{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YUDQYA6F6CSXKGGPSMGFVP5C7C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"34f5338d5e8d5376e6ce62d9e65bfd228e4abe30c90a85c76e0e04a369f3be26","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-06-02T13:36:02Z","title_canon_sha256":"fc9875aa69f9e60a62eec27efdd16b38c1c988c933eb9bac16e70048dfe8a2bc"},"schema_version":"1.0","source":{"id":"1006.0372","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0372","created_at":"2026-05-18T03:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0372v2","created_at":"2026-05-18T03:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0372","created_at":"2026-05-18T03:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"YUDQYA6F6CSX","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YUDQYA6F6CSXKGGP","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YUDQYA6F","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:df06aa12f650a4fab7163d15b78b9b471d334aa606a678f7abd4bbd2512d6393","target":"graph","created_at":"2026-05-18T03:54:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove the Conley conjecture for cotangent bundles of oriented, closed manifolds, and Hamiltonians which are quadratic at infinity, i.e., we show that such Hamiltonians have infinitely many periodic orbits. For the conservative systems, similar results have been proved by Lu and Mazzucchelli using convex Hamiltonians and Lagrangian methods. Our proof uses Floer homological methods from Ginzburg's proof of the Conley Conjecture for closed symplectically aspherical manifolds.","authors_text":"Doris Hein","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-06-02T13:36:02Z","title":"The Conley conjecture for the cotangent bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0372","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8f871b22ac732a855f736809a02ef67072d03edb79ac784797c323598e36d8b6","target":"record","created_at":"2026-05-18T03:54:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"34f5338d5e8d5376e6ce62d9e65bfd228e4abe30c90a85c76e0e04a369f3be26","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-06-02T13:36:02Z","title_canon_sha256":"fc9875aa69f9e60a62eec27efdd16b38c1c988c933eb9bac16e70048dfe8a2bc"},"schema_version":"1.0","source":{"id":"1006.0372","kind":"arxiv","version":2}},"canonical_sha256":"c5070c03c5f0a57518cf930c5abfa2f8a780bf0019c90aca251972b4cb757423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5070c03c5f0a57518cf930c5abfa2f8a780bf0019c90aca251972b4cb757423","first_computed_at":"2026-05-18T03:54:48.093150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:48.093150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WqqUSfwvcdVCHulSW62DJgeHEGGQhMm1lCbtOZeP14kZNtkqlmGFQk5N5UlyKtDv8ws4bmyqowNC1Me5TYtKDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:48.093647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0372","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f871b22ac732a855f736809a02ef67072d03edb79ac784797c323598e36d8b6","sha256:df06aa12f650a4fab7163d15b78b9b471d334aa606a678f7abd4bbd2512d6393"],"state_sha256":"9988dff5ad74b1ef2eb1a3a20eec806b1a44c1362c62615d4ea6dd2dbc10d473"}