{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KPKX6SLDNTMNNZSFIYQ2OSPVMV","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":"01a97909fc9a27c0dbe47b8f5d9e407a5a5ec748091e25fc40af0c56f1d5a752","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-19T16:04:07Z","title_canon_sha256":"aba87b9ec50a5bdc7a0c0e655b9eefb8d5143568d9dd5f1b2d248fe070c0722b"},"schema_version":"1.0","source":{"id":"1505.05061","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05061","created_at":"2026-05-18T01:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05061v2","created_at":"2026-05-18T01:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05061","created_at":"2026-05-18T01:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"KPKX6SLDNTMN","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KPKX6SLDNTMNNZSF","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KPKX6SLD","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:02f70e170268a04e92c319ddc057c6ba060b0aa9fa3505ed3be975fe478c0592","target":"graph","created_at":"2026-05-18T01:08:35Z","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 introduce a time-integrator to sample with high order of accuracy the invariant distribution for a class of semilinear SPDEs driven by an additive space-time noise. Combined with a postprocessor, the new method is a modification with negligible overhead of the standard linearized implicit Euler-Maruyama method. We first provide an analysis of the integrator when applied for SDEs (finite dimension), where we prove that the method has order $2$ for the approximation of the invariant distribution, instead of $1$. We then perform a stability analysis of the integrator in the semilinear SPDE con","authors_text":"Charles-Edouard Br\\'ehier, Gilles Vilmart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-19T16:04:07Z","title":"High-order integrator for sampling the invariant distribution of a class of parabolic SPDEs with additive space-time noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05061","kind":"arxiv","version":2},"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:e61bf38abd188b8e373f893062efda4dab177993d7cc16f3a94b6ded7d652d64","target":"record","created_at":"2026-05-18T01:08:35Z","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":"01a97909fc9a27c0dbe47b8f5d9e407a5a5ec748091e25fc40af0c56f1d5a752","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-19T16:04:07Z","title_canon_sha256":"aba87b9ec50a5bdc7a0c0e655b9eefb8d5143568d9dd5f1b2d248fe070c0722b"},"schema_version":"1.0","source":{"id":"1505.05061","kind":"arxiv","version":2}},"canonical_sha256":"53d57f49636cd8d6e6454621a749f56565e8cccea475a62e623403cfab716054","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53d57f49636cd8d6e6454621a749f56565e8cccea475a62e623403cfab716054","first_computed_at":"2026-05-18T01:08:35.829222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:35.829222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4YtEn2jWv9amuDCfoR4j09DzVTCxgzuNVdBMDxlOU3reR3Ezhb/DBjK/dPg4aalosBPJs/2eR930y3GKfuaXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:35.829731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05061","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e61bf38abd188b8e373f893062efda4dab177993d7cc16f3a94b6ded7d652d64","sha256:02f70e170268a04e92c319ddc057c6ba060b0aa9fa3505ed3be975fe478c0592"],"state_sha256":"4daa67d6d578b2459c13bda756e9199054bf4f564b6b8826752995976afb79c1"}