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mathvet/README.md

MathVet — independent fidelity reviews of AI-generated formal mathematics

Does the Lean statement say what the paper claims? Lean checks proofs. MathVet reviews statements against the headlines they are said to establish, in the fields of the community's formalization.yaml standard, independently of every lab, and publishes the error rate of its own verdicts.

Site: math.vet · First review: openai/math at commit 4eaee87 (release of 2026-10-06; reviewed 2026-10-08 at adc7f124, moved to fd4aeeb2 on 2026-10-10 and to 4eaee87 on 2026-10-30 as upstream updated) · Status: pre-referee (see PROTOCOL.md).

openai/math families
in the release 373
with Lean (Comparator challenges) 245
Lean states the headline in full 152
Lean states something narrower (59 partial, 18 weaker-statement, 16 supporting-only) 93
no Lean 128

Read the explainer first. Nothing here claims that any theorem is false; the review says what was machine-checked as stated, what was checked in a narrower form, and what was not checked at all.

What is in this repository

path what
EXPLAINER.md the 1,500-word account of the review and its limits
PROTOCOL.md the pre-registered referee protocol: frozen 40-family sample, rubric, decision lines, power
reviews/openai-math/ the review: fidelity-table.{csv,json} (245 families), challenge-status.{csv,json} (419 challenges), formalization-review.yaml (the review in the standard's shape), STATUS.md, sample.txt + sample.sha256, the audit source files under source/, every build / closure / Comparator log under evidence/
checker/ the scripts that build a challenge's solution, run the closure comparison and run the real Comparator
dataset/ 419 challenge statements paired with their papers' main theorems, scope notes and fidelity labels (Apache-2.0)
scripts/ build_review.py regenerates every derived file and the site from the sources; build_index.py, import_cones.py, build_ml_pairs.py rebuild the sources from a clone
docs/ the static site served at math.vet

Verdict scale

full — the Comparator statement(s) state the family's headline claim · partial — only a special case, or only one of several co-equal headline claims · weaker-statement — a nontrivially weaker statement · supporting-only — a lemma or auxiliary statement · none — nothing in the summary is covered. The verdict policy is in PROTOCOL.md; the repository's own scope note is quoted next to every verdict.

Reproduce

git clone https://github.com/openai/math upstream/openai-math && git -C upstream/openai-math checkout fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb
pip install pyyaml markdown
python3 scripts/build_review.py            # tables, YAML, site from the committed sources and logs
checker/run_queue.sh CirculantHadamard     # rebuild and re-check a challenge yourself (see checker/README.md)

Corrections and contact

MathVet is run by Tejpal Virk (Berkeley, CA), a data scientist with seven years of industry experience, as an independent reviewer with no affiliation to any lab whose work is reviewed. Open an issue with the family number and the challenge line you have in mind. Corrections are made in public and recorded in CHANGELOG.md. MathVet takes no funding from any lab whose work it reviews; conflicts, if any arise, are disclosed here.

License

Apache-2.0 for everything MathVet wrote. The reviewed formalization, manuscripts, scope notes and challenge files are OpenAI's, Apache-2.0, redistributed here only as quoted excerpts, logs and the paired dataset (see dataset/README.md for what was changed).

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