{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FSTYFR5YRWBFJQKEIGM5YOROGZ","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":"38128393e5a069d93045697553e67d5a80f3904e037bb0e87c66399eee030ca6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-30T21:12:07Z","title_canon_sha256":"e2c98d79ab9c43fef5089bd42b2ec23642ba6d334018f05bdefb3fcdedac9619"},"schema_version":"1.0","source":{"id":"1608.08659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08659","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08659v1","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08659","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"pith_short_12","alias_value":"FSTYFR5YRWBF","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSTYFR5YRWBFJQKE","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSTYFR5Y","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:3a7d677f799ee539a691d58d74ae60307987f182a86ca46bf2c808da598f7b0f","target":"graph","created_at":"2026-05-18T01:06:40Z","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":"Gaussian graphical models are widely used to represent conditional dependence among random variables. In this paper, we propose a novel estimator for data arising from a group of Gaussian graphical models that are themselves dependent. A motivating example is that of modeling gene expression collected on multiple tissues from the same individual: here the multivariate outcome is affected by dependencies acting not only at the level of the specific tissues, but also at the level of the whole body; existing methods that assume independence among graphs are not applicable in this case. To estimat","authors_text":"William Valdar, Yufeng Liu, Yuying Xie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-30T21:12:07Z","title":"Joint Estimation of Multiple Dependent Gaussian Graphical Models with Applications to Mouse Genomics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08659","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":"sha256:2a7578cc0cc884f876ae0e8f379409d4b36e2b82db060d82b98cc411ca33a67c","target":"record","created_at":"2026-05-18T01:06:40Z","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":"38128393e5a069d93045697553e67d5a80f3904e037bb0e87c66399eee030ca6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-30T21:12:07Z","title_canon_sha256":"e2c98d79ab9c43fef5089bd42b2ec23642ba6d334018f05bdefb3fcdedac9619"},"schema_version":"1.0","source":{"id":"1608.08659","kind":"arxiv","version":1}},"canonical_sha256":"2ca782c7b88d8254c1444199dc3a2e36505248eded16de535689dc99c0407994","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ca782c7b88d8254c1444199dc3a2e36505248eded16de535689dc99c0407994","first_computed_at":"2026-05-18T01:06:40.263925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:40.263925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UeFvU716MWp9lxRtbXoUiTlB6FTffqt51jhI1pSC6iHvEJgpTB6NgyPpTeGbkRnL2rDr6WNo7imkf24Xw7Z7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:40.264541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a7578cc0cc884f876ae0e8f379409d4b36e2b82db060d82b98cc411ca33a67c","sha256:3a7d677f799ee539a691d58d74ae60307987f182a86ca46bf2c808da598f7b0f"],"state_sha256":"3036502c7d76305d0767094eb69e7290039f16b887d5be1316616e27de9fe0fc"}