OpenAI Just Claimed a Huge Math Discovery. Some Academics Are Crying Foul
A landmark announcement by the frontier AI lab has been overshadowed by accusations of impropriety.
OpenAI Claims Breakthrough in Solving Century‑Old Math Problem
OpenAI announced today that its artificial intelligence model has found a solution to the Navier‑Stokes equation, a 200‑year‑old mathematical problem that describes the natural behavior of fluids such as water and air. This equation is one of the seven unsolved problems in the Clay Millennium prizes, each worth $1 million.
AI Model Training and Solution
Sebastien Bubeck, a mathematician and AI researcher at OpenAI, said the company began training a new AI model with advanced mathematical capabilities on August 28. After more than a thousand agents worked on the problem for over 50 hours, the model produced a solution. Bubeck recalled thinking there must be an error, then noting that on Sunday morning the final solution was available in Lean‑formalized form. Lean is a programming language used to formalize mathematical proofs.
Cost and Computational Power
Mark Chen, head of research at OpenAI, said the compute required to reach the result cost “in the millions of dollars,” underscoring the substantial resources needed for AI‑driven breakthroughs in mathematics.
Controversy over Credit and Collaboration
Tristan Buckmaster, a mathematician at NYU, and Levent Alpöge, a researcher at Anthropic, posted documents on Monday claiming key advances related to the Navier‑Stokes problem using AI models such as Claude and Codex. Buckmaster alleged that OpenAI learned of their work last week, then rapidly allocated significant resources to the problem. He further said he asked OpenAI leaders whether the company had accessed the pair’s Codex logs; the response was that the model “didn’t look up user data,” but OpenAI did not answer questions about training data. Buckmaster also claimed OpenAI offered proposals, including one that would let him publish a paper announcing the Navier‑Stokes solution by an internal OpenAI model, but without Alpöge’s name.
Openai’s Response and Denial
In the press briefing, Bubeck and other OpenAI executives denied any inspection of Buckmaster and Alpöge’s Codex prompts to inform their work. Bubeck said, “We, whether it’s the researchers or the agents, did not see any of their work until it was released publicly last night.” He added that OpenAI recognizes the priority of Alpöge and Buckmaster’s work on unforced Euler and congratulated them on their achievement, emphasizing that OpenAI did not use their prompts or proof to guide its models. Ven Chandrasekaran, a mathematician at OpenAI, noted that the company’s solution differs substantially in nature from the one produced by the external researchers.
Implications and Future Developments
The dispute over credit for solving the Navier‑Stokes equation highlights the emerging challenges as AI takes on more of the proof‑finding workload. As artificial intelligence becomes a regular tool in mathematical research, similar conflicts over attribution may become more frequent. The Navier‑Stokes solution carries significant implications for physics, engineering, and climate modeling, and the unfolding debate will likely shape how future AI‑generated discoveries are recognized and shared.
Source: wired.com · 2026-09-08