OpenAI's unreleased model claims 372 math result families, and specialists say most remain unverified

On October 6, OpenAI published 722 mathematical manuscripts grouped into 372 result families. An internal frontier model that the company has not released produced all of them. The public GitHub repository includes Lean formalizations and abridged summaries of the model's reasoning. OpenAI said the model worked on about 4,000 open problems during an internal evaluation period. The showcased families therefore represent less than 10 percent of what it attempted, and the selection criteria for that subset matter as much as the results.

The catalog claims resolutions of problems that would each be a major result if confirmed: the Mahler conjectures, an exact irrationality exponent for π, the Unique Games Conjecture, the free group factor isomorphism problem, and large-data global regularity for the relativistic Vlasov–Maxwell system, according to Unite.AI's summary of the repository. Fortune reported that the field responded with both celebration and criticism.

Verification is the gap. Lean formalizations cover the main result of 162 of the 722 papers. The remaining proofs are informal, and so far only OpenAI's researchers and the model itself have read them in full. Other tallies of machine-checked coverage differ. Even a passing Lean check proves only the formal statement, so a reviewer still has to confirm that the formal statement matches the conjecture as mathematicians state it. Dana Moshkovitz, a theoretical computer scientist who has spent her career on the Unique Games Conjecture, said OpenAI's document states plainly that the conjecture is proven. She also said the proof was written so badly that she could not read it without AI help, The Decoder reported.

The professional response has been organized. A group calling itself the Association for Human Mathematics (AHM) accused OpenAI of "total disregard" for the norms of scientific research and urged mathematicians to stop working with the company. Tao, a Fields medalist, posted the statement as a guest post on his blog on October 7, per The Decoder. Earlier, OpenAI withdrew its sponsorship of a Caltech "Mathathon" after an open letter against the event drew about 500 signatories.

The release also prompted security warnings. AI Post relayed claims that rapid AI progress in mathematics could threaten internet security, and Ethereum researcher Justin Drake issued what CryptoSlate called a "bunker mode" warning for Bitcoin and Ethereum. The Week described the argument as a "Mathspocalypse." Coverage of the security case agrees that there is no evidence AI models are close to breaking deployed cryptography. The concern is that faster discovery of new algorithms would shorten the time defenders have to migrate.

Verified so far: the volume of output, and a machine-checked subset whose formal statements still need human audit. Asserted but not verified: the correctness of the informal flagship proofs. No outside party can evaluate the process, because the model is unreleased and the attempts that did not make the cut are unpublished.