{ "date": "2026-11-05", "scope": "Editorial response to the independent audit supplied by the user; this record covers the developing assistant's subsequent changes and validation.", "independent_audit_record": "review/independent-audit-2026-11-05.json", "audited_path_snapshot": { "pages": 19, "pdf_sha256": "55bc50db83f1fa0d254af05e0782b929af102f1423206c642589e5c1e0cddfba", "binding": "PDF and source snapshot captured at the path named in the report before editing; the reviewer did not supply a checksum." }, "revised_pdf": { "path": "output/pdf/even-beta-counts.pdf", "pages": 20, "sha256": "3f04719f99275d0baa108fe3537fe5efb27bd9002b9d5693001e3513531c2fe3" }, "revised_source_files": { "paper/even-beta-counts.tex": "b591ba2d484502de8777c283eb42355ab1242de42f4da29c2a69c24c139ecf92", "paper/references.tex": "2c860190b9e8972c4e2b7affb01139b117a2569f22af74f72cbffa7f70202f6c", "paper/sections/arithmetic.tex": "59fbe3dbcbd49be0f873be522f4b2fda8c09fbf8a2631b9ffed2c8a01eaf3af5", "paper/sections/checks.tex": "1be77cffd14d80f7ef299a7b96ec62322716a45502cdb4e3d4ce086a98e287c7", "paper/sections/construction.tex": "7fda38775dc1358bf5905e336d236e62f27f6c31f8d5319d2b2e54457c0f79d3", "paper/sections/contradiction.tex": "1ef2b638788a99f3f3a64fa8a204e14fa2f424f65e104c3c26b3f1f0b27d761f", "paper/sections/count.tex": "cb20704c969dc37db1a9ade6f333999e8efe695da3f9bbc701244970cfabf2de", "paper/sections/decay.tex": "6748b645f0cdf6cbc63b4e8f400dcd14b66a51f20206c4a32f1f1f67e8fe070a", "paper/sections/dilation.tex": "c974aa5a16d204e9311c430390249987c87429fd18f53cda45da79162418920e", "paper/sections/earlier-count.tex": "b011c10a8dc0503c5d2ba326866edc9c2260aeed4a0a434132745982f205c266", "paper/sections/endpoints.tex": "bb9ef16213394604e8e1bde99c8a8ab384440d4d47110a3b10798872de0b20d3", "paper/sections/gram.tex": "2d7a07e0fe1994a94061c87e4aab06e9a311d53cc4a6f7b4425401044261d455", "paper/sections/introduction.tex": "e9e1c4c36cdd3b6560486c1d1c23cffb3ddc861f87f2256ffc79973541032d23" }, "manuscript_changes": [ { "file": "paper/sections/decay.tex", "location": "Section 5.2, page 10", "change": "Explain the uniform Stirling error down to t=1/B: use shifted Stirling for t>=1, continuity on [1/B,1] for the remaining bounded gamma arguments, and O(log n) errors for the other gamma factors. Add a subsection label for the audit-note reference." }, { "file": "paper/sections/checks.tex", "location": "Appendix A.3, page 19", "change": "Record the independent audit conclusion, independent arithmetic checks, requested clarification and stated scope." } ], "preserved": "The abstract, introduction, theorem statements, constants, endpoint tables and all other manuscript source files are byte-identical to the captured pre-revision version.", "documentation_changes": [ "Add the supplied audit report and version-specific audit record.", "Update the paper and repository guides, changelog and build metadata with the audit status and subsequent revision." ], "validation": { "build": "Three successful pdflatex passes using tools/build_paper.py.", "unresolved_references": false, "overfull_boxes": false, "underfull_warnings": [], "source_and_pdf_hashes_match_build_record": true, "visual_review": { "method": "Rendered the current PDF with Poppler at 85 dpi and inspected every changed page.", "pages_inspected": [ 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], "pages_pixel_identical_to_previously_reviewed_version": [ 1, 2, 3, 4, 5, 6, 7, 8, 9 ], "result": "No clipping, overlaps, broken formulas, unresolved references or layout defects observed." }, "mathematical_explanation_review": "With B and the construction parameters fixed, all gamma arguments except t+theta are comparable to n on the stated range; t+theta stays positive on the remaining compact interval. The added argument supports the same uniform estimate and changes no mathematical result.", "supplied_checkers": "Unchanged and not rerun for this exposition-only response.", "historical_review_files_unchanged": [ "review/assembly-review.json", "review/comparison-appendix-2026-11-04.json", "review/comparison-justification-2026-11-04.json", "review/exposition-review.txt", "review/mathematical-review.txt" ], "git_diff_check": "Passed." }, "review_scope": "The independent report concerns the captured 19-page version. The new explanation and audit note received the developing assistant's review and compilation/layout checks; no further independent audit or formal verification is claimed." }