{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:I7MBGIJR5OFX3BCCZJZWZ3SJX7","short_pith_number":"pith:I7MBGIJR","schema_version":"1.0","canonical_sha256":"47d8132131eb8b7d8442ca736cee49bfe79ba1f8b5ee901bebbb127ae712bae1","source":{"kind":"arxiv","id":"1105.0905","version":3},"attestation_state":"computed","paper":{"title":"Dehn surgery, rational open books and knot Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Matthew Hedden, Olga Plamenevskaya","submitted_at":"2011-05-04T19:36:26Z","abstract_excerpt":"By recent results of Baker--Etnyre--Van Horn-Morris, a rational open book decomposition defines a compatible contact structure. We show that the Heegaard Floer contact invariant of such a contact structure can be computed in terms of the knot Floer homology of its (rationally null-homologous) binding. We then use this description of contact invariants, together with a formula for the knot Floer homology of the core of a surgery solid torus, to show that certain manifolds obtained by surgeries on bindings of open books carry tight contact structures. Possible applications to lens space surgerie"},"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":"1105.0905","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-04T19:36:26Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"844f69661ee5da9d45e41136ca892eb6be4e245d2b4c7ec0d728669648ca8b94","abstract_canon_sha256":"90730ed7271f87709619b0f14240f818486deabf7b01e25ce1e780d86fb42b0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:00.597889Z","signature_b64":"zPvDo072pHuO8RQLHmWMf2qoU+xpz6qE73zhF9CcKRtq0pt8b4HWfnv+WzBS/Loqv6eJq7RniRnXFRHRXc5hDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47d8132131eb8b7d8442ca736cee49bfe79ba1f8b5ee901bebbb127ae712bae1","last_reissued_at":"2026-05-18T02:22:00.597308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:00.597308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dehn surgery, rational open books and knot Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Matthew Hedden, Olga Plamenevskaya","submitted_at":"2011-05-04T19:36:26Z","abstract_excerpt":"By recent results of Baker--Etnyre--Van Horn-Morris, a rational open book decomposition defines a compatible contact structure. We show that the Heegaard Floer contact invariant of such a contact structure can be computed in terms of the knot Floer homology of its (rationally null-homologous) binding. We then use this description of contact invariants, together with a formula for the knot Floer homology of the core of a surgery solid torus, to show that certain manifolds obtained by surgeries on bindings of open books carry tight contact structures. Possible applications to lens space surgerie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0905","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":"1105.0905","created_at":"2026-05-18T02:22:00.597418+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.0905v3","created_at":"2026-05-18T02:22:00.597418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0905","created_at":"2026-05-18T02:22:00.597418+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7MBGIJR5OFX","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7MBGIJR5OFX3BCC","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7MBGIJR","created_at":"2026-05-18T12:26:30.835961+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/I7MBGIJR5OFX3BCCZJZWZ3SJX7","json":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7.json","graph_json":"https://pith.science/api/pith-number/I7MBGIJR5OFX3BCCZJZWZ3SJX7/graph.json","events_json":"https://pith.science/api/pith-number/I7MBGIJR5OFX3BCCZJZWZ3SJX7/events.json","paper":"https://pith.science/paper/I7MBGIJR"},"agent_actions":{"view_html":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7","download_json":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7.json","view_paper":"https://pith.science/paper/I7MBGIJR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.0905&json=true","fetch_graph":"https://pith.science/api/pith-number/I7MBGIJR5OFX3BCCZJZWZ3SJX7/graph.json","fetch_events":"https://pith.science/api/pith-number/I7MBGIJR5OFX3BCCZJZWZ3SJX7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7/action/storage_attestation","attest_author":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7/action/author_attestation","sign_citation":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7/action/citation_signature","submit_replication":"https://pith.science/pith/I7MBGIJR5OFX3BCCZJZWZ3SJX7/action/replication_record"}},"created_at":"2026-05-18T02:22:00.597418+00:00","updated_at":"2026-05-18T02:22:00.597418+00:00"}