{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:44ZWKK3SGLLSOZVEK6ERIH76WN","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":"7800ca8c4c6f6fca1e97a7ecfef3759b176d233dabb3c287b361c6999eb4fe69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-12T17:13:03Z","title_canon_sha256":"43fcc5054c11baf63c42ae8584c91fd842af816d388df2680eb510103f4942f5"},"schema_version":"1.0","source":{"id":"1409.3795","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3795","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3795v4","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3795","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"44ZWKK3SGLLS","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"44ZWKK3SGLLSOZVE","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"44ZWKK3S","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:bbc508770ffedacc96c3dd7e09e4c17a913d02fd60451b8bf61c1322024441cd","target":"graph","created_at":"2026-05-18T00:45:04Z","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":"Consider a set of categorical variables where at least one of them is binary. The log-linear model that describes the counts in the resulting contingency table implies a specific logistic regression model, with the binary variable as the outcome. Within the Bayesian framework, the $g$-prior and mixtures of $g$-priors are commonly assigned to the parameters of a generalized linear model. We prove that assigning a $g$-prior (or a mixture of $g$-priors) to the parameters of a certain log-linear model designates a $g$-prior (or a mixture of $g$-priors) on the parameters of the corresponding logist","authors_text":"Michail Papathomas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-12T17:13:03Z","title":"On the correspondence from Bayesian log-linear modelling to logistic regression modelling with $g$-priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3795","kind":"arxiv","version":4},"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:b31146dcc9a75d311aa60bf744b55d9549aa950763a2db34f08faac0b9af120c","target":"record","created_at":"2026-05-18T00:45:04Z","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":"7800ca8c4c6f6fca1e97a7ecfef3759b176d233dabb3c287b361c6999eb4fe69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-12T17:13:03Z","title_canon_sha256":"43fcc5054c11baf63c42ae8584c91fd842af816d388df2680eb510103f4942f5"},"schema_version":"1.0","source":{"id":"1409.3795","kind":"arxiv","version":4}},"canonical_sha256":"e733652b7232d72766a45789141ffeb34f40873a1648ec23358ba655ce84388a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e733652b7232d72766a45789141ffeb34f40873a1648ec23358ba655ce84388a","first_computed_at":"2026-05-18T00:45:04.332724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:04.332724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YFPonsGOdtN91uQwqXNilqCR+KhLX3uz63uQRlLqsZRnIuW1xpNKfAEqB/zH9pgobvODjp3uIgHxmCkVa29fDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:04.333089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3795","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b31146dcc9a75d311aa60bf744b55d9549aa950763a2db34f08faac0b9af120c","sha256:bbc508770ffedacc96c3dd7e09e4c17a913d02fd60451b8bf61c1322024441cd"],"state_sha256":"9c63f18f3e7777dd068dff818d85ac25df11b880d037185fd5c0e47c385294e4"}