{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:K4C66UJJ33SG6AMP2OSG5ZIDML","short_pith_number":"pith:K4C66UJJ","schema_version":"1.0","canonical_sha256":"5705ef5129dee46f018fd3a46ee50362cd173a846d0a7a7bad288b60f200f946","source":{"kind":"arxiv","id":"1507.08365","version":4},"attestation_state":"computed","paper":{"title":"A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Seth Shelley-Abrahamson, Yuchen Fu","submitted_at":"2015-07-30T03:29:45Z","abstract_excerpt":"We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using $R$-matrices for $U_q(\\mathfrak{sl}_N)$. Our construction is motivated by an analogous construction of Silvia Montarani in the rational case. Using the Drinfeld-Kohno theorem for Knizhnik-Zamolodchikov differential equations, we prove that the explicit representations we produce correspond to Montarani's representations under a monodromy functor introduced by Etingof, Gan, and Oblomkov."},"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":"1507.08365","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2015-07-30T03:29:45Z","cross_cats_sorted":[],"title_canon_sha256":"2bd279bf58c190c31831246ecbe3907a97bc83cda31a867c676929960d979f8b","abstract_canon_sha256":"c4e8b88cf5da9e1bb618677b9d620d8e3cae3ba65de9e5aea8ea8c90ed26faaf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:30.726313Z","signature_b64":"DwZ/yfJXpiM+udffMVZVed/D//wgm2YC/152wvonWEEa/mUevKz3AMa22JKmoWtSlN5oiEpfMw45K2bO3D8zAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5705ef5129dee46f018fd3a46ee50362cd173a846d0a7a7bad288b60f200f946","last_reissued_at":"2026-05-18T01:12:30.725995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:30.725995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Seth Shelley-Abrahamson, Yuchen Fu","submitted_at":"2015-07-30T03:29:45Z","abstract_excerpt":"We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using $R$-matrices for $U_q(\\mathfrak{sl}_N)$. Our construction is motivated by an analogous construction of Silvia Montarani in the rational case. Using the Drinfeld-Kohno theorem for Knizhnik-Zamolodchikov differential equations, we prove that the explicit representations we produce correspond to Montarani's representations under a monodromy functor introduced by Etingof, Gan, and Oblomkov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08365","kind":"arxiv","version":4},"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":"1507.08365","created_at":"2026-05-18T01:12:30.726044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.08365v4","created_at":"2026-05-18T01:12:30.726044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08365","created_at":"2026-05-18T01:12:30.726044+00:00"},{"alias_kind":"pith_short_12","alias_value":"K4C66UJJ33SG","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"K4C66UJJ33SG6AMP","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"K4C66UJJ","created_at":"2026-05-18T12:29:27.538025+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/K4C66UJJ33SG6AMP2OSG5ZIDML","json":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML.json","graph_json":"https://pith.science/api/pith-number/K4C66UJJ33SG6AMP2OSG5ZIDML/graph.json","events_json":"https://pith.science/api/pith-number/K4C66UJJ33SG6AMP2OSG5ZIDML/events.json","paper":"https://pith.science/paper/K4C66UJJ"},"agent_actions":{"view_html":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML","download_json":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML.json","view_paper":"https://pith.science/paper/K4C66UJJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.08365&json=true","fetch_graph":"https://pith.science/api/pith-number/K4C66UJJ33SG6AMP2OSG5ZIDML/graph.json","fetch_events":"https://pith.science/api/pith-number/K4C66UJJ33SG6AMP2OSG5ZIDML/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML/action/storage_attestation","attest_author":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML/action/author_attestation","sign_citation":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML/action/citation_signature","submit_replication":"https://pith.science/pith/K4C66UJJ33SG6AMP2OSG5ZIDML/action/replication_record"}},"created_at":"2026-05-18T01:12:30.726044+00:00","updated_at":"2026-05-18T01:12:30.726044+00:00"}