{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JD3KB2L53P24L3MXMCD5GT6D2B","short_pith_number":"pith:JD3KB2L5","schema_version":"1.0","canonical_sha256":"48f6a0e97ddbf5c5ed976087d34fc3d0459be32c4da26dd6924357257871842c","source":{"kind":"arxiv","id":"1110.3720","version":1},"attestation_state":"computed","paper":{"title":"A dichotomy for higher dimensional flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A. Arbieto, C. A. Morales","submitted_at":"2011-10-17T16:24:10Z","abstract_excerpt":"We analyze the dichotomy between {\\em sectional-Axiom A flows} (c.f. \\cite{memo}) and flows with points accumulated by periodic orbits of different indices. Indeed, this is proved for $C^1$ generic flows whose singularities accumulated by periodic orbits have codimension one. Our result improves \\cite{mp1}."},"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":"1110.3720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-10-17T16:24:10Z","cross_cats_sorted":[],"title_canon_sha256":"1742a1be8ae97726d210f8d102c30e0f5187cc6ada549eea7b22caff76f77d3a","abstract_canon_sha256":"c9b47ee5699201de0b2f5c23f7f1edfef2069db81bcf6848854acf6c2ecc6960"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:48.634025Z","signature_b64":"8ufCnSt8EACRtXLbAZO2hvP+6w69GkRJ5iMT6yUHcoh4wHKaNpWZ+OtopG1HF+U8OwgkeWamBVQem3DJcgl3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f6a0e97ddbf5c5ed976087d34fc3d0459be32c4da26dd6924357257871842c","last_reissued_at":"2026-05-18T04:10:48.633585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:48.633585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A dichotomy for higher dimensional flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A. Arbieto, C. A. Morales","submitted_at":"2011-10-17T16:24:10Z","abstract_excerpt":"We analyze the dichotomy between {\\em sectional-Axiom A flows} (c.f. \\cite{memo}) and flows with points accumulated by periodic orbits of different indices. Indeed, this is proved for $C^1$ generic flows whose singularities accumulated by periodic orbits have codimension one. Our result improves \\cite{mp1}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3720","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":"1110.3720","created_at":"2026-05-18T04:10:48.633654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.3720v1","created_at":"2026-05-18T04:10:48.633654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3720","created_at":"2026-05-18T04:10:48.633654+00:00"},{"alias_kind":"pith_short_12","alias_value":"JD3KB2L53P24","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JD3KB2L53P24L3MX","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JD3KB2L5","created_at":"2026-05-18T12:26:32.869790+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/JD3KB2L53P24L3MXMCD5GT6D2B","json":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B.json","graph_json":"https://pith.science/api/pith-number/JD3KB2L53P24L3MXMCD5GT6D2B/graph.json","events_json":"https://pith.science/api/pith-number/JD3KB2L53P24L3MXMCD5GT6D2B/events.json","paper":"https://pith.science/paper/JD3KB2L5"},"agent_actions":{"view_html":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B","download_json":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B.json","view_paper":"https://pith.science/paper/JD3KB2L5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.3720&json=true","fetch_graph":"https://pith.science/api/pith-number/JD3KB2L53P24L3MXMCD5GT6D2B/graph.json","fetch_events":"https://pith.science/api/pith-number/JD3KB2L53P24L3MXMCD5GT6D2B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B/action/storage_attestation","attest_author":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B/action/author_attestation","sign_citation":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B/action/citation_signature","submit_replication":"https://pith.science/pith/JD3KB2L53P24L3MXMCD5GT6D2B/action/replication_record"}},"created_at":"2026-05-18T04:10:48.633654+00:00","updated_at":"2026-05-18T04:10:48.633654+00:00"}