[Clear1nsight]

Change and mathematical scope

This package records a conditional compiler-feasibility target at $C=.0033$ and $C=.0033000005$. It keeps PR #5565's paid invoice fixed and hypothetically replaces 145 distinct original rank-nine helper targets per FULL by independent rank-four/rank-five targets, with no additional paid jobs. The complete hypothetical bill is 66726 paid jobs, 15424 targets and rank surplus 760. No physical 145-split word or new kappa is supplied.

Applying the credited weighted-Jensen inequality to the existing rank-one-tail endpoint gives a useful sufficient criterion. With rank-mass weights $w_r=p_r r/P_1$ and $\mu=\sum_r w_r\ln r$, $\ln(c)>\mu$ implies $\gamma_C<\alpha$; if $bB\le P_1$, $\delta\le\gamma_C$. The fixed-offset application includes the explicit correction at the diagnostic point, where $u>C$.

The one fixed tuple is cutoff 12, floor 13, $u=.0033000005$, $\rho=.99985$, tensor power 32768, reserve 1e-6, $\theta=39/40$ and logarithm power 22000. At the tested point:

• raw surplus exceeds .389976323560029949280648;
• gamma is below .999780978737406788178684 and delta below .830893792830358397762175;
• the complete normalized paid bound, including both coefficient-two splitting/completion terms, is below .949537674806338372278839;
• capacity, initial range and shifted exits pass; the least 14e9-grid index is 1185397, with predecessor 1185396 rejected and $H=16595558000000000$.

This changes the earlier fixed 17/18 completion contract. Its scoped obstruction remains valid. Jensen's theorem, the rank-one-tail endpoint and the generic compiler are credited reuse; the contribution is the transparent criterion, source-bound numerical application and reproducible obligation boundary.

Task and overlap

Task scalar-to-moment, scope changed to a hypothetical numerical compiler benchmark before construction. Scientific source: PR #5565 head 9af814164b9dfc21f19ec737959d67cb71488c95. Parent credits are removed exactly; produced children and current 13/historical 15 splits receive no additional credit. INVOICE.json contains every local, query, idle and main-target coefficient.

The contribution uses available canonical ancestor 32890bc5de034ab8fc93ac88ead7279a6a416d04; this is distinct from the latest observed main 6cf7a683f447b9f1e2333791907fd92be5009a63. The bounded 22:33 source snapshot has unchanged guidance and selected kappa .003027288235, and records the different PR #5612 word at faa9f6dbe6b8cc4a996d3edeca71823056453e1a, author conditional kappa .00310299. No automatic source or target transfer is claimed.

The prepublication check found no competing 145-split/c12-b13/Jensen parameter claim. Active physical cut-capacity, basis and composition work remains with its authors; this package asserts no physical capacity or available bank. Earlier PR #5592/PR #5596/PR #5597 merges were for archive only, partially reviewed, without scientific or selected-frontier admission.

Validation

Original frozen normal/-O qualification: 2.8162 s, sampled peak 46,694,400 bytes; all 24 strength-labelled controls reject and every scientific output byte agrees. Result SHA256: 938f8b2fbbf60da5cccf257f47dd88c06aae7ad09c4fa8a2d87470b35a8797e2.

Portable metadata and six custody controls pass. Registered normal/-O replay passed in 3.5233 s, sampled peak 78,508,032 bytes. A relocated read-only Git-free optimized export with path spaces and empty PATH passed in 1.7114 s, sampled peak 51,224,576 bytes; all 54 exported files remain unchanged. Exact 53-file committed-byte/source-history checks pass at published fork commit 771cb09233cef478066da9286cb31ac844112f1c, tree 52fc7d2c7ad01aa89b4b0454077c0fd8d91ad355. All runs use the unchanged 150 s / 512 MiB serial guard. Hosted CI is pending submission.

Reproduce: python3 -B scripts/research_package.py --package research/p104-jensen-compiler-benchmark.

The qualified positive-C interval engine is unchanged. Rational transport avoids negative-C calls; the outward 1e-320 mesh preserves tiny capacity bounds. Original request, checker, engine, proof sources, root acceptance, receipts and independent static review are preserved. No independent numerical implementation, human review or formal acceptance is claimed.

Credit

Hoeffding 1963 equation 1.9; PR #4416's rank-one-tail endpoint; zxv's higher-moment/generalized-majorant proof; Hexapode PR #5565; Ali Romman's P104/PR #5544/PR #5545/PR #5580; thu-nmrc PR #5551; GamingPuzzled PR #5569; DreamingOfClouds PR #5561/PR #5599; Cao Yifan; Jacob Alan Sussman's integer-flow/productive compiler; Cinna Davis; and all retained native, controller, geometry, precision and analytic predecessors. Source binding, finite application and packaging for Chris R/Clear1nsight with substantial OpenAI Codex/Astra assistance. Apache-2.0.

Open next questions

The missing premise is an actual compatible construction of 145 independent target splits, including new input roles and legal native/whole-job/product/owned semantics. Splitting a paid operator on one owner does not create that target credit. Actual scalar, basis, movement, normalization, growth, denominators, expanded U/R/W/P/G, precision, storage, tape, stock and applicable BIT/outer obligations remain open. No old 1000/1100 ordinary cap transfers. No physical search, source retarget or funded kappa follows automatically from this numerical benchmark.

[Clear1nsight]

Seven-field research handoff

1. Research discussion / PR / artifact: research/p104-jensen-compiler-benchmark, conditional Jensen/compiler target contract; PR Certify Jensen compiler feasibility for a hypothetical 145-split P104 profile #5614.
2. Exact commit: contribution 771cb09233cef478066da9286cb31ac844112f1c, tree 52fc7d2c7ad01aa89b4b0454077c0fd8d91ad355; frozen scientific source 9af814164b9dfc21f19ec737959d67cb71488c95; original request a16df47b5308cfab5de709db11a8707f81460446f4af6849c7962c497cccd641.
3. What is established: one hypothetical 145-distinct-parent rank 9-to-4+5 target profile, unchanged 66726 paid jobs/15424 targets/surplus 760, satisfies the declared complete finite compiler arithmetic at .0033/.0033000005 under explicit inherited hypotheses. Both coefficient-two tails are charged; tested normalized upper .949537674806338372278839. Exact uniform $j=1185397$ / predecessor 1185396, $H=16595558000000000$. Full result 938f8b2fbbf60da5cccf257f47dd88c06aae7ad09c4fa8a2d87470b35a8797e2; all 24 controls reject, complete normal/-O equality.
4. What remains uncertain: no 145 actual split identities, independent-input construction or realizing word; native/product/adapters/owned/ordinary and expanded constants, precision/tape/stock/BIT/outer applicability remain open. No ordinary caps transfer and no new kappa. Latest observed different PR #5612 author word claims .00310299; its costs/results do not substitute here. Current physical capacity/basis/composition scopes remain with their authors.
5. Smallest useful next task: provide an ownership-cleared actual bank/cut and independent-input/native identity, its compatible aggregate credit and complete signed paid/ordinary bill; or independently review the sufficient Jensen/compiler implication. Count $145\le425$ is inventory only. Do not repeat fixed 17/18 price failures or claim paid-axis splitting creates independent fields.
6. Reproduction command and expected runtime: python3 -B scripts/research_package.py --package research/p104-jensen-compiler-benchmark; original pair 2.8162 s, portable registered pair 3.5233 s, read-only Git-free optimized export 1.7114 s, 54 files unchanged. Root guard 150 s / 512 MiB, 60 s scientific children. Metadata, six custody controls and exact 53 committed bytes/source-history pass. Hosted CI pending submission.
7. Predecessor credit: Hoeffding 1963 weighted Jensen; PR #4416 endpoint; zxv higher moments/generalized majorants; Hexapode PR #5565; Ali Romman P104; thu-nmrc PR #5551; GamingPuzzled PR #5569; DreamingOfClouds PR #5561/PR #5599; Cao Yifan; Jacob Alan Sussman; Cinna Davis and retained native/precision/compiler/analytic authors. New application/qualification/packaging for Chris R/Clear1nsight with substantial OpenAI Codex/Astra assistance.

[Clear1nsight]

Missing spaces between words.

Thanks. I'll get that fixed. Cheers for the review 👍