{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:NNV7ZPTGUIJIWLEULRH45ZGAM4","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":"ac6d0ec834686576cff564dd79b06fa537e0c4bf46f64125111d5abd2297b7da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2021-12-10T13:17:05Z","title_canon_sha256":"8f5133e7c972f0aee634148c1dbc3d0219324c4dab67f330ea85bc82c8272e2f"},"schema_version":"1.0","source":{"id":"2112.05506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.05506","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.05506v1","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.05506","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"NNV7ZPTGUIJI","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_16","alias_value":"NNV7ZPTGUIJIWLEU","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_8","alias_value":"NNV7ZPTG","created_at":"2026-07-05T03:39:49Z"}],"graph_snapshots":[{"event_id":"sha256:5f8a0186b8d9fcb68dfcb2efc805e437fbdd1450a338dc4d7e3ebaecfda7f379","target":"graph","created_at":"2026-07-05T03:39:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.05506/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Random Matrix theory has become a field on its own with a breadth of new results, techniques, and ideas in the last thirty years. In these proceedings of the 8ECM 2021, I illustrate some of these advances by describing what is known about the spectrum and the eigenvectors of Bernoulli matrices.","authors_text":"Alice Guionnet (CNRS, UMPA-ENSL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2021-12-10T13:17:05Z","title":"Bernoulli Random Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.05506","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":"sha256:0e3e7feea770b15e0eeed2144c87b3fb6a7811f69df9776e7378331a218d2a70","target":"record","created_at":"2026-07-05T03:39:49Z","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":"ac6d0ec834686576cff564dd79b06fa537e0c4bf46f64125111d5abd2297b7da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2021-12-10T13:17:05Z","title_canon_sha256":"8f5133e7c972f0aee634148c1dbc3d0219324c4dab67f330ea85bc82c8272e2f"},"schema_version":"1.0","source":{"id":"2112.05506","kind":"arxiv","version":1}},"canonical_sha256":"6b6bfcbe66a2128b2c945c4fcee4c067001a341f446ae85cc5c73d13245f8ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b6bfcbe66a2128b2c945c4fcee4c067001a341f446ae85cc5c73d13245f8ffa","first_computed_at":"2026-07-05T03:39:49.124599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:39:49.124599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4CE8XyZDoXNaVdVNKSoyF0e3neDQhCICKF48wdHZf/zpcbdCwI1JNTrGwfNZocIPJr7YYlW0KMlmnOlAAvPCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:39:49.125055Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.05506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e3e7feea770b15e0eeed2144c87b3fb6a7811f69df9776e7378331a218d2a70","sha256:5f8a0186b8d9fcb68dfcb2efc805e437fbdd1450a338dc4d7e3ebaecfda7f379"],"state_sha256":"613469354a97dce56896ea5e6e75a35a050efcec80aaf82a05452e055ce7fc74"}