{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:2PR5WNBVF3W52ZPSEGANW2CD4Z","short_pith_number":"pith:2PR5WNBV","schema_version":"1.0","canonical_sha256":"d3e3db34352eeddd65f22180db6843e67cfeb195d06fcf21f4ee6e8d01e3508a","source":{"kind":"arxiv","id":"2410.05511","version":1},"attestation_state":"computed","paper":{"title":"On contact invariants in bordered Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Hyunki Min, Konstantinos Varvarezos","submitted_at":"2024-10-07T21:30:51Z","abstract_excerpt":"In this paper, we define contact invariants in bordered sutured Floer homology. Given a contact 3-manifold with convex boundary, we apply a result of Zarev (arxiv:1010.3496) to derive contact invariants in the bordered sutured modules $\\widehat{\\mathit{BSA}}$ and $\\widehat{\\mathit{BSD}}$, as well as in bimodules $\\widehat{\\mathit{BSAA}},$ $\\widehat{\\mathit{BSDD}},$ $\\widehat{\\mathit{BSDA}}$ in the case of two boundary components. In the connected boundary case, our invariants appear to agree with bordered contact invariants defined by Alishahi-F\\\"oldv\\'ari-Hendricks-Licata-Petkova-V\\'ertesi (a"},"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":"2410.05511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2024-10-07T21:30:51Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"b86b81c73fdc42525aa1f2e1e6f1a9421fabcf17a908bb4e89ea1950e3c47f84","abstract_canon_sha256":"0cb175cf3ea2adb557ee4b36c8c8ba9226187b9a09021ea852f20f6e80d73c51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:17:20.458788Z","signature_b64":"jiHMesgrnk5h9ARsfkl9TDoSwcysnQDzkN3anVueI7T2PtURTTNZzO5O6FQYVp+RVNNbvx6oQbfvt83JnnZrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3e3db34352eeddd65f22180db6843e67cfeb195d06fcf21f4ee6e8d01e3508a","last_reissued_at":"2026-07-05T09:17:20.458329Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:17:20.458329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On contact invariants in bordered Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Hyunki Min, Konstantinos Varvarezos","submitted_at":"2024-10-07T21:30:51Z","abstract_excerpt":"In this paper, we define contact invariants in bordered sutured Floer homology. Given a contact 3-manifold with convex boundary, we apply a result of Zarev (arxiv:1010.3496) to derive contact invariants in the bordered sutured modules $\\widehat{\\mathit{BSA}}$ and $\\widehat{\\mathit{BSD}}$, as well as in bimodules $\\widehat{\\mathit{BSAA}},$ $\\widehat{\\mathit{BSDD}},$ $\\widehat{\\mathit{BSDA}}$ in the case of two boundary components. In the connected boundary case, our invariants appear to agree with bordered contact invariants defined by Alishahi-F\\\"oldv\\'ari-Hendricks-Licata-Petkova-V\\'ertesi (a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05511","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.05511/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2410.05511","created_at":"2026-07-05T09:17:20.458390+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.05511v1","created_at":"2026-07-05T09:17:20.458390+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05511","created_at":"2026-07-05T09:17:20.458390+00:00"},{"alias_kind":"pith_short_12","alias_value":"2PR5WNBVF3W5","created_at":"2026-07-05T09:17:20.458390+00:00"},{"alias_kind":"pith_short_16","alias_value":"2PR5WNBVF3W52ZPS","created_at":"2026-07-05T09:17:20.458390+00:00"},{"alias_kind":"pith_short_8","alias_value":"2PR5WNBV","created_at":"2026-07-05T09:17:20.458390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.14050","citing_title":"Bordered contact invariants and half Giroux torsion","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z","json":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z.json","graph_json":"https://pith.science/api/pith-number/2PR5WNBVF3W52ZPSEGANW2CD4Z/graph.json","events_json":"https://pith.science/api/pith-number/2PR5WNBVF3W52ZPSEGANW2CD4Z/events.json","paper":"https://pith.science/paper/2PR5WNBV"},"agent_actions":{"view_html":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z","download_json":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z.json","view_paper":"https://pith.science/paper/2PR5WNBV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.05511&json=true","fetch_graph":"https://pith.science/api/pith-number/2PR5WNBVF3W52ZPSEGANW2CD4Z/graph.json","fetch_events":"https://pith.science/api/pith-number/2PR5WNBVF3W52ZPSEGANW2CD4Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z/action/storage_attestation","attest_author":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z/action/author_attestation","sign_citation":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z/action/citation_signature","submit_replication":"https://pith.science/pith/2PR5WNBVF3W52ZPSEGANW2CD4Z/action/replication_record"}},"created_at":"2026-07-05T09:17:20.458390+00:00","updated_at":"2026-07-05T09:17:20.458390+00:00"}