{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7GO5PYTNWNRDPYMQ6IOFDRQIBQ","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":"436119a3d9b9d5b665dbc3102ecaa42607ccb2fe6d8d19296c24b53a56b56e53","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-10T13:00:25Z","title_canon_sha256":"3169148aa5d4a321a888bfd25f82f920a5b91cdea70dfc352df920bae9484ad8"},"schema_version":"1.0","source":{"id":"2506.08760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.08760","created_at":"2026-07-05T11:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"2506.08760v1","created_at":"2026-07-05T11:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08760","created_at":"2026-07-05T11:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"7GO5PYTNWNRD","created_at":"2026-07-05T11:19:12Z"},{"alias_kind":"pith_short_16","alias_value":"7GO5PYTNWNRDPYMQ","created_at":"2026-07-05T11:19:12Z"},{"alias_kind":"pith_short_8","alias_value":"7GO5PYTN","created_at":"2026-07-05T11:19:12Z"}],"graph_snapshots":[{"event_id":"sha256:b338a547a813623c3e78f0099734a916f1d7b5691842225bd5d4226a509fbd2d","target":"graph","created_at":"2026-07-05T11:19:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.08760/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In segmented regression, when the regression function is continuous at the change-points that are the boundaries of the segments, it is also called joinpoint regression, and the analysis package developed by \\cite{KimFFM00} has become a standard tool for analyzing trends in longitudinal data in the field of epidemiology. In addition, it is sometimes natural to expect the regression function to be discontinuous at the change-points, and in the field of epidemiology, this model is used in \\cite{JiaZS22}, which is considered important due to the analysis of COVID-19 data. On the other hand, model","authors_text":"Kazuki Nakajima, Yoshiyuki Ninomiya","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-10T13:00:25Z","title":"Akaike information criterion for segmented regression models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08760","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:de5eba8393b8da99cc81547a562b840684bfd45056901c126731494342507abf","target":"record","created_at":"2026-07-05T11:19:12Z","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":"436119a3d9b9d5b665dbc3102ecaa42607ccb2fe6d8d19296c24b53a56b56e53","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-10T13:00:25Z","title_canon_sha256":"3169148aa5d4a321a888bfd25f82f920a5b91cdea70dfc352df920bae9484ad8"},"schema_version":"1.0","source":{"id":"2506.08760","kind":"arxiv","version":1}},"canonical_sha256":"f99dd7e26db36237e190f21c51c6080c200d8b43bce1e7e930571b7836fb66f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99dd7e26db36237e190f21c51c6080c200d8b43bce1e7e930571b7836fb66f5","first_computed_at":"2026-07-05T11:19:12.915513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:12.915513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yrzGJvYXWNAjPAarc39K0hpjnvldNUfUNmKoTkvwAXYbiHrhbnvCd9kaCx4I6pm6HTEbqrufuNQwyK8KNbjoAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:12.915945Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.08760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de5eba8393b8da99cc81547a562b840684bfd45056901c126731494342507abf","sha256:b338a547a813623c3e78f0099734a916f1d7b5691842225bd5d4226a509fbd2d"],"state_sha256":"76ec969d0ef38910af0ffb2625924fbeff4340e71ed264c936b3bf4678ee4fb3"}