{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VYUKXHW7PPSLQQYVOIHHH7ZXYY","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":"2060a4d2e9d603ed7c65899cf9bf219b64c2a86e73b9afe43802cf75e6969532","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-24T19:39:01Z","title_canon_sha256":"16e83314cec650fe41f7aabea9f6e1c246930567d377d84ef91ce307d0d68f26"},"schema_version":"1.0","source":{"id":"1506.07509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07509","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07509v1","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07509","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"VYUKXHW7PPSL","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VYUKXHW7PPSLQQYV","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VYUKXHW7","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:ae1d9932444ed5c2478fbcc5aabdb64bbf9dcbeb8413121cb90b177d6edbb40e","target":"graph","created_at":"2026-05-18T01:39:53Z","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":"Matrix multivariate Pearson type II-Riesz distribution is defined and some of its properties are studied. In particular, the associated matrix multivariate beta distribution type I is derived. Also the singular values and eigenvalues distributions are obtained.","authors_text":"Jose A. Diaz-Garcia, Ramon Gutierrez-Sanchez","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-24T19:39:01Z","title":"Generalised matrix multivariate Pearson type II-distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07509","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":"sha256:3594db4043b1c2f369b1dfd8799ff53b9ad4db9106cb65598f142f233c6c1e48","target":"record","created_at":"2026-05-18T01:39:53Z","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":"2060a4d2e9d603ed7c65899cf9bf219b64c2a86e73b9afe43802cf75e6969532","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-24T19:39:01Z","title_canon_sha256":"16e83314cec650fe41f7aabea9f6e1c246930567d377d84ef91ce307d0d68f26"},"schema_version":"1.0","source":{"id":"1506.07509","kind":"arxiv","version":1}},"canonical_sha256":"ae28ab9edf7be4b84315720e73ff37c62402814349a7801df4fa354b86500f88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae28ab9edf7be4b84315720e73ff37c62402814349a7801df4fa354b86500f88","first_computed_at":"2026-05-18T01:39:53.867800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:53.867800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"egsnmK+hFeuzFCoBGsWhh9Da6r5BHBGj6DVDX5hQCR5+sGdkdanacXwgO/5OBCuTCurgmIBS4Fo2PwY+I14MCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:53.868261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3594db4043b1c2f369b1dfd8799ff53b9ad4db9106cb65598f142f233c6c1e48","sha256:ae1d9932444ed5c2478fbcc5aabdb64bbf9dcbeb8413121cb90b177d6edbb40e"],"state_sha256":"ec66bb107f1d71652f40217eeb521340a1a5f95450105bacdc00d3fc38af97dd"}