{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5N6XHE2RO3XTQLDN23WQIPZK2R","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":"0fa176d2afd3eeb0865f6d5189a65de3263571b98fd8f95314ae0035cfdd014d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-08T14:42:05Z","title_canon_sha256":"712de8be47dc86be6edf9b8fd3eec940415b916e6d388e90d6614a419c764869"},"schema_version":"1.0","source":{"id":"1807.02833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02833","created_at":"2026-05-17T23:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02833v2","created_at":"2026-05-17T23:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02833","created_at":"2026-05-17T23:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"5N6XHE2RO3XT","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5N6XHE2RO3XTQLDN","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5N6XHE2R","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:34629dee9397b7853d208ca8946a00a91e1c1021d67159b22575cde488c52c93","target":"graph","created_at":"2026-05-17T23:39:33Z","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":"The complex elliptic Ginibre ensemble with coupling $\\tau$ is a complex Gaussian matrix interpolating between the Gaussian Unitary Ensemble (GUE) and the Ginibre ensemble. It has been known for some time that its eigenvalues form a determinantal point process in the complex plane. A recent result of Kanazawa and Kieburg (arXiv:1804.03985) shows that the singular values form a Pfaffian point process. In this paper we turn to consider an extended elliptic Ginibre ensemble, which connects the GUE and the spiked Wishart matrix, and prove that the singular values still build a Pfaffian point proces","authors_text":"Dang-Zheng Liu, Yanhui Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-08T14:42:05Z","title":"Singular Value Statistics for the Spiked Elliptic Ginibre Ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02833","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":"sha256:12ce5e6e1c04d9345b166e86cf2045b6275e7eb5ab3d0d2d16de73d46c935956","target":"record","created_at":"2026-05-17T23:39:33Z","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":"0fa176d2afd3eeb0865f6d5189a65de3263571b98fd8f95314ae0035cfdd014d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-07-08T14:42:05Z","title_canon_sha256":"712de8be47dc86be6edf9b8fd3eec940415b916e6d388e90d6614a419c764869"},"schema_version":"1.0","source":{"id":"1807.02833","kind":"arxiv","version":2}},"canonical_sha256":"eb7d73935176ef382c6dd6ed043f2ad46ca0644ab85447ba9f2972d7e2a92555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb7d73935176ef382c6dd6ed043f2ad46ca0644ab85447ba9f2972d7e2a92555","first_computed_at":"2026-05-17T23:39:33.384740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:33.384740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"47ykxOTg1HqKJo40GPRYkztdk58mzGbjWdRMWmFWTx8s+mjXcvTMgwDU8tpgvFznJsqfMUpxqQR6jD8iFJAyBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:33.385378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12ce5e6e1c04d9345b166e86cf2045b6275e7eb5ab3d0d2d16de73d46c935956","sha256:34629dee9397b7853d208ca8946a00a91e1c1021d67159b22575cde488c52c93"],"state_sha256":"85f19a25926504f0bb5a5fc4f870336943b59c23cbbf7d57acca70a76d1398d2"}