{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:RGFYCVKDR5LDOX745HDFMK3FOH","short_pith_number":"pith:RGFYCVKD","canonical_record":{"source":{"id":"2102.00067","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-01-29T21:05:25Z","cross_cats_sorted":[],"title_canon_sha256":"59a668a6bea04d07eaab4d005984c8375987c3e87fa214b5d362d098aa60048a","abstract_canon_sha256":"3f6fd67b9828cd67db8b99c31eb2180bb7b6b9a59216a41e422310c2bda7e54d"},"schema_version":"1.0"},"canonical_sha256":"898b8155438f56375ffce9c6562b6571cf10580768e2e4e3d0d2f1ebb7760078","source":{"kind":"arxiv","id":"2102.00067","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.00067","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"2102.00067v2","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.00067","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"RGFYCVKDR5LD","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_16","alias_value":"RGFYCVKDR5LDOX74","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_8","alias_value":"RGFYCVKD","created_at":"2026-07-05T02:13:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:RGFYCVKDR5LDOX745HDFMK3FOH","target":"record","payload":{"canonical_record":{"source":{"id":"2102.00067","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-01-29T21:05:25Z","cross_cats_sorted":[],"title_canon_sha256":"59a668a6bea04d07eaab4d005984c8375987c3e87fa214b5d362d098aa60048a","abstract_canon_sha256":"3f6fd67b9828cd67db8b99c31eb2180bb7b6b9a59216a41e422310c2bda7e54d"},"schema_version":"1.0"},"canonical_sha256":"898b8155438f56375ffce9c6562b6571cf10580768e2e4e3d0d2f1ebb7760078","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:13:22.349768Z","signature_b64":"m5RGGa9TeNWI1lQPbc4iMEGWe3G8RztSgT7xJ7oCSHs/6uLV7GTQtwI4torY6RKzSVyRdmkenbCmE9+jFbkaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"898b8155438f56375ffce9c6562b6571cf10580768e2e4e3d0d2f1ebb7760078","last_reissued_at":"2026-07-05T02:13:22.349309Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:13:22.349309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.00067","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4xm5uMCo9mpao/aaq6/OvjVAOGtO2UtFmS7B4B3JV1rb/AREV5FfKuJ7imv4YtQLZN/0N2Td2Mng926m4pGnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T04:05:48.430542Z"},"content_sha256":"342a24af2d4e15787cc5ff777f26df87b629a20f7da4a926f9d714cc3a646fbf","schema_version":"1.0","event_id":"sha256:342a24af2d4e15787cc5ff777f26df87b629a20f7da4a926f9d714cc3a646fbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:RGFYCVKDR5LDOX745HDFMK3FOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Block Sparse Functional Principal Components Analysis for Longitudinal Microbiome Multi-Omics Data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Austin D. Swafford, Chris Elrod, Jane J. Kim, Lingjing Jiang, Rob Knight, Wesley K. Thompson","submitted_at":"2021-01-29T21:05:25Z","abstract_excerpt":"Microbiome researchers often need to model the temporal dynamics of multiple complex, nonlinear outcome trajectories simultaneously. This motivates our development of multivariate Sparse Functional Principal Components Analysis (mSFPCA), extending existing SFPCA methods to simultaneously characterize multiple temporal trajectories and their inter-relationships. As with existing SFPCA methods, the mSFPCA algorithm characterizes each trajectory as a smooth mean plus a weighted combination of the smooth major modes of variation about the mean, where the weights are given by the component scores f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.00067","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.00067/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtFrTKS+tXjw7tnE1tmnPw2eExa7dMMociYqV0MRwn9rDGiSDRguOsNGeLj1vOiHLV5GUoZyyZFWgCUx3UhyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T04:05:48.430924Z"},"content_sha256":"5f5fe3424b8b9ba0c264b057f40b62b04c123c1039c2fabb6621ba168c11e6f2","schema_version":"1.0","event_id":"sha256:5f5fe3424b8b9ba0c264b057f40b62b04c123c1039c2fabb6621ba168c11e6f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGFYCVKDR5LDOX745HDFMK3FOH/bundle.json","state_url":"https://pith.science/pith/RGFYCVKDR5LDOX745HDFMK3FOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGFYCVKDR5LDOX745HDFMK3FOH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-10T04:05:48Z","links":{"resolver":"https://pith.science/pith/RGFYCVKDR5LDOX745HDFMK3FOH","bundle":"https://pith.science/pith/RGFYCVKDR5LDOX745HDFMK3FOH/bundle.json","state":"https://pith.science/pith/RGFYCVKDR5LDOX745HDFMK3FOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGFYCVKDR5LDOX745HDFMK3FOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RGFYCVKDR5LDOX745HDFMK3FOH","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":"3f6fd67b9828cd67db8b99c31eb2180bb7b6b9a59216a41e422310c2bda7e54d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-01-29T21:05:25Z","title_canon_sha256":"59a668a6bea04d07eaab4d005984c8375987c3e87fa214b5d362d098aa60048a"},"schema_version":"1.0","source":{"id":"2102.00067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.00067","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"2102.00067v2","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.00067","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"RGFYCVKDR5LD","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_16","alias_value":"RGFYCVKDR5LDOX74","created_at":"2026-07-05T02:13:22Z"},{"alias_kind":"pith_short_8","alias_value":"RGFYCVKD","created_at":"2026-07-05T02:13:22Z"}],"graph_snapshots":[{"event_id":"sha256:5f5fe3424b8b9ba0c264b057f40b62b04c123c1039c2fabb6621ba168c11e6f2","target":"graph","created_at":"2026-07-05T02:13:22Z","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/2102.00067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Microbiome researchers often need to model the temporal dynamics of multiple complex, nonlinear outcome trajectories simultaneously. This motivates our development of multivariate Sparse Functional Principal Components Analysis (mSFPCA), extending existing SFPCA methods to simultaneously characterize multiple temporal trajectories and their inter-relationships. As with existing SFPCA methods, the mSFPCA algorithm characterizes each trajectory as a smooth mean plus a weighted combination of the smooth major modes of variation about the mean, where the weights are given by the component scores f","authors_text":"Austin D. Swafford, Chris Elrod, Jane J. Kim, Lingjing Jiang, Rob Knight, Wesley K. Thompson","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-01-29T21:05:25Z","title":"Multi-Block Sparse Functional Principal Components Analysis for Longitudinal Microbiome Multi-Omics Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.00067","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":"sha256:342a24af2d4e15787cc5ff777f26df87b629a20f7da4a926f9d714cc3a646fbf","target":"record","created_at":"2026-07-05T02:13:22Z","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":"3f6fd67b9828cd67db8b99c31eb2180bb7b6b9a59216a41e422310c2bda7e54d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-01-29T21:05:25Z","title_canon_sha256":"59a668a6bea04d07eaab4d005984c8375987c3e87fa214b5d362d098aa60048a"},"schema_version":"1.0","source":{"id":"2102.00067","kind":"arxiv","version":2}},"canonical_sha256":"898b8155438f56375ffce9c6562b6571cf10580768e2e4e3d0d2f1ebb7760078","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"898b8155438f56375ffce9c6562b6571cf10580768e2e4e3d0d2f1ebb7760078","first_computed_at":"2026-07-05T02:13:22.349309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:13:22.349309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5RGGa9TeNWI1lQPbc4iMEGWe3G8RztSgT7xJ7oCSHs/6uLV7GTQtwI4torY6RKzSVyRdmkenbCmE9+jFbkaBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:13:22.349768Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.00067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:342a24af2d4e15787cc5ff777f26df87b629a20f7da4a926f9d714cc3a646fbf","sha256:5f5fe3424b8b9ba0c264b057f40b62b04c123c1039c2fabb6621ba168c11e6f2"],"state_sha256":"cb2a10989ae6bf7bf0cf6858bf5e754d46a39251815f4da6fe799bcdfc05a2c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLTwUYKAJpYgw3/NVlXcwUp9NRu24cfxe+C/VCIEdbyWylCpYYZvLwFEhzIeYbCXE9FoUODwDUJUJmkSU3VoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T04:05:48.433179Z","bundle_sha256":"dffdb2f65e86e2617e90156983f1d7b4d2a6f8dfd1369806e468881481ac8a8b"}}