{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:S4ZJLQASNCX2WYNDDO36XH7KH5","short_pith_number":"pith:S4ZJLQAS","schema_version":"1.0","canonical_sha256":"973295c01268afab61a31bb7eb9fea3f707fe4becab7bced85c1a198a87f555e","source":{"kind":"arxiv","id":"1902.08281","version":2},"attestation_state":"computed","paper":{"title":"Serre duality for Khovanov-Rozansky homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.RT","authors_text":"Anton Mellit, Eugene Gorsky, Keita Nakagane, Matthew Hogancamp","submitted_at":"2019-02-21T21:55:23Z","abstract_excerpt":"We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-Rozansky homology, categorifying a theorem of K\\'alm\\'an."},"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":"1902.08281","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-02-21T21:55:23Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"5fa075337804fe52ca832a5e4ae0a58db2122f30768ea126f186958db5d24370","abstract_canon_sha256":"aaa356634e55e45cc30d3520bca6cc1f101f6d2266fc3336c827d674539a17ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:58.558345Z","signature_b64":"unMoMYE/5+mOHHWjR3yshe0kRkvgftkGKebKmcDiqUlSc1/NK+GDzNj+nO4I2NUaRoLFf3mwa2fFfP6OupmzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"973295c01268afab61a31bb7eb9fea3f707fe4becab7bced85c1a198a87f555e","last_reissued_at":"2026-07-05T00:48:58.557862Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:58.557862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Serre duality for Khovanov-Rozansky homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.RT","authors_text":"Anton Mellit, Eugene Gorsky, Keita Nakagane, Matthew Hogancamp","submitted_at":"2019-02-21T21:55:23Z","abstract_excerpt":"We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-Rozansky homology, categorifying a theorem of K\\'alm\\'an."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08281","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/1902.08281/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":"1902.08281","created_at":"2026-07-05T00:48:58.557926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.08281v2","created_at":"2026-07-05T00:48:58.557926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08281","created_at":"2026-07-05T00:48:58.557926+00:00"},{"alias_kind":"pith_short_12","alias_value":"S4ZJLQASNCX2","created_at":"2026-07-05T00:48:58.557926+00:00"},{"alias_kind":"pith_short_16","alias_value":"S4ZJLQASNCX2WYND","created_at":"2026-07-05T00:48:58.557926+00:00"},{"alias_kind":"pith_short_8","alias_value":"S4ZJLQAS","created_at":"2026-07-05T00:48:58.557926+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.00418","citing_title":"Torus link homology","ref_index":2019,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5","json":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5.json","graph_json":"https://pith.science/api/pith-number/S4ZJLQASNCX2WYNDDO36XH7KH5/graph.json","events_json":"https://pith.science/api/pith-number/S4ZJLQASNCX2WYNDDO36XH7KH5/events.json","paper":"https://pith.science/paper/S4ZJLQAS"},"agent_actions":{"view_html":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5","download_json":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5.json","view_paper":"https://pith.science/paper/S4ZJLQAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.08281&json=true","fetch_graph":"https://pith.science/api/pith-number/S4ZJLQASNCX2WYNDDO36XH7KH5/graph.json","fetch_events":"https://pith.science/api/pith-number/S4ZJLQASNCX2WYNDDO36XH7KH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5/action/storage_attestation","attest_author":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5/action/author_attestation","sign_citation":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5/action/citation_signature","submit_replication":"https://pith.science/pith/S4ZJLQASNCX2WYNDDO36XH7KH5/action/replication_record"}},"created_at":"2026-07-05T00:48:58.557926+00:00","updated_at":"2026-07-05T00:48:58.557926+00:00"}