{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AVPPA5GV556SINQ4DR6FDWDPS3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4cb40e1347264c6a4da705e7e80a268a6eb8813cbf9ad34869c717a05bf40e76","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-12-21T09:20:00Z","title_canon_sha256":"67a7a7c2829be711357c412781a2792bee60d8b0fa51e9de4ca0771618e858d8"},"schema_version":"1.0","source":{"id":"1112.4954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4954","created_at":"2026-05-18T04:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4954v1","created_at":"2026-05-18T04:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4954","created_at":"2026-05-18T04:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"AVPPA5GV556S","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AVPPA5GV556SINQ4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AVPPA5GV","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:70bfc7a17b5625640f8aa86428bebf2ff45faca4d66723a93c63dc1408678f95","target":"graph","created_at":"2026-05-18T04:05:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For each n>0, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type Bn. It is defined by means of a presentation by generators and relations. We show that this algebra is a subalgebra of the Brauer algebra of type Dn+1 and point out a cellular structure in it. This work is a natural sequel to the introduction of Brauer algebras of type Cn, which are subalgebras of classical Brauer algebras of type A2n-1 and differ from the current ones for n>2.","authors_text":"Arjeh M. Cohen, Shoumin Liu","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-12-21T09:20:00Z","title":"Brauer algebras of type B"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4954","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1c6dc0939d96ffb0adc16fdc391da63b1bed063a127fa99914beb89287e00a18","target":"record","created_at":"2026-05-18T04:05:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4cb40e1347264c6a4da705e7e80a268a6eb8813cbf9ad34869c717a05bf40e76","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-12-21T09:20:00Z","title_canon_sha256":"67a7a7c2829be711357c412781a2792bee60d8b0fa51e9de4ca0771618e858d8"},"schema_version":"1.0","source":{"id":"1112.4954","kind":"arxiv","version":1}},"canonical_sha256":"055ef074d5ef7d24361c1c7c51d86f96d31c182865cb0e3e8351dc0504e7e4c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"055ef074d5ef7d24361c1c7c51d86f96d31c182865cb0e3e8351dc0504e7e4c0","first_computed_at":"2026-05-18T04:05:56.697652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:56.697652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/w/itACgO/m+IUUKgHwxUcMJUSlseQMMR2jI1VdSxh97qp5kNVUrmN7JloaIJroqYZ3cKoLPPuMhbETt4quHBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:56.698139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c6dc0939d96ffb0adc16fdc391da63b1bed063a127fa99914beb89287e00a18","sha256:70bfc7a17b5625640f8aa86428bebf2ff45faca4d66723a93c63dc1408678f95"],"state_sha256":"4b1f77cceaaebcbb70de4710e93f21230b67204dd8979a93058d5f2e5b7a6440"}