{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:TVQ63FM4CT2NRJKVE6KPWP2UKX","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":"9194ec58b42d5c1ef337177bfac0ed859b02d9e8bae07751efafb9128c481b26","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2021-11-30T11:12:39Z","title_canon_sha256":"d631d3c6ca300fadf15625d5489b844095a18d8f424daaeaf162c55a0a242f95"},"schema_version":"1.0","source":{"id":"2111.15292","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.15292","created_at":"2026-07-05T03:44:14Z"},{"alias_kind":"arxiv_version","alias_value":"2111.15292v3","created_at":"2026-07-05T03:44:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.15292","created_at":"2026-07-05T03:44:14Z"},{"alias_kind":"pith_short_12","alias_value":"TVQ63FM4CT2N","created_at":"2026-07-05T03:44:14Z"},{"alias_kind":"pith_short_16","alias_value":"TVQ63FM4CT2NRJKV","created_at":"2026-07-05T03:44:14Z"},{"alias_kind":"pith_short_8","alias_value":"TVQ63FM4","created_at":"2026-07-05T03:44:14Z"}],"graph_snapshots":[{"event_id":"sha256:7ac852fdfba98f5a614462750ea1cc5f46a98a05cf4abca8e0b7f0d9f013f43a","target":"graph","created_at":"2026-07-05T03:44:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.15292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In Chen and Zhou 2021, they consider an inference problem for an Ornstein-Uhlenbeck process driven by a general one-dimensional centered Gaussian process $(G_t)_{t\\ge 0}$. The second order mixed partial derivative of the covariance function $ R(t,\\, s)=\\mathbb{E}[G_t G_s]$ can be decomposed into two parts, one of which coincides with that of fractional Brownian motion and the other is bounded by $(ts)^{H-1}$ with $H\\in (\\frac12,\\,1)$, up to a constant factor.\n  In this paper, we investigate the same problem but with the assumption of $H\\in (0,\\,\\frac12)$. It is well known that there is a signi","authors_text":"Xiangmeng Gu, Ying Li, Yong Chen","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2021-11-30T11:12:39Z","title":"Parameter estimation for an Ornstein-Uhlenbeck Process driven by a general Gaussian noise with Hurst Parameter $H\\in (0,\\frac12)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.15292","kind":"arxiv","version":3},"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:a3bf7bd02462a0976d23e875b4f3892d9dc5f1d74e51a29ff2bb5e97fcb3a6f2","target":"record","created_at":"2026-07-05T03:44:14Z","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":"9194ec58b42d5c1ef337177bfac0ed859b02d9e8bae07751efafb9128c481b26","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2021-11-30T11:12:39Z","title_canon_sha256":"d631d3c6ca300fadf15625d5489b844095a18d8f424daaeaf162c55a0a242f95"},"schema_version":"1.0","source":{"id":"2111.15292","kind":"arxiv","version":3}},"canonical_sha256":"9d61ed959c14f4d8a5552794fb3f5455eb3200b340c546f1ac27a98afde2b495","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d61ed959c14f4d8a5552794fb3f5455eb3200b340c546f1ac27a98afde2b495","first_computed_at":"2026-07-05T03:44:14.998955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:44:14.998955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZYTY8MvI+M7X4Fg2hrUY4NCSHdbZCsvXwSE3VIGiuEwZgXorF0+2tdoyFtolsQYPgFJlaKpOwSvFOdvbydDGCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:44:14.999469Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.15292","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3bf7bd02462a0976d23e875b4f3892d9dc5f1d74e51a29ff2bb5e97fcb3a6f2","sha256:7ac852fdfba98f5a614462750ea1cc5f46a98a05cf4abca8e0b7f0d9f013f43a"],"state_sha256":"43c9bc2ffe3e4ce94c2e39c12b84ca675206ca6d1bc6165c259f098bdff4f474"}