{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:J6RLONBM47UMYMEUCZS3KMZ53X","short_pith_number":"pith:J6RLONBM","schema_version":"1.0","canonical_sha256":"4fa2b7342ce7e8cc30941665b5333dddc46e417cca0038da7c03629555eea1c6","source":{"kind":"arxiv","id":"1109.2367","version":3},"attestation_state":"computed","paper":{"title":"Monodromy of the trigonometric Casimir connection for sl_2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.QA","authors_text":"Sachin Gautam, Valerio Toledano-Laredo","submitted_at":"2011-09-12T02:14:59Z","abstract_excerpt":"We show that the monodromy of the trigonometric Casimir connection on the tensor product of evaluation modules of the Yangian Ysl_2 is described by the quantum Weyl group operators of the quantum loop algebra U_h(Lsl_2). The proof is patterned on the second author's computation of the monodromy of the rational Casimir connection for sl_n via the dual pair (gl_k,gl_n), and rests ultimately on the Etingof-Geer-Schiffmann computation of the monodromy of the trigonometric KZ connection. It relies on two new ingredients: an affine extension of the duality between the R-matrix of U_h(sl_k) and the q"},"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":"1109.2367","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-09-12T02:14:59Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"68e4d78dee3b468431428df2bac1f1c706009a6e01216a91d43d7cbaa2ae51d9","abstract_canon_sha256":"a6d787beb376e243511f2d5cf20316a3d2af0c9eecde5e77bd6eeedc3914f0a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:25.315115Z","signature_b64":"TW5IMPv/Ph07jdp9pvqPBvOEcTt8lVcbIyo9K5pEgSgQB9Zn+ewUtZc9bamzjaeVuDalrGicsA7HF55U1B9lAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fa2b7342ce7e8cc30941665b5333dddc46e417cca0038da7c03629555eea1c6","last_reissued_at":"2026-05-18T03:08:25.314437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:25.314437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monodromy of the trigonometric Casimir connection for sl_2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.QA","authors_text":"Sachin Gautam, Valerio Toledano-Laredo","submitted_at":"2011-09-12T02:14:59Z","abstract_excerpt":"We show that the monodromy of the trigonometric Casimir connection on the tensor product of evaluation modules of the Yangian Ysl_2 is described by the quantum Weyl group operators of the quantum loop algebra U_h(Lsl_2). The proof is patterned on the second author's computation of the monodromy of the rational Casimir connection for sl_n via the dual pair (gl_k,gl_n), and rests ultimately on the Etingof-Geer-Schiffmann computation of the monodromy of the trigonometric KZ connection. It relies on two new ingredients: an affine extension of the duality between the R-matrix of U_h(sl_k) and the q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2367","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":"1109.2367","created_at":"2026-05-18T03:08:25.314539+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.2367v3","created_at":"2026-05-18T03:08:25.314539+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2367","created_at":"2026-05-18T03:08:25.314539+00:00"},{"alias_kind":"pith_short_12","alias_value":"J6RLONBM47UM","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"J6RLONBM47UMYMEU","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"J6RLONBM","created_at":"2026-05-18T12:26:32.869790+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/J6RLONBM47UMYMEUCZS3KMZ53X","json":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X.json","graph_json":"https://pith.science/api/pith-number/J6RLONBM47UMYMEUCZS3KMZ53X/graph.json","events_json":"https://pith.science/api/pith-number/J6RLONBM47UMYMEUCZS3KMZ53X/events.json","paper":"https://pith.science/paper/J6RLONBM"},"agent_actions":{"view_html":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X","download_json":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X.json","view_paper":"https://pith.science/paper/J6RLONBM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.2367&json=true","fetch_graph":"https://pith.science/api/pith-number/J6RLONBM47UMYMEUCZS3KMZ53X/graph.json","fetch_events":"https://pith.science/api/pith-number/J6RLONBM47UMYMEUCZS3KMZ53X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X/action/storage_attestation","attest_author":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X/action/author_attestation","sign_citation":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X/action/citation_signature","submit_replication":"https://pith.science/pith/J6RLONBM47UMYMEUCZS3KMZ53X/action/replication_record"}},"created_at":"2026-05-18T03:08:25.314539+00:00","updated_at":"2026-05-18T03:08:25.314539+00:00"}