{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UXXPBDELAJZEV22HYMDNF2HFSJ","short_pith_number":"pith:UXXPBDEL","schema_version":"1.0","canonical_sha256":"a5eef08c8b02724aeb47c306d2e8e5926cdf6f705b9408507192fd0285a9a9b2","source":{"kind":"arxiv","id":"1303.1501","version":1},"attestation_state":"computed","paper":{"title":"Deciding Morality of Graphs is NP-complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Judea Pearl, Tom S. Verma","submitted_at":"2013-03-06T14:22:53Z","abstract_excerpt":"In order to find a causal explanation for data presented in the form of covariance and concentration matrices it is necessary to decide if the graph formed by such associations is a projection of a directed acyclic graph (dag).  We show that the general problem of deciding whether such a dag exists is NP-complete."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1303.1501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-06T14:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"373c080d6bfdafe375b31469ac3afeb1b6760037c7e4853ce2a6678f263f8383","abstract_canon_sha256":"9a55a7ea418f556ec8b3166ebaf9198eeaf87b50367330641c434ba266bc2e50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:42.516638Z","signature_b64":"4r9jvDE/wv7HAHbh+k7TBCLHHbr56I9uPFNZ2jFaDHj+p9c9AkdHquMT6QlHbuzTgcCNiDwJqA5/j0AKvbU0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5eef08c8b02724aeb47c306d2e8e5926cdf6f705b9408507192fd0285a9a9b2","last_reissued_at":"2026-05-18T03:31:42.516112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:42.516112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deciding Morality of Graphs is NP-complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Judea Pearl, Tom S. Verma","submitted_at":"2013-03-06T14:22:53Z","abstract_excerpt":"In order to find a causal explanation for data presented in the form of covariance and concentration matrices it is necessary to decide if the graph formed by such associations is a projection of a directed acyclic graph (dag).  We show that the general problem of deciding whether such a dag exists is NP-complete."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1501","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1303.1501","created_at":"2026-05-18T03:31:42.516184+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.1501v1","created_at":"2026-05-18T03:31:42.516184+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1501","created_at":"2026-05-18T03:31:42.516184+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXXPBDELAJZE","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXXPBDELAJZEV22H","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXXPBDEL","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ","json":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ.json","graph_json":"https://pith.science/api/pith-number/UXXPBDELAJZEV22HYMDNF2HFSJ/graph.json","events_json":"https://pith.science/api/pith-number/UXXPBDELAJZEV22HYMDNF2HFSJ/events.json","paper":"https://pith.science/paper/UXXPBDEL"},"agent_actions":{"view_html":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ","download_json":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ.json","view_paper":"https://pith.science/paper/UXXPBDEL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.1501&json=true","fetch_graph":"https://pith.science/api/pith-number/UXXPBDELAJZEV22HYMDNF2HFSJ/graph.json","fetch_events":"https://pith.science/api/pith-number/UXXPBDELAJZEV22HYMDNF2HFSJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ/action/storage_attestation","attest_author":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ/action/author_attestation","sign_citation":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ/action/citation_signature","submit_replication":"https://pith.science/pith/UXXPBDELAJZEV22HYMDNF2HFSJ/action/replication_record"}},"created_at":"2026-05-18T03:31:42.516184+00:00","updated_at":"2026-05-18T03:31:42.516184+00:00"}