{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:COAFIYMJSQZWUWNZPKBUI45RQU","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":"ea9798f8e8b62ea83034d919a2d6755fa5cc8f72ec8a0b97b90795d1a3abff50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-18T18:33:47Z","title_canon_sha256":"f3752eccf534832053e6c56d07534ec4ad9706a6dc782c635ac84847a3f7e934"},"schema_version":"1.0","source":{"id":"1302.4381","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4381","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4381v3","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4381","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"COAFIYMJSQZW","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"COAFIYMJSQZWUWNZ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"COAFIYMJ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e425b640407b9f446c1d47625a055605022bab8b8c64fce45a49ab310e651bfc","target":"graph","created_at":"2026-05-18T03:03:21Z","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 extend the theory of d-separation to cases in which data instances are not independent and identically distributed. We show that applying the rules of d-separation directly to the structure of probabilistic models of relational data inaccurately infers conditional independence. We introduce relational d-separation, a theory for deriving conditional independence facts from relational models. We provide a new representation, the abstract ground graph, that enables a sound, complete, and computationally efficient method for answering d-separation queries about relational models, and we present","authors_text":"David Jensen, Katerina Marazopoulou, Marc Maier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-18T18:33:47Z","title":"Reasoning about Independence in Probabilistic Models of Relational Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4381","kind":"arxiv","version":3},"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:fa4bfc898b64a7494449a1e789f2f5e947351f9ba53700079567c6e75181fc9f","target":"record","created_at":"2026-05-18T03:03:21Z","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":"ea9798f8e8b62ea83034d919a2d6755fa5cc8f72ec8a0b97b90795d1a3abff50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-18T18:33:47Z","title_canon_sha256":"f3752eccf534832053e6c56d07534ec4ad9706a6dc782c635ac84847a3f7e934"},"schema_version":"1.0","source":{"id":"1302.4381","kind":"arxiv","version":3}},"canonical_sha256":"138054618994336a59b97a834473b18526531fa0470b90fdaa7887cee059b65b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"138054618994336a59b97a834473b18526531fa0470b90fdaa7887cee059b65b","first_computed_at":"2026-05-18T03:03:21.127681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:21.127681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VN+1NhMjn2ryGHqnXrMsipsQj5UYf4hmJsgoW6o7dRA4yYZvuee5ewyoi8O/rox90d++PxEt1xf40/Win4waDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:21.128401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4381","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa4bfc898b64a7494449a1e789f2f5e947351f9ba53700079567c6e75181fc9f","sha256:e425b640407b9f446c1d47625a055605022bab8b8c64fce45a49ab310e651bfc"],"state_sha256":"51549f35b12a27a1d832605875700954be08d774d1eaaf6006434987a0b5846d"}