{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:J47X5BAYISKM2UZOGHGJC5ROTT","short_pith_number":"pith:J47X5BAY","schema_version":"1.0","canonical_sha256":"4f3f7e84184494cd532e31cc91762e9ce5db5febf74d90fd61e6438f2afeaa05","source":{"kind":"arxiv","id":"1504.00371","version":3},"attestation_state":"computed","paper":{"title":"Colored HOMFLY polynomials of knots presented as double fat diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, An. Morozov, P. Ramadevi, Vivek Kumar Singh","submitted_at":"2015-04-01T20:04:04Z","abstract_excerpt":"Many knots and links in S^3 can be drawn as gluing of three manifolds with one or more four-punctured S^2 boundaries. We call these knot diagrams as double fat graphs whose invariants involve only the knowledge of the fusion and the braiding matrices of four-strand braids. Incorporating the properties of four-point conformal blocks in WZNW models, we conjecture colored HOMFLY polynomials for these double fat graphs where the color can be rectangular or non-rectangular representation. With the recent work of Gu-Jockers, the fusion matrices for the non-rectangular [21] representation, the first "},"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":"1504.00371","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-01T20:04:04Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"553f9de7da02d746450fd7cbeaf202458dcb3b36219d4f9da778b407c77fd834","abstract_canon_sha256":"7c140470d6c33787f2ee4ec42293377a6fdc4352553bcff280f04d7ec76d4a4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:10.825012Z","signature_b64":"rtSCRoPWvGOqNUpF07h+sdAKNtEvhS7gPJ4bxJPknjZXV60tjXksqFjKX0XWrRkEgYVyAGtuDWVwtcqUVB8NBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f3f7e84184494cd532e31cc91762e9ce5db5febf74d90fd61e6438f2afeaa05","last_reissued_at":"2026-05-18T01:36:10.824468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:10.824468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Colored HOMFLY polynomials of knots presented as double fat diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, An. Morozov, P. Ramadevi, Vivek Kumar Singh","submitted_at":"2015-04-01T20:04:04Z","abstract_excerpt":"Many knots and links in S^3 can be drawn as gluing of three manifolds with one or more four-punctured S^2 boundaries. We call these knot diagrams as double fat graphs whose invariants involve only the knowledge of the fusion and the braiding matrices of four-strand braids. Incorporating the properties of four-point conformal blocks in WZNW models, we conjecture colored HOMFLY polynomials for these double fat graphs where the color can be rectangular or non-rectangular representation. With the recent work of Gu-Jockers, the fusion matrices for the non-rectangular [21] representation, the first "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00371","kind":"arxiv","version":3},"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":"1504.00371","created_at":"2026-05-18T01:36:10.824522+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.00371v3","created_at":"2026-05-18T01:36:10.824522+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00371","created_at":"2026-05-18T01:36:10.824522+00:00"},{"alias_kind":"pith_short_12","alias_value":"J47X5BAYISKM","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"J47X5BAYISKM2UZO","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"J47X5BAY","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.22560","citing_title":"Shading A-polynomials via huge representations of $U_q(\\mathfrak{su}_N)$","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2605.04016","citing_title":"Entangling gates for the SU(N) anyons","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT","json":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT.json","graph_json":"https://pith.science/api/pith-number/J47X5BAYISKM2UZOGHGJC5ROTT/graph.json","events_json":"https://pith.science/api/pith-number/J47X5BAYISKM2UZOGHGJC5ROTT/events.json","paper":"https://pith.science/paper/J47X5BAY"},"agent_actions":{"view_html":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT","download_json":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT.json","view_paper":"https://pith.science/paper/J47X5BAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.00371&json=true","fetch_graph":"https://pith.science/api/pith-number/J47X5BAYISKM2UZOGHGJC5ROTT/graph.json","fetch_events":"https://pith.science/api/pith-number/J47X5BAYISKM2UZOGHGJC5ROTT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT/action/storage_attestation","attest_author":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT/action/author_attestation","sign_citation":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT/action/citation_signature","submit_replication":"https://pith.science/pith/J47X5BAYISKM2UZOGHGJC5ROTT/action/replication_record"}},"created_at":"2026-05-18T01:36:10.824522+00:00","updated_at":"2026-05-18T01:36:10.824522+00:00"}