{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5NVVJRPKVGLYXJ6U4VELSX52QU","short_pith_number":"pith:5NVVJRPK","schema_version":"1.0","canonical_sha256":"eb6b54c5eaa9978ba7d4e548b95fba8530eb7078f2706d32b8f51514b563d547","source":{"kind":"arxiv","id":"1901.05565","version":3},"attestation_state":"computed","paper":{"title":"Conley's index and connection matrices for non-experts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Phillipo Lappicy","submitted_at":"2019-01-17T00:00:03Z","abstract_excerpt":"This is a self-contained tour of the Conley index and connection matrices. The starting point is Conley's fundamental theorem of dynamical systems. There is a short stop at the necessary topological background, before we proceed to the basic properties of the index. Then, the itinerary passes through the construction of connection matrices with a panoramic view of the applications: detect heteroclinic orbits arising in delay differential equations, and partial differential equations of parabolic type. The ride will be filled with examples and figures."},"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":"1901.05565","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-01-17T00:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"ad45fdd8e213693ebe30c2bbcd706bfd5848ec7af07fe1273414111014f2862b","abstract_canon_sha256":"2acf0313ab025412be0d7e256f9576d2026cbb3d39dd3cdb07b2f266590a199f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:55.707515Z","signature_b64":"7zBKG5D8AvuaoZM48vzRWMlex+Q9qkD28TMYB8ex6yByfyWJgrrxAi4OYDg2Z7FKhN58jcM3tljxgp23Ob9kCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb6b54c5eaa9978ba7d4e548b95fba8530eb7078f2706d32b8f51514b563d547","last_reissued_at":"2026-05-17T23:51:55.707053Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:55.707053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conley's index and connection matrices for non-experts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Phillipo Lappicy","submitted_at":"2019-01-17T00:00:03Z","abstract_excerpt":"This is a self-contained tour of the Conley index and connection matrices. The starting point is Conley's fundamental theorem of dynamical systems. There is a short stop at the necessary topological background, before we proceed to the basic properties of the index. Then, the itinerary passes through the construction of connection matrices with a panoramic view of the applications: detect heteroclinic orbits arising in delay differential equations, and partial differential equations of parabolic type. The ride will be filled with examples and figures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05565","kind":"arxiv","version":3},"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":"1901.05565","created_at":"2026-05-17T23:51:55.707128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.05565v3","created_at":"2026-05-17T23:51:55.707128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05565","created_at":"2026-05-17T23:51:55.707128+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NVVJRPKVGLY","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NVVJRPKVGLYXJ6U","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NVVJRPK","created_at":"2026-05-18T12:33:10.108867+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/5NVVJRPKVGLYXJ6U4VELSX52QU","json":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU.json","graph_json":"https://pith.science/api/pith-number/5NVVJRPKVGLYXJ6U4VELSX52QU/graph.json","events_json":"https://pith.science/api/pith-number/5NVVJRPKVGLYXJ6U4VELSX52QU/events.json","paper":"https://pith.science/paper/5NVVJRPK"},"agent_actions":{"view_html":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU","download_json":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU.json","view_paper":"https://pith.science/paper/5NVVJRPK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.05565&json=true","fetch_graph":"https://pith.science/api/pith-number/5NVVJRPKVGLYXJ6U4VELSX52QU/graph.json","fetch_events":"https://pith.science/api/pith-number/5NVVJRPKVGLYXJ6U4VELSX52QU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU/action/storage_attestation","attest_author":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU/action/author_attestation","sign_citation":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU/action/citation_signature","submit_replication":"https://pith.science/pith/5NVVJRPKVGLYXJ6U4VELSX52QU/action/replication_record"}},"created_at":"2026-05-17T23:51:55.707128+00:00","updated_at":"2026-05-17T23:51:55.707128+00:00"}