{"rewrite":{"id":"r_3a78f3034dc3c06b0683e092","clusterId":"c_a15aba27abc8d5fbc009f059","slug":"lana-project-interim-report-withholds-judgment-on-iut-theory-proof","model":"deepseek-v4-flash","headline":"LANA Project Interim Report Withholds Judgment on IUT Theory Proof","summary":"The LANA Project, which is working on computer verification of Inter-universal Teichmüller (IUT) theory, published an interim report on July 17, 2026. The report states that the project continues to withhold judgment on whether the abc conjecture has been proved by IUT theory, and points out unclear points in the derivation of Corollary 3.12 from Theorem 3.11. The project aims to refine remaining issues and translate them into Lean code.","whyItMatters":"The LANA Project's interim report publicly acknowledges specific gaps in the IUT theory proof, indicating that the verification process has not yet reached a conclusion and that the project is not rushing to a final judgment.","webCardHtml":"\u003cp\u003eThe report, released in conjunction with a presentation at ZEN University\u0026#39;s ZMC, organizes the history of discussions around IUT theory and identifies specific points where the original papers are not clearly traceable. The project members find unclear points in the process of deriving Corollary 3.12 from Theorem 3.11 in the third paper of IUT theory. The issues include the two calculations of q-pilot logarithmic volume being considered \u0026#39;tautologically equivalent\u0026#39; and how one of the multiple possible data from an algorithm output is identified with the data determined from the input. The report also notes its relationship with the 2018 Scholze-Stix report.\u003c/p\u003e","blueskyPost":"The LANA Project's interim report on IUT theory verification withholds judgment on the abc conjecture proof, citing unclear points in the derivation of Corollary 3.12. The project will continue independent verification and dialogue with Mochizuki.","twitterPost":"The LANA Project's interim report on IUT theory verification withholds judgment on the abc conjecture proof, citing unclear points in the derivation of Corollary 3.12. The project will continue independent verification and dialogue with Mochizuki.","threadsPost":null,"newsletterBlurb":"The LANA Project published an interim report on its computer verification of IUT theory. The project continues to withhold judgment on whether the abc conjecture has been proved, and points out specific unclear steps in the derivation of Corollary 3.12. Future work includes refining the issues and building a Lean formalization community in Japan.","attributionJson":"[{\"source\":\"ASCII.jp\",\"url\":\"https://ascii.jp/elem/000/004/420/4420597/?rss\",\"title\":\"LANA Project, Aiming for Computer Verification of IUT Theory, Publishes 'Project LANA Interim Report on IUT Theory'\"}]","lintFlagsJson":null,"lintHits":0,"costUsd":0,"inputTokens":4207,"outputTokens":1381,"status":"published","repairAttempts":0,"nextRepairAt":null,"factsAttemptedAt":1784277340,"createdAt":"2026-07-17T08:30:21.000Z","publishedAt":"2026-07-17T08:32:28.000Z","updatedAt":"2026-07-17T08:30:21.000Z"},"cluster":{"id":"c_a15aba27abc8d5fbc009f059","canonicalTitle":"IUT理論のコンピューターによる検証を目指すLANAプロジェクト、 「Project LANA Interim Report on IUT Theory」を公開","representativeArticleId":"a_6a60e1e34fa3d5c32e6302d8","sourceCount":1,"writtenSourceCount":1,"writeAttempts":0,"isSolo":true,"entitiesJson":"{\"anime_titles\":[],\"manga_titles\":[],\"work_titles\":[],\"studios\":[],\"people\":[],\"type\":\"news\",\"domain\":\"other\",\"is_roundup\":false}","contentType":"news","status":"published","firstSeenAt":"2026-07-17T05:30:00.000Z","lastSeenAt":"2026-07-17T05:30:00.000Z","updatedAt":"2026-07-17T08:32:29.000Z"},"attribution":[{"source":"ASCII.jp","url":"https://ascii.jp/elem/000/004/420/4420597/?rss","title":"IUT理論のコンピューターによる検証を目指すLANAプロジェクト、 「Project LANA Interim Report on IUT Theory」を公開"}],"entities":{"anime_titles":[],"manga_titles":[],"work_titles":[],"studios":[],"people":[],"type":"news","domain":"other","is_roundup":false},"keyFacts":null}