{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RZWNNHGVW7CBB4PCWMBRHE7SYI","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":"a35678587d0f9b5a5004ca8f998ff9e34a7ea33f0db8c1b7c8c8cee7cb241b8d","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-04T07:29:08Z","title_canon_sha256":"20d4b1cc69bf144810d810955a72f7d7c4229777765ffa96ecb050a5d52a91e0"},"schema_version":"1.0","source":{"id":"1310.1187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1187","created_at":"2026-05-18T02:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1187v1","created_at":"2026-05-18T02:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1187","created_at":"2026-05-18T02:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"RZWNNHGVW7CB","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RZWNNHGVW7CBB4PC","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RZWNNHGV","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:23b8d307e56c8e36f6c473c50cadf247b931dcfeec73eadd43017b037d7ff100","target":"graph","created_at":"2026-05-18T02:37:58Z","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 introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such that unrestricted label sets determine which edges can be deleted from the underlying directed acyclic graph (DAG) for a given context. Several properties of these models are derived, including a generalization of the concept of Markov equivalence classes. Efficient Bayesian learning of LDAGs is enabled by introducing an LDAG-based factorization of the Dirich","authors_text":"Henrik Nyman, Johan Pensar, Jukka Corander, Timo Koski","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-04T07:29:08Z","title":"Labeled Directed Acyclic Graphs: a generalization of context-specific independence in directed graphical models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1187","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":"sha256:194171ccb127573e97bb79269a36e92e66ee0549f9d3f9c840d7e66c46c57c2d","target":"record","created_at":"2026-05-18T02:37:58Z","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":"a35678587d0f9b5a5004ca8f998ff9e34a7ea33f0db8c1b7c8c8cee7cb241b8d","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-10-04T07:29:08Z","title_canon_sha256":"20d4b1cc69bf144810d810955a72f7d7c4229777765ffa96ecb050a5d52a91e0"},"schema_version":"1.0","source":{"id":"1310.1187","kind":"arxiv","version":1}},"canonical_sha256":"8e6cd69cd5b7c410f1e2b3031393f2c219edb440cbf33e7fdd418dc2df1642e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e6cd69cd5b7c410f1e2b3031393f2c219edb440cbf33e7fdd418dc2df1642e2","first_computed_at":"2026-05-18T02:37:58.895700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:58.895700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XMaZHhRP72iErc3ui2bXahD6bX6cC4li9w2H9GWqqN+H5KInJHv5nOcEDtszIf/c/ZuWsk9rzk7rINQg50lXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:58.896089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:194171ccb127573e97bb79269a36e92e66ee0549f9d3f9c840d7e66c46c57c2d","sha256:23b8d307e56c8e36f6c473c50cadf247b931dcfeec73eadd43017b037d7ff100"],"state_sha256":"21e57173193852692778f4bb55994ffd28c4e7294454337f09e037ccd88d2839"}