{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SGRR2RCZLBRPB6WXTZSCGVAXWF","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":"9cc3c7e3821a8ea18655ab6281853e6563ad847b2c9bab5fa353b6ece47ccd4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-02T19:19:50Z","title_canon_sha256":"237b6176562b8130e1a191a91acfa6b57c2444fdf67e12e1e247a5e9a142910f"},"schema_version":"1.0","source":{"id":"1502.00587","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00587","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00587v2","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00587","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"SGRR2RCZLBRP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SGRR2RCZLBRPB6WX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SGRR2RCZ","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:b8fa980af689f65d4d042cd389fcd5c27322c2b66e15f353b6017ee9a47ebec2","target":"graph","created_at":"2026-05-18T01:55:59Z","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":"We extend the definition of functional data registration to encompass a larger class of registered functions. In contrast to traditional registration models, we allow for registered functions that have more than one primary direction of variation. The proposed Bayesian hierarchical model simultaneously registers the observed functions and estimates the two primary factors that characterize variation in the registered functions. Each registered function is assumed to be predominantly composed of a linear combination of these two primary factors, and the function-specific weights for each observ","authors_text":"Cecilia Earls, Giles Hooker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-02T19:19:50Z","title":"Combining Functional Data Registration and Factor Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00587","kind":"arxiv","version":2},"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:a43a7178cb72017350605fd90ea380d1f84b2d9db34d4641fdd1c2a39be1fed0","target":"record","created_at":"2026-05-18T01:55:59Z","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":"9cc3c7e3821a8ea18655ab6281853e6563ad847b2c9bab5fa353b6ece47ccd4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-02T19:19:50Z","title_canon_sha256":"237b6176562b8130e1a191a91acfa6b57c2444fdf67e12e1e247a5e9a142910f"},"schema_version":"1.0","source":{"id":"1502.00587","kind":"arxiv","version":2}},"canonical_sha256":"91a31d44595862f0fad79e64235417b14a092298859298672aced043396c711b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91a31d44595862f0fad79e64235417b14a092298859298672aced043396c711b","first_computed_at":"2026-05-18T01:55:59.668356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:59.668356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"70OfBFibPj1hDqoqD0NQJ4iSGKu7NH4tnE/uVhhdyLRgSpck66H9ScNI9qQygxGxuqjiZyPgtPdh4N/rGEReAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:59.669023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00587","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a43a7178cb72017350605fd90ea380d1f84b2d9db34d4641fdd1c2a39be1fed0","sha256:b8fa980af689f65d4d042cd389fcd5c27322c2b66e15f353b6017ee9a47ebec2"],"state_sha256":"62e2f76af3727e31a676972c54834b8d2754cae7d6a1facc5868653c4826dfef"}