{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I5WBUCJS5G2D3DXWFXYDHWB2F2","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":"1b95d1a51ec4ccdf22581c4810c85a229f06cde072121da7996e35e764a54aba","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-14T14:04:50Z","title_canon_sha256":"fbc670dd3d63456b37aca31ebc10926eedd08c9d0da183f7eb53bb2a935f5614"},"schema_version":"1.0","source":{"id":"1712.05229","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05229","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05229v2","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05229","created_at":"2026-05-18T00:27:24Z"},{"alias_kind":"pith_short_12","alias_value":"I5WBUCJS5G2D","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I5WBUCJS5G2D3DXW","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I5WBUCJS","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:eb4e9987035212b7b72eab00ec0879e5013bbddbc6adbe7c6ed83177f1d20ed2","target":"graph","created_at":"2026-05-18T00:27:24Z","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":"In this work we handle with categorical (ordinal) variables and we focus on the (in)dependence relationship under the marginal, conditional and context-specific perspective. If the first two are well known, the last one concerns independencies holding only in a subspace of the outcome space. We take advantage from the Hierarchical Multinomial Marginal models and provide several original results about the representation of context-specific independencies through these models. By considering the graphical aspect, we take advantage from the chain graphical models. The resultant graphical model is","authors_text":"Federica Nicolussi, Manuela Cazzaro","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-14T14:04:50Z","title":"Context-specific independencies for ordinal variables in chain regression models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05229","kind":"arxiv","version":2},"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":"sha256:2de8d47f66081e28d15631e63b74ba97db7bac295dc2e86530e58bfeba5a929d","target":"record","created_at":"2026-05-18T00:27:24Z","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":"1b95d1a51ec4ccdf22581c4810c85a229f06cde072121da7996e35e764a54aba","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-14T14:04:50Z","title_canon_sha256":"fbc670dd3d63456b37aca31ebc10926eedd08c9d0da183f7eb53bb2a935f5614"},"schema_version":"1.0","source":{"id":"1712.05229","kind":"arxiv","version":2}},"canonical_sha256":"476c1a0932e9b43d8ef62df033d83a2eafcfc5da918cb04c0fb42d03e40d2e6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"476c1a0932e9b43d8ef62df033d83a2eafcfc5da918cb04c0fb42d03e40d2e6c","first_computed_at":"2026-05-18T00:27:24.347372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:24.347372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x8DiK+iaMV8sWwZNlaQ908puPaE6iVNiJYJFkwdPpxHITC9OlktX/3B5GMKDC5CUA/07y8CSLNZV3dVzQdk8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:24.347919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05229","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2de8d47f66081e28d15631e63b74ba97db7bac295dc2e86530e58bfeba5a929d","sha256:eb4e9987035212b7b72eab00ec0879e5013bbddbc6adbe7c6ed83177f1d20ed2"],"state_sha256":"6a04c7b0994df9f6212e2eeea2266582bb250e2f523eaacd16ac963694b1737b"}