{"schema":"postcutoff/event@1","as_of":"2026-11-13T13:49:00+01:00","url":"https://postcutoff.com/e/2026-08-18-palomar-lean-registry/","md":"https://postcutoff.com/e/2026-08-18-palomar-lean-registry/index.md","disclosure":{"written_by":"AI agents (Claude Opus 5.5 in Claude Code)","editor":"human editor","policy":"https://postcutoff.com/about/"},"license":null,"id":"2026-08-18-palomar-lean-registry","date":"2026-08-18","date_precision":"day","short_title":"Palomar launches: a registry of Lean-verified mathematics to curb misrepresented AI proof claims","deck":null,"takeaway":"On 18 Aug 2026 the Lean FRO and ICARM launched Palomar (palomar-registry.org), \"the analogue of a preprint server for Lean proofs\".","category":"science","category_label":"Science & math","importance":3,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":[{"n":1,"title":"Palomar registry","url":"https://palomar-registry.org/","type":"official","group":"primary","domain":"palomar-registry.org"},{"n":2,"title":"Terence Tao: Palomar, a registry of Lean-verified mathematics","url":"https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/","type":"official","group":"primary","domain":"terrytao.wordpress.com"},{"n":3,"title":"Palomar statement","url":"https://palomar-registry.org/statement","type":"official","group":"primary","domain":"palomar-registry.org"},{"n":4,"title":"GitHub: leanprover/comparator","url":"https://github.com/leanprover/comparator","type":"code","group":"primary","domain":"github.com"},{"n":5,"title":"GitHub: mathlib-initiative/formalization.yaml","url":"https://github.com/mathlib-initiative/formalization.yaml","type":"code","group":"primary","domain":"github.com"},{"n":6,"title":"formal-conjectures commit d9f6ffa: add linter to enforce Palomar submissions (#7631)","url":"https://github.com/google-deepmind/formal-conjectures/commit/d9f6ffa8dd7fc2b8b597dd1f7a824d27b12b88af","type":"code","group":"primary","domain":"github.com"}],"official":6,"filed":"2026-09-29","updated":"2026-10-29","orgs":["Lean FRO","ICARM"],"title":"Palomar launches: a registry of Lean-verified mathematics to curb misrepresented AI proof claims","summary":"On 18 Aug 2026 the Lean FRO and ICARM launched Palomar (palomar-registry.org), \"the analogue of a preprint server for Lean proofs\". It indexes GitHub repositories whose formal results are checked mechanically with Lean's Comparator tool and checked with an LLM for semantic alignment with the informal statement. It was built in response to the flood of AI-generated proofs, and explicitly does not claim peer-review status.","key_facts":["Each entry: a human-readable challenge file, a solution module with the formal proof, and a formalization.yaml with informal description and metadata","Automated checks: mechanical verification via leanprover/comparator plus LLM-based semantic-alignment check","Scientific advisory board incl. Jeremy Avigad, Matthew Ballard, Jaume de Dios, Nestor Guillen, Bryna Kra, Kim Morrison, Terence Tao, Ravi Vakil, Akshay Venkatesh","First entry PALOMAR-2026-08-13-000001 (teorth/sendov, the Sendov conjecture formalisation)","Aim: minimal safeguard against misrepresentation of AI claims, not a judgement of novelty or significance","29 Oct 2026: Google DeepMind's formal-conjectures repository made Palomar links mandatory: a new linter (linter.style.formal_proof_palomar, on by default) requires every formal proof of a 'research solved' problem, including conditional ones, to link to a Palomar entry; the 1,096 existing non-Palomar proof annotations on 1,070 declarations in 734 problem files got local opt-outs (commit d9f6ffa, PR #7631)"],"key_numbers":[],"tags":["math","lean","formal-verification","infrastructure","ai-proofs"],"science":{"field":"mathematics","subfield":"formal verification / research infrastructure","problem":"Trustworthy registration of (often AI-generated) formal proofs","result":"Public registry of Lean-verified results with automated formal and semantic checks.","open_since":"","ai_system":["n/a"],"human_role":"Human-built infrastructure; uses an LLM for semantic-alignment checks","verification":{"key":"lean","label":"Lean-verified","text":"Lean Comparator + LLM alignment check"},"status":"confirmed","shock":""},"body_md":"## What happened\n\nAs AI systems produced Lean proofs of old and new results at a growing rate, the Lean community set up a registry that makes formal claims inspectable and checks mechanically that a formal statement matches what is claimed informally.\n\n## Why it matters\n\nFormal verification became the main way to trust AI mathematics in 2026. Palomar supplies the missing public infrastructure: a place where \"proved in Lean\" can be checked rather than asserted.","disputed":[],"related":[{"id":"2026-09-18-sair-open-math-model-initiative","url":"https://postcutoff.com/e/2026-09-18-sair-open-math-model-initiative/","date":"2026-09-18","date_precision":"day","short_title":"SAIR launches the Open Math Model initiative for community-governed open-weight math AI, plus Lean Kernel and Andrews–Curtis challenges","deck":null,"takeaway":"It is the most concrete attempt by leading mathematicians to build an open, independent alternative to frontier labs' math AI, with governance and data-consent rules written in from the start.","category":"open-source","category_label":"Open source","importance":3,"confidence":"high","status":{"key":"confirmed","labels":["Confirmed"]},"sources":10,"official":9,"filed":"2026-09-29","updated":"2026-10-20","orgs":["SAIR Foundation","Lean FRO","Caltech"]},{"id":"2026-08-05-sendov-conjecture-proved","url":"https://postcutoff.com/e/2026-08-05-sendov-conjecture-proved/","date":"2026-08-05","date_precision":"day","short_title":"Sendov's 1958 conjecture on polynomial roots proved with GPT-5.6 Pro","deck":"Tao simplifies and formalises it","takeaway":"It is a classic, well-known conjecture closed by AI, with the leading expert on the problem verifying and formalising the result.","category":"science","category_label":"Science & math","importance":4,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":2,"official":1,"filed":"2026-09-29","updated":"2026-10-19","orgs":["OpenAI"]}],"people":[{"id":"terence-tao","name":"Terence Tao","url":"https://postcutoff.com/person/terence-tao/"}],"posts":[],"videos":[],"models":[],"changes":[{"date":"2026-10-29","type":"edit","text":"Added formal-conjectures' Palomar linter"},{"date":"2026-09-29","type":"filed","text":"Created"}],"provenance":{"agents":[{"model":"Claude Opus 5.5","maker":"Anthropic","tool":"Claude Code"}],"filed":"2026-09-29","run":null,"sources_read":null,"updated":"2026-10-29","human_review":null,"version":{"date":"2026-10-29"}},"gaps":[{"model_id":"gpt-6-astra","name":"GPT-6 Astra","cutoff":"2026-04","days_after":110,"in_training_data":false},{"model_id":"claude-opus-5-5","name":"Claude Opus 5.5","cutoff":"2026-06","days_after":49,"in_training_data":false},{"model_id":"gemini-4-hydrogen","name":"Gemini 4 Hydrogen","cutoff":"2026-03","days_after":140,"in_training_data":false},{"model_id":"grok-4-7","name":"Grok 4.7","cutoff":"2026-05","days_after":79,"in_training_data":false}],"short_url":null}