{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SJLHNOXPFNMKYP5QN5VT3OSJVW","short_pith_number":"pith:SJLHNOXP","schema_version":"1.0","canonical_sha256":"925676baef2b58ac3fb06f6b3dba49adbbf99ce1729f538fe53f8f9ddd6057be","source":{"kind":"arxiv","id":"1509.01511","version":3},"attestation_state":"computed","paper":{"title":"Naturality of Heegaard Floer invariants under positive rational contact surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"B\\\"ulent Tosun, Thomas E. Mark","submitted_at":"2015-09-04T15:59:19Z","abstract_excerpt":"For a nullhomologous Legendrian knot in a closed contact 3-manifold Y we consider a contact structure obtained by positive rational contact surgery. We prove that in this situation the Heegaard Floer contact invariant of Y is mapped by a surgery cobordism to the contact invariant of the result of contact surgery. In addition we characterize the spin-c structure on the cobordism that induces the relevant map. As a consequence we determine necessary and sufficient conditions for the nonvanishing of the contact invariant after rational surgery when Y is the standard 3-sphere, generalizing previou"},"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":"1509.01511","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-04T15:59:19Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"c9567d16445c52af058241dc8ad0b39bb96afb11b4d087c9cfa6f9c6b546062b","abstract_canon_sha256":"309faea4422bc349dc2eea58cbef07cdfc5d5e48e7ac3e9621fc32d5a0ce2c0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:38.286489Z","signature_b64":"0SwgOJ4uzR+VDZsWJhoTxpX6Sbb2OGwx27ItYNKrkBp3TgKNrz04ls+2KbQ1wNO4Vid52UKr1TZr12QzULHgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"925676baef2b58ac3fb06f6b3dba49adbbf99ce1729f538fe53f8f9ddd6057be","last_reissued_at":"2026-05-18T00:13:38.285881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:38.285881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Naturality of Heegaard Floer invariants under positive rational contact surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"B\\\"ulent Tosun, Thomas E. Mark","submitted_at":"2015-09-04T15:59:19Z","abstract_excerpt":"For a nullhomologous Legendrian knot in a closed contact 3-manifold Y we consider a contact structure obtained by positive rational contact surgery. We prove that in this situation the Heegaard Floer contact invariant of Y is mapped by a surgery cobordism to the contact invariant of the result of contact surgery. In addition we characterize the spin-c structure on the cobordism that induces the relevant map. As a consequence we determine necessary and sufficient conditions for the nonvanishing of the contact invariant after rational surgery when Y is the standard 3-sphere, generalizing previou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01511","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":"1509.01511","created_at":"2026-05-18T00:13:38.285964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.01511v3","created_at":"2026-05-18T00:13:38.285964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01511","created_at":"2026-05-18T00:13:38.285964+00:00"},{"alias_kind":"pith_short_12","alias_value":"SJLHNOXPFNMK","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SJLHNOXPFNMKYP5Q","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SJLHNOXP","created_at":"2026-05-18T12:29:42.218222+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/SJLHNOXPFNMKYP5QN5VT3OSJVW","json":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW.json","graph_json":"https://pith.science/api/pith-number/SJLHNOXPFNMKYP5QN5VT3OSJVW/graph.json","events_json":"https://pith.science/api/pith-number/SJLHNOXPFNMKYP5QN5VT3OSJVW/events.json","paper":"https://pith.science/paper/SJLHNOXP"},"agent_actions":{"view_html":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW","download_json":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW.json","view_paper":"https://pith.science/paper/SJLHNOXP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.01511&json=true","fetch_graph":"https://pith.science/api/pith-number/SJLHNOXPFNMKYP5QN5VT3OSJVW/graph.json","fetch_events":"https://pith.science/api/pith-number/SJLHNOXPFNMKYP5QN5VT3OSJVW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW/action/storage_attestation","attest_author":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW/action/author_attestation","sign_citation":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW/action/citation_signature","submit_replication":"https://pith.science/pith/SJLHNOXPFNMKYP5QN5VT3OSJVW/action/replication_record"}},"created_at":"2026-05-18T00:13:38.285964+00:00","updated_at":"2026-05-18T00:13:38.285964+00:00"}