{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:OI2TVPYUZZBJT2HC4X75UOFQRU","short_pith_number":"pith:OI2TVPYU","schema_version":"1.0","canonical_sha256":"72353abf14ce4299e8e2e5ffda38b08d21bb19451535204ffbe01786aa2a94f2","source":{"kind":"arxiv","id":"1801.07634","version":2},"attestation_state":"computed","paper":{"title":"Khovanov homology detects the trefoils","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"John A. Baldwin, Steven Sivek","submitted_at":"2018-01-23T16:15:13Z","abstract_excerpt":"We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Floer homology and contact geometry. It uses open books; the contact invariants we defined in the instanton Floer setting; a bypass exact triangle in sutured instanton homology, proven here; and Kronheimer and Mrowka's spectral sequence relating Khovanov homology with singular instanton knot homology. As a byproduct, we also strengthen a result of Kronheimer and Mrowka on $SU(2)$ representations of the knot group."},"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":"1801.07634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-01-23T16:15:13Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"c237a3d013e2bfb7f35cd7d0efba7cfc4484cf302324ed93d4212f54ea9e6d06","abstract_canon_sha256":"26d2bfb92c440f0735b80c61cbae4d38d0d687aecb880f93b8176588a026fb4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:05:27.300433Z","signature_b64":"49TX2bcWcfyYUAmV6TqYzU9fWugKp1J3tBqDk2QS3r/BMZY6/dAxllzoe073NIrBohz2RtWrHUJb9D5SSbliBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72353abf14ce4299e8e2e5ffda38b08d21bb19451535204ffbe01786aa2a94f2","last_reissued_at":"2026-07-05T04:05:27.299944Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:05:27.299944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Khovanov homology detects the trefoils","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"John A. Baldwin, Steven Sivek","submitted_at":"2018-01-23T16:15:13Z","abstract_excerpt":"We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Floer homology and contact geometry. It uses open books; the contact invariants we defined in the instanton Floer setting; a bypass exact triangle in sutured instanton homology, proven here; and Kronheimer and Mrowka's spectral sequence relating Khovanov homology with singular instanton knot homology. As a byproduct, we also strengthen a result of Kronheimer and Mrowka on $SU(2)$ representations of the knot group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07634","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1801.07634/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":"1801.07634","created_at":"2026-07-05T04:05:27.300016+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07634v2","created_at":"2026-07-05T04:05:27.300016+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07634","created_at":"2026-07-05T04:05:27.300016+00:00"},{"alias_kind":"pith_short_12","alias_value":"OI2TVPYUZZBJ","created_at":"2026-07-05T04:05:27.300016+00:00"},{"alias_kind":"pith_short_16","alias_value":"OI2TVPYUZZBJT2HC","created_at":"2026-07-05T04:05:27.300016+00:00"},{"alias_kind":"pith_short_8","alias_value":"OI2TVPYU","created_at":"2026-07-05T04:05:27.300016+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.06201","citing_title":"Fractional Dehn twist coefficients and rank bounds for categorified link invariants","ref_index":80,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU","json":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU.json","graph_json":"https://pith.science/api/pith-number/OI2TVPYUZZBJT2HC4X75UOFQRU/graph.json","events_json":"https://pith.science/api/pith-number/OI2TVPYUZZBJT2HC4X75UOFQRU/events.json","paper":"https://pith.science/paper/OI2TVPYU"},"agent_actions":{"view_html":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU","download_json":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU.json","view_paper":"https://pith.science/paper/OI2TVPYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07634&json=true","fetch_graph":"https://pith.science/api/pith-number/OI2TVPYUZZBJT2HC4X75UOFQRU/graph.json","fetch_events":"https://pith.science/api/pith-number/OI2TVPYUZZBJT2HC4X75UOFQRU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU/action/storage_attestation","attest_author":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU/action/author_attestation","sign_citation":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU/action/citation_signature","submit_replication":"https://pith.science/pith/OI2TVPYUZZBJT2HC4X75UOFQRU/action/replication_record"}},"created_at":"2026-07-05T04:05:27.300016+00:00","updated_at":"2026-07-05T04:05:27.300016+00:00"}