{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AIKQEKC5VJVGARXP2SVH4HPJPN","short_pith_number":"pith:AIKQEKC5","canonical_record":{"source":{"id":"1205.3345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-15T12:33:10Z","cross_cats_sorted":[],"title_canon_sha256":"3bef70070cbcfb6d1ea72e17d622b87c5733c6878487c909478b62c159162d8a","abstract_canon_sha256":"492833d2e56216737e211403663c73b257fc5082dbbe26f39a34d6c550275ebf"},"schema_version":"1.0"},"canonical_sha256":"021502285daa6a6046efd4aa7e1de97b57a15616dac784ca6904c762350e5a25","source":{"kind":"arxiv","id":"1205.3345","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3345","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3345v1","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3345","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"AIKQEKC5VJVG","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AIKQEKC5VJVGARXP","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AIKQEKC5","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AIKQEKC5VJVGARXP2SVH4HPJPN","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-15T12:33:10Z","cross_cats_sorted":[],"title_canon_sha256":"3bef70070cbcfb6d1ea72e17d622b87c5733c6878487c909478b62c159162d8a","abstract_canon_sha256":"492833d2e56216737e211403663c73b257fc5082dbbe26f39a34d6c550275ebf"},"schema_version":"1.0"},"canonical_sha256":"021502285daa6a6046efd4aa7e1de97b57a15616dac784ca6904c762350e5a25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:36.254270Z","signature_b64":"C1oe2I0POf5HQJWTWRmEpilWd0oGvHPgJNXTL8Ujg0XByulFNKDJ06s8pDKkcEh+UVH3pmSRCrBklDVypgADBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"021502285daa6a6046efd4aa7e1de97b57a15616dac784ca6904c762350e5a25","last_reissued_at":"2026-05-18T03:55:36.253666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:36.253666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3345","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2Y5DyJ4x1hi+n+PmcuKGE4on5jEvnAzETb5dUvsqlLBLv0+XWFZ33guct9Wc9BpBKfhK2h3lXkS0VDLSzgrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T05:22:18.026697Z"},"content_sha256":"d0b1bbafc9afb624c35f29e95d341fa751bd491f4cea73dc8b54f39ce03fa2d3","schema_version":"1.0","event_id":"sha256:d0b1bbafc9afb624c35f29e95d341fa751bd491f4cea73dc8b54f39ce03fa2d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AIKQEKC5VJVGARXP2SVH4HPJPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"A. G. Cox, C. Bowman, M. De Visscher","submitted_at":"2012-05-15T12:33:10Z","abstract_excerpt":"We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3345","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFu+pfe8HQKgrY8TkUab/YKeq+pckCqWik4NvuxBXUF/oLNoFPFugSpWy0TOjLBa7ZIxTtxrTt6f8UQdQNzIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T05:22:18.027156Z"},"content_sha256":"722ebc213b485f48a71a19dc0aae97f39d525289dfd04a9691321bbdc9e45278","schema_version":"1.0","event_id":"sha256:722ebc213b485f48a71a19dc0aae97f39d525289dfd04a9691321bbdc9e45278"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/bundle.json","state_url":"https://pith.science/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/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":"2026-08-20T05:22:18Z","links":{"resolver":"https://pith.science/pith/AIKQEKC5VJVGARXP2SVH4HPJPN","bundle":"https://pith.science/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/bundle.json","state":"https://pith.science/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIKQEKC5VJVGARXP2SVH4HPJPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AIKQEKC5VJVGARXP2SVH4HPJPN","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":"492833d2e56216737e211403663c73b257fc5082dbbe26f39a34d6c550275ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-15T12:33:10Z","title_canon_sha256":"3bef70070cbcfb6d1ea72e17d622b87c5733c6878487c909478b62c159162d8a"},"schema_version":"1.0","source":{"id":"1205.3345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3345","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3345v1","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3345","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"AIKQEKC5VJVG","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AIKQEKC5VJVGARXP","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AIKQEKC5","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:722ebc213b485f48a71a19dc0aae97f39d525289dfd04a9691321bbdc9e45278","target":"graph","created_at":"2026-05-18T03:55:36Z","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":"We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.","authors_text":"A. G. Cox, C. Bowman, M. De Visscher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-15T12:33:10Z","title":"Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3345","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:d0b1bbafc9afb624c35f29e95d341fa751bd491f4cea73dc8b54f39ce03fa2d3","target":"record","created_at":"2026-05-18T03:55:36Z","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":"492833d2e56216737e211403663c73b257fc5082dbbe26f39a34d6c550275ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-15T12:33:10Z","title_canon_sha256":"3bef70070cbcfb6d1ea72e17d622b87c5733c6878487c909478b62c159162d8a"},"schema_version":"1.0","source":{"id":"1205.3345","kind":"arxiv","version":1}},"canonical_sha256":"021502285daa6a6046efd4aa7e1de97b57a15616dac784ca6904c762350e5a25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"021502285daa6a6046efd4aa7e1de97b57a15616dac784ca6904c762350e5a25","first_computed_at":"2026-05-18T03:55:36.253666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:36.253666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C1oe2I0POf5HQJWTWRmEpilWd0oGvHPgJNXTL8Ujg0XByulFNKDJ06s8pDKkcEh+UVH3pmSRCrBklDVypgADBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:36.254270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0b1bbafc9afb624c35f29e95d341fa751bd491f4cea73dc8b54f39ce03fa2d3","sha256:722ebc213b485f48a71a19dc0aae97f39d525289dfd04a9691321bbdc9e45278"],"state_sha256":"e4f4d55c70612128a504869efc3d6eed35bcef2aef3a14e26930920bfb5df840"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wo4LjYV5zavSzDnuv2m/mCRNRizsDdLmFvvAH6EIgaAIixbWbA0Dt9c1jD1Uya71CfT8i5YFciNjCC9kaBx3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T05:22:18.033637Z","bundle_sha256":"8726d19da667cba4fb77a3eac06e7862aaa630e42993e3e7192e28438029815d"}}