{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:24QDCHBNPDKNPUK3L7RMYCLCFJ","short_pith_number":"pith:24QDCHBN","canonical_record":{"source":{"id":"2604.24021","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-04-27T04:10:02Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"ca3dc809568f581b0fed46bd386e4792530e3c0f61b0f7f27e4079fa05b5b1aa","abstract_canon_sha256":"4fbc5bc873ca100008b863c6789cec87f00999eca6825e4553bf734b0601aee9"},"schema_version":"1.0"},"canonical_sha256":"d720311c2d78d4d7d15b5fe2cc09622a64290dd6bc5b94389503e33da07ca4fa","source":{"kind":"arxiv","id":"2604.24021","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.24021","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2604.24021v3","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.24021","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"24QDCHBNPDKN","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"24QDCHBNPDKNPUK3","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"24QDCHBN","created_at":"2026-05-25T02:02:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:24QDCHBNPDKNPUK3L7RMYCLCFJ","target":"record","payload":{"canonical_record":{"source":{"id":"2604.24021","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-04-27T04:10:02Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"ca3dc809568f581b0fed46bd386e4792530e3c0f61b0f7f27e4079fa05b5b1aa","abstract_canon_sha256":"4fbc5bc873ca100008b863c6789cec87f00999eca6825e4553bf734b0601aee9"},"schema_version":"1.0"},"canonical_sha256":"d720311c2d78d4d7d15b5fe2cc09622a64290dd6bc5b94389503e33da07ca4fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:15.733454Z","signature_b64":"42OrGFETP8T0b9GIEGMLiTFDhmjxxmWJhLk3zKLjuHGLiJ8SIf5cYxXEvj8u+5KJB48gytstbuRcMI4G1xfQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d720311c2d78d4d7d15b5fe2cc09622a64290dd6bc5b94389503e33da07ca4fa","last_reissued_at":"2026-05-25T02:02:15.732871Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:15.732871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.24021","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-25T02:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iR7dI5m5OJYnpL6ShSnuaL4M7xq4ja0vvV54K9stG8a5FlLNG9Uxa6CXicSK4qfZ9nu2CtQF1Totgj4lpLTXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:01:53.510616Z"},"content_sha256":"726ebfc92dbfb854d719f6b7744369bf7964b09c8ea780c7b16df19c67b6dadd","schema_version":"1.0","event_id":"sha256:726ebfc92dbfb854d719f6b7744369bf7964b09c8ea780c7b16df19c67b6dadd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:24QDCHBNPDKNPUK3L7RMYCLCFJ","target":"graph","payload":{"graph_snapshot":{"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"},"verdict_id":"4f8b3651-a104-4435-b022-8547d9de04a5"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-25T02:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gjF/fS1Ig78GufRP3Yjmbg8cgFum8xXYI1uyIBHzf9j9e3A4svMv0Lxt1QwgQ3IZkBvAnnpOWSGWnjk+2W8cAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:01:53.511603Z"},"content_sha256":"e0f1a4a16e9916e81c3e86e10342d3f7df5abaa7f2370cf517cf9675ab7fbc0d","schema_version":"1.0","event_id":"sha256:e0f1a4a16e9916e81c3e86e10342d3f7df5abaa7f2370cf517cf9675ab7fbc0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/bundle.json","state_url":"https://pith.science/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T11:01:53Z","links":{"resolver":"https://pith.science/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ","bundle":"https://pith.science/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/bundle.json","state":"https://pith.science/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/24QDCHBNPDKNPUK3L7RMYCLCFJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:24QDCHBNPDKNPUK3L7RMYCLCFJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4fbc5bc873ca100008b863c6789cec87f00999eca6825e4553bf734b0601aee9","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-04-27T04:10:02Z","title_canon_sha256":"ca3dc809568f581b0fed46bd386e4792530e3c0f61b0f7f27e4079fa05b5b1aa"},"schema_version":"1.0","source":{"id":"2604.24021","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.24021","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2604.24021v3","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.24021","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"24QDCHBNPDKN","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"24QDCHBNPDKNPUK3","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"24QDCHBN","created_at":"2026-05-25T02:02:15Z"}],"graph_snapshots":[{"event_id":"sha256:e0f1a4a16e9916e81c3e86e10342d3f7df5abaa7f2370cf517cf9675ab7fbc0d","target":"graph","created_at":"2026-05-25T02:02:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"QED produces correct proofs for three problems, each verified by the contributing experts as original and nontrivial."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","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."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","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."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A multi-agent AI system generates original and correct proofs for three open mathematical problems."}],"snapshot_sha256":"e56a92874dd0b3608652d5246d8ed67413d126d856af3ece9118ba78f08f7926"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"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"}],"endpoint":"/pith/2604.24021/integrity.json","findings":[],"snapshot_sha256":"9de23ad3133384e3e60526fd573c72f060a86660f378515aef7abb7543842bb6","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Chenyang An, Jiayaun Zhang, Minghao Pan, Qihao Ye","cross_cats":["math.AP"],"headline":"A multi-agent AI system generates original and correct proofs for three open mathematical problems.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-04-27T04:10:02Z","title":"QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.24021","kind":"arxiv","version":3},"verdict":{"created_at":"2026-05-08T03:53:39.140865Z","id":"4f8b3651-a104-4435-b022-8547d9de04a5","model_set":{"reader":"grok-4.3"},"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","pith_extraction_headline":"A multi-agent AI system generates original and correct proofs for three open mathematical problems.","strongest_claim":"QED produces correct proofs for three problems, each verified by the contributing experts as original and nontrivial.","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."}},"verdict_id":"4f8b3651-a104-4435-b022-8547d9de04a5"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:726ebfc92dbfb854d719f6b7744369bf7964b09c8ea780c7b16df19c67b6dadd","target":"record","created_at":"2026-05-25T02:02:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4fbc5bc873ca100008b863c6789cec87f00999eca6825e4553bf734b0601aee9","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-04-27T04:10:02Z","title_canon_sha256":"ca3dc809568f581b0fed46bd386e4792530e3c0f61b0f7f27e4079fa05b5b1aa"},"schema_version":"1.0","source":{"id":"2604.24021","kind":"arxiv","version":3}},"canonical_sha256":"d720311c2d78d4d7d15b5fe2cc09622a64290dd6bc5b94389503e33da07ca4fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d720311c2d78d4d7d15b5fe2cc09622a64290dd6bc5b94389503e33da07ca4fa","first_computed_at":"2026-05-25T02:02:15.732871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:15.732871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42OrGFETP8T0b9GIEGMLiTFDhmjxxmWJhLk3zKLjuHGLiJ8SIf5cYxXEvj8u+5KJB48gytstbuRcMI4G1xfQAw==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:15.733454Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.24021","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:726ebfc92dbfb854d719f6b7744369bf7964b09c8ea780c7b16df19c67b6dadd","sha256:e0f1a4a16e9916e81c3e86e10342d3f7df5abaa7f2370cf517cf9675ab7fbc0d"],"state_sha256":"62a4381623552cdf6abf88c7eb13289245383b736229f859302e2f15ad2ab109"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6eOFCMFLvuq2tH/EIlBpXU6ekW7nduPy+Dot4vWRvMUD9ztyuKoIpRqn49uzCLCt2vzb58FUNk5EKCoORGJ5Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T11:01:53.516991Z","bundle_sha256":"cc156f934f2222a815946a0812497bd27625028d5cf075dbb98adf922571214e"}}