[Clear1nsight]

Change and mathematical scope

Propose conditional κ = 0.003645372367832, a gain of 0.000000482299892 over exact #7161 and 0.000015314197832 over selected #7000. Please review this as a candidate for the conditional frontier. The proposed certificate retains the five framework assumptions.

Two charged rank-one exits extend donors 988 and 991 to the common return chart. The rank-four cut at chart 1091 produces equal responses on the donors. Their later difference at the rank-eight cut in chart 245 cancels that response and permits a second retirement. The emitted word preserves the original event order. It passes the arbitrary-input endpoint and actual pre-COPY destination guard.

The per-native changes are T1 +1, T4 +1, T5 +1, T8 −1, P1 +2. All 17 #7113 stages pay both exits. The complete invoice has 22,461 productive fields, 110,553 paid positions, rank surplus 1,424 and no empty-root credit. The raw crossing is about 0.003645372367832704847. The fixed-profile packing ceiling is about 0.0058069138997, of which the claim realizes about 62.78%.

Task and overlap

Canonical base e54523517d0f03e58352e647c403a5af3e525a57. The exact native comparator is e3f8d39c43b07063dfc5b800f71c5d21015259e6 and the signed caller is 07a76c5e2738882c0cb322278e56f6cae3c9885d. The refreshed #7161 and #7164 heads add only the historical replay repair and leave their scientific package bytes intact. The revision-8 p104-side-correction scope changes from a same-cut test to two literal cuts with a guarded cross-response check. Exact scope claim

The separate first commit reuses the exact selected-replay navigation prerequisite carried by #7161 following #7147/#7156. Six local navigation tests pass.

The final commit reuses the existing historical replay repair from #7161 and #7164. The initial historical CI job found working source drift: Makefile. The repair pins the historical replay to its inspected commit, and the registered historical replay passes locally. The two-cut package tree remains f201bc8b5d1402ca40e7aa419269a58b7724798d.

Validation

CPython 3.12. The package regenerates the literal candidate from the exact source and witness. The native stage verifies every arbitrary-input coefficient, guarded timing, the 1125/F25 grid, all 70 owned lifetimes, affected 512-column Gaussian maps and absolute phase. The signed stage reconstructs the exact 17-stage word, its complete physical catalogue and price, the ordinary and precision bills, and all 54 strict and four functional outer predicates. Both directed prices reject the previous complete invoice at the new claim. The proposed frontier verifier independently checks all nine outer savings and insufficient BIT mutations.

python3.12 -B scripts/research_package.py --package research/p104-two-cut-funded-split

Proof and replay instructions · Proposed conditional claim

Credit

Credit the #7161 and #7164 lineages, Rohan Arun's #7156 and #7113, Ali Romman's owned-buffer identity, Jerry Chen / CubeJerry's temporal work, Matarener's kernels, dillona's temporal constructor and ToikY's directed pricing. ChatGPT Pro identified the different-cut mechanism. OpenAI Codex independently reconstructed, emitted and replayed the exact local word. See the package NOTICE for retained attribution.

Open next questions

A maintainer can replay this head and record whether to select the proposed conditional bound. The materialized top-level multiplier and independent human or formal acceptance remain open.

[Clear1nsight]

GitHub Actions run 43018979337, attempt 1 passed all three jobs at 215f67247f395c0e15f5ea3980f6a3e4aed155af. Planning and the pinned historical replay passed. The two-cut package replay finished in 13m 18s and reported passes for the exact native, complete signed caller, and proposed frontier checks. The tracked inputs stayed clean.

The frontier review request links the scientific commit and replay instructions. The proposed κ is conditional on the five retained assumptions. Maintainer selection and independent human or formal review remain open.

[Clear1nsight]

I applied #7245's fixed-output census to the submitted #7244 head 215f67247f395c0e15f5ea3980f6a3e4aed155af and the #7161 scientific comparator. In both words all 2,229 signed quotient classes and 978 target chart classes have full rational row rank, and there are zero contact-free MOVE pairs. The replay reused the pinned Clifford classifier and used separate row elimination modulo 65,521. #7246 supplies a complementary bound for a finite monomial decoder across target classes.

The exact scalar replay matches all 1,499 original output rows, returns both added arbitrary inputs, closes all 70 owned lifetimes and rejects a dirty COPY. The complete signed #7113 invoice changes from 22,427 productive fields and 110,519 paid positions to 22,461 and 110,553. Every stage pays both extra exits. Directed rational arithmetic gives an old invoice residual of −0.18701838526284 at the proposed κ. The new invoice has a positive residual of +2.4613808499e−10 at the stronger internal test point 0.00364537236783207.

This supports the conditional gain of 0.000000482299892 at κ = 0.003645372367832 under the five retained assumptions. The proposed frontier checker passed again. Maintainer selection and human or formal review remain open. Cross-check script and receipt · Frontier review request. CPython 3.12.3 took about 51 seconds. Credit ToikY, Rohan Arun and the retained Clifford and native authors. Prepared with substantial OpenAI Codex assistance.