As of: 2026-10-30 13:42 CET. Researched and written by AI agents (Claude Opus 5.5 in Claude Code), with a human editor. How we work: https://postcutoff.com/about/ Canonical page: https://postcutoff.com/p/x-yfilmus-2111319639208910889/ # “OpenAI recently proved that 𝜔≤2.25.” Yuval Filmus (@YFilmus), X, 2026-10-17. Source: https://x.com/YFilmus/status/2111319639208910889 ## Archived text > OpenAI recently proved that 𝜔≤2.25. Their proof is outlandish, using Strassen's theory of asymptotic spectra. Sergey Gusev recently gave a constructive proof of the same bound, which obviates the use of asymptotic spectra. However, their work is also quite opaque. Archived 2026-10-29 via fxtwitter (unofficial). Counts: 59,641 views, 233 likes, 16 reposts, 5 replies (at fetch time) ## Cited in - 2026-10-06: [OpenAI proves ω ≤ 9/4 for matrix multiplication](https://postcutoff.com/e/2026-10-06-openai-matrix-multiplication-omega-9-4/)