{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IZTR25SRBZJOQKFRHHCICR6TAJ","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":"979b48bb2fe8f7f9eed5f425470c8a4a37173a10b5c055187d95ee19e2346e6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-30T20:19:40Z","title_canon_sha256":"4003009fddecfb3b2c7b542696d4f1f8cf0fd19fdbb6d3e996ffd3c7f6af157a"},"schema_version":"1.0","source":{"id":"1412.0276","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0276","created_at":"2026-05-18T00:05:34Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0276v3","created_at":"2026-05-18T00:05:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0276","created_at":"2026-05-18T00:05:34Z"},{"alias_kind":"pith_short_12","alias_value":"IZTR25SRBZJO","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IZTR25SRBZJOQKFR","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IZTR25SR","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:2e8a9d7abf669862961cef670cf810e1560bed32d29a51e210892a09fc77f37d","target":"graph","created_at":"2026-05-18T00:05:34Z","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":"In this paper we give a rigorous definition of cylindrical contact homology for contact $3$-manifolds that admit nondegenerate contact forms with no contractible Reeb orbits, and show that the cylindrical contact homology is an invariant of the contact structure.","authors_text":"Erkao Bao, Ko Honda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-30T20:19:40Z","title":"Definition of Cylindrical Contact Homology in dimension three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0276","kind":"arxiv","version":3},"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":"sha256:33fbf8f53c5e0f9c59eccc9b756aaacee593406c20982b9945b0bafa638dd78b","target":"record","created_at":"2026-05-18T00:05:34Z","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":"979b48bb2fe8f7f9eed5f425470c8a4a37173a10b5c055187d95ee19e2346e6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-30T20:19:40Z","title_canon_sha256":"4003009fddecfb3b2c7b542696d4f1f8cf0fd19fdbb6d3e996ffd3c7f6af157a"},"schema_version":"1.0","source":{"id":"1412.0276","kind":"arxiv","version":3}},"canonical_sha256":"46671d76510e52e828b139c48147d302554a0d8f32976512ebf2e827db641730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46671d76510e52e828b139c48147d302554a0d8f32976512ebf2e827db641730","first_computed_at":"2026-05-18T00:05:34.848169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:34.848169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MXtWpMEef2VRM+6j5JFwhRapOifpgTc5lHUV0XLWi/CsYBFgz6DlX08wCA6OUuuVdPYTRyOcGwDCHUEsrOShCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:34.848573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0276","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33fbf8f53c5e0f9c59eccc9b756aaacee593406c20982b9945b0bafa638dd78b","sha256:2e8a9d7abf669862961cef670cf810e1560bed32d29a51e210892a09fc77f37d"],"state_sha256":"88adf2f30860358d5f6378a336478849547f91eca695f0fe3e07b792e3823e24"}