OpenAI 于 10 月 26 日星期一公布三项结果——ETH 反证、挂谷集进展、QCD 质量间隙上界；按 Scientific American，Anthropic 在仅仅几小时后发布了自己的 ETH 反证——而这批发布正与 OpenAI 自家顾问组的建议相抵触

OpenAI 的研究帖（RSS pubDate「Mon, 26 Oct 2026 14:30:00 GMT」；抓取到的 openai.com/news 列表页标题为「Working with academic communities to build scientific understanding」、Research、2026 年 10 月 26 日）摘要开篇：「Today, in collaboration with researchers at Caltech, ETH Zurich, and the MIT Center for Theoretical Physics (“MIT CTP”), we're sharing three new results across mathematics, computer science, and physics: a proof that the Exponential Time Hypothesis is false; progress on the Kakeya set conjecture in finite fields; and a new upper bound on the QCD mass gap.」——这是本 run 完整看到结尾的官方捕获唯一一句（reader 捕获在第二句句首截断，三次尝试一致；记录在源备注里，超出此句的内容全部来自已打开的媒体层）。Scientific American（Joseph Howlett 与 Peter Hall，Lee Billings 编辑；页面日期标签「October 27, 2026」；原始 HTML 全文打开）这样框架这次发布：「Just a few weeks after dropping hundreds of artificial-intelligence-generated math breakthroughs on a field that's already in crisis, OpenAI is piling on more.」与「Yesterday the company dropped three massive proofs that touched on math, physics and computer science, sending shockwaves rippling through those fields.」按该媒体，ETH 结果：「OpenAI's proof provides an algorithm to solve 3-SAT that is just a tiny bit faster than exponential time, refuting ETH.」——意义：「First suggested in 1999, ETH can be thought of as an even stronger version of P ≠ NP」，核验：「Russell Impagliazzo and Ramamohan Paturi, two computer scientists at the University of California, San Diego, who first suggested ETH, as well as Ryan Williams, a computer scientist at the Massachusetts Institute of Technology, are now working with OpenAI to perform an independent investigation of the result.」Kakeya 按该媒体：「In last month's “slop drop,” OpenAI's internal model solved the four-dimensional Kakeya problem. Now it's solved the problem in every dimension, proving that there's a limit to how small a space a high-dimensional stylus can take up.」Yang-Mills 按该媒体：「Today OpenAI claimed to prove the first of the two—that the “Yang-Mills theory” is mathematically consistent in all relevant cases: in other words, it “exists.”」——而「The part of the Clay problem that remains open is more quantitative, asking whether a certain number in the theory, called the “mass gap,” is always bigger than zero.」流程之争是故事的另一半：「These latest releases from OpenAI continue to contradict the recommendations of the Advisory Group on Mathematics and Artificial Intelligence (AGMAI), the expert panel the company organized in response to widespread criticism from mathematicians.」「The large language model (LLM) that produced the new proofs remains proprietary, and the exact prompts used, time spent computing and “chain of thought outputs” involved have not been made public.」以及「a paper relating to the “million-dollar” Yang-Mills problem (one of seven Millennium Prize Problems set by the Clay Mathematics Institute in 2000) has still not been made public」。对手公告：「Mere hours after OpenAI's announcement, Anthropic posted its own independent result disproving ETH, based on work by an internal Anthropic model.」——按 OfficeChai（published_time 2026-10-27T05:12:13+00:00；正文经 reader 通道读取），那一轮是 Claude Opus 6，消耗约 1400 万 token，耗时约六小时，证明写作阶段无人类引导——这是 OfficeChai 对 Anthropic 公告的转述，而该公告的第一方页面本 run 未能定位（sitemap 全量抓取——583 条 URL，ETH/proof 零匹配；/news 与 /research 索引页原始抓取；四个 slug 探测 404）。