{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:PBA4FJGFOAE4GDY2L4IDXR46VI","short_pith_number":"pith:PBA4FJGF","schema_version":"1.0","canonical_sha256":"7841c2a4c57009c30f1a5f103bc79eaa148b655b254a8bfc4bcd23544eb7b8e0","source":{"kind":"arxiv","id":"1706.06354","version":2},"attestation_state":"computed","paper":{"title":"Consistency of the plug-in functional predictor of the Ornstein-Uhlenbeck process in Hilbert and Banach spaces","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.FA","stat.AP","stat.OT","stat.TH"],"primary_cat":"math.ST","authors_text":"D. Bosq, J. \\'Alvarez-Li\\'ebana, M. D. Ruiz-Medina","submitted_at":"2017-06-20T10:18:14Z","abstract_excerpt":"New results on functional prediction of the Ornstein-Uhlenbeck process in an autoregressive Hilbert-valued and Banach-valued frameworks are derived. Specifically, consistency of the maximum likelihood estimator of the autocorrelation operator, and of the associated plug-in predictor is obtained in both frameworks."},"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":"1706.06354","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.ST","submitted_at":"2017-06-20T10:18:14Z","cross_cats_sorted":["math.FA","stat.AP","stat.OT","stat.TH"],"title_canon_sha256":"d5013788940477ff629d52b8779fb79a0b594c0d1f579ce0945cac5deffcf294","abstract_canon_sha256":"65bf2b01f9b9a527b25efc07cbd4c27b6d343e60c66f2c1204bd449eca3d6243"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:41.794746Z","signature_b64":"otVzhnnVbHEjuBLwUz0KQDPilSlrkooMVTcqDFp01q5OlrMdqN05XXVBdWP+Vybs04AdNi7qxdvyCHF1itzIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7841c2a4c57009c30f1a5f103bc79eaa148b655b254a8bfc4bcd23544eb7b8e0","last_reissued_at":"2026-05-18T00:06:41.794118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:41.794118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Consistency of the plug-in functional predictor of the Ornstein-Uhlenbeck process in Hilbert and Banach spaces","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.FA","stat.AP","stat.OT","stat.TH"],"primary_cat":"math.ST","authors_text":"D. Bosq, J. \\'Alvarez-Li\\'ebana, M. D. Ruiz-Medina","submitted_at":"2017-06-20T10:18:14Z","abstract_excerpt":"New results on functional prediction of the Ornstein-Uhlenbeck process in an autoregressive Hilbert-valued and Banach-valued frameworks are derived. Specifically, consistency of the maximum likelihood estimator of the autocorrelation operator, and of the associated plug-in predictor is obtained in both frameworks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06354","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.06354","created_at":"2026-05-18T00:06:41.794217+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06354v2","created_at":"2026-05-18T00:06:41.794217+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06354","created_at":"2026-05-18T00:06:41.794217+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBA4FJGFOAE4","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBA4FJGFOAE4GDY2","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBA4FJGF","created_at":"2026-05-18T12:31:37.085036+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/PBA4FJGFOAE4GDY2L4IDXR46VI","json":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI.json","graph_json":"https://pith.science/api/pith-number/PBA4FJGFOAE4GDY2L4IDXR46VI/graph.json","events_json":"https://pith.science/api/pith-number/PBA4FJGFOAE4GDY2L4IDXR46VI/events.json","paper":"https://pith.science/paper/PBA4FJGF"},"agent_actions":{"view_html":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI","download_json":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI.json","view_paper":"https://pith.science/paper/PBA4FJGF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06354&json=true","fetch_graph":"https://pith.science/api/pith-number/PBA4FJGFOAE4GDY2L4IDXR46VI/graph.json","fetch_events":"https://pith.science/api/pith-number/PBA4FJGFOAE4GDY2L4IDXR46VI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI/action/storage_attestation","attest_author":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI/action/author_attestation","sign_citation":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI/action/citation_signature","submit_replication":"https://pith.science/pith/PBA4FJGFOAE4GDY2L4IDXR46VI/action/replication_record"}},"created_at":"2026-05-18T00:06:41.794217+00:00","updated_at":"2026-05-18T00:06:41.794217+00:00"}