{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RN3GG2TST2OKRHLU5WXGFOTJ6N","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":"6ee232018d84e8605339efc77d54d095575d17bc22de2ed6076fef8fae43801a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-21T07:20:35Z","title_canon_sha256":"d53760098637dfa15d99ea06c0ecd240b02b9958a0f1bd339d58718d4e648025"},"schema_version":"1.0","source":{"id":"1802.07448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07448","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07448v1","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07448","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"RN3GG2TST2OK","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RN3GG2TST2OKRHLU","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RN3GG2TS","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:a1524155ce2f8da1bb45ed35d6d0224c94b4ca870efcc41dfd227d8cfeb3d7f1","target":"graph","created_at":"2026-05-18T00:22:50Z","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 study a Edgeworth-type refinement of the central limit theorem for the discretizacion error of It\\^o integrals. Towards this end, we introduce a new approach, based on the anticipating It\\^o formula. This alternative technique allows us to compute explicitly the terms of the corresponding expansion formula.","authors_text":"Elisa Al\\`os, Masaaki Fukasawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-21T07:20:35Z","title":"The asymptotic expansion of the regular discretization error of It\\^o integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07448","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":"sha256:6c81842e0a01c37d120264cc14529981ccbc62a4c8bf66547b799dee5970cd7e","target":"record","created_at":"2026-05-18T00:22:50Z","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":"6ee232018d84e8605339efc77d54d095575d17bc22de2ed6076fef8fae43801a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-21T07:20:35Z","title_canon_sha256":"d53760098637dfa15d99ea06c0ecd240b02b9958a0f1bd339d58718d4e648025"},"schema_version":"1.0","source":{"id":"1802.07448","kind":"arxiv","version":1}},"canonical_sha256":"8b76636a729e9ca89d74edae62ba69f35a946969b8fb0606770f61e98913815d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b76636a729e9ca89d74edae62ba69f35a946969b8fb0606770f61e98913815d","first_computed_at":"2026-05-18T00:22:50.244621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:50.244621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/2740U5/0YiEvyaOYTLa05C/kTG4mVjDnwiTiViur6542XNuGtqcGbfiYYKqkQK+rZeW1VJ+63CYtPNTw9JoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:50.245134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c81842e0a01c37d120264cc14529981ccbc62a4c8bf66547b799dee5970cd7e","sha256:a1524155ce2f8da1bb45ed35d6d0224c94b4ca870efcc41dfd227d8cfeb3d7f1"],"state_sha256":"2495a69d3c17f187dda997c7f291d74cae9c023d241f95970a2cee76f7cccf04"}