{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ARGEL3IT6XIH2RCZO2CK7HCZGW","short_pith_number":"pith:ARGEL3IT","schema_version":"1.0","canonical_sha256":"044c45ed13f5d07d44597684af9c5935840a960e2e3ae1c8ccfce44c35cd80fb","source":{"kind":"arxiv","id":"2605.20700","version":1},"attestation_state":"computed","paper":{"title":"The maximum of a strongly correlated Gaussian process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jason Li, Stephen Muirhead","submitted_at":"2026-05-20T04:55:10Z","abstract_excerpt":"We revisit a result of Mittal--Ylvisaker that states that the rescaled maximum of a stationary sequence of Gaussian random variables has a Gaussian limit if correlations decay sufficiently slowly. Taking a new approach we relax the conditions for the Gaussian limit and give an extension to smooth non-stationary random fields."},"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":"2605.20700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-20T04:55:10Z","cross_cats_sorted":[],"title_canon_sha256":"808c68fe94f3d2d28b6ed2a859e0e89ce76b5cf09597cf2d484a3b8768cfda03","abstract_canon_sha256":"bfd37935a7abe34ae926f60621a14fd706625d5a286e846ca71508f04ca024bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:49.848545Z","signature_b64":"bJTqAlwRhPrWRZkfqOgktSl4pGOWET26YkvU/7SQAqZ29jbO18oADlDjNdcbgshGpDFdP4CiKvk4hXxxfqXnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"044c45ed13f5d07d44597684af9c5935840a960e2e3ae1c8ccfce44c35cd80fb","last_reissued_at":"2026-05-21T01:04:49.847869Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:49.847869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The maximum of a strongly correlated Gaussian process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jason Li, Stephen Muirhead","submitted_at":"2026-05-20T04:55:10Z","abstract_excerpt":"We revisit a result of Mittal--Ylvisaker that states that the rescaled maximum of a stationary sequence of Gaussian random variables has a Gaussian limit if correlations decay sufficiently slowly. Taking a new approach we relax the conditions for the Gaussian limit and give an extension to smooth non-stationary random fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20700","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.20700/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.20700","created_at":"2026-05-21T01:04:49.847977+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.20700v1","created_at":"2026-05-21T01:04:49.847977+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20700","created_at":"2026-05-21T01:04:49.847977+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARGEL3IT6XIH","created_at":"2026-05-21T01:04:49.847977+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARGEL3IT6XIH2RCZ","created_at":"2026-05-21T01:04:49.847977+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARGEL3IT","created_at":"2026-05-21T01:04:49.847977+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW","json":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW.json","graph_json":"https://pith.science/api/pith-number/ARGEL3IT6XIH2RCZO2CK7HCZGW/graph.json","events_json":"https://pith.science/api/pith-number/ARGEL3IT6XIH2RCZO2CK7HCZGW/events.json","paper":"https://pith.science/paper/ARGEL3IT"},"agent_actions":{"view_html":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW","download_json":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW.json","view_paper":"https://pith.science/paper/ARGEL3IT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.20700&json=true","fetch_graph":"https://pith.science/api/pith-number/ARGEL3IT6XIH2RCZO2CK7HCZGW/graph.json","fetch_events":"https://pith.science/api/pith-number/ARGEL3IT6XIH2RCZO2CK7HCZGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW/action/storage_attestation","attest_author":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW/action/author_attestation","sign_citation":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW/action/citation_signature","submit_replication":"https://pith.science/pith/ARGEL3IT6XIH2RCZO2CK7HCZGW/action/replication_record"}},"created_at":"2026-05-21T01:04:49.847977+00:00","updated_at":"2026-05-21T01:04:49.847977+00:00"}