{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MOMVCDYJA5E7VXHB7L7BBUZBIU","short_pith_number":"pith:MOMVCDYJ","schema_version":"1.0","canonical_sha256":"6399510f090749fadce1fafe10d321451eec49c25eda69b06e9eb1be2599839d","source":{"kind":"arxiv","id":"1407.6375","version":1},"attestation_state":"computed","paper":{"title":"Finite dimensional quotients of Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Losev","submitted_at":"2014-07-23T20:08:04Z","abstract_excerpt":"Let W be a complex reflection group. We prove that there is the maximal finite dimensional quotient of the Hecke algebra H_q(W) of W and that the dimension of this quotient coincides with |W|. This is a weak version of a Brou\\'e-Malle-Rouquier conjecture from 1998. The proof is based on categories O for Rational Cherednik algebras."},"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":"1407.6375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-23T20:08:04Z","cross_cats_sorted":[],"title_canon_sha256":"364eac4f797aa03015dc6f26f015f94c0e667ab92a3765697bd59f0002f8b3a6","abstract_canon_sha256":"a80134cb2c08b8ef8588b02cbe4105a303c0e0b14737599c67ff66282952daf1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:21.952186Z","signature_b64":"Q5zUm2Ic47+GRPbPyOccvI5sFC1D7+bvJ/HNxqGVQ/r+MALPRJv1HhP9lAiInVqRiwKCPHoCBsNdgHpRYRC6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6399510f090749fadce1fafe10d321451eec49c25eda69b06e9eb1be2599839d","last_reissued_at":"2026-05-18T01:22:21.951449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:21.951449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite dimensional quotients of Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Losev","submitted_at":"2014-07-23T20:08:04Z","abstract_excerpt":"Let W be a complex reflection group. We prove that there is the maximal finite dimensional quotient of the Hecke algebra H_q(W) of W and that the dimension of this quotient coincides with |W|. This is a weak version of a Brou\\'e-Malle-Rouquier conjecture from 1998. The proof is based on categories O for Rational Cherednik algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6375","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":"1407.6375","created_at":"2026-05-18T01:22:21.951579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.6375v1","created_at":"2026-05-18T01:22:21.951579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6375","created_at":"2026-05-18T01:22:21.951579+00:00"},{"alias_kind":"pith_short_12","alias_value":"MOMVCDYJA5E7","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MOMVCDYJA5E7VXHB","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MOMVCDYJ","created_at":"2026-05-18T12:28:38.356838+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/MOMVCDYJA5E7VXHB7L7BBUZBIU","json":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU.json","graph_json":"https://pith.science/api/pith-number/MOMVCDYJA5E7VXHB7L7BBUZBIU/graph.json","events_json":"https://pith.science/api/pith-number/MOMVCDYJA5E7VXHB7L7BBUZBIU/events.json","paper":"https://pith.science/paper/MOMVCDYJ"},"agent_actions":{"view_html":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU","download_json":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU.json","view_paper":"https://pith.science/paper/MOMVCDYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.6375&json=true","fetch_graph":"https://pith.science/api/pith-number/MOMVCDYJA5E7VXHB7L7BBUZBIU/graph.json","fetch_events":"https://pith.science/api/pith-number/MOMVCDYJA5E7VXHB7L7BBUZBIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU/action/storage_attestation","attest_author":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU/action/author_attestation","sign_citation":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU/action/citation_signature","submit_replication":"https://pith.science/pith/MOMVCDYJA5E7VXHB7L7BBUZBIU/action/replication_record"}},"created_at":"2026-05-18T01:22:21.951579+00:00","updated_at":"2026-05-18T01:22:21.951579+00:00"}