{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DKS5NC2Z4W6TQMHOJK2PVMSTW6","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":"77bb3d495dcfaae73de7da046978942f464622ba9971c93c436f042e98f603df","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-03-27T16:28:00Z","title_canon_sha256":"fdd87a858d4b7d5d163b1cae7afab9218381846624520f5cced79bb020166d7d"},"schema_version":"1.0","source":{"id":"1403.7118","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7118","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7118v4","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7118","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"DKS5NC2Z4W6T","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DKS5NC2Z4W6TQMHO","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DKS5NC2Z","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:e25b0bcbe82a3647a50e40b156e1233dc173fef98c17d07b55a919d5c1419522","target":"graph","created_at":"2026-05-18T02:38:26Z","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":"Generalized additive models (GAMs) play an important role in modeling and understanding complex relationships in modern applied statistics. They allow for flexible, data-driven estimation of covariate effects. Yet researchers often have a priori knowledge of certain effects, which might be monotonic or periodic (cyclic) or should fulfill boundary conditions. We propose a unified framework to incorporate these constraints for both univariate and bivariate effect estimates and for varying coefficients. As the framework is based on component-wise boosting methods, variables can be selected intrin","authors_text":"Benjamin Hofner, Thomas Kneib, Torsten Hothorn","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-03-27T16:28:00Z","title":"A Unified Framework of Constrained Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7118","kind":"arxiv","version":4},"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":"sha256:68ccca1787251a53de2312ee9c0440b9f774e13f07b6cf849bd2af62aacf9b42","target":"record","created_at":"2026-05-18T02:38:26Z","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":"77bb3d495dcfaae73de7da046978942f464622ba9971c93c436f042e98f603df","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-03-27T16:28:00Z","title_canon_sha256":"fdd87a858d4b7d5d163b1cae7afab9218381846624520f5cced79bb020166d7d"},"schema_version":"1.0","source":{"id":"1403.7118","kind":"arxiv","version":4}},"canonical_sha256":"1aa5d68b59e5bd3830ee4ab4fab253b7a376bbeb3a31256cdcc07031142bfd1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa5d68b59e5bd3830ee4ab4fab253b7a376bbeb3a31256cdcc07031142bfd1c","first_computed_at":"2026-05-18T02:38:26.449341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:26.449341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f03mLK9FCn2DRtWH7kqL57b9etOz51YgUhQ8g+EdjDn2pD/dx2mpp1Je1k3/I3XI+NzIJ87iojrCCHchfHf3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:26.449808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7118","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68ccca1787251a53de2312ee9c0440b9f774e13f07b6cf849bd2af62aacf9b42","sha256:e25b0bcbe82a3647a50e40b156e1233dc173fef98c17d07b55a919d5c1419522"],"state_sha256":"9d0a8ccc6fa34937c02eec338e5bfcd82ad7f133652e36714c1a74e283ff38bb"}