{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XMEVKNF4N5NFU6M3HOM2MUKJR7","short_pith_number":"pith:XMEVKNF4","schema_version":"1.0","canonical_sha256":"bb095534bc6f5a5a799b3b99a651498fcee01e5c67d0f7b72653a08929af546e","source":{"kind":"arxiv","id":"1605.02446","version":1},"attestation_state":"computed","paper":{"title":"P-splines with derivative based penalties and tensor product smoothing of unevenly distributed data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Simon N. Wood","submitted_at":"2016-05-09T07:26:11Z","abstract_excerpt":"The P-splines of Eilers and Marx (1996) combine a B-spline basis with a discrete quadratic penalty on the basis coefficients, to produce a reduced rank spline like smoother. P-splines have three properties that make them very popular as reduced rank smoothers: i) the basis and the penalty are sparse, enabling efficient computation, especially for Bayesian stochastic simulation; ii) it is possible to flexibly `mix-and-match' the order of B-spline basis and penalty, rather than the order of penalty controlling the order of the basis as in spline smoothing; iii) it is very easy to set up the B-sp"},"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":"1605.02446","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-05-09T07:26:11Z","cross_cats_sorted":[],"title_canon_sha256":"1cf7b3f475f3ed0e056f32830ca3eea8db42bf7141ca6b64c57c75c2ab434d9c","abstract_canon_sha256":"82e1fc78dc1b92bfc878970d92432f85de6fa6daa50e09d798618999a4b5832a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:20.924039Z","signature_b64":"A4rEnef96mjtRwzWsxRIHdCd5fkpE7lHacPGAl13MzBc03gesuoFbboSHjceKwAFEmNCxrf2IXTWr3zCg3PuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb095534bc6f5a5a799b3b99a651498fcee01e5c67d0f7b72653a08929af546e","last_reissued_at":"2026-05-18T01:15:20.923208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:20.923208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"P-splines with derivative based penalties and tensor product smoothing of unevenly distributed data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Simon N. Wood","submitted_at":"2016-05-09T07:26:11Z","abstract_excerpt":"The P-splines of Eilers and Marx (1996) combine a B-spline basis with a discrete quadratic penalty on the basis coefficients, to produce a reduced rank spline like smoother. P-splines have three properties that make them very popular as reduced rank smoothers: i) the basis and the penalty are sparse, enabling efficient computation, especially for Bayesian stochastic simulation; ii) it is possible to flexibly `mix-and-match' the order of B-spline basis and penalty, rather than the order of penalty controlling the order of the basis as in spline smoothing; iii) it is very easy to set up the B-sp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02446","kind":"arxiv","version":1},"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":"1605.02446","created_at":"2026-05-18T01:15:20.923362+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02446v1","created_at":"2026-05-18T01:15:20.923362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02446","created_at":"2026-05-18T01:15:20.923362+00:00"},{"alias_kind":"pith_short_12","alias_value":"XMEVKNF4N5NF","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XMEVKNF4N5NFU6M3","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XMEVKNF4","created_at":"2026-05-18T12:30:51.357362+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/XMEVKNF4N5NFU6M3HOM2MUKJR7","json":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7.json","graph_json":"https://pith.science/api/pith-number/XMEVKNF4N5NFU6M3HOM2MUKJR7/graph.json","events_json":"https://pith.science/api/pith-number/XMEVKNF4N5NFU6M3HOM2MUKJR7/events.json","paper":"https://pith.science/paper/XMEVKNF4"},"agent_actions":{"view_html":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7","download_json":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7.json","view_paper":"https://pith.science/paper/XMEVKNF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02446&json=true","fetch_graph":"https://pith.science/api/pith-number/XMEVKNF4N5NFU6M3HOM2MUKJR7/graph.json","fetch_events":"https://pith.science/api/pith-number/XMEVKNF4N5NFU6M3HOM2MUKJR7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7/action/storage_attestation","attest_author":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7/action/author_attestation","sign_citation":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7/action/citation_signature","submit_replication":"https://pith.science/pith/XMEVKNF4N5NFU6M3HOM2MUKJR7/action/replication_record"}},"created_at":"2026-05-18T01:15:20.923362+00:00","updated_at":"2026-05-18T01:15:20.923362+00:00"}