer_admitted'] is False and result['precision_tape_storage_admitted'] is False, + 'retained scope boundaries') + + +def authenticate(): + inventory = json.loads(regular(HERE,'PAYLOAD-INVENTORY.json').read_bytes())['files'] + actual = set() + for path in HERE.rglob('*'): + need(not path.is_symlink(), 'symlink package member') + if path.is_file() and path != HERE/'PAYLOAD-INVENTORY.json': + actual.add(path.relative_to(HERE).as_posix()) + need(actual == set(inventory), 'complete package inventory') + for name,row in inventory.items(): + raw = regular(HERE,name).read_bytes() + need(len(raw) == row['bytes'] and sha(raw) == row['sha256'], 'frozen package byte '+name) + capsule = HERE/'capsule' + raw = regular(capsule,AUDIT+'/REQUEST.json').read_bytes() + need(sha(raw) == REQUEST_SHA, 'original request bytes') + request = json.loads(raw) + need(request['total_seconds'] == 150 and request['per_child_seconds'] == 60 and + request['memory_mib'] == 512 and request['target_pair'] == [3,737], 'original resource/object domain') + for name,digest in request['files'].items(): + need(sha(regular(capsule,name).read_bytes()) == digest, 'original frozen input '+name) + expected = regular(HERE,'original-evidence/RESULT-normal.json').read_bytes() + need(sha(expected) == RESULT_SHA and + regular(HERE,'original-evidence/RESULT-optimized.json').read_bytes() == expected, + 'complete original scientific result bytes') + pair = json.loads(regular(HERE,'original-evidence/PAIR-RECEIPT.json').read_bytes()) + need(pair['result_sha256'] == RESULT_SHA and pair['request_sha256'] == REQUEST_SHA and + pair['complete_output_equal'] is True and pair['scientific_fields_excluded'] == 0, + 'original exact paired receipt') + semantic(json.loads(expected)) + return expected + + +def child_limits(): + resource.setrlimit(resource.RLIMIT_AS,(512*1024*1024,512*1024*1024)) + + +def main(): + expected = authenticate() + if sys.argv[1:] == ['--integrity-only']: + print('PASS_PR5580_NATIVE_PAIR_INTEGRITY_ONLY_NO_SCIENCE') + return + need(not sys.argv[1:], 'unsupported verifier arguments') + env = dict(os.environ,PYTHONDONTWRITEBYTECODE='1') + env.pop('PYTHONOPTIMIZE',None) + with tempfile.TemporaryDirectory(prefix='pr5580-native-pair-') as folder: + command = [sys.executable,'-I','-X','pycache_prefix='+folder+'/bytecode'] + command += ['-O'] if sys.flags.optimize else [] + command += ['-B',str(HERE/'capsule'/AUDIT/'check.py')] + with (Path(folder)/'stdout.json').open('wb+') as out,(Path(folder)/'stderr.txt').open('wb+') as err: + run = subprocess.run(command,cwd=HERE/'capsule',env=env,stdout=out,stderr=err, + timeout=60,preexec_fn=child_limits) + out.seek(0); actual = out.read() + err.seek(0); errors = err.read() + need(run.returncode == 0 and not errors, 'scientific subprocess failed: '+errors.decode(errors='replace')[:4000]) + need(actual == expected, 'complete original scientific output equality') + semantic(json.loads(actual)) + authenticate() + print('PASS_PR5580_NATIVE_PAIR_AUDIT') + print(json.dumps({'complete_original_output_sha256':sha(actual),'matrix_sha256':MATRIX_SHA, + 'pair':[3,737],'rank':4,'columns':512,'controls_rejected':8, + 'full_supplier_admission':False,'new_kappa':None},sort_keys=True,separators=(',',':'))) + + +if __name__ == '__main__': + main()