{"id":676006,"date":"2026-11-05T19:06:11","date_gmt":"2026-11-05T19:06:11","guid":{"rendered":"https:\/\/www.newsbeep.com\/ie\/676006\/"},"modified":"2026-11-05T19:06:11","modified_gmt":"2026-11-05T19:06:11","slug":"axiom-math-wants-to-keep-ai-slop-out-of-mathematics","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/ie\/676006\/","title":{"rendered":"Axiom Math wants to keep AI slop out of mathematics"},"content":{"rendered":"

It feels like AI is cracking a new math problem every week. Last month, OpenAI released\u00a0719 manuscripts<\/a>\u00a0claiming solutions to some of the field\u2019s hardest problems. Even the computer checks can slip<\/a>. After years of AI slop, it\u2019s fair to wonder whether math is next.<\/p>\n

Axiom Math<\/a> is betting math can avoid that fate, not by slowing down, but by standing on firmer ground. The $1.6 billion startup<\/a> wants to build a verified foundation that AI agents can rely on to write software and, eventually, do science.<\/p>\n

On Wednesday, the company announced<\/a> it had formally verified the Stacks Project, one of the largest bodies of mathematics ever written by humans. Mathematicians often hold Stacks in rare regard \u2014 Columbia mathematician Peter Woit has claimed there\u2019s \u201cnothing else really comparable<\/a>,\u201d comparing the project to \u201cthe famous Bourbaki books<\/a>,\u201d a series that rebuilt math from its foundations<\/a> in the 20th century.\u00a0<\/p>\n

Woit\u2019s Columbia colleague Johan de Jong started the Stacks Project<\/a> in 2005 as an open source reference. Mathematicians have contributed to it ever since, building out results from college-level algebra all the way up to the field\u2019s most advanced ideas across algebra, geometry, and number theory.<\/p>\n

The company\u2019s fleet of AI agents<\/a> translates the library\u2019s roughly 7,654 pages into about 16 million lines of computer-checked code.<\/p>\n

Formalizing math is a way of making sure the structure underneath it is sound. Mathematicians rewrite the proof as code in a programming language called Lean, and a program called a proof assistant checks the code line by line. If the proof passes, mathematicians can trust that it\u2019s logically sound.<\/p>\n

Engineers use the same idea, called formal verification, to confirm their chip designs work<\/a>, while researchers in France have used it to catch bugs<\/a> in software that calculates family benefits.\u00a0<\/p>\n

For a library like the Stacks Project, checking each theorem is only part of the job. The theorems and definitions in Stacks are interconnected, and each one builds on the ones before it. Like a family tree, many results in Stacks trace back to the ones that came before it.<\/p>\n

That interconnectedness made Axiom unsure the project would work at first. The team had to keep every connection intact across about 16 million lines of Lean code.<\/p>\n

\u201cThings that are big and things that are delicate in life just don\u2019t go together,\u201d Axiom CEO Carina Hong told TechCrunch. \u201c[Stacks] is a collection of mathematical results that is the foundation of mathematics. You want [theorems] to be consistent and not, like, paradoxical. You want the definitions to not fight with each other.\u201d<\/p>\n

The 25-year-old CEO dropped out of a Stanford math PhD program<\/a> and founded the company in March 2025. In March, Axiom raised a $200 million Series A led by Menlo Ventures<\/a>.<\/p>\n

\u201cWe were not sure if vibe coding would be able to preserve the beauty of Stacks,\u201d Hong said.<\/p>\n

To pull off the project, the team gave its agents a loose structure and let them run in parallel. \u201cWith Stacks, we imposed a hierarchy\u00a0\u2026 [but] it was not, like, a complete hierarchy of dictating what every single agent was doing,\u201d said Ashvin Swaminathan, a member of Axiom\u2019s technical staff. \u201cThe agents were finding tasks for themselves and identified things that they could work on in parallel.\u201d<\/p>\n

Axiom also trained its own models to be good at math, an approach Hong said most other verification startups haven\u2019t taken. At first, the team relied on one of its in-house Lean experts to teach the agents a human sense of taste. Over time, Hong said, the agents have picked up taste on their own.<\/p>\n

The result fills one of the biggest gaps in formalized math. \u201cWhen you look at what has been formalized in mathematics, there\u2019s this huge black hole. And that black hole covers algebraic geometry,\u201d Swaminathan said.<\/p>\n

Until now, researchers who wanted to check new work in algebraic geometry with Lean had little to build on, Swaminathan said. \u201cWell, now they do.\u201d<\/p>\n

Axiom argues that each verified result becomes a building block, so future proofs can lean on checked math instead of starting from scratch. Terence Tao, the UCLA mathematician and Fields Medal winner, has made the general case more simply<\/a>: \u201cThe more formalized proofs you have, the more formalized proofs you can make.\u201d<\/p>\n

Mathematicians aren\u2019t Axiom\u2019s only intended audience. Developers have long struggled<\/a> to guarantee that their code is free of bugs and security holes. That problem grows as AI agents write more of the world\u2019s code.\u00a0<\/p>\n

Axiom is betting that the software of the future will need to rest on verified foundations, the way Stacks now does.<\/p>\n

\u201cWe believe that mathematics is the domain where you start building these things and that it\u2019s a transferable skill,\u201d Swaminathan said. \u201cAgents can read our code, understand it, and build new infrastructure on top of it. Our Lean formalization is now the substrate that agents can build upon.\u201d<\/p>\n

The way Axiom\u2019s agents built Stacks, working in parallel and picking their own tasks, is how Hong expects much of AI\u2019s future work to happen. AI agents, she argues, will need a well-built, reusable body of knowledge to keep from producing slop.<\/p>\n

\u201cYou want [agents] to have a reusable library for them to build on and keep pushing the frontier,\u201d Hong said. \u201cIf you slop drop in a way that\u2019s bad engineering choices in the beginning, then it\u2019s very hard for them to grow that boundary.\u201d<\/p>\n

Hong is confident enough in that approach to issue a dare. \u201cI openly challenge all the coding companies to work on formalization at this scale.\u201d<\/p>\n

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