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# 📄 MillenniumAudit

**Daniel Ari Friedman** (2026) · *Zenodo*

[![DOI](https://img.shields.io/badge/DOI-10.5281%2Fzenodo.22243473-blue)](https://doi.org/10.5281/zenodo.22243473)

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## Abstract

> Statement-level forensic audit of the MillenniumLean package (AIX Global, Zenodo 10.5281/zenodo.22226553), which claims kernel-checked Lean 4 proofs of the six remaining Clay Millennium Problems. The audit independently reproduces every kernel-hygiene claim (clean build, zero sorry, zero project axioms) under the pinned toolchain, then audits what the theorem types actually say. Verdict: none of...

## Keywords

`lean-4` · `formal-verification` · `millennium-prize-problems` · `claim-audit` · `adversarial-review` · `evidence-first`

## Methods

- Independent kernel reproduction (pinned toolchain, mathlib manifest revision)
- Statement-level binder parsing vs official Clay statements
- Meta-audit of the package's own evidence artifacts
- Three-lane hostile red-team pass on the audit before publication

## Key Findings

- Kernel claims are TRUE and reproduce byte-for-byte - and evidentially void
- Final theorems are conditionals, defs, or tautologies; no Clay content in any type
- The universalization tower proves only 0 < n + 1 (Tower.lean:11)
- 259/259 quoted lines byte-verified; no kernel output disputed

## Artifacts

- GitHub repository: [docxology/millennium_audit](https://github.com/docxology/millennium_audit)
- DOI: [10.5281/zenodo.22243473](https://doi.org/10.5281/zenodo.22243473)
- Zenodo record: [https://zenodo.org/records/22243473](https://zenodo.org/records/22243473)
- PDF: [Friedman_2026_MillenniumAudit.pdf](Friedman_2026_MillenniumAudit.pdf)
- PDF SHA-256: [See Zenodo record](https://zenodo.org/records/22243473)

## Citation

> Daniel Ari Friedman (2026). *MillenniumAudit*. Zenodo. DOI: 10.5281/zenodo.22243473. URL: https://doi.org/10.5281/zenodo.22243473.

## Related

- [Full Bibliography](../../pages/BIBLIOGRAPHY.md)
- [All Papers](../README.md)
