{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4X7DI55YXVQRAXW2KIUDDZERY2","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":"fbfeb72b0e6dbda7edf100b18205e2cc212e561dcb0ee6c7d050c700ceb85872","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-21T20:47:27Z","title_canon_sha256":"00d6526243589797890679dfb72dd411bff679093f3950512b1279c718730197"},"schema_version":"1.0","source":{"id":"1803.08127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08127","created_at":"2026-05-17T23:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08127v2","created_at":"2026-05-17T23:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08127","created_at":"2026-05-17T23:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"4X7DI55YXVQR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4X7DI55YXVQRAXW2","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4X7DI55Y","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:551bb1cacab1d0842de8ba3aab1596c61d95f09555dc3cb1a372b3f3f1b15fa0","target":"graph","created_at":"2026-05-17T23:39:32Z","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":"Recently Burkhardt et. al. introduced the $k$-checkerboard random matrix ensembles, which have a split limiting behavior of the eigenvalues (in the limit all but $k$ of the eigenvalues are on the order of $\\sqrt{N}$ and converge to semi-circular behavior, with the remaining $k$ of size $N$ and converging to hollow Gaussian ensembles). We generalize their work to consider non-Hermitian ensembles with complex eigenvalues; instead of a blip new behavior is seen, ranging from multiple satellites to annular rings. These results are based on moment method techniques adapted to the complex plane as w","authors_text":"Eric Winsor, Jared D. Lichtman, Ryan C. Chen, Shannon Sweitzer, Steven J. Miller, Yujin H. Kim","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-21T20:47:27Z","title":"Spectral Statistics of Non-Hermitian Random Matrix Ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08127","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":"sha256:8cb4c6ceb41143a75d124befc9ddd9c9e92977c3d7484c03fedf500857426937","target":"record","created_at":"2026-05-17T23:39:32Z","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":"fbfeb72b0e6dbda7edf100b18205e2cc212e561dcb0ee6c7d050c700ceb85872","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-21T20:47:27Z","title_canon_sha256":"00d6526243589797890679dfb72dd411bff679093f3950512b1279c718730197"},"schema_version":"1.0","source":{"id":"1803.08127","kind":"arxiv","version":2}},"canonical_sha256":"e5fe3477b8bd61105eda522831e491c69e6db0e3b0cab3529007e9506ad09bf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5fe3477b8bd61105eda522831e491c69e6db0e3b0cab3529007e9506ad09bf7","first_computed_at":"2026-05-17T23:39:32.432359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:32.432359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3dfuuOI13Zh1SUu4Oc49f+b+wQTwaaS5SvgXr26B44j4aKWrRL2fQCbxNt9hyJibjvEjDXf1Op21YlqmyGoQDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:32.433043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cb4c6ceb41143a75d124befc9ddd9c9e92977c3d7484c03fedf500857426937","sha256:551bb1cacab1d0842de8ba3aab1596c61d95f09555dc3cb1a372b3f3f1b15fa0"],"state_sha256":"d39ba322c9e93bdff97be5c5b18ffd2e88583e7540d2af31639a7024893f8ec5"}