{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QQRSFVHWWLVKVFQ7FJ66GTCGKH","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":"3847ece2a7dba2393b5c869d65c21b22d254f83d0ec8cf48a1fd16d787692db6","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-08T16:20:59Z","title_canon_sha256":"b814b46cf1ebf5c191bfe6e55fd557317a91119f10b2b4b16d5e3ed2c550123d"},"schema_version":"1.0","source":{"id":"1903.03531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03531","created_at":"2026-05-17T23:51:45Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03531v1","created_at":"2026-05-17T23:51:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03531","created_at":"2026-05-17T23:51:45Z"},{"alias_kind":"pith_short_12","alias_value":"QQRSFVHWWLVK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QQRSFVHWWLVKVFQ7","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QQRSFVHW","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:f1f04d18d118346e235d443f88893eb150f443fee7ccb1ee04f59bb18e8d16a0","target":"graph","created_at":"2026-05-17T23:51:45Z","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":"Estimation of the covariance matrix for high-dimensional multivariate datasets is a challenging and important problem in modern statistics. In this paper, we focus on high-dimensional Gaussian DAG models where sparsity is induced on the Cholesky factor L of the inverse covariance matrix. In recent work, ([Cao, Khare, and Ghosh, 2019]), we established high-dimensional sparsity selection consistency for a hierarchical Bayesian DAG model, where an Erdos-Renyi prior is placed on the sparsity pattern in the Cholesky factor L, and a DAG-Wishart prior is placed on the resulting non-zero Cholesky entr","authors_text":"Kshitij Khare, Malay Ghosh, Xuan Cao","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-08T16:20:59Z","title":"Consistent Bayesian Sparsity Selection for High-dimensional Gaussian DAG Models with Multiplicative and Beta-mixture Priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03531","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":"sha256:6a0b9f1ef4750ddd1e05a8de3cc56d9dd90768e88e796c5eaaf3aa57ea4ea6fa","target":"record","created_at":"2026-05-17T23:51:45Z","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":"3847ece2a7dba2393b5c869d65c21b22d254f83d0ec8cf48a1fd16d787692db6","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-03-08T16:20:59Z","title_canon_sha256":"b814b46cf1ebf5c191bfe6e55fd557317a91119f10b2b4b16d5e3ed2c550123d"},"schema_version":"1.0","source":{"id":"1903.03531","kind":"arxiv","version":1}},"canonical_sha256":"842322d4f6b2eaaa961f2a7de34c4651d710f888e2479133e53440ec2ab85e35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"842322d4f6b2eaaa961f2a7de34c4651d710f888e2479133e53440ec2ab85e35","first_computed_at":"2026-05-17T23:51:45.218261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:45.218261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+ONsCDeKIJl2DoWyUj+UUaa9C/v4Z8ErWOkx86zSoZaujzhRq0af5Smt407CO04kuNR8A8MbQLG8B9CTV/jOCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:45.218774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.03531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a0b9f1ef4750ddd1e05a8de3cc56d9dd90768e88e796c5eaaf3aa57ea4ea6fa","sha256:f1f04d18d118346e235d443f88893eb150f443fee7ccb1ee04f59bb18e8d16a0"],"state_sha256":"33d141dcd1d8048d33d5fdf26fae1b58164ef849137be4b982068f9c9719dd2f"}