{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MWMPZZORE5B4VDEHYOXETDEDLX","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":"e1049fbc8c97525f51264c09079cd00674839fc99f9195806ad4ba7e463dc04c","cross_cats_sorted":["math.QA"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.RT","submitted_at":"2013-01-17T21:14:01Z","title_canon_sha256":"804fc7e7c7dd37273304b06842bb097853f52ba4144cfafb3840836c44bc2c14"},"schema_version":"1.0","source":{"id":"1301.4237","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4237","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4237v2","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4237","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"pith_short_12","alias_value":"MWMPZZORE5B4","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MWMPZZORE5B4VDEH","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MWMPZZOR","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:d58b9dffff53af4fa1dfaca2593d67b79444fff291019c2848d4e5f7b537a709","target":"graph","created_at":"2026-05-18T02:55:04Z","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 cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This function is a product of two terms, one of which depends only on the shape of the multi-tableau and is proportional to the inverse of the corresponding Schur element.","authors_text":"Lo\\\"ic Poulain d'Andecy, Oleg V. Ogievetsky","cross_cats":["math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.RT","submitted_at":"2013-01-17T21:14:01Z","title":"Fusion Procedure for Cyclotomic Hecke Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4237","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":"sha256:774c87af7777e8cdaf59e6794a4e6c92d3b66c95f8be7cec0454d109b09c3e93","target":"record","created_at":"2026-05-18T02:55:04Z","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":"e1049fbc8c97525f51264c09079cd00674839fc99f9195806ad4ba7e463dc04c","cross_cats_sorted":["math.QA"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.RT","submitted_at":"2013-01-17T21:14:01Z","title_canon_sha256":"804fc7e7c7dd37273304b06842bb097853f52ba4144cfafb3840836c44bc2c14"},"schema_version":"1.0","source":{"id":"1301.4237","kind":"arxiv","version":2}},"canonical_sha256":"6598fce5d12743ca8c87c3ae498c835dea35c2d074f88148aaaae4390cc38a48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6598fce5d12743ca8c87c3ae498c835dea35c2d074f88148aaaae4390cc38a48","first_computed_at":"2026-05-18T02:55:04.304841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:04.304841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A02HZ8LLI20rdi+csMDsszxT9P5rp8oUjBBw7fY1/SF/I6mczfmdTwBOndJrRgNJotTqPD32XVR1/8UTtNavDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:04.305604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4237","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:774c87af7777e8cdaf59e6794a4e6c92d3b66c95f8be7cec0454d109b09c3e93","sha256:d58b9dffff53af4fa1dfaca2593d67b79444fff291019c2848d4e5f7b537a709"],"state_sha256":"1685291e1e20e5b509b080d458d3ca0a3dffb997a15b5af44948ecd012081e58"}