{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:R4BN5FVD4YADVLAZ6P5V7LN4ZM","short_pith_number":"pith:R4BN5FVD","schema_version":"1.0","canonical_sha256":"8f02de96a3e6003aac19f3fb5fadbccb2fc3966848f8c37a5ec8fb6ff8ff274a","source":{"kind":"arxiv","id":"math/0504208","version":4},"attestation_state":"computed","paper":{"title":"Regular projectively Anosov flows on three-dimensional manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Masayuki Asaoka","submitted_at":"2005-04-11T05:20:18Z","abstract_excerpt":"We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of $T^2 \\times I$-models. We also apply our method to rigidity problems of some group actions."},"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/0504208","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2005-04-11T05:20:18Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"0302544654e00911a94d7a6c19c161c213f60b703895312e03e202e82d4f9ad3","abstract_canon_sha256":"183d12b57ee69a7297c9c35d6b3a35fc908d01029f7f5041140aa5f5af5330e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:46.157550Z","signature_b64":"kkN5EJZS7XmmJ0Hf5uRm91JAyLVvTlBoABmHJH5q77shxEqR1cqkJbKm/w0Ceq2jI7DDMK5Gb6M6U8RnIH6WDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f02de96a3e6003aac19f3fb5fadbccb2fc3966848f8c37a5ec8fb6ff8ff274a","last_reissued_at":"2026-05-18T04:13:46.156990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:46.156990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regular projectively Anosov flows on three-dimensional manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Masayuki Asaoka","submitted_at":"2005-04-11T05:20:18Z","abstract_excerpt":"We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of $T^2 \\times I$-models. We also apply our method to rigidity problems of some group actions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504208","kind":"arxiv","version":4},"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/0504208","created_at":"2026-05-18T04:13:46.157068+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0504208v4","created_at":"2026-05-18T04:13:46.157068+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504208","created_at":"2026-05-18T04:13:46.157068+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4BN5FVD4YAD","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4BN5FVD4YADVLAZ","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4BN5FVD","created_at":"2026-05-18T12:25:53.335082+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/R4BN5FVD4YADVLAZ6P5V7LN4ZM","json":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM.json","graph_json":"https://pith.science/api/pith-number/R4BN5FVD4YADVLAZ6P5V7LN4ZM/graph.json","events_json":"https://pith.science/api/pith-number/R4BN5FVD4YADVLAZ6P5V7LN4ZM/events.json","paper":"https://pith.science/paper/R4BN5FVD"},"agent_actions":{"view_html":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM","download_json":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM.json","view_paper":"https://pith.science/paper/R4BN5FVD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0504208&json=true","fetch_graph":"https://pith.science/api/pith-number/R4BN5FVD4YADVLAZ6P5V7LN4ZM/graph.json","fetch_events":"https://pith.science/api/pith-number/R4BN5FVD4YADVLAZ6P5V7LN4ZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM/action/storage_attestation","attest_author":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM/action/author_attestation","sign_citation":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM/action/citation_signature","submit_replication":"https://pith.science/pith/R4BN5FVD4YADVLAZ6P5V7LN4ZM/action/replication_record"}},"created_at":"2026-05-18T04:13:46.157068+00:00","updated_at":"2026-05-18T04:13:46.157068+00:00"}