{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5WAZYRKYSZAEPYARRDTLBT6C5Y","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":"93f77b5f2e067081cac2b12439e64232a61e0ae5cfb74ccdc9f9cc42db34ae08","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-11T13:35:53Z","title_canon_sha256":"8b61a329323e902000564f0be0aea5da4b10a404ba05856dc610ea5dae1bdfdc"},"schema_version":"1.0","source":{"id":"1701.02966","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02966","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02966v1","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02966","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"5WAZYRKYSZAE","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5WAZYRKYSZAEPYAR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5WAZYRKY","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:bea8c94dcbfd9aa6048bb8ec1753a93f1e9008c3ccede43c319c2f8b11ad2466","target":"graph","created_at":"2026-05-18T00:52:59Z","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 present an adaptation of Stein's method of normal approximation to the study of both discrete- and continuous-time dynamical systems. We obtain new correlation-decay conditions on dynamical systems for a multivariate central limit theorem augmented by a rate of convergence. We then present a scheme for checking these conditions in actual examples. The principal contribution of our paper is the method, which yields a convergence rate essentially with the same amount of work as the central limit theorem, together with a multiplicative constant that can be computed directly from the assumption","authors_text":"Juho Lepp\\\"anen, Mikko Stenlund, Olli Hella","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-11T13:35:53Z","title":"Stein's method for dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02966","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":"sha256:248ab98a6c29f434381c96128bcb6921193bd41e270ae0166a3900c756bf3228","target":"record","created_at":"2026-05-18T00:52:59Z","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":"93f77b5f2e067081cac2b12439e64232a61e0ae5cfb74ccdc9f9cc42db34ae08","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-11T13:35:53Z","title_canon_sha256":"8b61a329323e902000564f0be0aea5da4b10a404ba05856dc610ea5dae1bdfdc"},"schema_version":"1.0","source":{"id":"1701.02966","kind":"arxiv","version":1}},"canonical_sha256":"ed819c4558964047e01188e6b0cfc2ee20556a5babab48e60f1fc02120ce5785","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed819c4558964047e01188e6b0cfc2ee20556a5babab48e60f1fc02120ce5785","first_computed_at":"2026-05-18T00:52:59.693256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:59.693256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"49f4c/wsXcUPTeU4B4ORm70acy8sNt94DLkWX2AiZVMP/M2GH738CBL4OU4i7/osQ1eD/7bNWiGsDGtu4yNYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:59.693864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02966","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:248ab98a6c29f434381c96128bcb6921193bd41e270ae0166a3900c756bf3228","sha256:bea8c94dcbfd9aa6048bb8ec1753a93f1e9008c3ccede43c319c2f8b11ad2466"],"state_sha256":"f2cff104d1965b55f13dd2d6bf49c40940a720b5ba99f58aa53e41066bcf3ea8"}