{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HEAHXHBAEUJYY57YOEP2HWQGPU","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":"a28aa4b0556b4fdfb58343771beb2d2ad7e92ecfb97492e540aacfa6fafac911","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:47:03Z","title_canon_sha256":"15f2c9f432ddc9c2ae23804dc73130c1c13c172b489190865e08aeada51f8bd0"},"schema_version":"1.0","source":{"id":"1403.7250","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7250","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7250v2","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7250","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"HEAHXHBAEUJY","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HEAHXHBAEUJYY57Y","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HEAHXHBA","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:2ddc6b081de3a535d80ea4673f486d844228e107f70aafdc8d37d55579ba125d","target":"graph","created_at":"2026-05-18T02:33:07Z","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 study {the} complex eigenvalues of the Wishart model defined for nonsymmetric correlation matrices. The model is defined for two statistically equivalent but different Gaussian real matrices, as $\\mathsf{C}=\\mathsf{AB}^{t}/T$, where $\\mathsf{B}^{t}$ is the transpose of $\\mathsf{B}$ and both matrices $\\mathsf{A}$ and $\\mathsf{B}$ are of dimension $N\\times T$. We consider {\\it actual} correlations between the matrices so that on the ensemble average $\\mathsf{C}$ does not vanish. We derive a loop equation for the spectral density of $\\mathsf{C}$ in {the} large $N$ and $T$ limit where the ratio","authors_text":"Luis Benet, Vinayak","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:47:03Z","title":"Spectral Domain of Large Nonsymmetric Correlated Wishart Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7250","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":"sha256:7eb72b1a27a61d1eee7d7a9f8d7719dd5d4ebc60b3db5bf8d525288317400e2c","target":"record","created_at":"2026-05-18T02:33:07Z","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":"a28aa4b0556b4fdfb58343771beb2d2ad7e92ecfb97492e540aacfa6fafac911","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:47:03Z","title_canon_sha256":"15f2c9f432ddc9c2ae23804dc73130c1c13c172b489190865e08aeada51f8bd0"},"schema_version":"1.0","source":{"id":"1403.7250","kind":"arxiv","version":2}},"canonical_sha256":"39007b9c2025138c77f8711fa3da067d366e3e80a1db2f7a7a4a2ac087295005","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39007b9c2025138c77f8711fa3da067d366e3e80a1db2f7a7a4a2ac087295005","first_computed_at":"2026-05-18T02:33:07.672066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:07.672066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+XymAjz6bBSsTWhkU87ZDrFMEq2t7OWcyfSN0RF5tetOFjPWHbdnUBV/Ef1tJlV6pApQSGR3jitemHOuQIkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:07.672622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7250","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7eb72b1a27a61d1eee7d7a9f8d7719dd5d4ebc60b3db5bf8d525288317400e2c","sha256:2ddc6b081de3a535d80ea4673f486d844228e107f70aafdc8d37d55579ba125d"],"state_sha256":"b72ca93f8a7d440bf3e4f384f174142688281a74f18c64110a70971555bf671d"}