{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XO3E655UJ2S3PNFAYMLLT4RZUB","short_pith_number":"pith:XO3E655U","canonical_record":{"source":{"id":"1602.07455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2016-02-24T10:19:15Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"d29f5b4457ca4ec740626afc068a4cac899f61752a9826e36befae21e3480ef1","abstract_canon_sha256":"c2667612a933e1ca99f1597207aa8bd350e78c421528125c2749675fbd33e666"},"schema_version":"1.0"},"canonical_sha256":"bbb64f77b44ea5b7b4a0c316b9f239a067da7a8f418a121e5aafc0d4387d59a5","source":{"kind":"arxiv","id":"1602.07455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07455","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07455v2","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07455","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"pith_short_12","alias_value":"XO3E655UJ2S3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XO3E655UJ2S3PNFA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XO3E655U","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XO3E655UJ2S3PNFAYMLLT4RZUB","target":"record","payload":{"canonical_record":{"source":{"id":"1602.07455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2016-02-24T10:19:15Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"d29f5b4457ca4ec740626afc068a4cac899f61752a9826e36befae21e3480ef1","abstract_canon_sha256":"c2667612a933e1ca99f1597207aa8bd350e78c421528125c2749675fbd33e666"},"schema_version":"1.0"},"canonical_sha256":"bbb64f77b44ea5b7b4a0c316b9f239a067da7a8f418a121e5aafc0d4387d59a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:04.796381Z","signature_b64":"ZjEQbi6oRoBbIx4YKCXfp33rwwXkr7RN96L/gj1gfqQe9ygfzI/XSEgEOwLfBK6lqEJhmp+h790P3fnHKJW/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbb64f77b44ea5b7b4a0c316b9f239a067da7a8f418a121e5aafc0d4387d59a5","last_reissued_at":"2026-05-18T01:17:04.795694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:04.795694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.07455","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ohvsTjEQtitIM9/RhO7xFzEFzj5/MffF0r7zlZxEDkH8g1Z8Y3QyijenWogGs6lcxXzZIsWe00/a0Eb/Dn6ZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:09:12.039817Z"},"content_sha256":"5d6af7f6034ec0479e4decb0042942d73d6c80f5290ec5fe7418c2aaeeaa478d","schema_version":"1.0","event_id":"sha256:5d6af7f6034ec0479e4decb0042942d73d6c80f5290ec5fe7418c2aaeeaa478d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XO3E655UJ2S3PNFAYMLLT4RZUB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automatically Proving Mathematical Theorems with Evolutionary Algorithms and Proof Assistants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.NE","authors_text":"Chao-Hong Chen, Jui-Pin Liu, Li-An Yang, Ying-ping Chen","submitted_at":"2016-02-24T10:19:15Z","abstract_excerpt":"Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof assistants, software capable of interacting with human for constructing formal proofs, have been developed in the past several decades. Since proofs can be considered and expressed as programs, proof assistants simplify and verify a proof by computationally evaluating the program corresponding to the proof. Thanks to the transformation from logic to computat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07455","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9sBqXHgehZ4P3Kz5V789LBlb+hYxVEqTrbvAGVEy36gOANJAMSHKO5kSk3YONldBEm6FHH+H3v5OZyRpjQZvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:09:12.040159Z"},"content_sha256":"b217a6e199dc0413dfc5f5dcdbaea04339f922eec0b7833e73350e4d1bc96813","schema_version":"1.0","event_id":"sha256:b217a6e199dc0413dfc5f5dcdbaea04339f922eec0b7833e73350e4d1bc96813"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/bundle.json","state_url":"https://pith.science/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/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":"2026-06-23T09:09:12Z","links":{"resolver":"https://pith.science/pith/XO3E655UJ2S3PNFAYMLLT4RZUB","bundle":"https://pith.science/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/bundle.json","state":"https://pith.science/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XO3E655UJ2S3PNFAYMLLT4RZUB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XO3E655UJ2S3PNFAYMLLT4RZUB","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":"c2667612a933e1ca99f1597207aa8bd350e78c421528125c2749675fbd33e666","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2016-02-24T10:19:15Z","title_canon_sha256":"d29f5b4457ca4ec740626afc068a4cac899f61752a9826e36befae21e3480ef1"},"schema_version":"1.0","source":{"id":"1602.07455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07455","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07455v2","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07455","created_at":"2026-05-18T01:17:04Z"},{"alias_kind":"pith_short_12","alias_value":"XO3E655UJ2S3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XO3E655UJ2S3PNFA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XO3E655U","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:b217a6e199dc0413dfc5f5dcdbaea04339f922eec0b7833e73350e4d1bc96813","target":"graph","created_at":"2026-05-18T01:17:04Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof assistants, software capable of interacting with human for constructing formal proofs, have been developed in the past several decades. Since proofs can be considered and expressed as programs, proof assistants simplify and verify a proof by computationally evaluating the program corresponding to the proof. Thanks to the transformation from logic to computat","authors_text":"Chao-Hong Chen, Jui-Pin Liu, Li-An Yang, Ying-ping Chen","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2016-02-24T10:19:15Z","title":"Automatically Proving Mathematical Theorems with Evolutionary Algorithms and Proof Assistants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07455","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5d6af7f6034ec0479e4decb0042942d73d6c80f5290ec5fe7418c2aaeeaa478d","target":"record","created_at":"2026-05-18T01:17:04Z","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":"c2667612a933e1ca99f1597207aa8bd350e78c421528125c2749675fbd33e666","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2016-02-24T10:19:15Z","title_canon_sha256":"d29f5b4457ca4ec740626afc068a4cac899f61752a9826e36befae21e3480ef1"},"schema_version":"1.0","source":{"id":"1602.07455","kind":"arxiv","version":2}},"canonical_sha256":"bbb64f77b44ea5b7b4a0c316b9f239a067da7a8f418a121e5aafc0d4387d59a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbb64f77b44ea5b7b4a0c316b9f239a067da7a8f418a121e5aafc0d4387d59a5","first_computed_at":"2026-05-18T01:17:04.795694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:04.795694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZjEQbi6oRoBbIx4YKCXfp33rwwXkr7RN96L/gj1gfqQe9ygfzI/XSEgEOwLfBK6lqEJhmp+h790P3fnHKJW/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:04.796381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d6af7f6034ec0479e4decb0042942d73d6c80f5290ec5fe7418c2aaeeaa478d","sha256:b217a6e199dc0413dfc5f5dcdbaea04339f922eec0b7833e73350e4d1bc96813"],"state_sha256":"40c5128f8242fe2741a0210a4c4d1a60c4f2a6006c9b42937f2d2dad33e1cab7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lv4nnpMN2JnV2XpVUTWGIEwHP70M+BfSHw/zq5sPxzH5fqQfcHYTg96fNQx+6Vv4lZa0USriyAKp0hh7awExDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T09:09:12.042114Z","bundle_sha256":"8fe140b2afa520daf543651b62e9b854d621d1b9c4aef99595608cba4c8e8d2f"}}