{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KXSWLRWYSHU7YVFXSX6DG2VLIX","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":"a2ee5edce92c08305f96258c6e329f41804744fd012bb97b8193e375e38174e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-19T08:16:47Z","title_canon_sha256":"9b0b22d052b4f7d2b5b42be4b9413e3844fee9cd9c9fcfbc07b2e14a1314b847"},"schema_version":"1.0","source":{"id":"1709.06288","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06288","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06288v1","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06288","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"pith_short_12","alias_value":"KXSWLRWYSHU7","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KXSWLRWYSHU7YVFX","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KXSWLRWY","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:83f8bb264e47b345a8521c58256e8350c284c26ca8bd62a9b5e302e392b1ef6e","target":"graph","created_at":"2026-05-18T00:34:53Z","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":"This article concerns a class of generalized linear mixed models for clustered data, where the random effects are mapped uniquely onto the grouping structure and are independent between groups. We derive necessary and sufficient conditions that enable the marginal likelihood of such class of models to be expressed in closed-form. Illustrations are provided using the Gaussian, Poisson, binomial and gamma distributions. These models are unified under a single umbrella of conjugate generalized linear mixed models, where \"conjugate\" refers to the fact that the marginal likelihood can be expressed ","authors_text":"Jarod Y.L. Lee, Louise M. Ryan, Peter J. Green","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-19T08:16:47Z","title":"Conjugate generalized linear mixed models for clustered data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06288","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:d09178795a7f8b803880a709dfb49d824793613ba8923e59de8a9e7025800599","target":"record","created_at":"2026-05-18T00:34:53Z","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":"a2ee5edce92c08305f96258c6e329f41804744fd012bb97b8193e375e38174e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-19T08:16:47Z","title_canon_sha256":"9b0b22d052b4f7d2b5b42be4b9413e3844fee9cd9c9fcfbc07b2e14a1314b847"},"schema_version":"1.0","source":{"id":"1709.06288","kind":"arxiv","version":1}},"canonical_sha256":"55e565c6d891e9fc54b795fc336aab45c27388a850b340cc4fd852894aa10094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55e565c6d891e9fc54b795fc336aab45c27388a850b340cc4fd852894aa10094","first_computed_at":"2026-05-18T00:34:53.688666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:53.688666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ansroRvoaWOon0SgkduagFtIGGo0wvzHIGGVoNvLPChVqCMjB8uhh3jZdJ5o022cmbFgJik8Ls6OIaiAv4IODg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:53.689279Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06288","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d09178795a7f8b803880a709dfb49d824793613ba8923e59de8a9e7025800599","sha256:83f8bb264e47b345a8521c58256e8350c284c26ca8bd62a9b5e302e392b1ef6e"],"state_sha256":"cdf52fbc388f470186be70cf78ae18137daaa90900a6dffee9c80f74268fee4f"}