{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2VCCCQCJPQ5TT6O26LGXANJW45","short_pith_number":"pith:2VCCCQCJ","schema_version":"1.0","canonical_sha256":"d5442140497c3b39f9daf2cd703536e74be5be1ebf32a659e6b7e09e48515132","source":{"kind":"arxiv","id":"1107.3918","version":7},"attestation_state":"computed","paper":{"title":"SU(N) quantum Racah coefficients & non-torus links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"P.Ramadevi, Zodinmawia","submitted_at":"2011-07-20T08:41:00Z","abstract_excerpt":"It is well-known that the SU(2) quantum Racah coefficients or the Wigner $6j$ symbols have a closed form expression which enables the evaluation of any knot or link polynomials in SU(2) Chern-Simons field theory. Using isotopy equivalence of SU(N) Chern-Simons functional integrals over three balls with one or more $S^2$ boundaries with punctures, we obtain identities to be satisfied by the SU(N) quantum Racah coefficients. This enables evaluation of the coefficients for a class of SU(N) representations. Using these coefficients, we can compute the polynomials for some non-torus knots and two-c"},"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":"1107.3918","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-20T08:41:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7f9de49187fe9a72724fab49f659a366ea39aaf47b880b847120128bb025ff16","abstract_canon_sha256":"660a7eb44e7b3588a96013a55398c2aaa6b593bb28cc0070d2c4aefe13cd90b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:48.271816Z","signature_b64":"9ix9s7cmsbTSZ7DndZpD83gsFsOt4tdzLybOmCQ75ZOsrxK/7b0NfaJJMcF7y4kmVZjcns3S5tpnIlTT7D4lDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5442140497c3b39f9daf2cd703536e74be5be1ebf32a659e6b7e09e48515132","last_reissued_at":"2026-05-18T03:36:48.271047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:48.271047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SU(N) quantum Racah coefficients & non-torus links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"P.Ramadevi, Zodinmawia","submitted_at":"2011-07-20T08:41:00Z","abstract_excerpt":"It is well-known that the SU(2) quantum Racah coefficients or the Wigner $6j$ symbols have a closed form expression which enables the evaluation of any knot or link polynomials in SU(2) Chern-Simons field theory. Using isotopy equivalence of SU(N) Chern-Simons functional integrals over three balls with one or more $S^2$ boundaries with punctures, we obtain identities to be satisfied by the SU(N) quantum Racah coefficients. This enables evaluation of the coefficients for a class of SU(N) representations. Using these coefficients, we can compute the polynomials for some non-torus knots and two-c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3918","kind":"arxiv","version":7},"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":"1107.3918","created_at":"2026-05-18T03:36:48.271169+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.3918v7","created_at":"2026-05-18T03:36:48.271169+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3918","created_at":"2026-05-18T03:36:48.271169+00:00"},{"alias_kind":"pith_short_12","alias_value":"2VCCCQCJPQ5T","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2VCCCQCJPQ5TT6O2","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2VCCCQCJ","created_at":"2026-05-18T12:26:18.847500+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/2VCCCQCJPQ5TT6O26LGXANJW45","json":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45.json","graph_json":"https://pith.science/api/pith-number/2VCCCQCJPQ5TT6O26LGXANJW45/graph.json","events_json":"https://pith.science/api/pith-number/2VCCCQCJPQ5TT6O26LGXANJW45/events.json","paper":"https://pith.science/paper/2VCCCQCJ"},"agent_actions":{"view_html":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45","download_json":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45.json","view_paper":"https://pith.science/paper/2VCCCQCJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.3918&json=true","fetch_graph":"https://pith.science/api/pith-number/2VCCCQCJPQ5TT6O26LGXANJW45/graph.json","fetch_events":"https://pith.science/api/pith-number/2VCCCQCJPQ5TT6O26LGXANJW45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45/action/storage_attestation","attest_author":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45/action/author_attestation","sign_citation":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45/action/citation_signature","submit_replication":"https://pith.science/pith/2VCCCQCJPQ5TT6O26LGXANJW45/action/replication_record"}},"created_at":"2026-05-18T03:36:48.271169+00:00","updated_at":"2026-05-18T03:36:48.271169+00:00"}