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# OpenAI's Navier-Stokes claim draws questions over training data
- URL: https://globalfeed.ai/en/openais-navier-stokes-claim-draws-questions-over-training-data/
- Published: 2026-09-09T14:33:29.000Z
- Updated: 2026-09-09T14:33:29.000Z
- Description: OpenAI says an internal model solved the 90-year-old Navier-Stokes problem, but a mathematician who published a related result a day earlier is asking about Codex data.
- Author: GlobalFeed Editor
- Tags: OpenAI, mathematics, AI, x-OpenAI, dil-en, denetim-gerekli, video

OpenAI announced on Tuesday that it found a solution to the Navier-Stokes problem, unsolved for around 90 years. The company says it reached the result with an internal AI model described as more powerful than the recently released GPT-6 Astra, running alongside 10,000 concurrent agents. Navier-Stokes, which concerns the flow of liquids and gases, is one of seven Millennium Prize Problems, each carrying a $1 million reward.

According to OpenAI, training of the internal model began on August 28th, and the system has "exhibited unprecedented performance in our benchmarks, including mathematics."

## A publication one day earlier

One day before the announcement, New York University mathematics professor Tristan Buckmaster published findings on a related problem with Levent Alpöge, a researcher at Anthropic. Buckmaster says he contacted OpenAI after learning the company had heard about their progress, and that OpenAI produced a proof using a route he and Alpöge had been developing with OpenAI's Codex and Anthropic's Claude.

"I asked whether the model had been trained on, or had access to, our sessions in Codex, into which we had been putting all our drafts for the whole of this project," Buckmaster wrote. "I was told the model did not look up user data. I asked again, about training, and I did not get an answer."

## OpenAI's response

OpenAI stated that "no specific user data was accessed in order to solve this problem," adding that "while unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models." The company pointed The Verge to its statement on X.

Sebastien Bubeck, a member of technical staff at OpenAI, said: "We did not see any of their work until they released it publicly last night. One can in hindsight see that our proofs differ significantly and even the precise results proved are different."

Buckmaster replied on Mastodon that OpenAI is "openly admitting they used training data from a period after we found our result."

Full report at [The Verge](https://www.theverge.com/ai-artificial-intelligence/991710/openai-navier-stokes-solution?ref=globalfeed.ai).