{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZGXLOII3ORZHF3LRTBFNXLIFOC","short_pith_number":"pith:ZGXLOII3","schema_version":"1.0","canonical_sha256":"c9aeb7211b747272ed71984adbad05708c214b8f41c7e39b9618125ec4f584e5","source":{"kind":"arxiv","id":"1801.02574","version":2},"attestation_state":"computed","paper":{"title":"The KPZ equation and moments of random matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.PR","authors_text":"Sasha Sodin, Vadim Gorin","submitted_at":"2018-01-08T17:29:23Z","abstract_excerpt":"The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole-Hopf solution of the Kardar-Parisi-Zhang equation in the sense of one-point distributions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1801.02574","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-08T17:29:23Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"723c6ef84c00fd41d5bf486466ccce1019cf3c3946a45b0650a39518543d4387","abstract_canon_sha256":"00e49eddb77d02b199e55ec4a3d5d5512b5c91e42c0fb35e9a73b48d919d50fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:25.136412Z","signature_b64":"ElK/OmPRGUQdTIPLrkGPAhFQQ0q+uVha0AToue0CplYiUZGjqZcHcvFQ1DpS+Rq7zPGY2o3UUTgO/9TZl7TpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9aeb7211b747272ed71984adbad05708c214b8f41c7e39b9618125ec4f584e5","last_reissued_at":"2026-05-17T23:58:25.135640Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:25.135640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The KPZ equation and moments of random matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.PR","authors_text":"Sasha Sodin, Vadim Gorin","submitted_at":"2018-01-08T17:29:23Z","abstract_excerpt":"The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole-Hopf solution of the Kardar-Parisi-Zhang equation in the sense of one-point distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02574","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1801.02574","created_at":"2026-05-17T23:58:25.135761+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.02574v2","created_at":"2026-05-17T23:58:25.135761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02574","created_at":"2026-05-17T23:58:25.135761+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZGXLOII3ORZH","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZGXLOII3ORZHF3LR","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZGXLOII3","created_at":"2026-05-18T12:33:07.085635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.14433","citing_title":"The Tracy-Widom distribution at large Dyson index","ref_index":62,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC","json":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC.json","graph_json":"https://pith.science/api/pith-number/ZGXLOII3ORZHF3LRTBFNXLIFOC/graph.json","events_json":"https://pith.science/api/pith-number/ZGXLOII3ORZHF3LRTBFNXLIFOC/events.json","paper":"https://pith.science/paper/ZGXLOII3"},"agent_actions":{"view_html":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC","download_json":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC.json","view_paper":"https://pith.science/paper/ZGXLOII3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.02574&json=true","fetch_graph":"https://pith.science/api/pith-number/ZGXLOII3ORZHF3LRTBFNXLIFOC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZGXLOII3ORZHF3LRTBFNXLIFOC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC/action/storage_attestation","attest_author":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC/action/author_attestation","sign_citation":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC/action/citation_signature","submit_replication":"https://pith.science/pith/ZGXLOII3ORZHF3LRTBFNXLIFOC/action/replication_record"}},"created_at":"2026-05-17T23:58:25.135761+00:00","updated_at":"2026-05-17T23:58:25.135761+00:00"}