{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BQTGRDJXO2WUULJDXQDBU3OZ3P","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":"b505185c85c192b83b829552b22b72e70cd15d986080a105f5de6027928f6026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-09-01T16:13:59Z","title_canon_sha256":"548bce6506cd375e104aac60bf3fe0e7b546590bcd9eb330395e128fbbf0b6d7"},"schema_version":"1.0","source":{"id":"1109.0227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0227","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0227v1","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0227","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"pith_short_12","alias_value":"BQTGRDJXO2WU","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BQTGRDJXO2WUULJD","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BQTGRDJX","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:43204686acb81c11c429e04c8d82d2ccfb80010da70add971c3169b2ebc6eb47","target":"graph","created_at":"2026-05-18T02:00:43Z","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 calculate joint moments of the characteristic polynomial of a random unitary matrix from the circular unitary ensemble and its derivative in the case that the power in the moments is an odd positive integer. The calculations are carried out for finite matrix size and in the limit as the size of the matrices goes to infinity. The latter asymptotic calculation allows us to prove a long-standing conjecture from random matrix theory.","authors_text":"B. Winn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-09-01T16:13:59Z","title":"Derivative moments for characteristic polynomials from the CUE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0227","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:c99212436e5137b5aab9954ce3d09a91a729c494a54585ce81100dec38d42501","target":"record","created_at":"2026-05-18T02:00:43Z","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":"b505185c85c192b83b829552b22b72e70cd15d986080a105f5de6027928f6026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-09-01T16:13:59Z","title_canon_sha256":"548bce6506cd375e104aac60bf3fe0e7b546590bcd9eb330395e128fbbf0b6d7"},"schema_version":"1.0","source":{"id":"1109.0227","kind":"arxiv","version":1}},"canonical_sha256":"0c26688d3776ad4a2d23bc061a6dd9dbebb9030b74f1783386f325667e581f9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c26688d3776ad4a2d23bc061a6dd9dbebb9030b74f1783386f325667e581f9e","first_computed_at":"2026-05-18T02:00:43.209692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:43.209692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xRchzDcNklKJ8+XJ+UEfsg27x9IqdZ9LOhdAcBEMN+gKcpWR0yWn6U6FyeGvmSrzGJDwvplHayj9EN7mjkNOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:43.210444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c99212436e5137b5aab9954ce3d09a91a729c494a54585ce81100dec38d42501","sha256:43204686acb81c11c429e04c8d82d2ccfb80010da70add971c3169b2ebc6eb47"],"state_sha256":"d9853e46b8b30b8e64eac31e5b6b055e641f45012fd26e9e569e6d515bf4c311"}