{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:LEB7ELQ3ILEKWHZHZESWKW6BAG","short_pith_number":"pith:LEB7ELQ3","schema_version":"1.0","canonical_sha256":"5903f22e1b42c8ab1f27c925655bc101b35645bbc7859f6f05146bde42e85429","source":{"kind":"arxiv","id":"math/0410059","version":2},"attestation_state":"computed","paper":{"title":"The periodic Floer homology of a Dehn twist","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Michael Hutchings, Michael Sullivan","submitted_at":"2004-10-04T18:55:31Z","abstract_excerpt":"The periodic Floer homology of a surface symplectomorphism, defined by the first author and M. Thaddeus, is the homology of a chain complex which is generated by certain unions of periodic orbits, and whose differential counts certain embedded pseudoholomorphic curves in R cross the mapping torus. It is conjectured to recover the Seiberg-Witten Floer homology of the mapping torus for most spin-c structures, and is related to a variant of contact homology. In this paper we compute the periodic Floer homology of some Dehn twists."},"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":"math/0410059","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.SG","submitted_at":"2004-10-04T18:55:31Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"281b5138fea53a18dc248e702bd33fcb7bc9f3d8ab2a3148ec8ac49c3b1fa443","abstract_canon_sha256":"96d134d15672b7336a5094daefb8610ad9f78a80b15b648925be9563a4b7ee30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:32.284979Z","signature_b64":"P9i2H542x653vZyNEVPOUjHHTi7Q/GATLhefv7nJfpaoAkSZ07D6hseLcPZSEw1tlaHU0+E4gtmbdbb8zRGwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5903f22e1b42c8ab1f27c925655bc101b35645bbc7859f6f05146bde42e85429","last_reissued_at":"2026-05-18T02:41:32.284618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:32.284618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The periodic Floer homology of a Dehn twist","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Michael Hutchings, Michael Sullivan","submitted_at":"2004-10-04T18:55:31Z","abstract_excerpt":"The periodic Floer homology of a surface symplectomorphism, defined by the first author and M. Thaddeus, is the homology of a chain complex which is generated by certain unions of periodic orbits, and whose differential counts certain embedded pseudoholomorphic curves in R cross the mapping torus. It is conjectured to recover the Seiberg-Witten Floer homology of the mapping torus for most spin-c structures, and is related to a variant of contact homology. In this paper we compute the periodic Floer homology of some Dehn twists."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410059","kind":"arxiv","version":2},"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":"math/0410059","created_at":"2026-05-18T02:41:32.284674+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0410059v2","created_at":"2026-05-18T02:41:32.284674+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410059","created_at":"2026-05-18T02:41:32.284674+00:00"},{"alias_kind":"pith_short_12","alias_value":"LEB7ELQ3ILEK","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"LEB7ELQ3ILEKWHZH","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"LEB7ELQ3","created_at":"2026-05-18T12:25:52.687210+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/LEB7ELQ3ILEKWHZHZESWKW6BAG","json":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG.json","graph_json":"https://pith.science/api/pith-number/LEB7ELQ3ILEKWHZHZESWKW6BAG/graph.json","events_json":"https://pith.science/api/pith-number/LEB7ELQ3ILEKWHZHZESWKW6BAG/events.json","paper":"https://pith.science/paper/LEB7ELQ3"},"agent_actions":{"view_html":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG","download_json":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG.json","view_paper":"https://pith.science/paper/LEB7ELQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0410059&json=true","fetch_graph":"https://pith.science/api/pith-number/LEB7ELQ3ILEKWHZHZESWKW6BAG/graph.json","fetch_events":"https://pith.science/api/pith-number/LEB7ELQ3ILEKWHZHZESWKW6BAG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG/action/storage_attestation","attest_author":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG/action/author_attestation","sign_citation":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG/action/citation_signature","submit_replication":"https://pith.science/pith/LEB7ELQ3ILEKWHZHZESWKW6BAG/action/replication_record"}},"created_at":"2026-05-18T02:41:32.284674+00:00","updated_at":"2026-05-18T02:41:32.284674+00:00"}