{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZL7E3IOWO2U3CBU74U4TC5ZTVJ","short_pith_number":"pith:ZL7E3IOW","schema_version":"1.0","canonical_sha256":"cafe4da1d676a9b1069fe539317733aa454bda27c2ea7a5976022d9ad2bc9857","source":{"kind":"arxiv","id":"1607.07023","version":2},"attestation_state":"computed","paper":{"title":"The BMR freeness conjecture for the tetrahedral and octahedral families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eirini Chavli","submitted_at":"2016-07-24T10:19:18Z","abstract_excerpt":"We prove the validity of the freeness conjecture of Brou\\'e, Malle and Rouquier for the generic Hecke algebras associated to the exceptional complex reflection groups of rank 2 belonging to the tetrahedral and octahedral families, and we give a description of the basis similar to the classical case of the finite Coxeter groups."},"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":"1607.07023","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-07-24T10:19:18Z","cross_cats_sorted":[],"title_canon_sha256":"d26f76949aff50763d89a357f993983844d6eb8fa7faa5be637ba55250958916","abstract_canon_sha256":"f92ca34fc42168fda5e2b918a7ad3e91ed790912aae34412b971825f7f6658f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:06.465436Z","signature_b64":"LHk946nHtEPsbgh9AuNwG7V9KHj7HJcFvKht0yckT6KiMt/3phJqN0sN7ATmjER8pFZRv56zXqt9hBH9d4N2BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cafe4da1d676a9b1069fe539317733aa454bda27c2ea7a5976022d9ad2bc9857","last_reissued_at":"2026-05-18T00:45:06.465039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:06.465039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The BMR freeness conjecture for the tetrahedral and octahedral families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eirini Chavli","submitted_at":"2016-07-24T10:19:18Z","abstract_excerpt":"We prove the validity of the freeness conjecture of Brou\\'e, Malle and Rouquier for the generic Hecke algebras associated to the exceptional complex reflection groups of rank 2 belonging to the tetrahedral and octahedral families, and we give a description of the basis similar to the classical case of the finite Coxeter groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07023","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":"1607.07023","created_at":"2026-05-18T00:45:06.465100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.07023v2","created_at":"2026-05-18T00:45:06.465100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07023","created_at":"2026-05-18T00:45:06.465100+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZL7E3IOWO2U3","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZL7E3IOWO2U3CBU7","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZL7E3IOW","created_at":"2026-05-18T12:30:53.716459+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/ZL7E3IOWO2U3CBU74U4TC5ZTVJ","json":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ.json","graph_json":"https://pith.science/api/pith-number/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/graph.json","events_json":"https://pith.science/api/pith-number/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/events.json","paper":"https://pith.science/paper/ZL7E3IOW"},"agent_actions":{"view_html":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ","download_json":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ.json","view_paper":"https://pith.science/paper/ZL7E3IOW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.07023&json=true","fetch_graph":"https://pith.science/api/pith-number/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/action/storage_attestation","attest_author":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/action/author_attestation","sign_citation":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/action/citation_signature","submit_replication":"https://pith.science/pith/ZL7E3IOWO2U3CBU74U4TC5ZTVJ/action/replication_record"}},"created_at":"2026-05-18T00:45:06.465100+00:00","updated_at":"2026-05-18T00:45:06.465100+00:00"}