- Will OpenAI retract its Navier-Stokes solution by December 31, 2026?6¢6%
OpenAI’s September 2026 announcement of an AI-generated proof showing finite-time blowup for the forced 3D Navier-Stokes equations, backed by a Lean formalization, has sustained strong market conviction against retraction. The result stems from an internal multi-agent system consuming 130 billion tokens, and while a credit dispute with mathematicians Tristan Buckmaster and Levent Alpöge plus a mismatch between the natural-language write-up and Lean code have drawn scrutiny, no fatal flaw has emerged in subsequent reviews. Recent withdrawals of unrelated OpenAI math preprints highlight the company’s willingness to correct errors quickly, yet the Navier-Stokes claim remains intact amid deliberately unhurried Clay Institute evaluation. Traders see limited realistic paths to retraction by year-end absent a verified contradiction in the machine-checked steps.
Rules
This market will resolve to "Yes" if OpenAI retracts its Navier-Stokes solution between market creation and December 31, 2026, 11:59 PM ET. Otherwise, this market will resolve to "No". OpenAI's Navier-Stokes solution refers to the Navier-Stokes solution that OpenAI announced on September 8, 2026 (https://openai.com/index/navier-stokes-solution/). A qualifying retraction occurs when OpenAI officially and publicly states that the published proof was incorrect or does not solve the Navier-Stokes problem. Statements by any other party will not qualify. Revisions that do not retract the correctness of the initial proof as a solution to the Navier-Stokes problem will not qualify. Statements about the authorship, credit, or attribution of the result, or about whether it qualifies for the Millennium Prize, will not on their own qualify. The primary resolution source for this market will be official information from OpenAI; however, a consensus of credible reporting may also be used.