{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SVTFCNDLIG3XGLKABKPIGDVWU5","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":"5a5f1ff1af9236029bf0c845fb5a77dd8b80967d3c3662476186db3d2a9b7a0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-11T16:51:42Z","title_canon_sha256":"dbca6c3fb9b2561e99b6eb504530674577e81894ed941fac526e8d9decad6e11"},"schema_version":"1.0","source":{"id":"1502.03369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03369","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03369v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03369","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"SVTFCNDLIG3X","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SVTFCNDLIG3XGLKA","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SVTFCNDL","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:b002353bb19d7502b551037dd869f8660458aeb6c4ce560d9024ab10ac95fa49","target":"graph","created_at":"2026-05-18T02:27:19Z","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":"The purpose of this paper is to establish the multivariate normal convergence for the average of certain Volterra processes constructed from a fractional Brownian motion with Hurst parameter H>1/2. Some applications to parameter estimation are then discussed.","authors_text":"David Nualart, Ivan Nourdin, Rola Zintout","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-11T16:51:42Z","title":"Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03369","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:ce01532f59452b38717a36935a30b75cc7ab444693ff958a56051234382dc4d6","target":"record","created_at":"2026-05-18T02:27:19Z","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":"5a5f1ff1af9236029bf0c845fb5a77dd8b80967d3c3662476186db3d2a9b7a0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-11T16:51:42Z","title_canon_sha256":"dbca6c3fb9b2561e99b6eb504530674577e81894ed941fac526e8d9decad6e11"},"schema_version":"1.0","source":{"id":"1502.03369","kind":"arxiv","version":1}},"canonical_sha256":"956651346b41b7732d400a9e830eb6a75b9455441b97b3eb96aa4f7eda74b81c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"956651346b41b7732d400a9e830eb6a75b9455441b97b3eb96aa4f7eda74b81c","first_computed_at":"2026-05-18T02:27:19.567014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:19.567014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9GwVyIOXH0XyOmLOR4J+uP8XU6XS71QNyVxipqnLwES55MYe28K1KJeWGrZtaF3fy09TB6x9YSk5BxTJLFvDCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:19.567821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce01532f59452b38717a36935a30b75cc7ab444693ff958a56051234382dc4d6","sha256:b002353bb19d7502b551037dd869f8660458aeb6c4ce560d9024ab10ac95fa49"],"state_sha256":"984e910b90fd7d849b889c07f4922a04cc5e9ae133ded0a0499e32ee13fa0f26"}