{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:RN3GG2TST2OKRHLU5WXGFOTJ6N","short_pith_number":"pith:RN3GG2TS","schema_version":"1.0","canonical_sha256":"8b76636a729e9ca89d74edae62ba69f35a946969b8fb0606770f61e98913815d","source":{"kind":"arxiv","id":"1802.07448","version":1},"attestation_state":"computed","paper":{"title":"The asymptotic expansion of the regular discretization error of It\\^o integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Elisa Al\\`os, Masaaki Fukasawa","submitted_at":"2018-02-21T07:20:35Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.07448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-21T07:20:35Z","cross_cats_sorted":[],"title_canon_sha256":"d53760098637dfa15d99ea06c0ecd240b02b9958a0f1bd339d58718d4e648025","abstract_canon_sha256":"6ee232018d84e8605339efc77d54d095575d17bc22de2ed6076fef8fae43801a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:50.245134Z","signature_b64":"/2740U5/0YiEvyaOYTLa05C/kTG4mVjDnwiTiViur6542XNuGtqcGbfiYYKqkQK+rZeW1VJ+63CYtPNTw9JoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b76636a729e9ca89d74edae62ba69f35a946969b8fb0606770f61e98913815d","last_reissued_at":"2026-05-18T00:22:50.244621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:50.244621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The asymptotic expansion of the regular discretization error of It\\^o integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Elisa Al\\`os, Masaaki Fukasawa","submitted_at":"2018-02-21T07:20:35Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07448","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.07448","created_at":"2026-05-18T00:22:50.244693+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.07448v1","created_at":"2026-05-18T00:22:50.244693+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07448","created_at":"2026-05-18T00:22:50.244693+00:00"},{"alias_kind":"pith_short_12","alias_value":"RN3GG2TST2OK","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"RN3GG2TST2OKRHLU","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"RN3GG2TS","created_at":"2026-05-18T12:32:50.500415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N","json":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N.json","graph_json":"https://pith.science/api/pith-number/RN3GG2TST2OKRHLU5WXGFOTJ6N/graph.json","events_json":"https://pith.science/api/pith-number/RN3GG2TST2OKRHLU5WXGFOTJ6N/events.json","paper":"https://pith.science/paper/RN3GG2TS"},"agent_actions":{"view_html":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N","download_json":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N.json","view_paper":"https://pith.science/paper/RN3GG2TS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.07448&json=true","fetch_graph":"https://pith.science/api/pith-number/RN3GG2TST2OKRHLU5WXGFOTJ6N/graph.json","fetch_events":"https://pith.science/api/pith-number/RN3GG2TST2OKRHLU5WXGFOTJ6N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N/action/storage_attestation","attest_author":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N/action/author_attestation","sign_citation":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N/action/citation_signature","submit_replication":"https://pith.science/pith/RN3GG2TST2OKRHLU5WXGFOTJ6N/action/replication_record"}},"created_at":"2026-05-18T00:22:50.244693+00:00","updated_at":"2026-05-18T00:22:50.244693+00:00"}