{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:B7IPF25PDD5COORSEKSSTBD6BV","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":"54f9161b1e42e17cad9416ce2deadb2d3c5a879a9cf80cad45662314f3c227f5","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2022-06-09T19:19:03Z","title_canon_sha256":"2bafe6527784c7107a8a1a0fb4df6adf68cd588a79a5270138887cb1edb47482"},"schema_version":"1.0","source":{"id":"2206.04738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.04738","created_at":"2026-07-05T05:13:34Z"},{"alias_kind":"arxiv_version","alias_value":"2206.04738v2","created_at":"2026-07-05T05:13:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.04738","created_at":"2026-07-05T05:13:34Z"},{"alias_kind":"pith_short_12","alias_value":"B7IPF25PDD5C","created_at":"2026-07-05T05:13:34Z"},{"alias_kind":"pith_short_16","alias_value":"B7IPF25PDD5COORS","created_at":"2026-07-05T05:13:34Z"},{"alias_kind":"pith_short_8","alias_value":"B7IPF25P","created_at":"2026-07-05T05:13:34Z"}],"graph_snapshots":[{"event_id":"sha256:aa58959df5fdb2e69d9d92844142a15a939de8243a23fc465039b36746ba5542","target":"graph","created_at":"2026-07-05T05:13:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.04738/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the strong closing lemma holds for Reeb flows on ellipsoids. Our methods also apply to other Reeb flows, and we illustrate this for a class of examples introduced by Albers-Geiges-Zehmisch.","authors_text":"Ipsita Datta, Julian Chaidez, Rohil Prasad, Shira Tanny","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2022-06-09T19:19:03Z","title":"Contact homology and higher dimensional closing lemmas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.04738","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":"sha256:93cae10dffbfab16cc82d3c28c00924f62a4b136eb991496afae1a9ed6357f69","target":"record","created_at":"2026-07-05T05:13:34Z","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":"54f9161b1e42e17cad9416ce2deadb2d3c5a879a9cf80cad45662314f3c227f5","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2022-06-09T19:19:03Z","title_canon_sha256":"2bafe6527784c7107a8a1a0fb4df6adf68cd588a79a5270138887cb1edb47482"},"schema_version":"1.0","source":{"id":"2206.04738","kind":"arxiv","version":2}},"canonical_sha256":"0fd0f2ebaf18fa273a3222a529847e0d7b8988f5db042589ac54cd6f4fe3ad6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fd0f2ebaf18fa273a3222a529847e0d7b8988f5db042589ac54cd6f4fe3ad6a","first_computed_at":"2026-07-05T05:13:34.682554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:13:34.682554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsUP8H19vG7/DWUkjdMISY+H79M7hjBlNDcbjc8+RSEE7ZCAh7j2lfQ2GqCW7t2iliDftP1AGSyaAO/iWFUaAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:13:34.683070Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.04738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93cae10dffbfab16cc82d3c28c00924f62a4b136eb991496afae1a9ed6357f69","sha256:aa58959df5fdb2e69d9d92844142a15a939de8243a23fc465039b36746ba5542"],"state_sha256":"112a089d7967de3f5268b98873599e3c080b54b3c1df949595ecd60df82c5cea"}