{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OMZZGCVPPVVWO46DY435JLQOC2","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":"60e4bba045c5a3e09b69a5c8c5e7e599916bf2b7a78fb72868d65be3d15b249e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-12-08T16:00:36Z","title_canon_sha256":"91ba0fd6e0215224162843bc5bbcbbd1b8e8fad67796a5d23c5c9eb5be5692fb"},"schema_version":"1.0","source":{"id":"0812.1504","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1504","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1504v2","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1504","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"OMZZGCVPPVVW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OMZZGCVPPVVWO46D","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OMZZGCVP","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:1907926dfd5fd8570d41acaff59c5db2824c084e3db986c6469c4a2b94718704","target":"graph","created_at":"2026-05-18T04:18:15Z","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":"Using a change-of-measure argument, we prove an equality in law between the process of largest eigenvalues in a generalized Wishart random-matrix process and a last-passage percolation process. This equality in law was conjectured by Borodin and Peche.","authors_text":"A.B. Dieker, J. Warren","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-12-08T16:00:36Z","title":"On the largest-eigenvalue process for generalized Wishart random matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1504","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":"sha256:334cc36d9d4937d942315ef3bf20333d201d8be61ae22114fcb9c1733fdd0bdc","target":"record","created_at":"2026-05-18T04:18:15Z","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":"60e4bba045c5a3e09b69a5c8c5e7e599916bf2b7a78fb72868d65be3d15b249e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-12-08T16:00:36Z","title_canon_sha256":"91ba0fd6e0215224162843bc5bbcbbd1b8e8fad67796a5d23c5c9eb5be5692fb"},"schema_version":"1.0","source":{"id":"0812.1504","kind":"arxiv","version":2}},"canonical_sha256":"7333930aaf7d6b6773c3c737d4ae0e16aa2bca528248abb346175dd854eb4710","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7333930aaf7d6b6773c3c737d4ae0e16aa2bca528248abb346175dd854eb4710","first_computed_at":"2026-05-18T04:18:15.442887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:15.442887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZTu9hQZtYWi0PD+2uu3p6vwtNl1dhEm2VBYnwprMqy870ut2Yfo8EGXME+UCUmRgxa1Y5v3R4CnUqPhyrcCOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:15.443389Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.1504","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:334cc36d9d4937d942315ef3bf20333d201d8be61ae22114fcb9c1733fdd0bdc","sha256:1907926dfd5fd8570d41acaff59c5db2824c084e3db986c6469c4a2b94718704"],"state_sha256":"534be5d10408a9fbcbb4aa57b02965fdd0722d44df4de6c0e4b4c2d6b40a5dc1"}