From d504eda8236e5cc5acabc10a373af1bab58b1c6f Mon Sep 17 00:00:00 2001 From: flyingviper <44173173+flyingviper@users.noreply.github.com> Date: Mon, 26 Oct 2026 13:00:04 +0100 Subject: [PATCH 1/2] Improve conditional kappa with two helper boundary functionals --- .../p104-two-boundary-helper-split/NOTICE | 47 +++ .../PRICING-EDITS.json | 22 ++ .../p104-two-boundary-helper-split/PROOF.md | 134 +++++++ .../p104-two-boundary-helper-split/README.md | 110 ++++++ .../RESULT.json | 366 ++++++++++++++++++ .../SOURCES.json | 176 +++++++++ .../p104-two-boundary-helper-split/TASK.json | 78 ++++ .../VALIDATION.md | 43 ++ .../VERIFY.json | 28 ++ .../WITNESS.json | 288 ++++++++++++++ .../WORD.json.gz | Bin 0 -> 120522 bytes .../p104-two-boundary-helper-split/checks.py | 120 ++++++ .../construct.py | 208 ++++++++++ .../independent-boundary-receipt.json | 12 + .../evidence/independent-caller-receipt.json | 40 ++ .../evidence/independent-scalar-receipt.json | 38 ++ .../evidence/independent-version-receipt.json | 21 + .../inputs/pr5713-source.tar | Bin 0 -> 2764800 bytes .../p104-two-boundary-helper-split/pricing.py | 177 +++++++++ .../p104-two-boundary-helper-split/sources.py | 73 ++++ .../p104-two-boundary-helper-split/verify.py | 104 +++++ 21 files changed, 2085 insertions(+) create mode 100644 research/p104-two-boundary-helper-split/NOTICE create mode 100644 research/p104-two-boundary-helper-split/PRICING-EDITS.json create mode 100644 research/p104-two-boundary-helper-split/PROOF.md create mode 100644 research/p104-two-boundary-helper-split/README.md create mode 100644 research/p104-two-boundary-helper-split/RESULT.json create mode 100644 research/p104-two-boundary-helper-split/SOURCES.json create mode 100644 research/p104-two-boundary-helper-split/TASK.json create mode 100644 research/p104-two-boundary-helper-split/VALIDATION.md create mode 100644 research/p104-two-boundary-helper-split/VERIFY.json create mode 100644 research/p104-two-boundary-helper-split/WITNESS.json create mode 100644 research/p104-two-boundary-helper-split/WORD.json.gz create mode 100644 research/p104-two-boundary-helper-split/checks.py create mode 100644 research/p104-two-boundary-helper-split/construct.py create mode 100644 research/p104-two-boundary-helper-split/evidence/independent-boundary-receipt.json create mode 100644 research/p104-two-boundary-helper-split/evidence/independent-caller-receipt.json create mode 100644 research/p104-two-boundary-helper-split/evidence/independent-scalar-receipt.json create mode 100644 research/p104-two-boundary-helper-split/evidence/independent-version-receipt.json create mode 100644 research/p104-two-boundary-helper-split/inputs/pr5713-source.tar create mode 100644 research/p104-two-boundary-helper-split/pricing.py create mode 100644 research/p104-two-boundary-helper-split/sources.py create mode 100644 research/p104-two-boundary-helper-split/verify.py diff --git a/research/p104-two-boundary-helper-split/NOTICE b/research/p104-two-boundary-helper-split/NOTICE new file mode 100644 index 0000000000..f83cecccf5 --- /dev/null +++ b/research/p104-two-boundary-helper-split/NOTICE @@ -0,0 +1,47 @@ +Four paid interior public-basis changes. +Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0. +No subagents. + +The following exact notice is retained from PR5660. + +New helper-subspace construction, proof and replay: +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The same assistant performed the construction and author-side checks. + +Retained contributions: +flyingviper: PR5605 shared relay, PR5612 delayed relay, and the PR5608/PR5613 +relay/split compositions. +Scratch-net: PR5606 prepared-helper identities and target debit. +Pierre-Loic Doulcet (hexapode): PR5565 commuting-contact construction, used as the exact source. +Ali Romman: PR5602 fixed boundary relations, PR5601 three-contact frame +change, PR5580 contact step, +and PR5544/5545 complete P104 caller. +Joel Pulikkan (GamingPuzzled): PR5569 priced helper handoff. +DreamingOfClouds: PR5561 free helper endpoints and PR5568 search tools. +thu-nmrc: PR5551 contact improvements. +Gareth Davidson (bitplane): PR2305 source composition. +David Arias: PR2152 coalesced P104 word. +Cinna Davis: PR2219 private reuse and the controller lineage. +Jacob Alan Sussman: productive mixed-target recursion. +zxv and Cao Yifan: exact intervals, compiler and native/pricing lineage. +GamingPuzzled: PR5472 successor handoff, a predecessor to the split concept. +The retained source notices preserve earlier geometry, BIT and analytic credit. + +The elementary rank-one basis identity is not claimed as a new general +linear-algebra theorem. The contribution is its explicit independent-target +use on this P104 word and the complete conditional kappa improvement. + +New contribution: Ali Romman, with substantial OpenAI Codex assistance. +The four-gate source-version rewrite composes zxv PR5643 and Ali Romman PR5644. +The A2 method retains Chris R/Clear1nsight PR3998 and ToikY PR4019 credit. +The compensated triangle method retains Cinna Davis PR4692 credit. +No subagents were used for this contribution. Apache-2.0. + +Concurrent PR5650 by zxv publishes the PR5643/PR5644 composition. PR5651 by +Ali Romman corroborates it. This package credits that released composition +and contributes the further four-gate placement. + +New work: distributed scalar updates on an unobserved public field interval, the exact witness and complete conditional price. Prepared for Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. The source archive retains all predecessor notices. + +Two-boundary main-assisted helper split and early cleanup: flyingviper with substantial +OpenAI Codex assistance, including independent AI review agents. Apache-2.0. diff --git a/research/p104-two-boundary-helper-split/PRICING-EDITS.json b/research/p104-two-boundary-helper-split/PRICING-EDITS.json new file mode 100644 index 0000000000..43c33c00cc --- /dev/null +++ b/research/p104-two-boundary-helper-split/PRICING-EDITS.json @@ -0,0 +1,22 @@ +[ + [ + "sum(targets.values()) == 12958 and sum(paid.values()) == 66348", + "sum(targets.values()) == 12976 and sum(paid.values()) == 66348" + ], + [ + "KAPPA, TESTED = Q('155457611/50000000000'), Q('124366089/40000000000')", + "KAPPA, TESTED = Q('31102457/10000000000'), Q('622049141/200000000000')" + ], + [ + "PREVIOUS = Q('.00310871312')", + "PREVIOUS = Q('.00310915222')" + ], + [ + "'kappa_decimal':'0.00310915222'", + "'kappa_decimal':'0.00311024570'" + ], + [ + "'previous_open_pr5660'", + "'previous_open_pr5713'" + ] +] diff --git a/research/p104-two-boundary-helper-split/PROOF.md b/research/p104-two-boundary-helper-split/PROOF.md new file mode 100644 index 0000000000..0eeb4ce7ec --- /dev/null +++ b/research/p104-two-boundary-helper-split/PROOF.md @@ -0,0 +1,134 @@ +# Two boundary functionals for helper708 + +## Source and scope + +This construction starts from PR5713 head +`a5348f7143f95fe0046b92b96172e30763c7d731`, package +`p104-temporal-updates`, canonical word SHA256 +`32adce6656e49aa020d3e6317f1c45c11fccadeeb67a8d506172d101703d2138`. +Its source lineage and authors remain credited. The new construction changes +scalar dependencies and adds one independent public helper while retaining +every paid MOVE. It retains nine owned labels, eleven lifetimes and peak two. +All owned identifiers increase by one to make room for the new public field743. + +The resulting word has744 independent public fields and nine dirty owned input +columns. Its canonical SHA256 is +`a1c8277189a811546bdc7b147d72e6a594504ff9585c9bf59a5681aa873abb01`. +The exact constructor and independent checks below are finite checks; the +publication verifier separately binds native maps, the complete caller, +ordinary allowances and the numerical pricing claim. + +## Initial basis and retirement + +Use the cut immediately after source event14330. Roles708 and154 share frame602, +of rank2. Let A be the scalar prefix, B its suffix, T=BA, e=e708, and define + +``` +a = e708^T A, c = e154^T A / 2, +h = a+c, d = B e708 = -2e126+2e188+e708, +k = h-e708^T. +``` + +Exact replay verifies that T has identity input columns and output rows for +helpers126,188,708. It also gives h708=d708=1, hd=1 and k708=kd=0. Every term of h has its +initial value at the empty frame. Its only main-input terms are +`(x154+x217)/4`. The covector c has zero coefficients on126,188,708. + +Apply the ordinary initial basis change + +``` +Q = (I+(d-e)e^T)(I-e k) = I+(d-e)e^T-d k. +``` + +The first factor is implemented after the second:87 initial ADDs +`708 -= k_r*r`, then `126 -=2*708` and `188 +=2*708`. All operands share the +empty frame, and the main fields are read but unchanged. The identities +`hQ=e^T`, `Qe=d` and `cQ=c` follow directly. + +At the cut, `708 +=154/2` restores exactly x708. Retire original708 at rank2. +A new independent helper starts in frame602 with arbitrary input z and replaces +every subsequent occurrence of original708. No subtraction of154/2 is applied +to this new helper, and no MOVE is inserted or removed. + +## Output normalization at an existing meeting + +Before retirement the transformed continuation value was `aQ=e^T-c`. Replacing +it by z injects `d*(z-e^T+c)` into the suffix. Combining this with TQ gives the +following three dirty full-frame values, with every other endpoint unchanged: + +``` +126 = x126 - 2*t, +188 = x188 + 2*t, +new = t = z-k+c. +``` + +The output nuisance is `g=k-c=a-e708^T`. It differs from the input nuisance k. +An independent backwards calculation expresses g using118 full-frame endpoint +fields. This provides a direct exact endpoint check, but the final program +uses the shorter current-version identity below. + +Original708 has only one destination update after the cut: +`708 +=146/2` at source event17433, at frame127 of rank9. Because the original +endpoint is x708, the exact value of146 at that event satisfies +`g=-value(146)/2`. In the candidate the renamed update is event17523, +`new +=146/2`. Immediately after it, insert these three ordinary operations: + +``` +126 += 2*new +188 -= 2*new +new -= 146/2 +``` + +The first two remove the126/188 defects at this point; later ADDs still build +their final values. The third restores new to z. Their order is +necessary: applying the inverse146 update first leaves errors at126 and188. +The literal suffix has no later source reads from126,188 or new, and no later +write to new. Later writes to126 and188 are only ADDs at frame127. Consequently +the first two normalizations commute with that suffix, and the source146 is +read at precisely its required live version. A separate covector check verifies +that this146 value is unchanged by the initial basis and raw-z replacement: its +126/188/708 input coefficients and its response to the cut perturbation vanish. + +The pure constructor first builds the equivalent terminal normalization and +then performs this checked substitution: three early operations replace the +two terminal restorations plus118 final correction operations. No algebraic +search, historical-value assumption, or new transport is used. + +## Complete signed invoice + +The paid histogram is unchanged. Original708's H9 productive target is replaced +by its retired H2 target and the new independent helper's H7 target: + +``` +Delta paid = 0 +Delta targets = H2+H7-H9 +Delta(targets-paid) = H2+H7-H9 > 0. +``` + +For `H_r=r^t` and09^t`. Rank mass +is unchanged. The eighteen local calls multiply this delta by18. The complete +paid occurrence count stays66348 and the productive count increases to12976; +the complete rank surplus remains760. The extra independent helper's ordinary +routing and allocation costs are still charged. + +The final local word has25546 events and scalar allowance221474. Its paid +histogram is `{1:2184,2:459,3:495,4:92,5:159,6:22,7:15}` and its productive +histogram is `{1:2,2:5,4:91,5:6,7:6,8:15,9:411}`. + +## Finite verification + +The pure constructor accepts only the pinned canonical source and returns +the exact final candidate plus a witness. The independent literal checker +verifies all753 arbitrary input columns, frames, owned initialization/use/clear +rules, both complete local histograms and the ordinary scalar count. A separate +backwards implementation verifies all753 transpose columns. + +Ten actual mutations are rejected under ordinary Python and `python -O`: +missing retirement; either omitted early restoration; omitted or wrong-sign146 +inverse; incorrect cleanup order; reinstated obsolete decoder; omitted owned +identifier shift; overstated old helper target; and wrong new helper boundary. + +Independent agents separately derived the88-term h and118-term output +functional and checked the temporal simplification. These are independent +agent calculations, not independent human review or proof-kernel acceptance. +Prepared for flyingviper with substantial OpenAI Codex assistance. Apache-2.0. diff --git a/research/p104-two-boundary-helper-split/README.md b/research/p104-two-boundary-helper-split/README.md new file mode 100644 index 0000000000..a79feef32d --- /dev/null +++ b/research/p104-two-boundary-helper-split/README.md @@ -0,0 +1,110 @@ +# A P104 helper split using different input and output bases + +This package improves the complete conditional exponent saving from +**0.00310915222 to 0.00311024570**, building on Ali Romman's +[PR5713](https://github.com/CrocSwap/integer-mult-bounds/pull/5713), head +`a5348f7143f95fe0046b92b96172e30763c7d731`. +The increase is 0.00000109348, approximately 0.0352% over that source. +This is a modest improvement; the selected frontier is unchanged. + +The initial helper basis can use main inputs at zero-dimensional frames. +Those inputs have arbitrary values: they are not initialized zeros. An actual +coframed relation later restores the old helper and permits a new independent +helper to take its place. A different, legal output combination restores the +remaining fields. Requiring the same combination at both boundaries would +miss this split. The construction adds no paid recursive transport. + +## Complete cost + +For `H_r = r^(1-kappa)`, one local call changes the signed invoice by + +``` +paid: unchanged +targets: +H2 +H7 -H9 +targets-paid: H2 +H7 -H9 > 0. +``` + +Strict subadditivity proves the positive gain for `0 < kappa < 1`. All added +ordinary work is separately funded. The complete caller uses eighteen LOCALs. + +| Quantity | Verified value | +|---|---:| +| Conditional kappa | 0.00311024570 | +| Strict raw crossing enclosure | (0.00311024572012, 0.00311024572013) | +| Complete paid jobs | 66,348 | +| Complete productive fields | 12,976 | +| Complete rank surplus | 760 | +| Local independent inputs / owned labels | 744 / 9 | +| Local owned lifetimes / peak simultaneous | 11 / 2 | +| Distinct native maps checked | 2,917 | +| Local scalar / routing allowance | 221,474 / 5,166,000 | + +Original helper708 retires at rank two. New helper743 starts there and follows +the original continuation to rank nine. All nine owned identifiers shift by +one, without a new lifetime. The 25,546-instruction word contains 89 initial +basis additions, one retirement addition and three cleanup additions. At the +cleanup contact, the exact current146 value replaces a 118-term terminal +functional; the proof verifies both its version and the required order. + +## Reproduction and checks + +```sh +python3 -B scripts/research_package.py --package research/p104-two-boundary-helper-split +python3 -B scripts/check_research_commit.py --package research/p104-two-boundary-helper-split --check-source-history +``` + +Expected marker: `PASS_P104_TWO_BOUNDARY_SPLIT_KAPPA_00311024570`. +The registered normal and optimized commands check the exact construction, +all 753 arbitrary-input columns, separate dense transpose, actual binary +coframes and owned intervals, every native map and absolute phase, and the +complete physical caller. The price replay uses two exact moment engines, +compiler completion and all 54 strict plus four functional outer predicates. +Complete WORD, WITNESS and RESULT payloads are compared; compression container +bytes are not used as mathematical equality. + +Ten actual instruction/boundary mutations are rejected, covering missing or +wrong retirement/cleanup, reversed cleanup order, the obsolete fresh decoder, +wrong helper boundaries and an omitted owned-identifier shift. Two further +invoice controls reject an unpaid query and an invented target. Inherited +caller, phase, cutoff and BIT controls remain active. See [PROOF.md](PROOF.md). + +Separate agents derived the input basis and output correction, verified the +exact intermediate146 value, and replayed all scalar columns and ownership +without importing the constructor. Compact receipts are retained in `evidence/`. +The final caller-audit and publication checks are reported in +[VALIDATION.md](VALIDATION.md). Independent AI checks are not independent human +or formal mathematical acceptance. + +## Source custody, credit and limits + +Main provenance is `df0137efd35e11b4445734bf612bdd4c7ebc330c`. +The exact 21-file PR5713 export is authenticated before source imports; all +nested source checks remain active. The complete price adapter differs only +by the explicit substitutions in `PRICING-EDITS.json`. Frozen predecessors and +shared framework files are unchanged. + +Credit Ali Romman's PR5713 temporal update and predecessor proofs, Joel +Pulikkan/GamingPuzzled's PR5684, the retained helper-split constructions, and +the caller, native and pricing authors listed in NOTICE. Chris R/Clear1nsight's +PR5550 and the maintainer's PR5599 review supply the separate caller lineage. +The elementary linear basis identities are standard; the contribution is this +source-specific construction, legal schedule and complete invoice. Prepared +for flyingviper with substantial OpenAI Codex assistance, including separate +verification and literature agents. Apache-2.0. + +The native all-width, owned erasure, compiler, precision/tape and +analytic/recovery assumptions remain. COPY is an ADD into an ideally initialized +owned zero with numerical residuals retained. No complete rounded multiplier +or huge uniform word is materialized. This package claims neither a large gain, +a general optimality result, nor admission to the selected frontier. + +## Open next questions + +- Independently inspect the two boundary functionals and early cleanup order; + both matter to the endpoint identity. +- Find another pair of legal boundary functionals at an actual coframed cut, + with the complete native, helper and ordinary bill included. +- Audit one remaining source-specific framework assumption before promoting + a complete supplier into the selected result. + +Concrete first steps and blockers are recorded in `TASK.json`. diff --git a/research/p104-two-boundary-helper-split/RESULT.json b/research/p104-two-boundary-helper-split/RESULT.json new file mode 100644 index 0000000000..a83d70e025 --- /dev/null +++ b/research/p104-two-boundary-helper-split/RESULT.json @@ -0,0 +1,366 @@ +{ + "complete_cost": { + "compiler": { + "H": 80511200000000000, + "N": "2^80511200000000000", + "eta": { + "lower": "0.000000130293974939177582367425", + "upper": "0.000000130293974939177582367426" + }, + "gap": "1/1400000000000", + "integer_test_exponent": 57508, + "logarithm_power": 1024, + "theta": "63/64", + "uniform_saving": "2177171993/700000000000", + "word_materialized": false + }, + "full_forward_calls": 18, + "gain": "27337/25000000000", + "kappa": "31102457/10000000000", + "kappa_decimal": "0.00311024570", + "margin_at_previous": { + "lower": "0.265423369162460429568591881457", + "upper": "0.265423369162460429568591881458" + }, + "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_paid_rank_mass": 5987, + "local_routes": 5166000, + "local_scalar": 221474, + "peak_owned_fields": 2, + "raw_budget": 1000000000, + "raw_scalar_upper": 184647552, + "tensor_native_growth_bound": "Each rank-r Gaussian has row l1 norm at most 2^(rf); use local_paid_rank_mass for the whole word." + }, + "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": "348599999999253/350000000000000", + "fixed_halo_explicit_metadata_branch": "26950000000001/350000000000", + "new_BIT_row_stock_sublinear_in_active_group": "1395799999997009/1400000000000000", + "new_semantic_group_guard": "3/1400000000000" + }, + "margins": { + "boundary_algebraic_matrix": "6096081577595645656017/1960000000000000000000000", + "fused_gaussian": "6096081577586936968051/1960000000000000000000000", + "global_coordinate_router": "272146499/87500000000", + "group_bit_router": "381005098686683560503/122500000000000000000000", + "group_scans": "699999999999/700000000000", + "main_transform": "6096081576195645656017/1960000000000000000000000", + "microbox_face_corrections": "26950000000001/350000000000", + "polynomial_products": "1399999999999/1400000000000", + "sparse_union_movement": "802346081577595645656017/1960000000000000000000000" + }, + "parameters": { + "a": "272146499/87500000000", + "b": "870868797/280000000000", + "beta": "1399999999997/1400000000000", + "bit_saving": "17/5000", + "cap_xi": "1782346081576195645656017/1960000000000000000000000", + "complex_uniform_saving": "2177171993/700000000000", + "d": "1/1400000000000", + "epsilon": "1399999999999/1400000000000", + "kappa": "31102457/10000000000", + "lambda_": "398755901719/400000000000", + "lambda_prime": "1395645656017/1400000000000", + "layout": "1/1400000000000", + "q": "4354343983/1400000000000", + "r0": "1/14000000000000", + "stop": "1/1400000000000", + "tested_saving": "622049141/200000000000" + }, + "strict_checks": { + "actual_bit_above_effective": "25353501/87500000000", + "actual_logarithmic_gamma_guard": "1/1400000000000", + "actual_logarithmic_group_guard": "177653918425904354343983/980000000000000000000000", + "alpha_logarithm_absorption": "1/14000000000000", + "boundary_algebraic_matrix_above_kappa": "5595645656017/1960000000000000000000000", + "cap_above_band": "802346081576195645656017/1960000000000000000000000", + "cap_below_cell": "177653918422404354343983/1960000000000000000000000", + "cap_below_phase_cell_power": "2137653918423804354343983/1960000000000000000000000", + "complex_above_effective": "1/1400000000000", + "complex_below_one_over_32": "7879131203/280000000000", + "complex_endpoint": "1/700000000000", + "epsilon_below_one": "1/1400000000000", + "epsilon_positive": "1399999999999/1400000000000", + "fine_prime_halo_umbrella": "7/2", + "fused_gaussian_above_kappa": "5586936968051/1960000000000000000000000", + "gaussian_above_main": "695645656017/980000000000000000000000", + "global_coordinate_router_above_kappa": "1/350000000000", + "global_gamma_power_slack": "9/14000000000000", + "group_below_dimension": "1/700000000000", + "group_bit_router_above_kappa": "436683560503/122500000000000000000000", + "group_gauge_power_slack": "177653918425834354343983/980000000000000000000000", + "group_key_fits_record": "1/700000000000", + "group_positive": "1399999999997/1400000000000", + "group_scans_above_kappa": "697822828009/700000000000", + "halo_covers_generic_inverse_radius": "5", + "improvement_over_user_baseline": "689637640400418148631/500000000000000000000000", + "lambda_above_internal": "1/2800000000000", + "lambda_above_sigma": "3/2800000000000", + "lambda_above_tau": "1/2800000000000", + "lambda_prime_above_lambda": "1/2800000000000", + "lambda_prime_above_leaf": "559129131203/392000000000000000000000", + "leaf_saving_above_effective": "279129131203/392000000000000000000000", + "main_transform_above_kappa": "4195645656017/1960000000000000000000000", + "membership_arithmetic_fits_record": "1/1400000000000", + "microbox_face_corrections_above_kappa": "13474455707003/175000000000", + "microbox_halo_volume": "110600000000003/1400000000000", + "new_complex_uniform_saving_above_b": "1/1400000000000", + "new_semantic_guard_with_C1_one": "1/1400000000000", + "polynomial_products_above_kappa": "1395645656019/1400000000000", + "positive_layout_slack": "1/1400000000000", + "q_below_effective": "1/1400000000000", + "q_below_internal": "1/1400000000000", + "q_below_leaf": "559129131203/392000000000000000000000", + "q_positive": "4354343983/1400000000000", + "short_record_fallback": "279129131203/280000000000", + "source_axis_superpolynomial": "1/1400000000000", + "sparse_union_movement_above_kappa": "796250000005595645656017/1960000000000000000000000", + "stop_below_one": "1399999999999/1400000000000", + "stop_positive": "1/1400000000000", + "strassen_integer_power_gap": "1951441519231", + "support_router_span": "3/1400000000000", + "theta_positive_polynomial_power": "2", + "union_header_fits_record": "3/1400000000000", + "union_tag_work_per_visit_fits_record": "3/1400000000000" + } + }, + "paid": { + "1": 40872, + "16": 416, + "2": 8262, + "24": 416, + "3": 8910, + "32": 416, + "4": 1656, + "40": 416, + "48": 416, + "5": 2862, + "56": 416, + "6": 396, + "64": 416, + "7": 270, + "72": 208 + }, + "paid_calls": 66348, + "previous_open_pr5713": "155457611/50000000000", + "productive_fields": 12976, + "query_shears": 15, + "rank_mass_surplus": 760, + "raw_ceiling": { + "derivative_upper": "-369633362694406560545046337101738171609683586723251074624328749/1569275433846670190958947355801916604025588861116008628224", + "interval": [ + "0", + "17/5000" + ] + }, + "raw_headroom": [ + "503/25000000000000", + "2013/100000000000000" + ], + "raw_root_interval": [ + "77756143003/25000000000000", + "311024572013/100000000000000" + ], + "relative_gain_percent": 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Complete conditional kappa0.00311024570.", + "ai_assistance": "Substantial OpenAI Codex assistance for construction, exact scripts, primary replay, independent agent checks, literature review and writing. Not independent human or formal acceptance.", + "author": "flyingviper with substantial OpenAI Codex assistance", + "base_commit": "df0137efd35e11b4445734bf612bdd4c7ebc330c", + "bottleneck_link": "Changed boundary bases increase productive helper targets without adding native recursive jobs; all ordinary basis preparation and cleanup are funded.", + "budget_minutes": 180, + "evidence": "PROOF.md, WITNESS.json, RESULT.json and VALIDATION.md", + "open_questions": [ + { + "blocked_by": "No known technical blocker for this fixed finite construction.", + "first_step": "Replay the source-bound constructor, omitted-repair control and complete full caller.", + "question": "Can a separate reviewer verify the different input/output bases and early cleanup order?", + "why_it_matters": "Requiring the same correction at both boundaries misses a valid split, while reversing the actual normalization order breaks endpoints." + }, + { + "blocked_by": "No additional complete witness is claimed.", + "first_step": "Identify a coframed cut correction linking a legal rank-zero input functional to a legal full-frame output functional; check the complete caller and all ordinary costs.", + "question": "Do other pairs of legal boundary functionals support profitable helper splits?", + "why_it_matters": "The current gain is small; the mechanism may be reusable." + }, + { + "blocked_by": "The complete rounded multiplier and huge uniform word are not materialized.", + "first_step": "Select one source-specific native, owned-erasure, compiler, precision/tape or analytic premise from the selected review.", + "question": "Can the retained framework assumptions be resolved?", + "why_it_matters": "The resulting exponent saving remains conditional." + } + ], + "original_card": { + "acceptance_gate": "A new physically realizable contract outside the frozen catalogue whose per-call profile, screened with ceiling.ceiling(), beats the selected word's packing ceiling; a lower cap does not establish identical circuitry or order attainable optima, and is insufficient to pass the stronger-budget target under this model. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "allowed_variations": [ + "Narrow to one changed boundary or helper type with explicit counts.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "bottleneck_link": "Packing of the selected word is capped at +0.87% (ceiling model); only a lower local excess spend or a changed coverage law raises the cap.", + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin.", + "first_step": { + "command": [ + "python3", + "-B", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "id": "complex-new-helper-inventory", + "methods": [ + "Propose a changed helper inventory and derive an optimistic exact moment.", + "Design a small completed instance and independently verify its endpoint and rank bill." + ], + "overlap_terms": [ + "helper inventory", + "heterogeneous-owner", + "mutable leaver" + ], + "question": "Can a new local cost interface change the deficit-to-recursive-cost ratio beyond current packing?", + "scope_change_triggers": [ + "Mixing only providers already inside the pinned catalogue.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/heterogeneous-owner-assembly/README.md", + "certificates/selected-result.json", + "research/selected-k8-unrestricted-ends/README.md" + ] + }, + "outcome": "completed", + "priority_revision": 7, + "schema_version": 1, + "scope_change_reason": "The initial basis may use arbitrary main inputs at rank-zero frames while a different full-frame functional restores outputs. The cut coframe relates these two legal boundary changes; the unchanged paid invoice and new targets give a complete signed gain.", + "scope_status": "changed", + "stop_rule": "Verify one complete source-bound candidate and publish. Further expansion requires a distinct changed dependency with its full repair budget.", + "task_id": "complex-new-helper-inventory" +} diff --git a/research/p104-two-boundary-helper-split/VALIDATION.md b/research/p104-two-boundary-helper-split/VALIDATION.md new file mode 100644 index 0000000000..f54ca0b432 --- /dev/null +++ b/research/p104-two-boundary-helper-split/VALIDATION.md @@ -0,0 +1,43 @@ +# Validation + +The complete source-bound primary replay and the registered normal/optimized +pair pass with marker PASS_P104_TWO_BOUNDARY_SPLIT_KAPPA_00311024570. Both +registered commands reproduce complete WORD, WITNESS and RESULT payloads. +They retain753-column forward/transpose checks,2917 native maps and phases, +complete caller, two exact moment engines, compiler,54 strict plus4functional +outer predicates,10 actual word mutations and2 invoice mutations. + +Separate agents checked the boundary algebra, exact live146 version, scalar +columns, binary coframes, lifetime rules, source custody and pricing edits. +The final independent caller run passed in26.718seconds with sampled peak RSS +72,060,928bytes, below its120-second/512-MiB caps. It checked66348 paid jobs, +12976 targets,306 phase anchors,9648 fresh helpers and all16 fault controls. +Its ordinary allowance124341508 is below184647552. Complete caller output +SHA256: fea5c02bde0fef9a424da9dffb70767c55c102b6324ce4b0ad83f0850cef8c64. +Compact exact-candidate receipts are retained in evidence/. The boundary +receipt explicitly concerns the equivalent long form; scalar/version/caller +receipts concern the final short word. No receipt is silently rebound. + +The independent caller uses the explicit-owned adapter published in PR5717 +at41fda9302e5de79911b0c91c6161beaf386798b3. It checks caller and normalizer +obligations; it does not independently replay all paid native maps or admit +the machine/precision premises. Those limits remain in its receipt. + +Publication gates are the committed-byte/source-history check, official export, +export integrity and Git-free read-only replay. Their results are reported in +the PR after completion so this committed document need not attest to its own +future export. Main was refreshed atdf0137efd35e11b4445734bf612bdd4c7ebc330c. + +## Inherited CI limitation + +The unchanged canonical-main test_current_ci_section_matches_selected_record +fails on its review and source_manifest links: PROOF-REVIEW.md and +frontier5599-source.json are missing from the current-CI documentation section. +The same two failures reproduce in the focused six-test file locally; both +that test and current-status.md are byte-identical to canonical main. The +hosted PR5717 plan job reproduces the failures and skips scientific replay: +https://github.com/CrocSwap/integer-mult-bounds/actions/runs/40314285344/job/121542860148 + +Existing PR5703 supplies the documentation fix. This package changes no shared +documentation, tests, workflows or selected-result values. 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zp*`(`49b(BE&lxHLpC>2?#$xu@@_5EyWRZ!a%^S$|3{QRefh=LU!8>cEfVZM-o(EQ z^v}Jfk?LKTKsXBFbOz^XNoFpPyCX#z824L?=ASnlHV)#>wY6)t*6ygx z2oK9}UGxmdgfv0=ywHA&=Vj^fJ_2p z0U%Y0MXnt{aX;0P;ubAlZRqiN-f-cQ5oI7K6G2%7iWI=OQu840mv{4szx?{EFaG$z zJRHS}9DnfpKm6G_=5v(Dy=?toXZh><4?lnVZuYdXQ{WtG^_bT$gJoDYp z-+cG&5AR?9@a|(R`tr-SKmG9ikMBRc{P6z!A76g{_~H9sUVi@WZ$JI=^38{D-~agQ V$It7#&;I_|KLFzDGH*IP8~~(AzF7bO literal 0 HcmV?d00001 diff --git a/research/p104-two-boundary-helper-split/checks.py b/research/p104-two-boundary-helper-split/checks.py new file mode 100644 index 0000000000..308805a32d --- /dev/null +++ b/research/p104-two-boundary-helper-split/checks.py @@ -0,0 +1,120 @@ +"""Independent literal candidate walk and focused actual invalid-word controls. + +No constructor imports, source search, native engine, or pricing dependencies. +Prepared with substantial OpenAI Codex assistance for flyingviper. Apache-2.0. +""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction + +def need(ok,message): + if not ok:raise ValueError(message) + +def binary_span(basis): + result={0} + for x in basis: + need(type(x) is int and 0=n and charts[dst] is None,'Owned INIT uses an inactive owned label') + active.add(dst);unwritten.add(dst);charts[dst]=e[2];values[dst]={} + lifetimes+=1;peak=max(peak,len(active));scalar+=2 + elif op=='CLEAR': + need(dst in active and charts[dst]==e[2],'Matching owned CLEAR') + active.remove(dst);unwritten.discard(dst);charts[dst]=None;values[dst]={};scalar+=2 + elif op=='MOVE': + _,_,a,b,private=e + need(charts[dst]==a and private==(dst in active),'MOVE source and ownership') + need(frames[b] cut and r == pivot: + return fresh + return r + 1 if r >= n else r + for index, original in enumerate(w['program']): + e = deepcopy(original) + e[1] = rename(e[1], index) + if e[0] in ('ADD', 'COPY'): + e[2] = rename(e[2], index) + program.append(e) + if index == cut: + program.append(['ADD', pivot, 154, '1/2', 602]) + program.extend([['ADD', 126, fresh, '2', 127], ['ADD', 188, fresh, '-2', 127]]) + replayed = [{r: Q(1)} for r in range(total + 1)] + for e in program: + apply(replayed, e) + wrong = [] + for r, row in enumerate(replayed): + expected = {r: Q(1)} if r < n + 1 else {} + if r - 112 in w['live']: + expected[r - 112] = Q(1) + if row != expected: + wrong.append(r) + need(wrong == [fresh], wrong) + correction = {fresh: Q(1)} + add(correction, replayed[fresh], Q(-1)) + need(fresh not in correction and all((r < n + 1 and candidate['final'][r] == 127 for r in correction)), "Exact constructor obligation: fresh not in correction and all((r < n + 1 and candidate['final'][r] == 127 for r in correction))") + need(not {154, 217, pivot} & set(correction), 'Exact constructor obligation: not {154, 217, pivot} & set(correction)') + cleanup = [['ADD', fresh, r, str(q), 127] for r, q in sorted(correction.items())] + program.extend(cleanup) + candidate['program'] = program + for e in cleanup: + apply(replayed, e) + for r, row in enumerate(replayed): + expected = {r: Q(1)} if r < n + 1 else {} + if r - 112 in w['live']: + expected[r - 112] = Q(1) + need(row == expected, (r, row, expected)) + + def span(b): + s = {0} + for x in b: + s |= {x ^ y for y in tuple(s)} + return s + frames = [span(b) for b in candidate['frames']] + current = candidate['initial'] + [None] * candidate['owned_fields'] + active = set() + paid = Counter() + peak = 0 + lifetimes = 0 + scalar = 0 + for e in program: + op, r = e[:2] + if op == 'INIT': + need(r >= n + 1 and current[r] is None, 'Exact constructor obligation: r >= n + 1 and current[r] is None') + active.add(r) + current[r] = e[2] + peak = max(peak, len(active)) + lifetimes += 1 + scalar += 2 + elif op == 'CLEAR': + need(r in active and current[r] == e[2], 'Exact constructor obligation: r in active and current[r] == e[2]') + active.remove(r) + current[r] = None + scalar += 2 + elif op == 'MOVE': + _, _, a, b, private = e + need(current[r] == a and private == (r in active), 'Exact constructor obligation: current[r] == a and private == (r in active)') + need(frames[b] < frames[a] if private else frames[a] < frames[b], 'Exact constructor obligation: frames[b] < frames[a] if private else frames[a] < frames[b]') + paid[abs(len(candidate['frames'][a]) - len(candidate['frames'][b]))] += 1 + current[r] = b + else: + need(current[r] == e[-1], 'Exact constructor obligation: current[r] == e[-1]') + if op in ('ADD', 'COPY'): + need(current[e[2]] == e[-1] and e[2] != r, 'Exact constructor obligation: current[e[2]] == e[-1] and e[2] != r') + q = Q(e[-2]) + a, b = (abs(q.numerator), q.denominator) + need(q and b & b - 1 == 0 and (abs(q) + 1 < 2 ** 16), 'Exact constructor obligation: q and b & b - 1 == 0 and (abs(q) + 1 < 2 ** 16)') + scalar += 2 * (abs(a.bit_length() - b.bit_length()) + (q < 0)) if op == 'SCALE' else 2 * (2 + a.bit_length() + a.bit_count() + b.bit_length() - 1) + need(not active and current[:n + 1] == candidate['final'], "Exact constructor obligation: not active and current[:n + 1] == candidate['final']") + oldpaid = Counter((abs(len(w['frames'][e[2]]) - len(w['frames'][e[3]])) for e in w['program'] if e[0] == 'MOVE')) + targets = Counter((len(candidate['frames'][candidate['final'][r]]) - len(candidate['frames'][candidate['initial'][r]]) for r in range(n + 1) if r not in main)) + oldtargets = Counter((len(w['frames'][w['final'][r]]) - len(w['frames'][w['initial'][r]]) for r in range(n) if r not in main)) + + def delta(a, b): + return {str(r): a[r] - b[r] for r in sorted(a.keys() | b.keys()) if a[r] != b[r]} + need(delta(paid, oldpaid) == {}, "Exact constructor obligation: delta(paid, oldpaid) == {}") + need(delta(targets, oldtargets) == {'2': 1, '7': 1, '9': -1}, "Exact constructor obligation: delta(targets, oldtargets) == {'2': 1, '7': 1, '9': -1}") + canonical = json.dumps(candidate, sort_keys=True, separators=(',', ':')).encode() + receipt = dict(status='PASS_EXACT_SCALAR_CHART_OWNERSHIP', source_head='a5348f7143f95fe0046b92b96172e30763c7d731', source_canonical_sha256=sha256(source_bytes).hexdigest(), word_canonical_sha256=sha256(canonical).hexdigest(), public_inputs=n + 1, owned_fields=candidate['owned_fields'], owned_lifetimes=lifetimes, owned_peak=peak, events=len(program), initial_ordinary_adds=prefix_count, cleanup_adds=len(cleanup), scalar_allowance=scalar, local_paid=dict(paid), local_targets=dict(targets), paid_delta=delta(paid, oldpaid), target_delta=delta(targets, oldtargets), signed_target_minus_paid_delta={'2': 1, '7': 1, '9': -1}, h={str(r): str(q) for r, q in sorted(h.items())}, full9_cleanup={str(r): str(q) for r, q in sorted(correction.items())}, scope='All753 rational input columns/endpoints plus exact frame containment and owned intervals. Native maps, full caller, ordinary compiler and complete pricing remain unrun.') + return (candidate, receipt) + + +def construct(source): + """Reconstruct one pinned split and commute its normalization to an actual meeting.""" + word,witness=_construct_terminal(source) + intermediate=sha256(json.dumps(word,sort_keys=True,separators=(',',':')).encode()).hexdigest() + need(intermediate=='892cfd5907ee1420b40cd511098c48eb3251501a7e6196367b3bfb4189e5d1a6','Exact terminal split witness') + p=word['program'];fresh=word['public']-1 + restores=[['ADD',126,fresh,'2',127],['ADD',188,fresh,'-2',127]] + need(p[-120:-118]==restores,'Actual terminal normalization order') + need(all(e[0]=='ADD' and e[1]==fresh and e[-1]==127 for e in p[-118:]),'Actual118-term terminal cleanup') + body=p[:-120] + anchor=['ADD',fresh,146,'1/2',127] + need(body.count(anchor)==1,'Unique actual146 correction version') + at=body.index(anchor) + need(at==17523,'Exact candidate correction event') + for event in body[at+1:]: + need(not (event[0] in ('ADD','COPY') and event[2] in (126,188,fresh)),'No later reads from normalized fields') + need(event[1]!=fresh,'No later continuation write') + if event[1] in (126,188): + need(event[0]=='ADD' and event[-1]==127,'Normalization commutes with later destination ADDs') + inserted=restores+[['ADD',fresh,146,'-1/2',127]] + word['program']=body[:at+1]+inserted+body[at+1:] + word['schema']='p104-terminal-main-split-short-cleanup/1' + canonical=json.dumps(word,sort_keys=True,separators=(',',':')).encode() + digest=sha256(canonical).hexdigest() + need(digest=='a1c8277189a811546bdc7b147d72e6a594504ff9585c9bf59a5681aa873abb01','Frozen final candidate') + def scalar_cost(e): + op=e[0] + if op=='MOVE':return 0 + if op in ('INIT','CLEAR'):return 2 + q=Q(e[-2]);a,b=abs(q.numerator),q.denominator + if op=='SCALE':return 2*(abs(a.bit_length()-b.bit_length())+(q<0)) + return 2*(2+a.bit_length()+a.bit_count()+b.bit_length()-1) + scalar=sum(scalar_cost(e) for e in word['program']) + need(scalar==221474 and len(word['program'])==25546,'Literal final scalar/event counts') + witness=dict(witness) + witness['terminal_intermediate_canonical_sha256']=intermediate + witness['terminal_full9_cleanup']=witness.pop('full9_cleanup') + witness['terminal_cleanup_adds']=witness.pop('cleanup_adds') + witness.update(word_canonical_sha256=digest,events=len(word['program']),scalar_allowance=scalar, + after_candidate_event=at,cleanup_anchor=anchor,early_cleanup=inserted, + removed_terminal_events=120,early_cleanup_adds=3, + scope='Exact source-bound split, frame/ownership/invoice checks, then a validated three-operation temporal normalization. Independent full final scalar and native/caller/pricing checks are separate obligations.') + return word,witness diff --git a/research/p104-two-boundary-helper-split/evidence/independent-boundary-receipt.json b/research/p104-two-boundary-helper-split/evidence/independent-boundary-receipt.json new file mode 100644 index 0000000000..2ff3807f9d --- /dev/null +++ b/research/p104-two-boundary-helper-split/evidence/independent-boundary-receipt.json @@ -0,0 +1,12 @@ +{ + "status": "PASS_INDEPENDENT_TERMINAL_VARIANT_MATCH", + "cleanup_terms": 118, + "word_canonical_sha256": "892cfd5907ee1420b40cd511098c48eb3251501a7e6196367b3bfb4189e5d1a6", + "paid_delta": {}, + "target_delta": { + "2": 1, + "7": 1, + "9": -1 + }, + "scope": "118-term adjoint correction and h match independently; no added continuation MOVE and no added paid rank. Root owns full replay." +} diff --git a/research/p104-two-boundary-helper-split/evidence/independent-caller-receipt.json b/research/p104-two-boundary-helper-split/evidence/independent-caller-receipt.json new file mode 100644 index 0000000000..f5dc48b2dc --- /dev/null +++ b/research/p104-two-boundary-helper-split/evidence/independent-caller-receipt.json @@ -0,0 +1,40 @@ +{ + "candidate_canonical_sha256": "a1c8277189a811546bdc7b147d72e6a594504ff9585c9bf59a5681aa873abb01", + "checker_reference": "PR5717 at41fda9302e5de79911b0c91c6161beaf386798b3", + "controls": { + "exterior_sign": "literal complete free-Laurent endpoint and exterior signs", + "global_phase": "nonzero absolute spectral phase", + "helper_alias_collision": "helper output alias collision", + "laurent_exponent_overflow": "Laurent exponent overflow rejected, never wrapped", + "lost_idle": "literal complete free-Laurent endpoint and exterior signs", + "missing_final_main_translation": "missing final main translation", + "missing_inverse_Q_correction": "literal clear/copy/positive-child/correct/add/clear chronology", + "omitted_contact_translation": "missing nonzero physical contact translation", + "overlapping_local_owned_alias": "Overlapping owned lifetime alias", + "owned_lifetime": "owned query/source/destination separation", + "owned_marked_productive": "Distinct independent public roles", + "reused_owned_label_before_clear": "Owned initialization chronology", + "stale_independent_inventory": "Every field is independent or owned", + "stale_source_lifetime_inventory": "Independently recounted input and lifetime inventory", + "thin_query_overlaps_local_owned": "Caller owned intervals cannot overlap on one field", + "wrong_route": "contact absolute/quadratic phase" + }, + "native_checks": { + "distinct_signed_Pauli_and_independent_phase_anchors": 306, + "fresh_helpers": 9648, + "owned_peak": 2 + }, + "ordinary": { + "abstract_address_phase_scalar_pass_upper": 124341508, + "local_contact_pass_bound": 306, + "machine_and_precision_admitted": false, + "main_map_pair_pass_bound": 699, + "meaning": "fixed finite descriptor passes under retained per-pass/tape contract; not a new tape or precision theorem", + "paid_native_maps_replayed": false, + "retained_raw_scalar_upper": 184647552 + }, + "output_sha256": "fea5c02bde0fef9a424da9dffb70767c55c102b6324ce4b0ad83f0850cef8c64", + "paid": 66348, + "status": "PASS_CANDIDATE_SCOPED_CALLER", + "targets": 12976 +} diff --git a/research/p104-two-boundary-helper-split/evidence/independent-scalar-receipt.json b/research/p104-two-boundary-helper-split/evidence/independent-scalar-receipt.json new file mode 100644 index 0000000000..5ab83bf2af --- /dev/null +++ b/research/p104-two-boundary-helper-split/evidence/independent-scalar-receipt.json @@ -0,0 +1,38 @@ +{ + "status": "PASS_INDEPENDENT_ALL_753_SCALAR_COLUMNS_AND_OWNERSHIP", + "candidate_canonical_sha256": "a1c8277189a811546bdc7b147d72e6a594504ff9585c9bf59a5681aa873abb01", + "fields": 753, + "independent_public": 744, + "dirty_owned": 9, + "events": 25546, + "peak_sparse_row_terms": 193, + "owned_lifetimes": 11, + "owned_peak": 2, + "paid": { + "1": 2184, + "2": 459, + "5": 159, + "4": 92, + "3": 495, + "7": 15, + "6": 22 + }, + "helpers": { + "9": 411, + "2": 5, + "8": 15, + "4": 91, + "5": 6, + "7": 6, + "1": 2 + }, + "paid_delta": {}, + "target_delta": { + "2": 1, + "7": 1, + "9": -1 + }, + "scalar_allowance": 221474, + "local_route_allowance": 5166000, + "scope": "Full exact rational scalar endpoints with independent dirty owned inputs, actual binary coframes and ownership, signed inventory and scalar/routing recount. No native/caller/compiler/pricing claim." +} diff --git a/research/p104-two-boundary-helper-split/evidence/independent-version-receipt.json b/research/p104-two-boundary-helper-split/evidence/independent-version-receipt.json new file mode 100644 index 0000000000..8e967beadc --- /dev/null +++ b/research/p104-two-boundary-helper-split/evidence/independent-version-receipt.json @@ -0,0 +1,21 @@ +{ + "status": "PASS_EXACT_SHORT_CLEANUP_CURRENT_VERSIONS", + "source_event": 17433, + "candidate_event": 17523, + "source_146_terms": 118, + "source_g_terms": 118, + "identities": [ + "g=a-e708=-current146/2", + "candidate_current146=source_current146", + "fresh_before=z", + "fresh_after=z+current146/2" + ], + "source_feedback_coordinates": [ + 126, + 188, + 708 + ], + "all_feedback_coefficients_zero": true, + "candidate_canonical_sha256": "a1c8277189a811546bdc7b147d72e6a594504ff9585c9bf59a5681aa873abb01", + "scope": "Exact current-version scalar identities only; no native/caller/pricing replay." +} 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