FINAL-FILE REVIEW SUPPLEMENT Signed incidence and a nine-state torsion witness in simultaneous two-bit order thinning 9 November 2026 (Asia/Bangkok) Two separate internal AI review passes found no supported fatal, major, or required minor mathematical correction in the exact final source. Source: https://www.b-theory.com/manuscripts-html/signed-incidence-two-bit/manuscript.tex SHA-256: b10e5f4111d05a3451b3ab056eb16b8cd95b99e5dd6fae8d9c147a89144a3e21 Complete source coverage: 201 lines; 21107 bytes. Reviewed release commit: cf93a3a59db0b587dd45f524f7f56da08c0ec190 METHOD AND SCOPE One proof review and one adversarial review, each based on an actual complete-file read and independently computed hash. Independent here describes separate review runs, not external institutions or human peer review. No mathematical source revision was required. Original source, PDF, public archives and historical review records remain unchanged. This dated supplement adds final-file review evidence; it does not rewrite the earlier review history. PROOF REVIEW No required mathematical revisions. Independently reconstructed signed-component integral/field homology, rooted-tree collapse recognition, switching/TU and odd-field criteria. Regeneration from the covers and labels gave the complete printed matrix, determinant +2 and Smith diagonal (1,1,1,1,1,1,1,1,2). Sequential absolute collapses, vertex links, individual-bit unit minors and a primitive cocycle pairing of -2 were independently checked. Operational and higher-height examples were analytically reviewed. Prior requests: All eight documented response items are resolved within the final source and supplied interpretation notes: explicit height scope; degree-sign distinction; identity target and unit costs; decision-tree lower bound; conservative classical attribution; preservation of distinct parent results; full-matrix and actual-inclusion reasoning; and truthful review provenance. Limits: No vertex-minimality, priority or human-peer-review certification. Author verifier programs and stored certificate conventions were not rerun; the reported exact checks are independent reconstructions. Proposed interpretation patches were not applied or revalidated against every current parent-paper anchor. ADVERSARIAL REVIEW No supported required mathematical change 1. Checked the two-term relative chain complex uses all surviving vertices and height counted as strict inequalities. The local Boolean support classification excludes the long-edge-only case by transitivity and permits same-sign short-edge pairs exactly for the two stated incomparable-middle words. 2. Rederived component cokernels by signed spanning-tree elimination: rootless balanced components give Z, rootless unbalanced ones give exactly Z/2, and any singleton root kills the remaining generator. This also yields the kernel rank and all-characteristic formulas. The mod-two quotient prevents accidentally claiming the negative-cycle relation kills g. 3. Checked degenerate cases (isolated rows, singleton-only components, empty relative pair, multiple root attachments). Acyclicity forces one root attachment and a tree per component. A nonroot leaf is a genuinely free deleted edge because retained triangles cannot contain it and height excludes higher cofaces. This establishes actual collapse rather than only a formal matching. 4. Checked switching consistency, total-unimodularity obstruction from an unbalanced cycle, and the odd-field rooted-tree/unbalanced-unicycle criterion. No full-cokernel torsion inference is made from a mere minor. 5. Independently reconstructed transitive closure, all triangles and all deleted edges directly from the printed covers and labels. Recovered f(K)=(9,19,10), nine deleted rows and nine deleted columns in exactly the printed orders, all column supports of size two, determinant +2, and rank nine. The printed positive spanning tree yields eight unit Smith entries; the single remaining negative relation yields the ninth entry 2. 6. Executed an independent check of all ten printed absolute edge/triangle collapses against current cofaces, recovering the connected nine-edge residual graph. Independently checked all vertex links, including connectivity: every link is a path except vertex 5, whose link is a cycle. Analytically checked the L collapse and cycle, and the exact sequence forcing inclusion degree +/-2 rather than deriving it from endpoint types alone. 7. Checked height and execution-order counterexamples and the operational identity-recovery cost comparison. The coordinate library reaches expected depth two, with the binary decision-tree lower bound giving optimality; singleton tests have depths 1,2,3,3. These are limited examples, not claims about unrestricted acquisition protocols. Prior requests: Only after independent evaluation, read the adjacent responses_to_reviewers, proof_ledger and review_summary. R1 is resolved by the explicit height condition in Proposition 3 (line 81); R2 by analytic +/-2 versus certificate -2 (158-162); R3-R4 by identity target, equiprobability, unit cost and lower bound (179). R5-R8 are respected by classical attribution, no minimality/priority claim, full-matrix distinction, preservation of separate prior results, and honest review-scope text. No listed mathematical request remains open in this exact file. Limits: No final PDF/layout review, independent execution of the supplied Smith certificate files, external literature retrieval, verification of the full parent manuscripts, or historical-priority certification was performed. The independent reconstruction verifies the central finite example; the general theorem is assessed analytically, not inferred from examples. This is internal AI review, not human peer review. OVERALL LIMITS Internal AI review is not a guarantee of correctness, human specialist peer review, proof-assistant certification, historical-priority clearance, or physical validation. These source-review passes did not repeat PDF layout or full software-package certification. Earlier production checks and current publication verification are separate. UNCHANGED PDF https://www.b-theory.com/manuscripts/signed-incidence-two-bit-r1-v1.0-2026-11-09.pdf SHA-256: bd310e804fe81fad7125a99119952c13dce797bc53ae13bd15eb03ea17db0958 A SHA-256 match binds review to file bytes; it does not itself prove mathematical correctness. Original review and publication-package records retain their historical scope.