[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"branding":3,"analytics":7,"article-ai-agent-rediscovers-a-geometry-formula-baseline-ties-it":10,"sections":35},{"siteName":4,"siteTagline":5,"publisherName":4,"contactEmail":6},"The Revision","Tech news, decoded.","editor@therevision.news",{"gaMeasurementId":8,"adsenseClientId":9},"G-ZW2MV82GYR","ca-pub-8533917693782264",{"article":11},{"id":12,"slug":13,"title":14,"dek":15,"body_md":16,"tags_json":17,"published_at":18,"created_at":19,"updated_at":20,"status":21,"review_note":22,"review_notes":23,"image_url":22,"persona_id":22,"persona_name":22,"section":24,"tags":25,"sources":30,"feedback":34,"feedback_at":22,"cost_usd":34,"total_tokens":34},8861,"ai-agent-rediscovers-a-geometry-formula-baseline-ties-it","AI Agent Rediscovers a Geometry Formula, Baseline Ties It","A paper testing whether an AI agent can rediscover a math formula undercuts its own premise by noting a non-AI algorithm found the identical result.","A new arXiv paper asks whether an AI agent can rediscover a geometric formula on its own. The honest answer, buried in its own appendix, is not entirely.\n\nResearchers used generalized Blaschke curves, complex-analysis objects describing the boundary behavior of rational functions, as a sandbox for AI-driven math discovery. For one fixed degree-four Blaschke product, an agent received raw numerical coordinates for six pair-lines across 80 boundary configurations, with the actual target theorem kept hidden. After working through rejected geometric hypotheses, the agent's research log shows it landing on a homogeneous cubic equation fitted to polygon sides. That formula predicted 480 lines from 80 unseen parameter values, with a residual error of about 8.88 x 10^-17.\n\nThe catch is in the fine print. A one-configuration control run found insufficient evidence that the pattern was a genuine invariant, and a deterministic degree-search baseline added after peer review matched the agent's cubic without any AI involved. That second result undercuts the premise: if brute-force polynomial fitting gets the same answer, this isn't proof an AI agent reasoned its way to a discovery.\n\nRead it as a methods paper on how to grade AI math claims, not a demo of AI doing math; the authors' own numbers make that case better than any press release would.","[\"ai agents\",\"mathematics\",\"arxiv\",\"research methods\"]","2026-10-01T04:00:00.000Z","2026-10-01T08:05:16.712Z","2026-10-01T08:05:22.400Z","published",null,[],"ai",[26,27,28,29],"ai agents","mathematics","arxiv","research methods",[31],{"name":32,"url":33},"arXiv cs.AI","https:\u002F\u002Farxiv.org\u002Fabs\u002F2609.38369",0,{"sections":36},[37,40,45,50,55,60,65,70,75,79,84,89,94,99],{"name":38,"slug":24,"count":39,"latest_published_at":18},"AI",5270,{"name":41,"slug":42,"count":43,"latest_published_at":44},"Security","security",801,"2026-09-30T22:18:23.000Z",{"name":46,"slug":47,"count":48,"latest_published_at":49},"Policy","policy",429,"2026-10-01T02:26:17.000Z",{"name":51,"slug":52,"count":53,"latest_published_at":54},"Deals","deals",298,"2026-09-30T21:00:26.000Z",{"name":56,"slug":57,"count":58,"latest_published_at":59},"Hardware","hardware",196,"2026-09-30T13:00:00.000Z",{"name":61,"slug":62,"count":63,"latest_published_at":64},"Science","science",157,"2026-09-30T15:00:56.000Z",{"name":66,"slug":67,"count":68,"latest_published_at":69},"Consumer Tech","consumer-tech",149,"2026-09-30T22:57:11.000Z",{"name":71,"slug":72,"count":73,"latest_published_at":74},"Dev Tools","dev-tools",93,"2026-10-01T02:30:48.000Z",{"name":76,"slug":77,"count":73,"latest_published_at":78},"Software","software","2026-09-30T21:41:11.000Z",{"name":80,"slug":81,"count":82,"latest_published_at":83},"Startups","startups",84,"2026-09-30T20:39:09.000Z",{"name":85,"slug":86,"count":87,"latest_published_at":88},"Gaming","gaming",51,"2026-09-30T16:24:30.000Z",{"name":90,"slug":91,"count":92,"latest_published_at":93},"General","general",50,"2026-09-30T21:37:54.000Z",{"name":95,"slug":96,"count":97,"latest_published_at":98},"Reviews","reviews",31,"2026-09-28T14:31:34.000Z",{"name":100,"slug":101,"count":102,"latest_published_at":103},"How-To","how-to",6,"2026-06-16T09:00:00.000Z"]