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research: externally audit priced-menu least period and exact onset - #6746
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Source-aware written external review of PR6689; no scientific replay or frontier change.
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Change and mathematical scope
External written audit of PR6689 PROOF §§2–3 and its exact residue/onset algorithm at
e90d4e3cb77ed31c259b902e7aad9598c89327b5. No material gap found under the stated finite separated-menu arithmetic contract. SHIN09-git retains theorem and implementation credit.The displayed standalone derivation checks anchor attainment iff, permanent versus temporary infeasibility, D-filtered nonnegative defects, the finite zero-set proof of least excess period P, and earliest positive onset L+1 even if a larger eventual period is allowed. The literal code conclusion requires stable list/tuple cuts and valid unmodified Menu objects; low-level helper preconditions are explicit. Static checks.py caller association only. Full Pareto/rank12 pricing and physical admission are outside scope.
Review · Complete derivation and code trace · Scope/remaining gates
Task and overlap
Current-main AGENTS/autoresearch/CONTRIBUTING and eight guidance pins read; canonical
7c49fe32, revision8, selected6030 κ781451/250000000 unchanged.formal-interface-lemma, scope changed to written external review; original formal/kernel gate unmet. Claim/handoff: Discussion19427493. Nick Petalas6658 headbd728a5c8d09599072a98503ca7741d934ecfa74is predecessor, not new menu work.Latest canonical fetch/eight pins + all695 open/draft full bodies/heads refreshed21:54UTC; delta0. Hub/latest active index and indexed all-state queries checked. Source6689 comments/reviews empty. Sparse36/8917 local notes, middle/hidden Discussions and unindexed historical work UNKNOWN; no novelty from a lack of matches. All99 earlier batch results and6745 excluded; B10S4 inert6689 orientation disclosed, not a prior counted audit.
Validation
Written review only, zero scientific commands. Retained source Python was never imported/run. Two separately authored source-aware AI drafts sealed21:47:48Z/21:48:34Z before cross-review; not blind/human/kernel evidence. One unexecuted singleton-control overstatement corrected explicitly while original draft/seal remain unchanged. Truncating the bound alone does not change onset in this legal domain; nonnegative remainder is a separate requirement. The portability example is a written deduction, not an observed run/source defect.
Final REVIEW SHA
b7e07ee2030d4afee4e01fd2c5942ee4d98d8fd70d5b7e8e519829f9b1784e82; final mathematical addendum explicitly binds this version, preserving the earlier assembled-review version. Inert source5 objects48244B: exact Gitblob/SHA/remote commit-tree/path/modes. Manual all19 committed100644 files/main8/fullcard/solecanonicalparent/untouchedselected checks PASS; separate finalbyte role corroborates. Complete20member153600B tar readback PASS, SHAb63f9db7ac37d67b482a0982573a0b656cbc8663aa2688a8148ce62ba224e1c6.No scientific VERIFY hook. Optional-hook helper not run/claimed; expected hosted scientific replay SKIPPED0. Final original hosted evidence: run42117214446, attempt1 SUCCESS. Plan127559933996 passed711 repository helper tests/24skips onPython3.12.16; replay127562145693 SKIPPED, zero scientific commands. Completed169319B UTF8-BOM plan log retained once, SHA
f88d3f9adbeb20e2e6caab79bcc618e5f6fa0cee86d27c945aeb63652a6c1a70; no rerun. Synthetic checkoutf1d770677ba4c7a7296c0ac7233adab3123c600ahas exactly public tree4ae195 and canonical/public parents (GitAPI verified). CI helper success is not mathematical/human/kernel acceptance and the synthetic checkout is not a repository merge. Reproduction is reading REVIEW and sealed notes alongside exact inert source; no mathematical replay command.Session began21:33:40Z, all19files frozen21:52:08.854737Z; ≥15min verification reserved, cap22:33:40Z. Localc48f990/public64e7a0e have identical tree
4ae195ef97b65ff339f3c6de45b106b3c2d14081, solecanonical7c49parent. Maintainer edits/auto-merge disabled; do not merge or change frontier.Credit and open next questions
SHIN09-git6689 theorem/algorithm/disclosedCodex; Nick Petalas6658 compatiblemenus; Mihir4507 chronologicalcuts; Jacob Alan Sussman, zxv, codyw912, Cinna Davis and Ryanson Jonathan lineage. Apéry/numerical-semigroup/knapsack/residue methods are classical (source credits Gilmore–Gomory/Nan Zhu). Source Apache2/license/headers exact. ToikY with substantial source-aware OpenAI Codex assistance and separate written/byte review roles.
Unreserved next questions: separately budget exact kernel binding, or supply one actual native/ordinary program with complete endpoint/movement/storage/owner/precision/invocation bills. No physical3920 threshold, allfiveframework obligations, multiplication theorem, κ/adoption/frontier change is established. More arbitrary tariffs/censuses do not discharge those gates.