% refs.bib (2026-10-27). Every field comes from a local copy, or from a read-only fetch of the source saved in refs-sources/ (one JSON per source, % made by refs-sources/fetch_sources.py). The comment above each entry names its sources. A field that could not be confirmed is named in the % entry's note as "UNCONFIRMED: "; check.py reports each one. "key" fields are bibtex sort keys only. % Local: refs/siegel-paper.tex:34-36 (\title, \author, \date), results/2026-10-27-paper-hashes/paper-hashes.txt (v14:L143). Fetched: refs-sources/openai-math-Uniform-exclusion-of-Lan.json (file at fd4aeeb, 404812 bytes). @misc{openai-siegel-2026, author = {{OpenAI}}, title = {Uniform exclusion of {Landau--Siegel} zeros}, year = {2026}, month = oct, howpublished = {Manuscript dated October 1, 2026, openai/math, \nolinkurl{preprints/Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026/paper.pdf}, sha256 fab9f6e8\ldots, identical at commits adc7f12 and fd4aeeb}, url = {https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026/paper.pdf} } % Local: the 7/8 paper's build/paper.tex:29-32 at fd4aeeb (v14:L144). Fetched: refs-sources/openai-math-The-Quasi-Riemann-Hypoth.json (1588969 bytes). @misc{openai-qrh-2026, author = {{OpenAI}}, title = {The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane $\operatorname{Re} s>7/8$}, year = {2026}, month = sep, howpublished = {Manuscript dated 30 September 2026, openai/math, \nolinkurl{preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf}, sha256 8fe93046\ldots, identical at commits adc7f12 and fd4aeeb}, url = {https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf} } % Local: clone /home/checker/math (origin https://github.com/openai/math); lean/formalization.yaml:8 (authors: ["OpenAI"]). Fetched: refs-sources/openai-math-commit-adc7f12.json (committer date 2026-10-06T21:58:50Z). @misc{openai-math-adc7f12, author = {{OpenAI}}, title = {openai/math}, year = {2026}, howpublished = {GitHub repository, commit adc7f1241b42e322a6451854ab7e4b4c146bf78a (2026-10-06)}, url = {https://github.com/openai/math/tree/adc7f1241b42e322a6451854ab7e4b4c146bf78a} } % As above. Fetched: refs-sources/openai-math-commit-fd4aeeb.json (committer date 2026-10-08T05:20:00Z; the local clone shows 2026-10-07 in the committer's time zone). @misc{openai-math-fd4aeeb, author = {{OpenAI}}, title = {openai/math}, year = {2026}, howpublished = {GitHub repository, commit fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb (2026-10-08 UTC)}, url = {https://github.com/openai/math/tree/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb} } % Local: clone /root/tools/comparator; README line 201, "Comparator was originally developed by Lean FRO" (v3-evidence/comparator-README-d03acab.md). Fetched: refs-sources/repo-leanprover_comparator.json (commit date 2026-09-14). @misc{comparator, author = {{Lean FRO}}, title = {Comparator}, year = {2026}, howpublished = {GitHub repository leanprover/comparator, tag v4.34.0, commit d03acab154d269c06e60e4de7e4cc85deebff94b (2026-09-14)}, url = {https://github.com/leanprover/comparator/tree/d03acab154d269c06e60e4de7e4cc85deebff94b} } % Local: clone /root/tools/lean4export. Fetched: refs-sources/repo-leanprover_lean4export.json (owner organization leanprover; commit date 2026-09-14). The README names no author; the owning organization is given. @misc{lean4export, author = {{leanprover}}, title = {lean4export}, year = {2026}, howpublished = {GitHub repository leanprover/lean4export, tag v4.34.0, commit 076e8e57707e813375e8f9da8bf989799ace9680 (2026-09-14)}, url = {https://github.com/leanprover/lean4export/tree/076e8e57707e813375e8f9da8bf989799ace9680}, note = {Author given as the owning GitHub organization} } % Local: clone /root/tools/nanoda_lib. Fetched: refs-sources/repo-ammkrn_nanoda_lib.json (owner ammkrn, a user account; commit date 2026-09-22) and user-ammkrn.json. % Joe's decision (2026-10-27): use the real name only if the project states it. Cargo.toml has no authors field and the README names no author % (pinned clone, Cargo.toml sha256 0a17b333...), so the account name is used. @misc{nanoda-lib, author = {ammkrn}, title = {nanoda\_lib}, year = {2026}, howpublished = {GitHub repository ammkrn/nanoda\_lib, commit 3a2407216ee84a75f9e1aead6803d0578be06ae7 (2026-09-22)}, url = {https://github.com/ammkrn/nanoda_lib/tree/3a2407216ee84a75f9e1aead6803d0578be06ae7}, note = {Author given as the GitHub account name} } % Local: refs/nanoda-issue-55-2026-10-21.md:3-5. Fetched: refs-sources/issue-ammkrn_nanoda_lib-55.json (title, user nealmcb, created 2026-10-15) and comment-body-6293743601.json (the 1 GiB correction, 2026-10-20). Author: user-nealmcb.json (name Neal McBurnett). @misc{nanoda-issue-55, author = {Neal McBurnett}, title = {Stack overflow, then ``index exceeds 31-bit capacity'' panic, in \texttt{whnf} / \texttt{try\_reduce\_nat} on a small set of declarations that {Lean}'s kernel checks in seconds}, year = {2026}, howpublished = {nanoda\_lib issue \#55, opened 2026-10-15; comment 6293743601 (2026-10-20)}, url = {https://github.com/ammkrn/nanoda_lib/issues/55} } % Fetched: refs-sources/issue-ammkrn_nanoda_lib-61.json (title, user nealmcb, created 2026-10-23) and comment-ammkrn_nanoda_lib-6402528075.json (nealmcb, 2026-10-25). @misc{nanoda-issue-61, author = {Neal McBurnett}, title = {Three openai/math configurations need a deeper stack on the current master than on the earlier one}, year = {2026}, howpublished = {nanoda\_lib issue \#61, opened 2026-10-23; comment 6402528075 (2026-10-25)}, url = {https://github.com/ammkrn/nanoda_lib/issues/61} } % Fetched: refs-sources/issue-ammkrn_nanoda_lib-62.json (title, user nealmcb, created 2026-10-23). @misc{nanoda-issue-62, author = {Neal McBurnett}, title = {{OAI.SquareDifference.source\_ordered\_contraction} overflows the stack on the current master}, year = {2026}, howpublished = {nanoda\_lib issue \#62, opened 2026-10-23}, url = {https://github.com/ammkrn/nanoda_lib/issues/62} } % Local: lean/lean-toolchain ("leanprover/lean4:v4.34.1"); commit from results/2026-10-08-lean-comparator-wsl.txt. Fetched: refs-sources/repo-leanprover_lean4.json (owner organization leanprover; commit date 2026-09-24). @misc{lean4, author = {{leanprover}}, title = {Lean 4}, year = {2026}, howpublished = {GitHub repository leanprover/lean4, version v4.34.1, commit 5045d0056413266e57c625dcd7c365b10e377c52 (2026-09-24)}, url = {https://github.com/leanprover/lean4/tree/5045d0056413266e57c625dcd7c365b10e377c52}, note = {Author given as the owning GitHub organization} } % Local: Mathlib package in /home/checker/math/lean/.lake/packages/mathlib; lean/lake-manifest.json:4. Fetched: refs-sources/repo-leanprover-community_mathlib4.json (owner organization leanprover-community; commit date 2026-09-24). No CITATION.cff at this commit (mathlib4-citation-cff.json, HTTP 404). @misc{mathlib, author = {{leanprover-community}}, title = {Mathlib}, year = {2026}, howpublished = {GitHub repository leanprover-community/mathlib4, commit d13f23b723b8a846827a245b89c10fc7d3f11612 (2026-09-24)}, url = {https://github.com/leanprover-community/mathlib4/tree/d13f23b723b8a846827a245b89c10fc7d3f11612}, note = {Author given as the owning GitHub organization} } % Local: refs/siegel-paper.tex:736-739 (v14:L273). Fetched: refs-sources/crossref-fischler.json (title, author S. Fischler, Compositio Mathematica 141(04), 907-925, 2005, DOI). @article{fischler2005, author = {S. Fischler}, title = {Interpolation on algebraic groups}, journal = {Compositio Mathematica}, volume = {141}, number = {4}, pages = {907--925}, year = {2005}, doi = {10.1112/S0010437X05001351}, url = {https://doi.org/10.1112/S0010437X05001351} } % Local: refs/banks-2610.15483.md:3-5. Fetched: refs-sources/arxiv-2610.15483.json (title, author as arXiv lists it, submitted 11 Oct 2026). % Joe's decision (2026-10-27): the entry carries the author as arXiv lists them; the no-name rule is about acknowledgments and contact, not citations. @misc{arxiv-2610-15483, author = {William D. Banks}, title = {On the {OpenAI} proof that {Landau--Siegel} zeros do not exist}, year = {2026}, month = oct, howpublished = {arXiv:2610.15483 v1, 11 October 2026}, doi = {10.48550/arXiv.2610.15483}, url = {https://arxiv.org/abs/2610.15483} } % Local: v12-evidence/arxiv-2610.08144-abstract.txt. Fetched: refs-sources/arxiv-2610.08144.json (title, authors, submitted 6 Oct 2026). @misc{bastounis2026, author = {Alexander Bastounis and Fabian Circelli and Anders C. Hansen}, title = {{Navier-Stokes} lost in translation: Why {Lean} verification of {AI} autoformalisation does not guarantee correct natural language proofs}, year = {2026}, month = oct, howpublished = {arXiv:2610.08144 v1 [math.AP], 6 October 2026}, url = {https://arxiv.org/abs/2610.08144} } % Local: the read-only checkout at 1ca7ff2. Fetched: refs-sources/repo-nealmcb_openai-math-lean-tooling.json (commit date 2026-10-25) and user-nealmcb.json (name). @misc{mcburnett-tooling, author = {Neal McBurnett}, title = {openai-math-lean-tooling}, year = {2026}, howpublished = {GitHub repository nealmcb/openai-math-lean-tooling, commit 1ca7ff2a0280760783ee2b198c0d6f2a1cfeaba4 (2026-10-25)}, url = {https://github.com/nealmcb/openai-math-lean-tooling/tree/1ca7ff2a0280760783ee2b198c0d6f2a1cfeaba4} } % Fetched: refs-sources/issue-grwtsk_openai-math-29.json (title, user grwtsk, created 2026-10-09) and comment-grwtsk_openai-math-6296359378.json (2026-10-20T16:56:00Z). @misc{grwtsk-29, author = {grwtsk}, title = {{[AUDIT.26]} Reproduce manuscript {PDFs} and bind paper statements to exact {Lean} declarations}, year = {2026}, howpublished = {grwtsk/openai-math issue \#29, opened 2026-10-09; comment 6296359378 (2026-10-20)}, url = {https://github.com/grwtsk/openai-math/issues/29#issuecomment-6296359378}, note = {Author given as the GitHub account name} } % Fetched: refs-sources/issue-grwtsk_openai-math-40.json (title, user grwtsk, created 2026-10-09), comment-grwtsk_openai-math-6087525965.json (2026-10-09) and comment-body-6431288875.json (the vsock follow-up, 2026-10-27T01:16:07Z). @misc{grwtsk-40, author = {grwtsk}, title = {{[AUDIT.35]} Independently audit the uniform {Landau--Siegel} real-zero gap}, year = {2026}, howpublished = {grwtsk/openai-math issue \#40, opened 2026-10-09; comments 6087525965 (2026-10-09) and 6431288875 (2026-10-27 UTC)}, url = {https://github.com/grwtsk/openai-math/issues/40}, note = {Author given as the GitHub account name} } % Local: zenodo/r23269528.json (doi, version, date). Fetched: refs-sources/zenodo-23269528.json (title, creators). @misc{zenodo-23269528, author = {Reilly, Joseph M.}, title = {Verification package for openai/math family 003, Uniform exclusion of {Landau--Siegel} zeros: comparator + nanoda replay, {Lean} formalization of the paper's {Lemma} 3, rerouted proof, exact small-{N} checks}, year = {2026}, howpublished = {Zenodo, version reviewer-packet-v1, 2026-10-09}, doi = {10.5281/zenodo.23269528}, url = {https://doi.org/10.5281/zenodo.23269528} } % Local: zenodo/r23499651.json. Fetched: refs-sources/zenodo-23499651.json. @misc{zenodo-23499651, author = {Reilly, Joseph M.}, title = {Verification package for openai/math family 003, Uniform exclusion of {Landau--Siegel} zeros: comparator + nanoda replay, {Lean} formalization of the paper's {Lemma} 3, rerouted proof, exact small-{N} checks (preliminary)}, year = {2026}, howpublished = {Zenodo, version reviewer-packet-v2-preliminary, 2026-10-20}, doi = {10.5281/zenodo.23499651}, url = {https://doi.org/10.5281/zenodo.23499651} } % Local: results/2026-10-21-v3-deposit/zenodo-record-23523697.json and zenodo/r23523697.json. Fetched: refs-sources/zenodo-23523697.json. @misc{zenodo-23523697, author = {Reilly, Joseph M.}, title = {Verification package for openai/math family 003, Uniform exclusion of {Landau--Siegel} zeros: machine-checked complement to existing human write-ups (comparator + nanoda, {Lean} {Lemma} 3, explicit constant)}, year = {2026}, howpublished = {Zenodo, version reviewer-packet-v3, 2026-10-21}, doi = {10.5281/zenodo.23523697}, url = {https://doi.org/10.5281/zenodo.23523697} } % Local: zenodo/r23505836.json. Fetched: refs-sources/zenodo-23505836.json. @misc{zenodo-23505836, author = {Reilly, Joseph M.}, title = {Comparator and nanoda replay of the openai/math {Lean} corpus at fd4aeeb, with statement checks for family 003}, year = {2026}, howpublished = {Zenodo, version corpus-replay-2026-10-20, 2026-10-20}, doi = {10.5281/zenodo.23505836}, url = {https://doi.org/10.5281/zenodo.23505836} } % Local: zenodo/r23523697.json:6 (conceptdoi). Fetched: refs-sources/zenodo-23269527.json (the concept record resolves to the latest version, reviewer-packet-v3, id 23523697). @misc{zenodo-23269527, author = {Reilly, Joseph M.}, title = {Verification package for openai/math family 003, Uniform exclusion of {Landau--Siegel} zeros: machine-checked complement to existing human write-ups (comparator + nanoda, {Lean} {Lemma} 3, explicit constant)}, year = {2026}, howpublished = {Zenodo concept DOI (all versions); resolves to the latest version, reviewer-packet-v3}, doi = {10.5281/zenodo.23269527}, url = {https://doi.org/10.5281/zenodo.23269527} }