{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XMEVKNF4N5NFU6M3HOM2MUKJR7","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":"82e1fc78dc1b92bfc878970d92432f85de6fa6daa50e09d798618999a4b5832a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-05-09T07:26:11Z","title_canon_sha256":"1cf7b3f475f3ed0e056f32830ca3eea8db42bf7141ca6b64c57c75c2ab434d9c"},"schema_version":"1.0","source":{"id":"1605.02446","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02446","created_at":"2026-05-18T01:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02446v1","created_at":"2026-05-18T01:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02446","created_at":"2026-05-18T01:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"XMEVKNF4N5NF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XMEVKNF4N5NFU6M3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XMEVKNF4","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:24cc90efcc6d871589357c0efd84ad3fd4674b067675c905f426a1d6bb4f7e6b","target":"graph","created_at":"2026-05-18T01:15:20Z","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":"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","authors_text":"Simon N. Wood","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-05-09T07:26:11Z","title":"P-splines with derivative based penalties and tensor product smoothing of unevenly distributed data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02446","kind":"arxiv","version":1},"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":"sha256:50e82afd74ca85f0d52067df4d274d1b46842a7a12344a9f8dc4a01c752c54b1","target":"record","created_at":"2026-05-18T01:15:20Z","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":"82e1fc78dc1b92bfc878970d92432f85de6fa6daa50e09d798618999a4b5832a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-05-09T07:26:11Z","title_canon_sha256":"1cf7b3f475f3ed0e056f32830ca3eea8db42bf7141ca6b64c57c75c2ab434d9c"},"schema_version":"1.0","source":{"id":"1605.02446","kind":"arxiv","version":1}},"canonical_sha256":"bb095534bc6f5a5a799b3b99a651498fcee01e5c67d0f7b72653a08929af546e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb095534bc6f5a5a799b3b99a651498fcee01e5c67d0f7b72653a08929af546e","first_computed_at":"2026-05-18T01:15:20.923208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:20.923208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A4rEnef96mjtRwzWsxRIHdCd5fkpE7lHacPGAl13MzBc03gesuoFbboSHjceKwAFEmNCxrf2IXTWr3zCg3PuCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:20.924039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02446","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50e82afd74ca85f0d52067df4d274d1b46842a7a12344a9f8dc4a01c752c54b1","sha256:24cc90efcc6d871589357c0efd84ad3fd4674b067675c905f426a1d6bb4f7e6b"],"state_sha256":"6885ebdc7ecd23d54e8dd07020dc0da0215791d4e14222b2e8310761a04fff1a"}