{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PQGYMGTUNKQMNH4VZXEBN34GXH","short_pith_number":"pith:PQGYMGTU","canonical_record":{"source":{"id":"1105.4207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-05-21T02:38:36Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"80e9405b96fb999a709b2d77eeb526d8b52aa0495af3ac488fdfc8c3e7068395","abstract_canon_sha256":"3315569ba17e8dc99391f6f7208b40becb3decc70db52783e7653459b849cecb"},"schema_version":"1.0"},"canonical_sha256":"7c0d861a746aa0c69f95cdc816ef86b9dfa2168d6cff62ea50d33642f7563db8","source":{"kind":"arxiv","id":"1105.4207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4207","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4207v2","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4207","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"pith_short_12","alias_value":"PQGYMGTUNKQM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PQGYMGTUNKQMNH4V","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PQGYMGTU","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PQGYMGTUNKQMNH4VZXEBN34GXH","target":"record","payload":{"canonical_record":{"source":{"id":"1105.4207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-05-21T02:38:36Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"80e9405b96fb999a709b2d77eeb526d8b52aa0495af3ac488fdfc8c3e7068395","abstract_canon_sha256":"3315569ba17e8dc99391f6f7208b40becb3decc70db52783e7653459b849cecb"},"schema_version":"1.0"},"canonical_sha256":"7c0d861a746aa0c69f95cdc816ef86b9dfa2168d6cff62ea50d33642f7563db8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:22.353362Z","signature_b64":"0mbCmbmyGAssT8CBiihbD6AB9RGQ4z8QFPNzSk0SJpCBAsP0rntZkCswjnQ/Id0KXFXyFb4rq9smKx877d4JCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c0d861a746aa0c69f95cdc816ef86b9dfa2168d6cff62ea50d33642f7563db8","last_reissued_at":"2026-05-18T04:16:22.352816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:22.352816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.4207","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:16:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7KY8W7FB3h/seRcMOqTP2E+lZK1B6FcEetlvHYNM4K89tHCcma7gzLFZhkUqmKdPiUPcEVSwoVXZamwDZlALCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:57:35.637292Z"},"content_sha256":"da510d3d71997e813558bd93496347abdad716863e76f85d85ff38b9ce6b5056","schema_version":"1.0","event_id":"sha256:da510d3d71997e813558bd93496347abdad716863e76f85d85ff38b9ce6b5056"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PQGYMGTUNKQMNH4VZXEBN34GXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Affine and degenerate affine BMW algebras: The center","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Arun Ram, Rahbar Virk, Zajj Daugherty","submitted_at":"2011-05-21T02:38:36Z","abstract_excerpt":"The degenerate affine and affine BMW algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic Lie algebras and quantum groups, respectively. Cyclotomic BMW algebras, affine Hecke algebras, cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper the theory is unified by treating the orthogonal and symplectic cases simultaneously; we make an exact parallel between the degenerate affine and affine cases via a new algebra which takes the role of the affine braid group for the degenerate setting. A main result of this paper is an iden"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4207","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:16:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k5qrPthpKtgzB/Fxf/evwrvHklwdJM67TTwR7OhSxMMkbGAfkd0KeIwfVIyvl6A8BHIyOCbpUGNBJRBwP5Q9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:57:35.637659Z"},"content_sha256":"41c1ba3fe4bd7a48717d259cab6991195bf80ebaef58bc64bd6ab6a517b83c8e","schema_version":"1.0","event_id":"sha256:41c1ba3fe4bd7a48717d259cab6991195bf80ebaef58bc64bd6ab6a517b83c8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/bundle.json","state_url":"https://pith.science/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T23:57:35Z","links":{"resolver":"https://pith.science/pith/PQGYMGTUNKQMNH4VZXEBN34GXH","bundle":"https://pith.science/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/bundle.json","state":"https://pith.science/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PQGYMGTUNKQMNH4VZXEBN34GXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PQGYMGTUNKQMNH4VZXEBN34GXH","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":"3315569ba17e8dc99391f6f7208b40becb3decc70db52783e7653459b849cecb","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-05-21T02:38:36Z","title_canon_sha256":"80e9405b96fb999a709b2d77eeb526d8b52aa0495af3ac488fdfc8c3e7068395"},"schema_version":"1.0","source":{"id":"1105.4207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4207","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4207v2","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4207","created_at":"2026-05-18T04:16:22Z"},{"alias_kind":"pith_short_12","alias_value":"PQGYMGTUNKQM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PQGYMGTUNKQMNH4V","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PQGYMGTU","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:41c1ba3fe4bd7a48717d259cab6991195bf80ebaef58bc64bd6ab6a517b83c8e","target":"graph","created_at":"2026-05-18T04:16:22Z","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":"The degenerate affine and affine BMW algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic Lie algebras and quantum groups, respectively. Cyclotomic BMW algebras, affine Hecke algebras, cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper the theory is unified by treating the orthogonal and symplectic cases simultaneously; we make an exact parallel between the degenerate affine and affine cases via a new algebra which takes the role of the affine braid group for the degenerate setting. A main result of this paper is an iden","authors_text":"Arun Ram, Rahbar Virk, Zajj Daugherty","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-05-21T02:38:36Z","title":"Affine and degenerate affine BMW algebras: The center"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4207","kind":"arxiv","version":2},"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:da510d3d71997e813558bd93496347abdad716863e76f85d85ff38b9ce6b5056","target":"record","created_at":"2026-05-18T04:16:22Z","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":"3315569ba17e8dc99391f6f7208b40becb3decc70db52783e7653459b849cecb","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-05-21T02:38:36Z","title_canon_sha256":"80e9405b96fb999a709b2d77eeb526d8b52aa0495af3ac488fdfc8c3e7068395"},"schema_version":"1.0","source":{"id":"1105.4207","kind":"arxiv","version":2}},"canonical_sha256":"7c0d861a746aa0c69f95cdc816ef86b9dfa2168d6cff62ea50d33642f7563db8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c0d861a746aa0c69f95cdc816ef86b9dfa2168d6cff62ea50d33642f7563db8","first_computed_at":"2026-05-18T04:16:22.352816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:22.352816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0mbCmbmyGAssT8CBiihbD6AB9RGQ4z8QFPNzSk0SJpCBAsP0rntZkCswjnQ/Id0KXFXyFb4rq9smKx877d4JCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:22.353362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da510d3d71997e813558bd93496347abdad716863e76f85d85ff38b9ce6b5056","sha256:41c1ba3fe4bd7a48717d259cab6991195bf80ebaef58bc64bd6ab6a517b83c8e"],"state_sha256":"676fcd212ae24dfa45b82efa7d40b6f9789982c858a85ac3544adac68fc8fe9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vM9jpO02mFdB/ksGJAJtGQEtF6vDgEvXbpd764Q67llQS9q5Nx3DSDtcGqu1rSJT/xza9KF9sGZ2+a5fm5LBAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:57:35.639560Z","bundle_sha256":"3737bff09f163c994e93c92090f41a84766ab748a2bec79cbc75e855b1781d3f"}}