{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FAIOONXG6UNQ5HTX4IQFWUIVVT","short_pith_number":"pith:FAIOONXG","schema_version":"1.0","canonical_sha256":"2810e736e6f51b0e9e77e2205b5115acfc2cacc620cba854aa18ad675751b60c","source":{"kind":"arxiv","id":"1305.4456","version":2},"attestation_state":"computed","paper":{"title":"Categorifications and cyclotomic rational double affine Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eric Vasserot, Michela Varagnolo, Peng Shan, Raphael Rouquier","submitted_at":"2013-05-20T07:54:32Z","abstract_excerpt":"Varagnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a subcategory of an affine parabolic category O of type A. We prove this conjecture. As applications, we prove a conjecture of Rouquier on the dimension of simple modules of CRDAHA's and a conjecture of Chuang-Miyachi on the Koszul duality for the category O of CRDAHA's."},"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":"1305.4456","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-05-20T07:54:32Z","cross_cats_sorted":[],"title_canon_sha256":"d7391b583909f9905f32fbe5bdd2591b7d95ad8ed52b3603e41f78456223cfe3","abstract_canon_sha256":"a638cd323ac5b9798df2cc194ab29e58905d2f13ec51bffa9180f27a3b545f20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:05.016648Z","signature_b64":"a4XMjubaQ4LtweywnR1syQTgdwjg9Vw1rPI6G786vmKelCbon0Qto5B2R6OMoPiTSscRbnrrkVoDEQwEnlcoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2810e736e6f51b0e9e77e2205b5115acfc2cacc620cba854aa18ad675751b60c","last_reissued_at":"2026-05-18T03:22:05.015918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:05.015918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorifications and cyclotomic rational double affine Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eric Vasserot, Michela Varagnolo, Peng Shan, Raphael Rouquier","submitted_at":"2013-05-20T07:54:32Z","abstract_excerpt":"Varagnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a subcategory of an affine parabolic category O of type A. We prove this conjecture. As applications, we prove a conjecture of Rouquier on the dimension of simple modules of CRDAHA's and a conjecture of Chuang-Miyachi on the Koszul duality for the category O of CRDAHA's."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4456","kind":"arxiv","version":2},"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":"1305.4456","created_at":"2026-05-18T03:22:05.016025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.4456v2","created_at":"2026-05-18T03:22:05.016025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4456","created_at":"2026-05-18T03:22:05.016025+00:00"},{"alias_kind":"pith_short_12","alias_value":"FAIOONXG6UNQ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FAIOONXG6UNQ5HTX","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FAIOONXG","created_at":"2026-05-18T12:27:45.050594+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/FAIOONXG6UNQ5HTX4IQFWUIVVT","json":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT.json","graph_json":"https://pith.science/api/pith-number/FAIOONXG6UNQ5HTX4IQFWUIVVT/graph.json","events_json":"https://pith.science/api/pith-number/FAIOONXG6UNQ5HTX4IQFWUIVVT/events.json","paper":"https://pith.science/paper/FAIOONXG"},"agent_actions":{"view_html":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT","download_json":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT.json","view_paper":"https://pith.science/paper/FAIOONXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.4456&json=true","fetch_graph":"https://pith.science/api/pith-number/FAIOONXG6UNQ5HTX4IQFWUIVVT/graph.json","fetch_events":"https://pith.science/api/pith-number/FAIOONXG6UNQ5HTX4IQFWUIVVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT/action/storage_attestation","attest_author":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT/action/author_attestation","sign_citation":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT/action/citation_signature","submit_replication":"https://pith.science/pith/FAIOONXG6UNQ5HTX4IQFWUIVVT/action/replication_record"}},"created_at":"2026-05-18T03:22:05.016025+00:00","updated_at":"2026-05-18T03:22:05.016025+00:00"}