{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EV2PT75CRSGF4GNWPGY5ILF7L4","short_pith_number":"pith:EV2PT75C","schema_version":"1.0","canonical_sha256":"2574f9ffa28c8c5e19b679b1d42cbf5f2f4ea04887345e35723dcc3800e24d0b","source":{"kind":"arxiv","id":"1412.7332","version":4},"attestation_state":"computed","paper":{"title":"Best estimation of functional linear models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Caterina May, Chiara Tommasi, Giacomo Aletti","submitted_at":"2014-12-23T11:54:47Z","abstract_excerpt":"Observations which are realizations from some continuous process are frequent in sciences, engineering, economics, and other fields. We consider linear models, with possible random effects, where the responses are random functions in a suitable Sobolev space. The processes cannot be observed directly. With smoothing procedures from the original data, both the response curves and their derivatives can be reconstructed, even separately. From both these samples of functions, just one sample of representatives is obtained to estimate the vector of functional parameters. A simulation study shows th"},"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":"1412.7332","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-23T11:54:47Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"6defbddb321d45a41a2ef6ae3a5bdad5881a9248ae6745871f8b17d4d39bfe0b","abstract_canon_sha256":"5b40a78ef0d02716debbf2f7888be6e67334c7e53667fb61eb7be0f30490307f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:26.237523Z","signature_b64":"ySKXpUcWNPnrXvcpW1XyJa0vA33dM3ctZ99x0s48yp4sHgjt0/ZTk5DVQ2hvoypB7vgUFHchwqGwsXGL2SUJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2574f9ffa28c8c5e19b679b1d42cbf5f2f4ea04887345e35723dcc3800e24d0b","last_reissued_at":"2026-05-18T00:56:26.236867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:26.236867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Best estimation of functional linear models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Caterina May, Chiara Tommasi, Giacomo Aletti","submitted_at":"2014-12-23T11:54:47Z","abstract_excerpt":"Observations which are realizations from some continuous process are frequent in sciences, engineering, economics, and other fields. We consider linear models, with possible random effects, where the responses are random functions in a suitable Sobolev space. The processes cannot be observed directly. With smoothing procedures from the original data, both the response curves and their derivatives can be reconstructed, even separately. From both these samples of functions, just one sample of representatives is obtained to estimate the vector of functional parameters. A simulation study shows th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7332","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":""},"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":"1412.7332","created_at":"2026-05-18T00:56:26.236971+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.7332v4","created_at":"2026-05-18T00:56:26.236971+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7332","created_at":"2026-05-18T00:56:26.236971+00:00"},{"alias_kind":"pith_short_12","alias_value":"EV2PT75CRSGF","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"EV2PT75CRSGF4GNW","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"EV2PT75C","created_at":"2026-05-18T12:28:28.263976+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/EV2PT75CRSGF4GNWPGY5ILF7L4","json":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4.json","graph_json":"https://pith.science/api/pith-number/EV2PT75CRSGF4GNWPGY5ILF7L4/graph.json","events_json":"https://pith.science/api/pith-number/EV2PT75CRSGF4GNWPGY5ILF7L4/events.json","paper":"https://pith.science/paper/EV2PT75C"},"agent_actions":{"view_html":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4","download_json":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4.json","view_paper":"https://pith.science/paper/EV2PT75C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.7332&json=true","fetch_graph":"https://pith.science/api/pith-number/EV2PT75CRSGF4GNWPGY5ILF7L4/graph.json","fetch_events":"https://pith.science/api/pith-number/EV2PT75CRSGF4GNWPGY5ILF7L4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4/action/storage_attestation","attest_author":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4/action/author_attestation","sign_citation":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4/action/citation_signature","submit_replication":"https://pith.science/pith/EV2PT75CRSGF4GNWPGY5ILF7L4/action/replication_record"}},"created_at":"2026-05-18T00:56:26.236971+00:00","updated_at":"2026-05-18T00:56:26.236971+00:00"}