{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PP7CXQBEBPBW4QZDGNMDDKGHWL","short_pith_number":"pith:PP7CXQBE","schema_version":"1.0","canonical_sha256":"7bfe2bc0240bc36e4323335831a8c7b2c830dd923c97ecf909ee2ce0b0094c6d","source":{"kind":"arxiv","id":"1209.4155","version":1},"attestation_state":"computed","paper":{"title":"Invariants of Four-Manifolds with Flows Via Cohomological Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alberto Verjovsky, Hugo Garcia-Compean, Roberto Santos-Silva","submitted_at":"2012-09-19T06:04:32Z","abstract_excerpt":"The Jones-Witten invariants can be generalized for non-singular smooth vector fields with invariant probability measure on 3-manifolds, giving rise to new invariants of dynamical systems [22]. After a short survey of cohomological field theory for Yang-Mills fields, Donaldson-Witten invariants are generalized to four-dimensional manifolds with non-singular smooth flows generated by homologically non-trivial p-vector fields. These invariants have the information of the flows and they are interpreted as the intersection number of these flow orbits and constitute invariants of smooth four-manifol"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1209.4155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-19T06:04:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f4668493de802ba33ccbd040b7791607e733db67d4873c45a829066d9f27e295","abstract_canon_sha256":"294a887ce305ee848c092ce4ea564a476f5d4405918493b69113af37f761cc76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:13.286182Z","signature_b64":"Dc7i6xU1Op7D9Vtpikgc5EvkCijMWTTM4HiINVQeWWhuAfhIYEN9XsxKHZlPmBzOL6M5N8qC4pqjkdpwBATbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bfe2bc0240bc36e4323335831a8c7b2c830dd923c97ecf909ee2ce0b0094c6d","last_reissued_at":"2026-05-18T03:45:13.285385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:13.285385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariants of Four-Manifolds with Flows Via Cohomological Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alberto Verjovsky, Hugo Garcia-Compean, Roberto Santos-Silva","submitted_at":"2012-09-19T06:04:32Z","abstract_excerpt":"The Jones-Witten invariants can be generalized for non-singular smooth vector fields with invariant probability measure on 3-manifolds, giving rise to new invariants of dynamical systems [22]. After a short survey of cohomological field theory for Yang-Mills fields, Donaldson-Witten invariants are generalized to four-dimensional manifolds with non-singular smooth flows generated by homologically non-trivial p-vector fields. These invariants have the information of the flows and they are interpreted as the intersection number of these flow orbits and constitute invariants of smooth four-manifol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4155","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1209.4155","created_at":"2026-05-18T03:45:13.285527+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.4155v1","created_at":"2026-05-18T03:45:13.285527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4155","created_at":"2026-05-18T03:45:13.285527+00:00"},{"alias_kind":"pith_short_12","alias_value":"PP7CXQBEBPBW","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PP7CXQBEBPBW4QZD","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PP7CXQBE","created_at":"2026-05-18T12:27:18.751474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL","json":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL.json","graph_json":"https://pith.science/api/pith-number/PP7CXQBEBPBW4QZDGNMDDKGHWL/graph.json","events_json":"https://pith.science/api/pith-number/PP7CXQBEBPBW4QZDGNMDDKGHWL/events.json","paper":"https://pith.science/paper/PP7CXQBE"},"agent_actions":{"view_html":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL","download_json":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL.json","view_paper":"https://pith.science/paper/PP7CXQBE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.4155&json=true","fetch_graph":"https://pith.science/api/pith-number/PP7CXQBEBPBW4QZDGNMDDKGHWL/graph.json","fetch_events":"https://pith.science/api/pith-number/PP7CXQBEBPBW4QZDGNMDDKGHWL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL/action/storage_attestation","attest_author":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL/action/author_attestation","sign_citation":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL/action/citation_signature","submit_replication":"https://pith.science/pith/PP7CXQBEBPBW4QZDGNMDDKGHWL/action/replication_record"}},"created_at":"2026-05-18T03:45:13.285527+00:00","updated_at":"2026-05-18T03:45:13.285527+00:00"}