{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:34RZMAKC3VJURITIMHNQ6HVZYY","short_pith_number":"pith:34RZMAKC","schema_version":"1.0","canonical_sha256":"df23960142dd5348a26861db0f1eb9c63ef62f723574f05748228903afdd6295","source":{"kind":"arxiv","id":"1802.04131","version":1},"attestation_state":"computed","paper":{"title":"Annular Evaluation and Link Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.GT","authors_text":"Antonio Sartori, David E. V. Rose, Hoel Queffelec","submitted_at":"2018-02-12T15:43:35Z","abstract_excerpt":"We use categorical annular evaluation to give a uniform construction of both $\\mathfrak{sl}_n$ and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of these theories. Variations on our construction yield $\\mathfrak{gl}_{-n}$ link homology, i.e. a link homology theory associated to the Lie superalgebra $\\mathfrak{gl}_{0|n}$, both for links in $S^3$ and in the thickened annulus. In the $n=2$ case, this produces a categorification of the Jones polynomial that we show is distinct from Khovanov homology, and gives a finite-dimensional categorification of the colored Jones polyn"},"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":"1802.04131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-02-12T15:43:35Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"4fd61ac3b4178bffdf4a3656937d40a3fcc6722e18511279047c9222fa070c94","abstract_canon_sha256":"388c2090f9079453f56097c495998bc3358568dac944eddcf30ba1f07cbd56f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:46.724851Z","signature_b64":"XnKcf+POe/QLJlxQwrun66ysqKFQQOH2MYCqwjc+ssRkcg5DnU1343787M9NogqXVUOea0hq1NBGZG3kaSnBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df23960142dd5348a26861db0f1eb9c63ef62f723574f05748228903afdd6295","last_reissued_at":"2026-05-18T00:23:46.724395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:46.724395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Annular Evaluation and Link Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.GT","authors_text":"Antonio Sartori, David E. V. Rose, Hoel Queffelec","submitted_at":"2018-02-12T15:43:35Z","abstract_excerpt":"We use categorical annular evaluation to give a uniform construction of both $\\mathfrak{sl}_n$ and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of these theories. Variations on our construction yield $\\mathfrak{gl}_{-n}$ link homology, i.e. a link homology theory associated to the Lie superalgebra $\\mathfrak{gl}_{0|n}$, both for links in $S^3$ and in the thickened annulus. In the $n=2$ case, this produces a categorification of the Jones polynomial that we show is distinct from Khovanov homology, and gives a finite-dimensional categorification of the colored Jones polyn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04131","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":""},"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":"1802.04131","created_at":"2026-05-18T00:23:46.724448+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.04131v1","created_at":"2026-05-18T00:23:46.724448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04131","created_at":"2026-05-18T00:23:46.724448+00:00"},{"alias_kind":"pith_short_12","alias_value":"34RZMAKC3VJU","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"34RZMAKC3VJURITI","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"34RZMAKC","created_at":"2026-05-18T12:32:02.567920+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/34RZMAKC3VJURITIMHNQ6HVZYY","json":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY.json","graph_json":"https://pith.science/api/pith-number/34RZMAKC3VJURITIMHNQ6HVZYY/graph.json","events_json":"https://pith.science/api/pith-number/34RZMAKC3VJURITIMHNQ6HVZYY/events.json","paper":"https://pith.science/paper/34RZMAKC"},"agent_actions":{"view_html":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY","download_json":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY.json","view_paper":"https://pith.science/paper/34RZMAKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.04131&json=true","fetch_graph":"https://pith.science/api/pith-number/34RZMAKC3VJURITIMHNQ6HVZYY/graph.json","fetch_events":"https://pith.science/api/pith-number/34RZMAKC3VJURITIMHNQ6HVZYY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY/action/storage_attestation","attest_author":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY/action/author_attestation","sign_citation":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY/action/citation_signature","submit_replication":"https://pith.science/pith/34RZMAKC3VJURITIMHNQ6HVZYY/action/replication_record"}},"created_at":"2026-05-18T00:23:46.724448+00:00","updated_at":"2026-05-18T00:23:46.724448+00:00"}