{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ID6ZOBVH3VLMZA775M26JABJ2F","short_pith_number":"pith:ID6ZOBVH","schema_version":"1.0","canonical_sha256":"40fd9706a7dd56cc83ffeb35e48029d170626b2aef33cf2567c190306f46f1cc","source":{"kind":"arxiv","id":"1304.2456","version":1},"attestation_state":"computed","paper":{"title":"Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Hiroki Masuda, nakahiro yoshida","submitted_at":"2013-04-09T04:51:15Z","abstract_excerpt":"We verify the Edgeworth expansion of any order for the integrated ergodic Levy driven Ornstein-Uhlenbeck process, applying a Malliavin calculus with truncation over the Wiener-Poisson space. Due to the special structure of the model, the coefficients of the expansion can be given in a closed form."},"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":"1304.2456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-09T04:51:15Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"7d4b68b18f44f39f871ba6d4565dc440744b54294a43f1bb03a896aefd6699b4","abstract_canon_sha256":"69980268f11c302aa15a4eea9f9c5e853557095a29ae1fbef50874197a681d04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:31.965176Z","signature_b64":"Pu/t3FmcV8bPZVHOApct/MunGjrZ2gA/POedfOFDnK/wrf5+Melirnu9ND3XXWiODTPVaDMl6ZamZI3Tcr8rBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40fd9706a7dd56cc83ffeb35e48029d170626b2aef33cf2567c190306f46f1cc","last_reissued_at":"2026-05-18T03:28:31.964502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:31.964502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Hiroki Masuda, nakahiro yoshida","submitted_at":"2013-04-09T04:51:15Z","abstract_excerpt":"We verify the Edgeworth expansion of any order for the integrated ergodic Levy driven Ornstein-Uhlenbeck process, applying a Malliavin calculus with truncation over the Wiener-Poisson space. Due to the special structure of the model, the coefficients of the expansion can be given in a closed form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2456","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":"1304.2456","created_at":"2026-05-18T03:28:31.964609+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2456v1","created_at":"2026-05-18T03:28:31.964609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2456","created_at":"2026-05-18T03:28:31.964609+00:00"},{"alias_kind":"pith_short_12","alias_value":"ID6ZOBVH3VLM","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"ID6ZOBVH3VLMZA77","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"ID6ZOBVH","created_at":"2026-05-18T12:27:46.883200+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/ID6ZOBVH3VLMZA775M26JABJ2F","json":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F.json","graph_json":"https://pith.science/api/pith-number/ID6ZOBVH3VLMZA775M26JABJ2F/graph.json","events_json":"https://pith.science/api/pith-number/ID6ZOBVH3VLMZA775M26JABJ2F/events.json","paper":"https://pith.science/paper/ID6ZOBVH"},"agent_actions":{"view_html":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F","download_json":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F.json","view_paper":"https://pith.science/paper/ID6ZOBVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2456&json=true","fetch_graph":"https://pith.science/api/pith-number/ID6ZOBVH3VLMZA775M26JABJ2F/graph.json","fetch_events":"https://pith.science/api/pith-number/ID6ZOBVH3VLMZA775M26JABJ2F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F/action/storage_attestation","attest_author":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F/action/author_attestation","sign_citation":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F/action/citation_signature","submit_replication":"https://pith.science/pith/ID6ZOBVH3VLMZA775M26JABJ2F/action/replication_record"}},"created_at":"2026-05-18T03:28:31.964609+00:00","updated_at":"2026-05-18T03:28:31.964609+00:00"}