{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ZAEVDGYHIBPK2IGAVOYESBQZTZ","short_pith_number":"pith:ZAEVDGYH","schema_version":"1.0","canonical_sha256":"c809519b07405ead20c0abb04906199e5155cd605b289951f670ebd4c1a1be24","source":{"kind":"arxiv","id":"math/0611518","version":3},"attestation_state":"computed","paper":{"title":"The cyclotomic BMW algebra associated with the two string type B braid group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Shona Yu, Stewart Wilcox","submitted_at":"2006-11-17T06:06:28Z","abstract_excerpt":"The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras B_n^k, introduced by R. Haring-Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki-Koike, in the same way as the BMW algebras are extensions of the Hecke algebras of type A. In this paper we focus on the case n=2, producing a basis of B_2^k and constructing its left regular representation."},"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":"math/0611518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2006-11-17T06:06:28Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"0f4f6367231b8e459de7dcf805bda712003cdc603e26393465d270ebce0960a8","abstract_canon_sha256":"9854e33bf22fc1a5d6f368888ec1286a823e4eec07a1848607d51fb43eb8d8f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:40.862289Z","signature_b64":"5Ayr/3wVkCi85YRDhkS7AbPASqvethFhLIUo+jaJOmtkozwVxZisHcWyjpw7OTClr8bvZulM0WIyDn0JJEr2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c809519b07405ead20c0abb04906199e5155cd605b289951f670ebd4c1a1be24","last_reissued_at":"2026-05-18T04:39:40.861781Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:40.861781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The cyclotomic BMW algebra associated with the two string type B braid group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Shona Yu, Stewart Wilcox","submitted_at":"2006-11-17T06:06:28Z","abstract_excerpt":"The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras B_n^k, introduced by R. Haring-Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki-Koike, in the same way as the BMW algebras are extensions of the Hecke algebras of type A. In this paper we focus on the case n=2, producing a basis of B_2^k and constructing its left regular representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611518","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":"math/0611518","created_at":"2026-05-18T04:39:40.861875+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0611518v3","created_at":"2026-05-18T04:39:40.861875+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611518","created_at":"2026-05-18T04:39:40.861875+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZAEVDGYHIBPK","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZAEVDGYHIBPK2IGA","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZAEVDGYH","created_at":"2026-05-18T12:25:54.717736+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/ZAEVDGYHIBPK2IGAVOYESBQZTZ","json":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ.json","graph_json":"https://pith.science/api/pith-number/ZAEVDGYHIBPK2IGAVOYESBQZTZ/graph.json","events_json":"https://pith.science/api/pith-number/ZAEVDGYHIBPK2IGAVOYESBQZTZ/events.json","paper":"https://pith.science/paper/ZAEVDGYH"},"agent_actions":{"view_html":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ","download_json":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ.json","view_paper":"https://pith.science/paper/ZAEVDGYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0611518&json=true","fetch_graph":"https://pith.science/api/pith-number/ZAEVDGYHIBPK2IGAVOYESBQZTZ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZAEVDGYHIBPK2IGAVOYESBQZTZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ/action/storage_attestation","attest_author":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ/action/author_attestation","sign_citation":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ/action/citation_signature","submit_replication":"https://pith.science/pith/ZAEVDGYHIBPK2IGAVOYESBQZTZ/action/replication_record"}},"created_at":"2026-05-18T04:39:40.861875+00:00","updated_at":"2026-05-18T04:39:40.861875+00:00"}