{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:H7VEGHJYCKWP5BENNGU2FVXZPU","short_pith_number":"pith:H7VEGHJY","schema_version":"1.0","canonical_sha256":"3fea431d3812acfe848d69a9a2d6f97d01df23ab8c57912d1e1a10d364acff68","source":{"kind":"arxiv","id":"1006.3725","version":1},"attestation_state":"computed","paper":{"title":"Topological stability for conservative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jorge Rocha, Mario Bessa","submitted_at":"2010-06-18T15:37:48Z","abstract_excerpt":"We prove that the C1-interior of the set of all topologically stable C1-incompressible flows is contained in the set of Anosov incompressible flows. Moreover, we obtain an analogous result for the discrete-time case."},"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":"1006.3725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-06-18T15:37:48Z","cross_cats_sorted":[],"title_canon_sha256":"ec721f982e0e46fcaa4dd15b8605829ff3bd3fed4fb1b0dc1d720ad339766d66","abstract_canon_sha256":"6983416a234a39520789ff1258a975f84bf45a1b3a55e670eb71b4e17cb03250"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:19.234822Z","signature_b64":"cBve1qGIuz9ucc0lGhp0nBH3dyCzygFAHO7ubAIGwi4la0V3NNOFhhWxUvmqAn2ApI3ZFHTgiG3uhpicRGX+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fea431d3812acfe848d69a9a2d6f97d01df23ab8c57912d1e1a10d364acff68","last_reissued_at":"2026-05-18T04:06:19.234092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:19.234092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological stability for conservative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jorge Rocha, Mario Bessa","submitted_at":"2010-06-18T15:37:48Z","abstract_excerpt":"We prove that the C1-interior of the set of all topologically stable C1-incompressible flows is contained in the set of Anosov incompressible flows. Moreover, we obtain an analogous result for the discrete-time case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3725","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":"1006.3725","created_at":"2026-05-18T04:06:19.234200+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3725v1","created_at":"2026-05-18T04:06:19.234200+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3725","created_at":"2026-05-18T04:06:19.234200+00:00"},{"alias_kind":"pith_short_12","alias_value":"H7VEGHJYCKWP","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"H7VEGHJYCKWP5BEN","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"H7VEGHJY","created_at":"2026-05-18T12:26:07.630475+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/H7VEGHJYCKWP5BENNGU2FVXZPU","json":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU.json","graph_json":"https://pith.science/api/pith-number/H7VEGHJYCKWP5BENNGU2FVXZPU/graph.json","events_json":"https://pith.science/api/pith-number/H7VEGHJYCKWP5BENNGU2FVXZPU/events.json","paper":"https://pith.science/paper/H7VEGHJY"},"agent_actions":{"view_html":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU","download_json":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU.json","view_paper":"https://pith.science/paper/H7VEGHJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3725&json=true","fetch_graph":"https://pith.science/api/pith-number/H7VEGHJYCKWP5BENNGU2FVXZPU/graph.json","fetch_events":"https://pith.science/api/pith-number/H7VEGHJYCKWP5BENNGU2FVXZPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU/action/storage_attestation","attest_author":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU/action/author_attestation","sign_citation":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU/action/citation_signature","submit_replication":"https://pith.science/pith/H7VEGHJYCKWP5BENNGU2FVXZPU/action/replication_record"}},"created_at":"2026-05-18T04:06:19.234200+00:00","updated_at":"2026-05-18T04:06:19.234200+00:00"}