{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WYLEYUAV3P33FKIG7DV2UWR2IG","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":"fb14ab5aa92a83ed51ef2b426b53646cccf3e1436f9835263a5693612c72be02","cross_cats_sorted":["cs.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-09-20T18:11:12Z","title_canon_sha256":"a72ba1198861dc4e5346502fb23d592cd7b61ecf8479a2f3373255e0bf2b4941"},"schema_version":"1.0","source":{"id":"2409.13827","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.13827","created_at":"2026-07-05T09:36:14Z"},{"alias_kind":"arxiv_version","alias_value":"2409.13827v1","created_at":"2026-07-05T09:36:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13827","created_at":"2026-07-05T09:36:14Z"},{"alias_kind":"pith_short_12","alias_value":"WYLEYUAV3P33","created_at":"2026-07-05T09:36:14Z"},{"alias_kind":"pith_short_16","alias_value":"WYLEYUAV3P33FKIG","created_at":"2026-07-05T09:36:14Z"},{"alias_kind":"pith_short_8","alias_value":"WYLEYUAV","created_at":"2026-07-05T09:36:14Z"}],"graph_snapshots":[{"event_id":"sha256:fb055d07351cccd93a770f5e6d50d051fbb2136f3739adabbf15470c5d56dab2","target":"graph","created_at":"2026-07-05T09:36:14Z","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/2409.13827/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The asymptotic error distribution of numerical methods applied to stochastic ordinary differential equations has been well studied, which characterizes the evolution pattern of the error distribution in the small step-size regime. It is still open for stochastic partial differential equations whether the normalized error process of numerical methods admits a nontrivial limit distribution. We answer this question by presenting the asymptotic error distribution of the temporal accelerated exponential Euler (AEE) method when applied to parabolic stochastic partial differential equations. In order","authors_text":"Diancong Jin, Guanlin Yang, Jialin Hong, Xu Wang","cross_cats":["cs.NA","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-09-20T18:11:12Z","title":"Asymptotic error distribution of accelerated exponential Euler method for parabolic SPDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13827","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":"sha256:68889c113e79edf2dcce2afb80e779e6e8b6d9bcce19c7bfdd3b5c8e5eef1423","target":"record","created_at":"2026-07-05T09:36:14Z","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":"fb14ab5aa92a83ed51ef2b426b53646cccf3e1436f9835263a5693612c72be02","cross_cats_sorted":["cs.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-09-20T18:11:12Z","title_canon_sha256":"a72ba1198861dc4e5346502fb23d592cd7b61ecf8479a2f3373255e0bf2b4941"},"schema_version":"1.0","source":{"id":"2409.13827","kind":"arxiv","version":1}},"canonical_sha256":"b6164c5015dbf7b2a906f8ebaa5a3a419c9f211d553cd5c11adf5ba213e88c85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6164c5015dbf7b2a906f8ebaa5a3a419c9f211d553cd5c11adf5ba213e88c85","first_computed_at":"2026-07-05T09:36:14.767307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:14.767307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7wsmSGuzPQXi5igPjGCeupMvsrx7HBm+JzRWMSYFDS+tJyeQPCXQamipw2QNE+0IVtg2MdTeg2ohsZx2IUD+CA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:14.767850Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.13827","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68889c113e79edf2dcce2afb80e779e6e8b6d9bcce19c7bfdd3b5c8e5eef1423","sha256:fb055d07351cccd93a770f5e6d50d051fbb2136f3739adabbf15470c5d56dab2"],"state_sha256":"45220b51467902bc8dc7efb067af5a569e09eb60a56a899b367d3ebcc2b415d7"}