{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:O7LPRPPNAEOTALU2HQLLI6HLST","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":"7b507b310763327ecfe3f5aca2b630e092f8957263bc2c12c08cf207932e2d92","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-20T23:09:30Z","title_canon_sha256":"6969d9484e4da547187e12d9039ee7a5f047d5f3a575f080f41813d5e1a1e9b5"},"schema_version":"1.0","source":{"id":"2411.13748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13748","created_at":"2026-07-05T10:30:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13748v2","created_at":"2026-07-05T10:30:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13748","created_at":"2026-07-05T10:30:58Z"},{"alias_kind":"pith_short_12","alias_value":"O7LPRPPNAEOT","created_at":"2026-07-05T10:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"O7LPRPPNAEOTALU2","created_at":"2026-07-05T10:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"O7LPRPPN","created_at":"2026-07-05T10:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:e4b6e05735722196d0b57d30b000b82f0cc27b53c3eef3830e6b9413fcc6b0be","target":"graph","created_at":"2026-07-05T10:30:58Z","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/2411.13748/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To design Bayesian studies, criteria for the operating characteristics of posterior analyses - such as power and the type I error rate - are often assessed by estimating sampling distributions of posterior probabilities via simulation. In this paper, we propose an economical method to determine optimal sample sizes and decision criteria for such studies. Using our theoretical results that model posterior probabilities as a function of the sample size, we assess operating characteristics throughout the sample size space given simulations conducted at only two sample sizes. These theoretical res","authors_text":"Luke Hagar, Nathaniel T. Stevens","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-20T23:09:30Z","title":"An Economical Approach to Design Posterior Analyses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13748","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":"sha256:0177c4b684b0dffb589286dab7314a2b8cf3a316308bd066b103ff71756f29f9","target":"record","created_at":"2026-07-05T10:30:58Z","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":"7b507b310763327ecfe3f5aca2b630e092f8957263bc2c12c08cf207932e2d92","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-11-20T23:09:30Z","title_canon_sha256":"6969d9484e4da547187e12d9039ee7a5f047d5f3a575f080f41813d5e1a1e9b5"},"schema_version":"1.0","source":{"id":"2411.13748","kind":"arxiv","version":2}},"canonical_sha256":"77d6f8bded011d302e9a3c16b478eb94e883ddaef569216ee2ac78065cd6ee15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77d6f8bded011d302e9a3c16b478eb94e883ddaef569216ee2ac78065cd6ee15","first_computed_at":"2026-07-05T10:30:58.166626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:30:58.166626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fTgit5qusthetv8ekXx1H7bNMwAn5ALybIBFPlENLmGRPmgnJvJp3dXXqSBDR2zLxXsPscgDXJWlBDoi+VNyBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:30:58.167193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0177c4b684b0dffb589286dab7314a2b8cf3a316308bd066b103ff71756f29f9","sha256:e4b6e05735722196d0b57d30b000b82f0cc27b53c3eef3830e6b9413fcc6b0be"],"state_sha256":"ecce62731116c357feea00285cd47bfaa1124e6dde526a5c4ecc5fa8a2e0ad3b"}