{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LIO47PS65QTUDI33ZF4HRAP3XN","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":"d8767f495a9b6783176eec604f10acb08ba2857d89dcd30ce338873fa00f118e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-09-30T22:38:47Z","title_canon_sha256":"b67b25b2707c0cfc222a2c1275459cf2cc64727dfd0006ac40188924856bcf41"},"schema_version":"1.0","source":{"id":"1110.0043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0043","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0043v1","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0043","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"LIO47PS65QTU","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LIO47PS65QTUDI33","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LIO47PS6","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:27fbace5e172b18db37bc698be0b68c6c33b0af43c3dbe4f80ec5e0841ac7447","target":"graph","created_at":"2026-05-18T02:21:35Z","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 paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make, but for each row the data may be low dimensional. A Bayesian decision-theoretic approach for this problem is implemented with the overall loss function being a cost-weighted linear combination of Type I and Type II loss functions. The class of loss functions considered allows for the use of the false discovery rate (FDR), false nondiscovery rate (FNR), and mis","authors_text":"Edsel A. Pe\\~na, Wensong Wu","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-09-30T22:38:47Z","title":"Bayes Multiple Decision Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0043","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":"sha256:64f6e9a73953242eacb941abbf42a60451ccead604d477eacdd3ed52be15819c","target":"record","created_at":"2026-05-18T02:21:35Z","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":"d8767f495a9b6783176eec604f10acb08ba2857d89dcd30ce338873fa00f118e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-09-30T22:38:47Z","title_canon_sha256":"b67b25b2707c0cfc222a2c1275459cf2cc64727dfd0006ac40188924856bcf41"},"schema_version":"1.0","source":{"id":"1110.0043","kind":"arxiv","version":1}},"canonical_sha256":"5a1dcfbe5eec2741a37bc9787881fbbb5f2f5845b380f1d4605c220ea531c7be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a1dcfbe5eec2741a37bc9787881fbbb5f2f5845b380f1d4605c220ea531c7be","first_computed_at":"2026-05-18T02:21:35.763969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:35.763969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7k1n3T2grKUI+Z5Nd1HcIfwU26TDZxO01Vcc3o9CNZvS61cY2PPvx8OguK1x2LpkTSCibs0L5pS8tlOl2oVRCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:35.764599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64f6e9a73953242eacb941abbf42a60451ccead604d477eacdd3ed52be15819c","sha256:27fbace5e172b18db37bc698be0b68c6c33b0af43c3dbe4f80ec5e0841ac7447"],"state_sha256":"d4da1f639a72ca686c307c480352b94698bbd3760c64907eb2db6eef7587c1d5"}