{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FSTYFR5YRWBFJQKEIGM5YOROGZ","short_pith_number":"pith:FSTYFR5Y","canonical_record":{"source":{"id":"1608.08659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-30T21:12:07Z","cross_cats_sorted":[],"title_canon_sha256":"e2c98d79ab9c43fef5089bd42b2ec23642ba6d334018f05bdefb3fcdedac9619","abstract_canon_sha256":"38128393e5a069d93045697553e67d5a80f3904e037bb0e87c66399eee030ca6"},"schema_version":"1.0"},"canonical_sha256":"2ca782c7b88d8254c1444199dc3a2e36505248eded16de535689dc99c0407994","source":{"kind":"arxiv","id":"1608.08659","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FSTYFR5YRWBFJQKEIGM5YOROGZ","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-30T21:12:07Z","cross_cats_sorted":[],"title_canon_sha256":"e2c98d79ab9c43fef5089bd42b2ec23642ba6d334018f05bdefb3fcdedac9619","abstract_canon_sha256":"38128393e5a069d93045697553e67d5a80f3904e037bb0e87c66399eee030ca6"},"schema_version":"1.0"},"canonical_sha256":"2ca782c7b88d8254c1444199dc3a2e36505248eded16de535689dc99c0407994","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:40.264541Z","signature_b64":"UeFvU716MWp9lxRtbXoUiTlB6FTffqt51jhI1pSC6iHvEJgpTB6NgyPpTeGbkRnL2rDr6WNo7imkf24Xw7Z7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ca782c7b88d8254c1444199dc3a2e36505248eded16de535689dc99c0407994","last_reissued_at":"2026-05-18T01:06:40.263925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:40.263925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08659","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47YnIhxPeGkkC25X0hmVbxvMeTDdlNE24bXDpXZKB/yXo6xiaYrA0YJZ/sypwPl067dZuWbH4sTIcfor0KcQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:43:27.958948Z"},"content_sha256":"2a7578cc0cc884f876ae0e8f379409d4b36e2b82db060d82b98cc411ca33a67c","schema_version":"1.0","event_id":"sha256:2a7578cc0cc884f876ae0e8f379409d4b36e2b82db060d82b98cc411ca33a67c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FSTYFR5YRWBFJQKEIGM5YOROGZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Estimation of Multiple Dependent Gaussian Graphical Models with Applications to Mouse Genomics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"William Valdar, Yufeng Liu, Yuying Xie","submitted_at":"2016-08-30T21:12:07Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08659","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:06:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTv+xAk59MCGekHOXUu+H6+9dyCcYE6rZTOkOlasls1ZaTYARTWBfqYWHjxOz2udd86X5WSPo8iI7MgikQ7GDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:43:27.959304Z"},"content_sha256":"3a7d677f799ee539a691d58d74ae60307987f182a86ca46bf2c808da598f7b0f","schema_version":"1.0","event_id":"sha256:3a7d677f799ee539a691d58d74ae60307987f182a86ca46bf2c808da598f7b0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/bundle.json","state_url":"https://pith.science/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/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":"2026-06-03T07:43:27Z","links":{"resolver":"https://pith.science/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ","bundle":"https://pith.science/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/bundle.json","state":"https://pith.science/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FSTYFR5YRWBFJQKEIGM5YOROGZ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KoMTJ93agHzetxfGQHLugK8cyPre2heF86TagmsDWrbHPqEmcw/R6vFNT0cw6vGX9HAEwijxpEjEwboUf5EsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:43:27.961253Z","bundle_sha256":"6f253dedda2c6844a90dc9bee7af545da9dff821a336e2722585a29f736a67f9"}}