{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QXRKHZ3NETXGU7KUQ6UBZGPA3N","short_pith_number":"pith:QXRKHZ3N","canonical_record":{"source":{"id":"1810.02177","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-04T12:49:27Z","cross_cats_sorted":[],"title_canon_sha256":"e4e77f3a13274d6cf2b7c4a1d1b451a98698631725a6f720303d7146f6ec4826","abstract_canon_sha256":"2ec3c904ca31f0a0a3c77ce4d6663e7c30b4126c30d08a0d61462ebff31a3b4d"},"schema_version":"1.0"},"canonical_sha256":"85e2a3e76d24ee6a7d5487a81c99e0db4f225ffa8f8abe45a9c163138b7fa33c","source":{"kind":"arxiv","id":"1810.02177","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02177","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02177v4","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02177","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_12","alias_value":"QXRKHZ3NETXG","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_16","alias_value":"QXRKHZ3NETXGU7KU","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_8","alias_value":"QXRKHZ3N","created_at":"2026-07-04T23:56:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QXRKHZ3NETXGU7KUQ6UBZGPA3N","target":"record","payload":{"canonical_record":{"source":{"id":"1810.02177","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-04T12:49:27Z","cross_cats_sorted":[],"title_canon_sha256":"e4e77f3a13274d6cf2b7c4a1d1b451a98698631725a6f720303d7146f6ec4826","abstract_canon_sha256":"2ec3c904ca31f0a0a3c77ce4d6663e7c30b4126c30d08a0d61462ebff31a3b4d"},"schema_version":"1.0"},"canonical_sha256":"85e2a3e76d24ee6a7d5487a81c99e0db4f225ffa8f8abe45a9c163138b7fa33c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:56:47.183422Z","signature_b64":"mg3P8w675y+giUJahku2V6cs1ukjzbWbYRINW1FbclXV7x9e/2B6ye8gIa8Pw5U8RXH2Hd0OLoMuIXqqiUgcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85e2a3e76d24ee6a7d5487a81c99e0db4f225ffa8f8abe45a9c163138b7fa33c","last_reissued_at":"2026-07-04T23:56:47.183013Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:56:47.183013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.02177","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:56:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rwdg4pIqk+1Dc0D+Cb4Sh3g+/u9jD9TCPl6at3KQdjJJq5MBGncqQN/hJrV3Lbn8EyvScr+VaNYWRfaXc63dDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:51:09.149720Z"},"content_sha256":"86cf0958f0891663f6d4bc24cbc59490352e7abc4a90867760229389ff844629","schema_version":"1.0","event_id":"sha256:86cf0958f0891663f6d4bc24cbc59490352e7abc4a90867760229389ff844629"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QXRKHZ3NETXGU7KUQ6UBZGPA3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Berry-Ess\\'een bound for the Parameter Estimation of Fractional Ornstein-Uhlenbeck Processes with the Hurst Parameter $H\\in (0,1/2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nenghui Kuang, Yong Chen","submitted_at":"2018-10-04T12:49:27Z","abstract_excerpt":"For an Ornstein-Uhlenbeck process driven by a fractional Brownian motion with Hurst parameter 0<H<1/2, one shows the Berry-Ess\\'een bound of the least squares estimator of the drift parameter. Thus, a problem left in the previous paper (Chen, Kuang and Li in Stochastics and Dynamics, 2019+) is solved, where the Berry-Ess\\'een bound of the least squares estimator is proved for 1/2<=H<=3/4. An approach based on Malliavin calculus given by Kim and Park \\cite{kim 3} is used"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02177","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1810.02177/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:56:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OHFFod6bjK1SxKYDYtyjUYdQVCULDfiliODFqt/fkB7zUj5mxYUEtTlru8oz5T3I/qk3tBL3rKWcbCpsz0tnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:51:09.150509Z"},"content_sha256":"f45c01593126afbe2620dfecb260fff05e1f212a96e20ffb6deddc1d9b71c842","schema_version":"1.0","event_id":"sha256:f45c01593126afbe2620dfecb260fff05e1f212a96e20ffb6deddc1d9b71c842"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/bundle.json","state_url":"https://pith.science/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T17:51:09Z","links":{"resolver":"https://pith.science/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N","bundle":"https://pith.science/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/bundle.json","state":"https://pith.science/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXRKHZ3NETXGU7KUQ6UBZGPA3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QXRKHZ3NETXGU7KUQ6UBZGPA3N","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":"2ec3c904ca31f0a0a3c77ce4d6663e7c30b4126c30d08a0d61462ebff31a3b4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-04T12:49:27Z","title_canon_sha256":"e4e77f3a13274d6cf2b7c4a1d1b451a98698631725a6f720303d7146f6ec4826"},"schema_version":"1.0","source":{"id":"1810.02177","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02177","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02177v4","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02177","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_12","alias_value":"QXRKHZ3NETXG","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_16","alias_value":"QXRKHZ3NETXGU7KU","created_at":"2026-07-04T23:56:47Z"},{"alias_kind":"pith_short_8","alias_value":"QXRKHZ3N","created_at":"2026-07-04T23:56:47Z"}],"graph_snapshots":[{"event_id":"sha256:f45c01593126afbe2620dfecb260fff05e1f212a96e20ffb6deddc1d9b71c842","target":"graph","created_at":"2026-07-04T23:56:47Z","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/1810.02177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For an Ornstein-Uhlenbeck process driven by a fractional Brownian motion with Hurst parameter 0<H<1/2, one shows the Berry-Ess\\'een bound of the least squares estimator of the drift parameter. Thus, a problem left in the previous paper (Chen, Kuang and Li in Stochastics and Dynamics, 2019+) is solved, where the Berry-Ess\\'een bound of the least squares estimator is proved for 1/2<=H<=3/4. An approach based on Malliavin calculus given by Kim and Park \\cite{kim 3} is used","authors_text":"Nenghui Kuang, Yong Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-04T12:49:27Z","title":"Berry-Ess\\'een bound for the Parameter Estimation of Fractional Ornstein-Uhlenbeck Processes with the Hurst Parameter $H\\in (0,1/2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02177","kind":"arxiv","version":4},"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":"sha256:86cf0958f0891663f6d4bc24cbc59490352e7abc4a90867760229389ff844629","target":"record","created_at":"2026-07-04T23:56:47Z","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":"2ec3c904ca31f0a0a3c77ce4d6663e7c30b4126c30d08a0d61462ebff31a3b4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-04T12:49:27Z","title_canon_sha256":"e4e77f3a13274d6cf2b7c4a1d1b451a98698631725a6f720303d7146f6ec4826"},"schema_version":"1.0","source":{"id":"1810.02177","kind":"arxiv","version":4}},"canonical_sha256":"85e2a3e76d24ee6a7d5487a81c99e0db4f225ffa8f8abe45a9c163138b7fa33c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85e2a3e76d24ee6a7d5487a81c99e0db4f225ffa8f8abe45a9c163138b7fa33c","first_computed_at":"2026-07-04T23:56:47.183013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:56:47.183013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mg3P8w675y+giUJahku2V6cs1ukjzbWbYRINW1FbclXV7x9e/2B6ye8gIa8Pw5U8RXH2Hd0OLoMuIXqqiUgcBg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:56:47.183422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02177","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86cf0958f0891663f6d4bc24cbc59490352e7abc4a90867760229389ff844629","sha256:f45c01593126afbe2620dfecb260fff05e1f212a96e20ffb6deddc1d9b71c842"],"state_sha256":"b9ebd7422f972a4d5186948c78086d5af860b2c1e2e9a7a50d492e1908b88272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7jKBdjeUOnV3A+EPro7HRTLJk9FrH67zQsK6okEIbFfk05L8rRHPynFLdwDt5Ph6ZRsv24crLIAfpU6UK3L+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:51:09.158544Z","bundle_sha256":"98746867a9ca052364e36e5377e00bdfe977619c3c326fa1bd5f559728702d83"}}