{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QYAHNSQW45PYFVZAGA365TYGY4","short_pith_number":"pith:QYAHNSQW","canonical_record":{"source":{"id":"1602.02092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-05T16:43:31Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"a31271426ac09967c1a04e9b09ed96ec8839602835dcdcc098bafbd08b3f16bf","abstract_canon_sha256":"33bb29062175ddce183254bb4d10645a08c0b65ffedfa1ca6151565c5a0661a1"},"schema_version":"1.0"},"canonical_sha256":"860076ca16e75f82d7203037eecf06c718f331ad8edc4d1c6c3b69630d96984a","source":{"kind":"arxiv","id":"1602.02092","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02092","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02092v2","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02092","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"QYAHNSQW45PY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QYAHNSQW45PYFVZA","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QYAHNSQW","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QYAHNSQW45PYFVZAGA365TYGY4","target":"record","payload":{"canonical_record":{"source":{"id":"1602.02092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-05T16:43:31Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"a31271426ac09967c1a04e9b09ed96ec8839602835dcdcc098bafbd08b3f16bf","abstract_canon_sha256":"33bb29062175ddce183254bb4d10645a08c0b65ffedfa1ca6151565c5a0661a1"},"schema_version":"1.0"},"canonical_sha256":"860076ca16e75f82d7203037eecf06c718f331ad8edc4d1c6c3b69630d96984a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:10.787574Z","signature_b64":"M2GRBeshn87BFu0SUFOBJPbcQepZ/LPNM3nDOICV722aQwh2yg6XhQPudyMGsDll2Ijo8BYWUbgXzQwPveqKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"860076ca16e75f82d7203037eecf06c718f331ad8edc4d1c6c3b69630d96984a","last_reissued_at":"2026-05-18T01:21:10.787085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:10.787085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.02092","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"17inBkiQeriDRMDbownQfZgqK3bOLedq+wdabJknCxlRrdkJwhEBLw3UNuWf6M+o5NqNHHoqjtCS2dqrBwFAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:01:49.201302Z"},"content_sha256":"4716bee42363952e718afb2b805148b59217e1dc6bcc369ba924ca0ad94a78be","schema_version":"1.0","event_id":"sha256:4716bee42363952e718afb2b805148b59217e1dc6bcc369ba924ca0ad94a78be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QYAHNSQW45PYFVZAGA365TYGY4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations and concentration inequalities for the Ornstein-Uhlenbeck process without tears","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Adrien Richou, Bernard Bercu","submitted_at":"2016-02-05T16:43:31Z","abstract_excerpt":"Our goal is to establish large deviations and concentration inequalities for the maximum likelihood estimator of the drift parameter of the Ornstein-Uhlenbeck process without tears. We propose a new strategy to establish large deviation results which allows us, via a suitable transformation, to circumvent the classical difficulty of non-steepness. Our approach holds in the stable case where the process is positive recurrent as well as in the unstable and explosive cases where the process is respectively null recurrent and transient. Notwithstanding of this trichotomy, we also provide new conce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02092","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yF4Nu8B3ALod8YDj0194QXcojwVMfa+cpH0jNzLiJHP77/f8o3h/IttR/Xk49HgFCHC6hDZn8gsb76h+ao70Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:01:49.201672Z"},"content_sha256":"dc106c61810a663752402fa88b1cdf88a5697dddde3821cbc0bf94410d5f5d96","schema_version":"1.0","event_id":"sha256:dc106c61810a663752402fa88b1cdf88a5697dddde3821cbc0bf94410d5f5d96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QYAHNSQW45PYFVZAGA365TYGY4/bundle.json","state_url":"https://pith.science/pith/QYAHNSQW45PYFVZAGA365TYGY4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QYAHNSQW45PYFVZAGA365TYGY4/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":"2026-06-24T09:01:49Z","links":{"resolver":"https://pith.science/pith/QYAHNSQW45PYFVZAGA365TYGY4","bundle":"https://pith.science/pith/QYAHNSQW45PYFVZAGA365TYGY4/bundle.json","state":"https://pith.science/pith/QYAHNSQW45PYFVZAGA365TYGY4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QYAHNSQW45PYFVZAGA365TYGY4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QYAHNSQW45PYFVZAGA365TYGY4","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":"33bb29062175ddce183254bb4d10645a08c0b65ffedfa1ca6151565c5a0661a1","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-05T16:43:31Z","title_canon_sha256":"a31271426ac09967c1a04e9b09ed96ec8839602835dcdcc098bafbd08b3f16bf"},"schema_version":"1.0","source":{"id":"1602.02092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02092","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02092v2","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02092","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"QYAHNSQW45PY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QYAHNSQW45PYFVZA","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QYAHNSQW","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:dc106c61810a663752402fa88b1cdf88a5697dddde3821cbc0bf94410d5f5d96","target":"graph","created_at":"2026-05-18T01:21:10Z","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":"Our goal is to establish large deviations and concentration inequalities for the maximum likelihood estimator of the drift parameter of the Ornstein-Uhlenbeck process without tears. We propose a new strategy to establish large deviation results which allows us, via a suitable transformation, to circumvent the classical difficulty of non-steepness. Our approach holds in the stable case where the process is positive recurrent as well as in the unstable and explosive cases where the process is respectively null recurrent and transient. Notwithstanding of this trichotomy, we also provide new conce","authors_text":"Adrien Richou, Bernard Bercu","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-05T16:43:31Z","title":"Large deviations and concentration inequalities for the Ornstein-Uhlenbeck process without tears"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02092","kind":"arxiv","version":2},"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":"sha256:4716bee42363952e718afb2b805148b59217e1dc6bcc369ba924ca0ad94a78be","target":"record","created_at":"2026-05-18T01:21:10Z","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":"33bb29062175ddce183254bb4d10645a08c0b65ffedfa1ca6151565c5a0661a1","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-05T16:43:31Z","title_canon_sha256":"a31271426ac09967c1a04e9b09ed96ec8839602835dcdcc098bafbd08b3f16bf"},"schema_version":"1.0","source":{"id":"1602.02092","kind":"arxiv","version":2}},"canonical_sha256":"860076ca16e75f82d7203037eecf06c718f331ad8edc4d1c6c3b69630d96984a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"860076ca16e75f82d7203037eecf06c718f331ad8edc4d1c6c3b69630d96984a","first_computed_at":"2026-05-18T01:21:10.787085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:10.787085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M2GRBeshn87BFu0SUFOBJPbcQepZ/LPNM3nDOICV722aQwh2yg6XhQPudyMGsDll2Ijo8BYWUbgXzQwPveqKDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:10.787574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4716bee42363952e718afb2b805148b59217e1dc6bcc369ba924ca0ad94a78be","sha256:dc106c61810a663752402fa88b1cdf88a5697dddde3821cbc0bf94410d5f5d96"],"state_sha256":"f2977ed19ae908891a89e11c5a2e7fc15f4a923ed5b7f6a3887f3ceafcbf6eae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5JyrKfsflZCPfVfP2BA1CCrv/RpyTzGxd1cXKHLqK4OUOwLdWfu8JSkXKuU9GUXCAo0QOMwDF9o+YvOrpJpKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:01:49.203680Z","bundle_sha256":"e5984c8e0665597f47394e32bae803c5b0e2fe6d8cde76b0449ebc2a9600d0d8"}}