{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H3ENSCMTIBBCY2XSUH2IXL6O7S","short_pith_number":"pith:H3ENSCMT","schema_version":"1.0","canonical_sha256":"3ec8d9099340422c6af2a1f48bafcefcb250650d7c5937c13794fe5472470e99","source":{"kind":"arxiv","id":"1512.09016","version":2},"attestation_state":"computed","paper":{"title":"Pairwise Markov properties for regression graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.OT","stat.TH"],"primary_cat":"math.ST","authors_text":"Kayvan Sadeghi, Nanny Wermuth","submitted_at":"2015-12-30T17:05:31Z","abstract_excerpt":"With a sequence of regressions, one may generate joint probability distributions. One starts with a joint, marginal distribution of context variables having possibly a concentration graph structure and continues with an ordered sequence of conditional distributions, named regressions in joint responses. The involved random variables may be discrete, continuous or of both types. Such a generating process specifies for each response a conditioning set which contains just its regressor variables and it leads to at least one valid ordering of all nodes in the corresponding regression graph which h"},"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":"1512.09016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-12-30T17:05:31Z","cross_cats_sorted":["stat.OT","stat.TH"],"title_canon_sha256":"61d08742200f4ad3407e336e03b96412c1e2bc28f35a032fb0ec25e2f84126e9","abstract_canon_sha256":"b9e83f88c90ddcc56ed1116aa1a0d39d3ea63b1390b9d57ac78669e7467fd8c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:34.194484Z","signature_b64":"1/uCq/UtP7LiAcXyTG7WqFdBiI6JgkPLGBeSD3t+o31Bur40fmvtjv1Qc77cGsbeMeZTyFffmYuy7VBazJh0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ec8d9099340422c6af2a1f48bafcefcb250650d7c5937c13794fe5472470e99","last_reissued_at":"2026-05-18T00:51:34.194028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:34.194028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pairwise Markov properties for regression graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.OT","stat.TH"],"primary_cat":"math.ST","authors_text":"Kayvan Sadeghi, Nanny Wermuth","submitted_at":"2015-12-30T17:05:31Z","abstract_excerpt":"With a sequence of regressions, one may generate joint probability distributions. One starts with a joint, marginal distribution of context variables having possibly a concentration graph structure and continues with an ordered sequence of conditional distributions, named regressions in joint responses. The involved random variables may be discrete, continuous or of both types. Such a generating process specifies for each response a conditioning set which contains just its regressor variables and it leads to at least one valid ordering of all nodes in the corresponding regression graph which h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09016","kind":"arxiv","version":2},"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":"1512.09016","created_at":"2026-05-18T00:51:34.194091+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.09016v2","created_at":"2026-05-18T00:51:34.194091+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09016","created_at":"2026-05-18T00:51:34.194091+00:00"},{"alias_kind":"pith_short_12","alias_value":"H3ENSCMTIBBC","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H3ENSCMTIBBCY2XS","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H3ENSCMT","created_at":"2026-05-18T12:29:22.688609+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/H3ENSCMTIBBCY2XSUH2IXL6O7S","json":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S.json","graph_json":"https://pith.science/api/pith-number/H3ENSCMTIBBCY2XSUH2IXL6O7S/graph.json","events_json":"https://pith.science/api/pith-number/H3ENSCMTIBBCY2XSUH2IXL6O7S/events.json","paper":"https://pith.science/paper/H3ENSCMT"},"agent_actions":{"view_html":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S","download_json":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S.json","view_paper":"https://pith.science/paper/H3ENSCMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.09016&json=true","fetch_graph":"https://pith.science/api/pith-number/H3ENSCMTIBBCY2XSUH2IXL6O7S/graph.json","fetch_events":"https://pith.science/api/pith-number/H3ENSCMTIBBCY2XSUH2IXL6O7S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S/action/storage_attestation","attest_author":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S/action/author_attestation","sign_citation":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S/action/citation_signature","submit_replication":"https://pith.science/pith/H3ENSCMTIBBCY2XSUH2IXL6O7S/action/replication_record"}},"created_at":"2026-05-18T00:51:34.194091+00:00","updated_at":"2026-05-18T00:51:34.194091+00:00"}