{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NOSYMDVAG4WWB223YENMCEQ7GF","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":"179b4d8ee88deca5ed334bd9284121339f345be549dcc56eea33972e3d4d97c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-08-02T20:13:41Z","title_canon_sha256":"69db06919f8a61a75e47c6abe7e6d705e627ba9fcbdf27b7a9d8a960a504df0d"},"schema_version":"1.0","source":{"id":"1508.00280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00280","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00280v1","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00280","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"pith_short_12","alias_value":"NOSYMDVAG4WW","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NOSYMDVAG4WWB223","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NOSYMDVA","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:2d0a48d19561d5a62c1ca484f99c0bcc37f9ab5bf539fca34a16a333987ada16","target":"graph","created_at":"2026-05-18T01:35:58Z","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 consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully explain a given set of independencies, and derive algorithms to efficiently enumerate such structures. Our results map out the space of faithful causal models for a given set of pairwise marginal independence relations. This allows us to show the extent to which causal inference is possible without using conditional independence tests.","authors_text":"Alexander Idelberger, Johannes Textor, Maciej Li\\'skiewicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-08-02T20:13:41Z","title":"Learning from Pairwise Marginal Independencies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00280","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":"sha256:1d9b917c899533bda04ca7fa633d94bf03a3be6c02c5dd49e29d6471e4394a1a","target":"record","created_at":"2026-05-18T01:35:58Z","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":"179b4d8ee88deca5ed334bd9284121339f345be549dcc56eea33972e3d4d97c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-08-02T20:13:41Z","title_canon_sha256":"69db06919f8a61a75e47c6abe7e6d705e627ba9fcbdf27b7a9d8a960a504df0d"},"schema_version":"1.0","source":{"id":"1508.00280","kind":"arxiv","version":1}},"canonical_sha256":"6ba5860ea0372d60eb5bc11ac1121f3152fa7b66d3ba642e841015cc1b341b3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ba5860ea0372d60eb5bc11ac1121f3152fa7b66d3ba642e841015cc1b341b3a","first_computed_at":"2026-05-18T01:35:58.536074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:58.536074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3L5K5AZo9GYyF7uYeBlqtFni1m7XO+ywNRdrXkEnChVwlE2ZklvDVS1QSYVhariYDAgRxCyGx9rBVp2EIMCEAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:58.536658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d9b917c899533bda04ca7fa633d94bf03a3be6c02c5dd49e29d6471e4394a1a","sha256:2d0a48d19561d5a62c1ca484f99c0bcc37f9ab5bf539fca34a16a333987ada16"],"state_sha256":"a3bb875a83e5134d673f3c3d35320ae8e66a0f940b42ff1f977404a3b484020e"}