{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:22W5TJIGZJ4BGNMD7Q2C5SQKTC","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":"9af55cf552853bef89ec5ee909b1023ca75429117a3e124f332a14322b8a824e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-28T14:29:18Z","title_canon_sha256":"00a9daa9724a9a46c5e3726f9cd36e1d0f8e834c62e07c70b3dbf52e7af812a7"},"schema_version":"1.0","source":{"id":"1107.5724","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5724","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5724v4","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5724","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"22W5TJIGZJ4B","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"22W5TJIGZJ4BGNMD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"22W5TJIG","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:8a9a323507df08d42cc389ffa304a17137be018482ca2738070f46ea2b200533","target":"graph","created_at":"2026-05-18T02:32:39Z","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":"We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average \\rho_n non-zero elements. We study asymptotic properties of the spectral norm of H on the scale n^{-2/3} in the limit when \\rho_n is of the order n^{-2/3(1+\\epsilon)} with \\epsilon >0.","authors_text":"Oleksiy Khorunzhiy","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-28T14:29:18Z","title":"On High Moments and the Spectral Norm of Large Dilute Wigner Random Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5724","kind":"arxiv","version":4},"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":"sha256:7bab232b97a5a1db03c50112f5b7aa6f7f2ee2237a310fd3bda745e3219c7e93","target":"record","created_at":"2026-05-18T02:32:39Z","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":"9af55cf552853bef89ec5ee909b1023ca75429117a3e124f332a14322b8a824e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-28T14:29:18Z","title_canon_sha256":"00a9daa9724a9a46c5e3726f9cd36e1d0f8e834c62e07c70b3dbf52e7af812a7"},"schema_version":"1.0","source":{"id":"1107.5724","kind":"arxiv","version":4}},"canonical_sha256":"d6add9a506ca78133583fc342eca0a989d6861d47db09eed181980f6bb391a90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6add9a506ca78133583fc342eca0a989d6861d47db09eed181980f6bb391a90","first_computed_at":"2026-05-18T02:32:39.354538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:39.354538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gbqAJEtz+4DU64VJAhdUyk+q68ti0ZfXoJAFV9mYZuKHcyM8EHpG7FL5uN1/y3CstrwfCvTlrsv5AaUlXZ2ZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:39.354939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5724","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bab232b97a5a1db03c50112f5b7aa6f7f2ee2237a310fd3bda745e3219c7e93","sha256:8a9a323507df08d42cc389ffa304a17137be018482ca2738070f46ea2b200533"],"state_sha256":"fdc295337d620508e6e48b7c2b252ef17b14679888cc3dfcad73276621430183"}