{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ABJT5M6ALERR7GPRY55FZVWIA2","short_pith_number":"pith:ABJT5M6A","canonical_record":{"source":{"id":"1805.08993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-23T07:49:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5c6299206a3b2436e34045ffd77ebd6495822cff9c9bb0b772a344cc9794828f","abstract_canon_sha256":"96e27bd4da688da03d486f18ea65eec2693c10933c3e412c77a4fc03cea68fd1"},"schema_version":"1.0"},"canonical_sha256":"00533eb3c059231f99f1c77a5cd6c8069794a76672b395e42c3bf48c9a47b4c7","source":{"kind":"arxiv","id":"1805.08993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08993","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08993v1","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08993","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"pith_short_12","alias_value":"ABJT5M6ALERR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABJT5M6ALERR7GPR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABJT5M6A","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ABJT5M6ALERR7GPRY55FZVWIA2","target":"record","payload":{"canonical_record":{"source":{"id":"1805.08993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-23T07:49:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5c6299206a3b2436e34045ffd77ebd6495822cff9c9bb0b772a344cc9794828f","abstract_canon_sha256":"96e27bd4da688da03d486f18ea65eec2693c10933c3e412c77a4fc03cea68fd1"},"schema_version":"1.0"},"canonical_sha256":"00533eb3c059231f99f1c77a5cd6c8069794a76672b395e42c3bf48c9a47b4c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:08.842886Z","signature_b64":"4VzPmhHUOYJFMfPLZA8s52kh7v3p+2JUrH5I99Qilrc30MYFlE4nZpbsr0Ts1i/MAzaD6G5rJs5Nl7+d8VoIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00533eb3c059231f99f1c77a5cd6c8069794a76672b395e42c3bf48c9a47b4c7","last_reissued_at":"2026-05-18T00:15:08.842480Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:08.842480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.08993","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FD0e2+ZSZ2HoBabEeaPB4/rAtdzpzOBXRHBAiMYAQmZWSaNih4NlwSWbcbRYxS+J3cpHPmHrtOLSifZGWUO8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T17:38:23.740195Z"},"content_sha256":"e2b944d8cb8589bcb5bbd084e26916188b51657f0e6cf10b610a1bfbe126cd36","schema_version":"1.0","event_id":"sha256:e2b944d8cb8589bcb5bbd084e26916188b51657f0e6cf10b610a1bfbe126cd36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ABJT5M6ALERR7GPRY55FZVWIA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eigenvector correlations in the complex Ginibre ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Nicholas Crawford, Ron Rosenthal","submitted_at":"2018-05-23T07:49:54Z","abstract_excerpt":"The complex Ginibre ensemble is an $N\\times N$ non-Hermitian random matrix over $\\mathbb{C}$ with i.i.d. complex Gaussian entries normalized to have mean zero and variance $1/N$. Unlike the Gaussian unitary ensemble, for which the eigenvectors are distributed according to Haar measure on the compact group $U(N)$, independently of the eigenvalues, the geometry of the eigenbases of the Ginibre ensemble are not particularly well understood. In this paper we systematically study properties of eigenvector correlations in this matrix ensemble. In particular, we uncover an extended algebraic structur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08993","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o8Ibn7MQRAid3vWCA6Uhaa8biqnFDO81wHygmH7eh8zdAtyPUBLK2duhqHQ0LNNVVCu86YTuQZbznUXBna/ABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T17:38:23.740870Z"},"content_sha256":"61e443e079b08f1e8adfd78e8bb07055745fcfcc1b9bf84a281df1a27cc442cb","schema_version":"1.0","event_id":"sha256:61e443e079b08f1e8adfd78e8bb07055745fcfcc1b9bf84a281df1a27cc442cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABJT5M6ALERR7GPRY55FZVWIA2/bundle.json","state_url":"https://pith.science/pith/ABJT5M6ALERR7GPRY55FZVWIA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABJT5M6ALERR7GPRY55FZVWIA2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-18T17:38:23Z","links":{"resolver":"https://pith.science/pith/ABJT5M6ALERR7GPRY55FZVWIA2","bundle":"https://pith.science/pith/ABJT5M6ALERR7GPRY55FZVWIA2/bundle.json","state":"https://pith.science/pith/ABJT5M6ALERR7GPRY55FZVWIA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABJT5M6ALERR7GPRY55FZVWIA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ABJT5M6ALERR7GPRY55FZVWIA2","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":"96e27bd4da688da03d486f18ea65eec2693c10933c3e412c77a4fc03cea68fd1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-23T07:49:54Z","title_canon_sha256":"5c6299206a3b2436e34045ffd77ebd6495822cff9c9bb0b772a344cc9794828f"},"schema_version":"1.0","source":{"id":"1805.08993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08993","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08993v1","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08993","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"pith_short_12","alias_value":"ABJT5M6ALERR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABJT5M6ALERR7GPR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABJT5M6A","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:61e443e079b08f1e8adfd78e8bb07055745fcfcc1b9bf84a281df1a27cc442cb","target":"graph","created_at":"2026-05-18T00:15:08Z","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 Ginibre ensemble is an $N\\times N$ non-Hermitian random matrix over $\\mathbb{C}$ with i.i.d. complex Gaussian entries normalized to have mean zero and variance $1/N$. Unlike the Gaussian unitary ensemble, for which the eigenvectors are distributed according to Haar measure on the compact group $U(N)$, independently of the eigenvalues, the geometry of the eigenbases of the Ginibre ensemble are not particularly well understood. In this paper we systematically study properties of eigenvector correlations in this matrix ensemble. In particular, we uncover an extended algebraic structur","authors_text":"Nicholas Crawford, Ron Rosenthal","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-23T07:49:54Z","title":"Eigenvector correlations in the complex Ginibre ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08993","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:e2b944d8cb8589bcb5bbd084e26916188b51657f0e6cf10b610a1bfbe126cd36","target":"record","created_at":"2026-05-18T00:15:08Z","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":"96e27bd4da688da03d486f18ea65eec2693c10933c3e412c77a4fc03cea68fd1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-23T07:49:54Z","title_canon_sha256":"5c6299206a3b2436e34045ffd77ebd6495822cff9c9bb0b772a344cc9794828f"},"schema_version":"1.0","source":{"id":"1805.08993","kind":"arxiv","version":1}},"canonical_sha256":"00533eb3c059231f99f1c77a5cd6c8069794a76672b395e42c3bf48c9a47b4c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00533eb3c059231f99f1c77a5cd6c8069794a76672b395e42c3bf48c9a47b4c7","first_computed_at":"2026-05-18T00:15:08.842480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:08.842480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VzPmhHUOYJFMfPLZA8s52kh7v3p+2JUrH5I99Qilrc30MYFlE4nZpbsr0Ts1i/MAzaD6G5rJs5Nl7+d8VoIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:08.842886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2b944d8cb8589bcb5bbd084e26916188b51657f0e6cf10b610a1bfbe126cd36","sha256:61e443e079b08f1e8adfd78e8bb07055745fcfcc1b9bf84a281df1a27cc442cb"],"state_sha256":"68d687ddb3e511a2bfe78ceba8f4fcf3dce3a7ff5d98e4137fc019ef6664f616"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kg33cX8Dm4O26V9fp16RztmECdXdDKNj9G//1zqlP+LIsIMtUapqqGwsNXr76uN5L93DKiomVZeOMxmlKcgaBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T17:38:23.742704Z","bundle_sha256":"171eee280f28594ced54935348da57a6071bfd4c42248ff0b85c0ed18217ec71"}}