Conditional κ = 0.001677201747396342: capped phase-cell fusion outer (PR1673) on the pivot-566+554 T74 supplier

[jeremykothe2]

Summary

Conditional κ = 0.001677201747396342691754270404. Substitutes this repository's T74 supplier with the pivot-566 and pivot-554 helper-donor kernels (complex endpoint 0.0016797549561255445) for PR1661's in the PR1673 capped phase-cell fusion outer. Only the supplier inputs of PR1673's ledger change (complex saving b = 0.00167975495612554, native profile {1:1560432,2:336336,3:278724,4:84912,5:54612,8:5328,48:22748}; c, m=73, W=66304 and all formulas/inequalities unchanged; the free strict slacks r0, zeta, layout slack, q gap, stop exponent, decimal floor and backoff are retuned to 1e-12, 1e-14, 1e-12, 1e-14, 1e-15, 1e-30, 1e-17, each only needing to be positive in PR1673's proof); the 45 strict inequalities, 5 rejecting controls and the endpoint rejection are regenerated, the supplier's full native admission is rerun. Strassen branch only. Conditional, with all inherited all-size hypotheses.

Verification

Fresh checkout of 9aaa38c13bf139067f3597235e671c2800e9c696. Manifest: 161c0fffbc2a52fb25e8b588253038cf1d9a94ce1298a3ecaa4e7fbd596d0bb0.
PASS package manifest: 368 files

Supplier: the package's own unchanged verify.py (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION, native reuse {'base': 'e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e', 'extra': '7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905'}; its complex endpoint 419938739031386130333917748480... brackets the ledger's b = 83987747806277/50000000000000000. Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (45 strict inequalities, 5 rejecting controls, larger endpoint rejected by the native moment), independent balance derivation and 19 exact evidence replays all pass. Conditional kappa 0.001677201747396342691754270404 (Strassen branch).

Full package-owned verification passed in 85.86 seconds. The fresh receipt binds the exact package manifest and score.

See research/capped-fusion-t74-k554/README.md for reproduction commands and proof qualifications.

Credits

PR1673 (Vlado Vojdanovski, with AI assistance): capped phase-cell fusion outer construction, its proof and exact evidence, vendored verbatim under vendor/pr1673. Supplier: PR1625 (mdumitrean) pivot-566 helper-donor kernel; PR1661 (midhatn) 400-digit endpoint-grid refinement of that stack; pivot-554 kernel (kernel566.py search by LeverRank/jeremykothe2 tooling, PR1672); PR1297, PR1319, PR1424, PR1485, PR1574 (Rohan Arun) T74 exact fill and cold kernels; PR1274, PR1479, PR1510, PR1513, PR1536, PR1578 (Jeremy Kothe) endpoint and outer-witness lineage; PR1534, PR1549 (midhatn); PR1519 (philippeVV) fine-Mercator soundness repair; PR1286, PR1193 (Jeremy Diviney), PR1148 (Thomas DiFiore) and the retained supplier lineage. Research direction, prioritisation and release strategy: jeremykothe2. Implementation assistance: oh-my-pi.

[Mister-Meeseeks]

Batch review at 9aaa38c13bf139067f3597235e671c2800e9c696.

This remains open after scoped triage. Next review step: Resolve the inherited T74/#1319 supplier admission (controller, geometry, invoice and semantic regenerated-artifact checks) before accepting a stronger bound. Also discharge the PR1673 outer-construction proof and, where used, PR1699 matrix-boundary specialization before accepting this composition.

This is a specific continuation point, not a rejection or a request to redo already recorded checks. Completed local evidence is retained separately from outstanding whole-head obligations.

Batch review, attribution and evidence. Thank you for the contribution.