NYU mathematician Tristan Buckmaster’s September 2026 public dispute with OpenAI over credit and potential use of his unpublished Navier-Stokes work in Codex sessions remains the central driver of market odds on any lawsuit. Buckmaster and collaborator Levent Alpöge allege OpenAI rapidly mirrored their LLM-assisted approach after learning their identities, offered authorship deals that excluded Alpöge due to his Anthropic role, and issued career-related warnings during calls; OpenAI has categorically denied any influence from user data and maintains its internal agent-swarm proof followed a distinct path. As of mid-October, Buckmaster has stopped feeding original ideas into Codex but has not filed suit, with trader sentiment reflecting the low probability of near-term litigation absent new evidence, regulatory scrutiny of AI training data, or further escalation in the competitive AI-math race.