{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NRDJHEE4KZTWT26OIGBWZD5OR4","short_pith_number":"pith:NRDJHEE4","schema_version":"1.0","canonical_sha256":"6c4693909c566769ebce41836c8fae8f001a7325ecacfb605777f58c2b705494","source":{"kind":"arxiv","id":"1410.2161","version":2},"attestation_state":"computed","paper":{"title":"Combinatorial tangle Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Ina Petkova, Vera Vertesi","submitted_at":"2014-10-08T15:21:03Z","abstract_excerpt":"In this paper we extend the idea of bordered Floer homology to knots and links in $S^3$: Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in $S^3$, $D^3$ and $I\\times S^2$. The special case of $S^3$ gives back a stabilized version of knot Floer homology."},"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":"1410.2161","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T15:21:03Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"2eb6c61269d188d6ca143659de7d384044710de87d36b165cb3d13671f9816eb","abstract_canon_sha256":"75bada209d4cc4373b347ad50f1556342417c9f6bbbcd46f784d137eeb4cc01c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:26.380731Z","signature_b64":"6MZ7PqTMcb1q6+e8kz9mmmadLuEowFozGRQMdAvrJkzh/74yvieGHWVzV1IgjsokrZOgzfecBop60ahW+VTIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c4693909c566769ebce41836c8fae8f001a7325ecacfb605777f58c2b705494","last_reissued_at":"2026-05-18T00:53:26.380323Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:26.380323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorial tangle Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Ina Petkova, Vera Vertesi","submitted_at":"2014-10-08T15:21:03Z","abstract_excerpt":"In this paper we extend the idea of bordered Floer homology to knots and links in $S^3$: Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in $S^3$, $D^3$ and $I\\times S^2$. The special case of $S^3$ gives back a stabilized version of knot Floer homology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2161","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":"1410.2161","created_at":"2026-05-18T00:53:26.380395+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.2161v2","created_at":"2026-05-18T00:53:26.380395+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2161","created_at":"2026-05-18T00:53:26.380395+00:00"},{"alias_kind":"pith_short_12","alias_value":"NRDJHEE4KZTW","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NRDJHEE4KZTWT26O","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NRDJHEE4","created_at":"2026-05-18T12:28:41.024544+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/NRDJHEE4KZTWT26OIGBWZD5OR4","json":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4.json","graph_json":"https://pith.science/api/pith-number/NRDJHEE4KZTWT26OIGBWZD5OR4/graph.json","events_json":"https://pith.science/api/pith-number/NRDJHEE4KZTWT26OIGBWZD5OR4/events.json","paper":"https://pith.science/paper/NRDJHEE4"},"agent_actions":{"view_html":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4","download_json":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4.json","view_paper":"https://pith.science/paper/NRDJHEE4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.2161&json=true","fetch_graph":"https://pith.science/api/pith-number/NRDJHEE4KZTWT26OIGBWZD5OR4/graph.json","fetch_events":"https://pith.science/api/pith-number/NRDJHEE4KZTWT26OIGBWZD5OR4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4/action/storage_attestation","attest_author":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4/action/author_attestation","sign_citation":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4/action/citation_signature","submit_replication":"https://pith.science/pith/NRDJHEE4KZTWT26OIGBWZD5OR4/action/replication_record"}},"created_at":"2026-05-18T00:53:26.380395+00:00","updated_at":"2026-05-18T00:53:26.380395+00:00"}