OpenAI Releases 722 Manuscripts With Solutions to Hundreds of Math Problems

What OpenAI Released

OpenAI has published a batch of 722 manuscripts covering 372 result families, containing solutions to what the company describes as hundreds of long-standing open questions in mathematics. The results were produced by an unreleased frontier model and include summaries of the model's reasoning, estimates of the compute used, and statistics about the number of problems attempted.

According to OpenAI, the average result required the equivalent of three hours of ChatGPT Pro thinking. The papers are being released through a GitHub repository, with protocols for paper revisions and citations, while the company says it is continuing to explore other community-hosted alternatives that meet the committee's guidelines.

Mathematicians Weigh In

The release was coordinated with AGMAI, the Advisory Group on Mathematics and Artificial Intelligence, a newly formed independent body of elite mathematicians put together to communicate the results responsibly. AGMAI published its first recommendations in late September, urging AI labs to release mathematical results promptly and through established academic channels where possible, while disclosing details such as the name of the model used, prompts, and compute costs.

The group also called on AI companies to refrain from treating the release of mathematical results as marketing vehicles to promote their models, a practice it said inflicts significant harm on the mathematical community.

Broader Debate

The results add to a rapidly growing body of mathematical output from OpenAI and rival labs such as Anthropic, including work related to a Millennium Prize problem, one of the most famous open questions in the field. The speed at which AI labs have moved into mathematics this year has provoked debate over research practices, ethics, and how companies credit the human mathematicians whose work their systems build upon.

OpenAI first said in September that its model had resolved more than 100 long-standing open problems across most areas of mathematics. The full impact of the latest results is expected to take time as mathematicians assess and digest them.

Sources: Theverge