{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OMO3WHR433TCRIJOSYFITFLAQ4","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":"1a760fd1bcfcb135890dba1307bb1f76bf0c075b2639f7d76aefe9a64b965989","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-09T09:50:00Z","title_canon_sha256":"c133495ea2aa938181362de651adbfe87ae1131f89fcbb864c3ecb4a835bb6af"},"schema_version":"1.0","source":{"id":"2411.06129","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.06129","created_at":"2026-07-05T11:35:30Z"},{"alias_kind":"arxiv_version","alias_value":"2411.06129v3","created_at":"2026-07-05T11:35:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.06129","created_at":"2026-07-05T11:35:30Z"},{"alias_kind":"pith_short_12","alias_value":"OMO3WHR433TC","created_at":"2026-07-05T11:35:30Z"},{"alias_kind":"pith_short_16","alias_value":"OMO3WHR433TCRIJO","created_at":"2026-07-05T11:35:30Z"},{"alias_kind":"pith_short_8","alias_value":"OMO3WHR4","created_at":"2026-07-05T11:35:30Z"}],"graph_snapshots":[{"event_id":"sha256:206a4871b6ebe6070f929d563accbcb5626e8fdb0714665acfa856804dd7ca53","target":"graph","created_at":"2026-07-05T11:35:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.06129/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a principled framework for nonparametric empirical Bayes (EB) estimation, based on the idea that the prior should be consistent with the observed posterior and that Bayesian updating should be stable. Focusing on discretized priors, we characterize EB estimators as fixed points of a posterior belief operator. We establish the uniqueness of such fixed points and illustrate how the approach improves transparency and interpretability in standard EB settings, including a recent model of discrimination.","authors_text":"Stefano Demichelis, Valentino Dardanoni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-09T09:50:00Z","title":"Rational Expectations in Empirical Bayes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.06129","kind":"arxiv","version":3},"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:c74a0fb0b0d396145eec6bf5f4d5d32210c1754c5ad467f0eac07499b060b3c2","target":"record","created_at":"2026-07-05T11:35:30Z","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":"1a760fd1bcfcb135890dba1307bb1f76bf0c075b2639f7d76aefe9a64b965989","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-09T09:50:00Z","title_canon_sha256":"c133495ea2aa938181362de651adbfe87ae1131f89fcbb864c3ecb4a835bb6af"},"schema_version":"1.0","source":{"id":"2411.06129","kind":"arxiv","version":3}},"canonical_sha256":"731dbb1e3cdee628a12e960a8995608738e205c106cf8a8ccd9bea8d45d966d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"731dbb1e3cdee628a12e960a8995608738e205c106cf8a8ccd9bea8d45d966d4","first_computed_at":"2026-07-05T11:35:30.696279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:30.696279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4YIgBEQgwFGf0MpBV/mcMp6puGpH3stXH7oJN2uL8B9c1P3ORpOHSK2RgO+djaL9WST7i0Ym+03Mzds1oslMAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:30.696747Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.06129","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c74a0fb0b0d396145eec6bf5f4d5d32210c1754c5ad467f0eac07499b060b3c2","sha256:206a4871b6ebe6070f929d563accbcb5626e8fdb0714665acfa856804dd7ca53"],"state_sha256":"a509afb653ae8ebe37951d1e320d076580e70a5d36ef974f6211602618c194d7"}