OpenAI's own announcement page exists and says what the video says it says. In OpenAI's wording, the company is sharing "a solution to the Navier–Stokes existence and smoothness problem, one of the Millennium Prize Problems," produced by an internal system, accompanied by a writeup and a Lean formalization. OpenAI states it used "an internal model that is significantly more capable than GPT-6 Astra," and that since 28 August it has been training a new internal model with ongoing training and improving performance.

The decisive sentence on scope is OpenAI's own. The page states that the proof concerns a fluid that "has a smooth force applied to it," and that the result "resolves the Navier–Stokes Millennium Prize problem by establishing statement 'C' (and also 'D') in the official Millennium Prize formulation." The Clay formulation contains four options: A and B concern blow-up with no external forcing, C and D permit a smooth external forcing term. OpenAI addressed C and D. OpenAI itself draws the contrast when describing the separate Alpöge and Buckmaster Euler result as "the unforced version, where no external force is applied."

On duration, OpenAI's page states the question "has remained unresolved for roughly 90 years," anchored to Jean Leray's 1934 result. The equations themselves date to the nineteenth century, and the Millennium Prize designation dates to 2000.

Reporting is consistent that the Clay Mathematics Institute has not certified the result, that independent peer review has not occurred, and that OpenAI has said it does not intend to claim the $1 million prize. Clay's published rules require publication in a peer-reviewed journal followed by a roughly two-year acceptance period.

On physical implications, Terence Tao wrote before the announcement that "the regularity problem is not important for its direct physical application," noting computational fluid dynamics is a mature field whose empirical limits are already understood, and that a blow-up result would be intellectually interesting but would not radically transform applied modelling.

The announcement is also the subject of an active priority dispute. Roughly twelve hours before OpenAI's post, NYU's Tristan Buckmaster, with Anthropic's Levent Alpöge, published related Euler results and alleged OpenAI built on their unpublished work. OpenAI denies wrongdoing, says its effort began 1 September after hearing a rumour, and states it recognises the priority of the Alpöge and Buckmaster forced-Euler work.