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Axiom Math's Stacks Project formalization

The gist

Latest: Axiom Math Formalizes Stacks Project into 16M-Line Lean Library

The release is a large-scale test of whether AI-coordinated code generation can produce verified, high-quality output at the scale of a major mathematical reference. The maintainer's request not to submit AI-generated content to the upstream project introduces a tension between the library's existence and its integration into the original work.

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The full picture

Axiom Math used a coordinated swarm of AI agents to convert the Stacks Project, a roughly 7,500-page algebraic geometry reference, into a 16-million-line Lean library of computer-verified proofs, released as free open-source software. Every proof is checked by Lean's kernel, with no `sorry` placeholders or `native_decide` present, and each result links back to its original text and dependencies. The agent swarm was organized like an engineering organization, with different agents handling architecture, core definitions, and individual proofs. In the course of formalization, AI agents identified dozens of statements in the original text that required correction. The formalized library is intended as a reusable foundation for further mathematical work. However, Stacks Project original maintainer Johan de Jong asked on October 21, 2026 that contributors not submit AI-generated comments or pull requests to the upstream project.

How it developed
6 November 2026added 8 Nov

Axiom Math released a 16-million-line Lean library of machine-verified proofs covering the Stacks Project, a roughly 7,500-page algebraic geometry reference, built by an AI agent swarm that also identified dozens of corrections to the original text, with no `sorry` placeholders and each result linked to its source.

Stacks Project maintainer Johan de Jong asked on October 21, 2026 that contributors not submit AI-generated content to the upstream project, leaving the formalization facing an explicit barrier to upstream integration.

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