{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5SOT5N24JXKXKJRRWVR26FVONN","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":"5bd915b7ab7b32e962e890f5bd4dff140ed84c276f459c0a9f1ffc6fac322216","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-27T20:42:11Z","title_canon_sha256":"b6f7934492a5b916fe9377763e7e7abe6e614da2f782929c1147d1ffeff30db7"},"schema_version":"1.0","source":{"id":"1111.6293","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6293","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6293v1","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6293","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"pith_short_12","alias_value":"5SOT5N24JXKX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5SOT5N24JXKXKJRR","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5SOT5N24","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:4991df2da8c7d76f444d23267128c912eda2b67b9081438a0374fa40dd8dccd8","target":"graph","created_at":"2026-05-18T02:28:48Z","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":"A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type $B$ and, more generally, for the complex reflection groups $G(m,1,n)$ is constructed by a sequence of evaluations of a rational function in several variables with values in the group ring. The evaluations correspond to the eigenvalues of the two arrays of Jucys--Murphy elements.","authors_text":"L. Poulain d'Andecy, O. V. Ogievetsky","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-27T20:42:11Z","title":"Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6293","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":"sha256:65d8c5419f75d53224e70dc87250d06829ea05c16d3d4975d74142aa89c668ee","target":"record","created_at":"2026-05-18T02:28:48Z","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":"5bd915b7ab7b32e962e890f5bd4dff140ed84c276f459c0a9f1ffc6fac322216","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-27T20:42:11Z","title_canon_sha256":"b6f7934492a5b916fe9377763e7e7abe6e614da2f782929c1147d1ffeff30db7"},"schema_version":"1.0","source":{"id":"1111.6293","kind":"arxiv","version":1}},"canonical_sha256":"ec9d3eb75c4dd5752631b563af16ae6b6acb45483dc6cd9595a00ad30cebad69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec9d3eb75c4dd5752631b563af16ae6b6acb45483dc6cd9595a00ad30cebad69","first_computed_at":"2026-05-18T02:28:48.543657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:48.543657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RR1HfNxp3NvbEmgRM+tgP3EvC6CI9FSwc+id6j6tNAi7UaMc+FP2xubn4hIKIvpL5eCUmNzpH7H4MybkFKmfDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:48.544035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6293","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65d8c5419f75d53224e70dc87250d06829ea05c16d3d4975d74142aa89c668ee","sha256:4991df2da8c7d76f444d23267128c912eda2b67b9081438a0374fa40dd8dccd8"],"state_sha256":"7cfd846ea32f76917d4c1d5de4260eaabdbb66398a535f203afab06c4612e144"}