{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XOII3UFOMCRA3U65UEW3PIE3VT","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":"5689305c1c35a37bc031729bef26caa10f339270c6e896e7b43360a7f1f50357","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-18T11:41:20Z","title_canon_sha256":"4667bca1b2db071fcb550673c04baaed05a9b680e162fe593a4cacba95574003"},"schema_version":"1.0","source":{"id":"1603.05849","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05849","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05849v2","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05849","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"pith_short_12","alias_value":"XOII3UFOMCRA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XOII3UFOMCRA3U65","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XOII3UFO","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:a087928d07f2c62748f3b1300b026e0dceb98106fedc314fbc61766d3cd8372d","target":"graph","created_at":"2026-05-17T23:46:36Z","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":"Let $\\sqrt{N}+\\lambda_{max}$ be the largest real eigenvalue of a random $N\\times N$ matrix with independent $N(0,1)$ entries (the `real Ginibre matrix'). We study the large deviations behaviour of the limiting $N\\rightarrow \\infty$ distribution $P[\\lambda_{max}<t]$ of the shifted maximal real eigenvalue $\\lambda_{max}$. In particular, we prove that the right tail of this distribution is Gaussian: for $t>0$, \\[ P[\\lambda_{max}<t]=1-\\frac{1}{4}\\mbox{erfc}(t)+O\\left(e^{-2t^2}\\right). \\] This is a rigorous confirmation of the corresponding result of Forrester and Nagao. We also prove that the left","authors_text":"M. Poplavskyi, Oleg Zaboronski, Roger Tribe","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-18T11:41:20Z","title":"On the distribution of the largest real eigenvalue for the real Ginibre ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05849","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":"sha256:0a7e6888d2cbec7e92709c53e33e67e3675eba276d0322c5a8e8b16a4323ad55","target":"record","created_at":"2026-05-17T23:46:36Z","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":"5689305c1c35a37bc031729bef26caa10f339270c6e896e7b43360a7f1f50357","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-18T11:41:20Z","title_canon_sha256":"4667bca1b2db071fcb550673c04baaed05a9b680e162fe593a4cacba95574003"},"schema_version":"1.0","source":{"id":"1603.05849","kind":"arxiv","version":2}},"canonical_sha256":"bb908dd0ae60a20dd3dda12db7a09bacfdaca1643187e18105ec8c37e6b23016","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb908dd0ae60a20dd3dda12db7a09bacfdaca1643187e18105ec8c37e6b23016","first_computed_at":"2026-05-17T23:46:36.633387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:36.633387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tsHvrNw5Znoqvr6VMik+qDmb/2JFhr1nxXQ7cyMhNyiik0IZX52UZPQMnmEZ36sCrGSWFEic1IIv1sPvlBLqAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:36.634025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05849","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a7e6888d2cbec7e92709c53e33e67e3675eba276d0322c5a8e8b16a4323ad55","sha256:a087928d07f2c62748f3b1300b026e0dceb98106fedc314fbc61766d3cd8372d"],"state_sha256":"e0cd7465c1839a2d66e181a1532a571f4ac9f0fef4f23eedda68698b2961d91d"}