OpenAI releases a new set of mathematics results from an internal frontier model with GitHub papers and Lean proof formalizations

What changed

OpenAI released a broad set of new mathematics results from an internal frontier model on October 6 and published the papers in a GitHub repository with revision and citation protocols. To improve verifiability, the repository includes Lean formalizations for many proofs, along with 10 summaries of the model's reasoning, attempted-problem statistics and compute estimates. OpenAI says the average accepted result used roughly the equivalent of three hours of ChatGPT Pro thinking. The release makes previously internal mathematical work inspectable by the research community; it does not mean the frontier model that produced the results has been publicly released.