{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PTVPV4VGLCOQHKF264WZTT2CLC","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":"29201b7c213f1916c72c170e2407244f30bdcc34df3e6a7a9b2f9fb9fb6fe137","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-10-11T17:56:36Z","title_canon_sha256":"2e9beb49d3462a0cfb0669906a7f50f182f5c6f4c26f24ee082fa8c4eeccb9dc"},"schema_version":"1.0","source":{"id":"1910.05333","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.05333","created_at":"2026-07-05T02:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1910.05333v4","created_at":"2026-07-05T02:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.05333","created_at":"2026-07-05T02:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"PTVPV4VGLCOQ","created_at":"2026-07-05T02:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"PTVPV4VGLCOQHKF2","created_at":"2026-07-05T02:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"PTVPV4VG","created_at":"2026-07-05T02:05:37Z"}],"graph_snapshots":[{"event_id":"sha256:141e6118a6c5c4678d575df9e0c5d51042d054016922a1b6cca845d58493b672","target":"graph","created_at":"2026-07-05T02:05:37Z","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/1910.05333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study some SDEs derived from the $q\\to 1$ limit of a 2D surface growth model called the $q$-Whittaker process. The fluctuations are proven to exhibit Gaussian characteristics that \"come down from infinity\": After rescaling and re-centering, convergence to the time-inverted stationary additive stochastic heat equation holds. The point of view in this paper is a probabilistic representation of the SDEs by independent sums. By this connection, the normal and Poisson approximations and the in-between slow decorrelation, all in particular integrated forms, explain the convergence of the re-cente","authors_text":"Yu-Ting Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-10-11T17:56:36Z","title":"Convergence of the rescaled Whittaker stochastic differential equations and independent sums"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.05333","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:c96b22d2f223657292d4f853b9e678be2d7789851383ef24e8c5658461402f05","target":"record","created_at":"2026-07-05T02:05:37Z","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":"29201b7c213f1916c72c170e2407244f30bdcc34df3e6a7a9b2f9fb9fb6fe137","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-10-11T17:56:36Z","title_canon_sha256":"2e9beb49d3462a0cfb0669906a7f50f182f5c6f4c26f24ee082fa8c4eeccb9dc"},"schema_version":"1.0","source":{"id":"1910.05333","kind":"arxiv","version":4}},"canonical_sha256":"7ceafaf2a6589d03a8baf72d99cf4258aad4eb6c8c83839884e96f33318708b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ceafaf2a6589d03a8baf72d99cf4258aad4eb6c8c83839884e96f33318708b1","first_computed_at":"2026-07-05T02:05:37.777703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:05:37.777703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9HpNbrAqslO3Ua+YyQ0FKmjiHyzjKZDFGnFlXo0q+5Y14cP1pbYvf6YqcNqBl5nAeoWH6aAvySRmt05R6ltmAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:05:37.778174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.05333","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c96b22d2f223657292d4f853b9e678be2d7789851383ef24e8c5658461402f05","sha256:141e6118a6c5c4678d575df9e0c5d51042d054016922a1b6cca845d58493b672"],"state_sha256":"e244b025d0d95c7d19b9832dab5c1248b5a377a3085cfd5f0ef1f26367ba6a26"}