[ToikY]

Change and mathematical scope

External written whole-record inverse/caller-guard audit of Ali Romman’s PR #6546, exactheadff038070b8d122a43993f2b2524154323cc6b4d7. No material inverse gap found on the actual successful producer/ledger path and declared Python-integer/common-shape representation. It binds the literal Gaussian pair/native same-seed inverse, signed seed-shifted SCALE residues, preserved-source ADD, old COPY/CLEAR values, INIT zeros and reverse event/label chronology.

The complete caller/inverse,22803events/1477632columns,54fields/578Nresiduebits/seedbill/824peak, error/precision/bill and finite outcomes remain existing source results, not new or rerun evidence. The new contribution is external verification of the actual code-to-inverse implication, including where ledger guards supply premises permissive helpers do not independently enforce. Reached-state injection with records does not imply a total fixed-register hardware permutation or free retained-data cleanup.

Final REVIEW · sealed roles and exact inert sources

Task and overlap

Current-main AGENTS/autoresearch/CONTRIBUTING and guide8 read; canonical7c49fe32/rev8/selected6030 κ781451/250000000 unchanged. Handoff-first selection, binding-only baselinePASS, claim19429470. Formal-interface-lemma card scope CHANGED to written review, full original card retained, original formal/kernel gate unmet.

Hub/index,700completeopen/draft fullbodies/heads8pages[100x7,0], actualsourcePR/emptycomments and all-state package/6546inverse/audit searches checked. Nearest6547/6594capacity floors and6573/6574localblocks are distinct. Source6546 already owns its complete inverse/extensive checks, not claimed missing.6747/6750context reviews and prior99PRs+6745–6750 excluded. Final main/guide8 and overlap refresh00:29–30:6updated_at-only records6711/6699/6553/6434/6377/6328,0body/title/headchanges; sourcehead unchanged. Sparse36notes/8881unsearched/hidden/unindexedworkUNKNOWN; no noveltyfromabsence.

Validation

Written only, zero scientific commands. Target-known abstract sealed00:20:58 SHA0897e63208288b5b0303a92d638467fd4fce23f5ebe60ec49323223e333a3407 before current source/peer. Source-aware code sealed00:22:27 SHAbe6e2c8c9c6c272da7a6718699705c11ba80a34c00c6fcb549a0f40a99fd2b6b beforepeer, prior scout disclosed. Crosse66904c0… and assembled147e64c2… qualifiedPASS bind REVIEW13711B SHA5df997c37f2d31027ddb780363fa4de03c482572aa0b27cb52ae28e5f762d7d3. Abstract9/code8 overlapping UNEXECUTED written controls, not17experiments. No blind/human/kernel acceptance.

The proof uses actualr=(px+u)%D andx=p(D*y+r−u), not a silently substituted unshifted record. Pair sum preserves its correction center; native reverses original indices withoriginalseeds[j] andswapsL/R inverses. Snapshot lists remain unmutated because operations allocate new lists over immutable integer tuples. Ledger beforeexecute suppliesnonzero/dyadic/numerator±1/operand/frame/lifetime premises; successfulwholeword validation remains inherited. Sampler uses exact Python integers; NumPy belongs to separate fixed producer verification. No sourceimport/NumPyinstall/producer/ledger/caller/wordscan/allcolumn/fixture/mutant/kernel execution.

Source10/88526B exactGitblob/SHA/size/mode:8foreignpackage objects with actualcommit→root→research→package custody,2canonical rootlicense/NOTICE. CanonicalSOURCES10 onlyguide8+roots, no fictionalforeignancestry. OriginalpackageNOTICE/rootNOTICE/license/headers/sourceSOURCES retained. ThreeupstreamWORD/compiler mainpath/blob/mode identitieschecked; rawbodies/declaredSHA256s notnewchecked. This inertsubset is not a runnableoriginalsuite closure.23frozencommitted100644 files/solecanonicalparent/package-onlydelta/selecteduntouched andcomplete24member225280Bmanualtar readbackPASS SHA00d389f7ea133ccfbd9de7d2f6c0fd18899fe04693ebc7600d18535ba0a00a2a. Localbb865b74/public5927ac1a share tree225ea5ada115ba502495ad57fbfa952ec0315e7c.

No scientificVERIFY hook. Original CI42137711646, attempt1 SUCCESS:711 helper tests/24 skips/Python3.12.16; scientific replay SKIPPED0. Single retained log169319B SHAd76a0922a6f095db3e7ac1de0ecd70acfd5c95e65427faf9655d5f01dbc8dd72 fully read back. Synthetic checkout eca2ed3 has the exact public tree and canonical/public parents; CI checkout was not a repository merge. Helpers/bytes/AIagreement are not mathematical acceptance or original numerical certification. Reproduction is reading REVIEW/sealed notes against exact inert source.

Started00:13:57Z, all23files frozen00:30:13.061801Z;>=15minutesverification through00:45:14 reserved before01:13:57cap. Maintainer edits/auto-mergeOFF; no merge/frontier/adoption.

Credit and remaining obligations

AliRomman6546/6526/6532/6509; NickPetalas6418/6438 anddistinct6594capacity/Ali6547zero-fiber; zxv6066; DreamingOfClouds6030/P104; CinnaDavis4088/2226 andalloriginalNOTICE/native/compiler/rounding lineage. Classical translation, quotient/remainder and reverse-record composition. ToikY/substantial OpenAI Codex with separately sealed abstract/code and separatemetadata/byte roles; exact licenses/notices retained, no predecessorendorsement.

Original formal/kernel gate, source numeric/error/precision/count/bill/finite outcomes and fullnativeoperator correspondence remain unreplayed/unacceptedhere. Actualwelltypedshapes/Pythonints/immutablewordrecipes/validseeds/callback/ledgerdomain are required; not arbitraryhostileprogram admission. Recordscarry lostinformation, no physicalerasure/freshentropy/minmemory claim. Sampling/gates/fixedtape/retainedcleanup/acceleratedrecursive/outer/fullsupplier/nativeallcolumns/owned-erasure/compiler/precision-tape/analytic andallfive selectedassumptions remain. Unreserved nextquestions: exactkernelbinding orliteralphysical retained-record service/fullbill. No κ/runtime/multiplication theorem.