{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IOIZIIRO6UAOLTGNSYLV3O6RYP","merge_version":"pith-open-graph-merge-v1","event_count":5,"valid_event_count":5,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b77b051e04428dd2ebb4671bbee9e8ba83f5a8cdb33688c2a33dca714f982c3d","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T13:40:09Z","title_canon_sha256":"da22bbc36e7df79689b49d6d53a4d128c39c1eba9a9a7ba0bf0565e3f80d5374"},"schema_version":"1.0","source":{"id":"2607.11558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11558","created_at":"2026-07-14T02:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11558v1","created_at":"2026-07-14T02:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11558","created_at":"2026-07-14T02:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"IOIZIIRO6UAO","created_at":"2026-07-14T02:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"IOIZIIRO6UAOLTGN","created_at":"2026-07-14T02:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"IOIZIIRO","created_at":"2026-07-14T02:22:11Z"}],"graph_snapshots":[{"event_id":"sha256:ee0f6d032b610ea4496eb731e3e32dff0f84989fdea51e877ff7b2376b55ccd8","target":"graph","created_at":"2026-07-14T02:22:11Z","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/2607.11558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High-dimensional biomarkers such as gene expression levels are now routinely measured over time, allowing biological processes to be studied dynamically rather than through cross-sectional snapshots. However, existing methods do not adequately address the central applied challenges posed by such data: simultaneously reducing dimensionality, quantifying inter-individual variability and uncovering temporal structure shared across biomarkers. We introduce Partition Functional Principal Component Analysis (PFPCA), a Bayesian model that jointly learns shared temporal patterns and clusters variables","authors_text":"Daniel Temko, H\\'el\\`ene Ruffieux, Marion Kerioui, Shahin Tavakoli","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T13:40:09Z","title":"Modeling Time-course Gene Expression Data through Bayesian Partition Functional Principal Component Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11558","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:ac6f13d681e0e396c941fdf097459554c552bf9762c227bea699d33d98effb56","target":"record","created_at":"2026-07-14T02:22:11Z","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":"b77b051e04428dd2ebb4671bbee9e8ba83f5a8cdb33688c2a33dca714f982c3d","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T13:40:09Z","title_canon_sha256":"da22bbc36e7df79689b49d6d53a4d128c39c1eba9a9a7ba0bf0565e3f80d5374"},"schema_version":"1.0","source":{"id":"2607.11558","kind":"arxiv","version":1}},"canonical_sha256":"439194222ef500e5cccd96175dbbd1c3ea642e8dcb95daca6b72c00bf0f25066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"439194222ef500e5cccd96175dbbd1c3ea642e8dcb95daca6b72c00bf0f25066","first_computed_at":"2026-07-14T02:22:11.478556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T02:22:11.478556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LSn4u/ZhP2EqOzd8iwrb4CZ7X70XJupCPiz7iphyX+dDbC/gcRaYajbagHJMy5Gah0YjuHGNLdGwtw2YMS2rBw==","signature_status":"signed_v1","signed_at":"2026-07-14T02:22:11.479453Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.11558","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:3f1dd28b67c455a06fee7d706b2084be27be9616c281c68d577f57bc06565606","sha256:6cd8bb0c6a22a1bf1c2b429515a1eae82b08b3fe55b17db4a825ca3696d35338","sha256:c877dd55b65fe9f82359abc0a5b9f0316507a368d9b9def73f770a777eb58681"]}],"invalid_events":[],"applied_event_ids":["sha256:ac6f13d681e0e396c941fdf097459554c552bf9762c227bea699d33d98effb56","sha256:ee0f6d032b610ea4496eb731e3e32dff0f84989fdea51e877ff7b2376b55ccd8"],"state_sha256":"bdb7b5b41b0aafbc9a40213ab0884c159a3de78827afabcd2e36929d4d593ce2"}