{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:NDZWPH7RX6P3FHLSRL2NPHAEYA","short_pith_number":"pith:NDZWPH7R","schema_version":"1.0","canonical_sha256":"68f3679ff1bf9fb29d728af4d79c04c0323ee2b92ffae7774c84a3754ab74ef0","source":{"kind":"arxiv","id":"math/0305372","version":2},"attestation_state":"computed","paper":{"title":"Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Masayuki Asaoka","submitted_at":"2003-05-27T02:18:25Z","abstract_excerpt":"We give complete classification of C^2-regular and non-degenerate projectively Anosov flows on three dimensional manifolds. More precisely, we prove that such a flow on a connected manifold must be either an Anosov flow or represented as a finite union of $T^2 \\times [0,1]$-models."},"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":"math/0305372","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DS","submitted_at":"2003-05-27T02:18:25Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"13c00a7c1c261d686ae83f6e975d722780eb9053a972d68102edcab2cf6bd133","abstract_canon_sha256":"95eec3b80e1766a7a1ae445eee30e0bd392b0eac75878c6ac9fe939f4a0337c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:46.164360Z","signature_b64":"AYfUt4Qy0dxd3l+qkZ4C6qUMX5me6h7YCQQdqU5iC559H+A3ejVlbP8kIQAaOA4xXbb8INZMsbN4QtKFUHqcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68f3679ff1bf9fb29d728af4d79c04c0323ee2b92ffae7774c84a3754ab74ef0","last_reissued_at":"2026-05-18T04:13:46.163797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:46.163797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Masayuki Asaoka","submitted_at":"2003-05-27T02:18:25Z","abstract_excerpt":"We give complete classification of C^2-regular and non-degenerate projectively Anosov flows on three dimensional manifolds. More precisely, we prove that such a flow on a connected manifold must be either an Anosov flow or represented as a finite union of $T^2 \\times [0,1]$-models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0305372","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0305372","created_at":"2026-05-18T04:13:46.163882+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0305372v2","created_at":"2026-05-18T04:13:46.163882+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0305372","created_at":"2026-05-18T04:13:46.163882+00:00"},{"alias_kind":"pith_short_12","alias_value":"NDZWPH7RX6P3","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"NDZWPH7RX6P3FHLS","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"NDZWPH7R","created_at":"2026-05-18T12:25:52.051335+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/NDZWPH7RX6P3FHLSRL2NPHAEYA","json":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA.json","graph_json":"https://pith.science/api/pith-number/NDZWPH7RX6P3FHLSRL2NPHAEYA/graph.json","events_json":"https://pith.science/api/pith-number/NDZWPH7RX6P3FHLSRL2NPHAEYA/events.json","paper":"https://pith.science/paper/NDZWPH7R"},"agent_actions":{"view_html":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA","download_json":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA.json","view_paper":"https://pith.science/paper/NDZWPH7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0305372&json=true","fetch_graph":"https://pith.science/api/pith-number/NDZWPH7RX6P3FHLSRL2NPHAEYA/graph.json","fetch_events":"https://pith.science/api/pith-number/NDZWPH7RX6P3FHLSRL2NPHAEYA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA/action/storage_attestation","attest_author":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA/action/author_attestation","sign_citation":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA/action/citation_signature","submit_replication":"https://pith.science/pith/NDZWPH7RX6P3FHLSRL2NPHAEYA/action/replication_record"}},"created_at":"2026-05-18T04:13:46.163882+00:00","updated_at":"2026-05-18T04:13:46.163882+00:00"}