{"paper":{"title":"QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A multi-agent AI system generates original and correct proofs for three open mathematical problems.","cross_cats":["math.AP"],"primary_cat":"cs.AI","authors_text":"Chenyang An, Jiayaun Zhang, Minghao Pan, Qihao Ye","submitted_at":"2026-04-27T04:10:02Z","abstract_excerpt":"We present \\textbf{QED}, an open-source multi-agent system that turns human-provided research questions into complete mathematical proofs without further human guidance. Its pipeline is designed to overcome common failures of single-query proof generation by separating planning, proving, and verification: a decomposition agent structures the proof search, prover agents generate candidate arguments, and verifier agents check correctness. In collaboration with domain experts, we evaluated QED on 18 research-level projects of varying difficulty. QED produced five original works across algebraic g"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"QED produces correct proofs for three problems, each verified by the contributing experts as original and nontrivial.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The expert verification process reliably confirms that the generated proofs are both correct and genuinely original rather than containing subtle errors or relying on prior unpublished work.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"QED is a multi-agent system that produces correct, original proofs for three out of five open problems in applied analysis and PDEs, as confirmed by domain experts.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A multi-agent AI system generates original and correct proofs for three open mathematical problems.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"e56a92874dd0b3608652d5246d8ed67413d126d856af3ece9118ba78f08f7926"},"source":{"id":"2604.24021","kind":"arxiv","version":3},"verdict":{"id":"4f8b3651-a104-4435-b022-8547d9de04a5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T03:53:39.140865Z","strongest_claim":"QED produces correct proofs for three problems, each verified by the contributing experts as original and nontrivial.","one_line_summary":"QED is a multi-agent system that produces correct, original proofs for three out of five open problems in applied analysis and PDEs, as confirmed by domain experts.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The expert verification process reliably confirms that the generated proofs are both correct and genuinely original rather than containing subtle errors or relying on prior unpublished work.","pith_extraction_headline":"A multi-agent AI system generates original and correct proofs for three open mathematical problems."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.24021/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T07:39:57.582904Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:32:09.481123Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"9de23ad3133384e3e60526fd573c72f060a86660f378515aef7abb7543842bb6"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}