{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TAGYOWLF4AOAYAZL7URB4BDWYB","short_pith_number":"pith:TAGYOWLF","schema_version":"1.0","canonical_sha256":"980d875965e01c0c032bfd221e0476c04791ec37f5743bd0a603ce1dc38821fe","source":{"kind":"arxiv","id":"1202.2489","version":1},"attestation_state":"computed","paper":{"title":"Refined Chern-Simons Theory and Knot Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mina Aganagic, Shamil Shakirov","submitted_at":"2012-02-12T04:22:51Z","abstract_excerpt":"The refined Chern-Simons theory is a one-parameter deformation of the ordinary Chern-Simons theory on Seifert manifolds. It is defined via an index of the theory on N M5 branes, where the corresponding one-parameter deformation is a natural deformation of the geometric background. Analogously with the unrefined case, the solution of refined Chern-Simons theory is given in terms of S and T matrices, which are the proper Macdonald deformations of the usual ones. This provides a direct way to compute refined Chern-Simons invariants of a wide class of three-manifolds and knots. The knot invariants"},"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":"1202.2489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-12T04:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"af50bf9206ca4259240e1e52950bd2a5a597ee930dd26a0e5a48a5a7f1d6ad96","abstract_canon_sha256":"198c81b19f9f10412bf8ac172c539a18321f31aff876b113c44759fddba28390"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:26.421152Z","signature_b64":"X6tWGgqsTfdimy+sR+r95rusUqA5xiLl2b5TXBq7B1PZ0zBpYQux6ql4x07bGqgYBgXyBkqXLnKFKr+kGNxeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"980d875965e01c0c032bfd221e0476c04791ec37f5743bd0a603ce1dc38821fe","last_reissued_at":"2026-05-18T04:02:26.420709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:26.420709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Refined Chern-Simons Theory and Knot Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mina Aganagic, Shamil Shakirov","submitted_at":"2012-02-12T04:22:51Z","abstract_excerpt":"The refined Chern-Simons theory is a one-parameter deformation of the ordinary Chern-Simons theory on Seifert manifolds. It is defined via an index of the theory on N M5 branes, where the corresponding one-parameter deformation is a natural deformation of the geometric background. Analogously with the unrefined case, the solution of refined Chern-Simons theory is given in terms of S and T matrices, which are the proper Macdonald deformations of the usual ones. This provides a direct way to compute refined Chern-Simons invariants of a wide class of three-manifolds and knots. The knot invariants"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2489","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":"1202.2489","created_at":"2026-05-18T04:02:26.420771+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.2489v1","created_at":"2026-05-18T04:02:26.420771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2489","created_at":"2026-05-18T04:02:26.420771+00:00"},{"alias_kind":"pith_short_12","alias_value":"TAGYOWLF4AOA","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TAGYOWLF4AOAYAZL","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TAGYOWLF","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.18524","citing_title":"Superintegrability for some $(q,t)$-deformed matrix models","ref_index":46,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12469","citing_title":"A note on universality in refined Chern-Simons theory","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB","json":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB.json","graph_json":"https://pith.science/api/pith-number/TAGYOWLF4AOAYAZL7URB4BDWYB/graph.json","events_json":"https://pith.science/api/pith-number/TAGYOWLF4AOAYAZL7URB4BDWYB/events.json","paper":"https://pith.science/paper/TAGYOWLF"},"agent_actions":{"view_html":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB","download_json":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB.json","view_paper":"https://pith.science/paper/TAGYOWLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.2489&json=true","fetch_graph":"https://pith.science/api/pith-number/TAGYOWLF4AOAYAZL7URB4BDWYB/graph.json","fetch_events":"https://pith.science/api/pith-number/TAGYOWLF4AOAYAZL7URB4BDWYB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB/action/storage_attestation","attest_author":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB/action/author_attestation","sign_citation":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB/action/citation_signature","submit_replication":"https://pith.science/pith/TAGYOWLF4AOAYAZL7URB4BDWYB/action/replication_record"}},"created_at":"2026-05-18T04:02:26.420771+00:00","updated_at":"2026-05-18T04:02:26.420771+00:00"}