{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:K7FXHIFOO5QELV7ANZSZ6GJVQR","short_pith_number":"pith:K7FXHIFO","canonical_record":{"source":{"id":"1312.4366","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-16T14:07:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"1a52fe93c88984f576275692c0c4334623e0067d438e2309674addf290445b9f","abstract_canon_sha256":"1ed3314cc513790671ec58ff621b14eaadf9b94fb5e6cd59564af119a348805a"},"schema_version":"1.0"},"canonical_sha256":"57cb73a0ae776045d7e06e659f19358458167f77d732bbf589e231f4d9639b3e","source":{"kind":"arxiv","id":"1312.4366","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4366","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4366v1","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4366","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"K7FXHIFOO5QE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K7FXHIFOO5QELV7A","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K7FXHIFO","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:K7FXHIFOO5QELV7ANZSZ6GJVQR","target":"record","payload":{"canonical_record":{"source":{"id":"1312.4366","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-16T14:07:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"1a52fe93c88984f576275692c0c4334623e0067d438e2309674addf290445b9f","abstract_canon_sha256":"1ed3314cc513790671ec58ff621b14eaadf9b94fb5e6cd59564af119a348805a"},"schema_version":"1.0"},"canonical_sha256":"57cb73a0ae776045d7e06e659f19358458167f77d732bbf589e231f4d9639b3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:34.766436Z","signature_b64":"6eqYf3K/4+W2kumWbDiaXezNAyKhDkxNPI6IlkSz/B+IhWXIjIYZP83q5sYf0D4IeHt1uz+dZ4gXYidkveLfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57cb73a0ae776045d7e06e659f19358458167f77d732bbf589e231f4d9639b3e","last_reissued_at":"2026-05-18T03:04:34.765583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:34.765583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.4366","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:04:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2O9BRA503TXSRRyT695w3BTm8JicHe0rmY3DQKTgtH62EToqMazp9JXPROaNqRGFGfnhHNTPWoUbDvh3HNpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:21:45.560623Z"},"content_sha256":"26783e9c50663bc84e9c278ba8aa2eaf7c9cee98d8bb1318aee60d38f8d92dc8","schema_version":"1.0","event_id":"sha256:26783e9c50663bc84e9c278ba8aa2eaf7c9cee98d8bb1318aee60d38f8d92dc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:K7FXHIFOO5QELV7ANZSZ6GJVQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dominance properties of constrained Bayes and empirical Bayes estimators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Tatsuya Kubokawa, William E. Strawderman","submitted_at":"2013-12-16T14:07:22Z","abstract_excerpt":"This paper studies decision theoretic properties of benchmarked estimators which are of some importance in small area estimation problems. Benchmarking is intended to improve certain aggregate properties (such as study-wide averages) when model based estimates have been applied to individual small areas. We study decision-theoretic properties of such estimators by reducing the problem to one of studying these problems in a related derived problem. For certain such problems, we show that unconstrained solutions in the original (unbenchmarked) problem give unconstrained Bayes and improved estima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4366","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:04:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AH7UKDnp4Otrs2zBgloCYiNstNsut/Tr0quVBFlHO3Dh2WeEuvTTu3z8ZJiImSlYJG/lrpHiaaMhnY/t3T8KBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:21:45.561374Z"},"content_sha256":"4a9ae59bc8458d0fe9abba91efe12b225f3f50e552701de1990effcc2ad82e55","schema_version":"1.0","event_id":"sha256:4a9ae59bc8458d0fe9abba91efe12b225f3f50e552701de1990effcc2ad82e55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/bundle.json","state_url":"https://pith.science/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T03:21:45Z","links":{"resolver":"https://pith.science/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR","bundle":"https://pith.science/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/bundle.json","state":"https://pith.science/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7FXHIFOO5QELV7ANZSZ6GJVQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:K7FXHIFOO5QELV7ANZSZ6GJVQR","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":"1ed3314cc513790671ec58ff621b14eaadf9b94fb5e6cd59564af119a348805a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-16T14:07:22Z","title_canon_sha256":"1a52fe93c88984f576275692c0c4334623e0067d438e2309674addf290445b9f"},"schema_version":"1.0","source":{"id":"1312.4366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4366","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4366v1","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4366","created_at":"2026-05-18T03:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"K7FXHIFOO5QE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K7FXHIFOO5QELV7A","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K7FXHIFO","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:4a9ae59bc8458d0fe9abba91efe12b225f3f50e552701de1990effcc2ad82e55","target":"graph","created_at":"2026-05-18T03:04:34Z","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 studies decision theoretic properties of benchmarked estimators which are of some importance in small area estimation problems. Benchmarking is intended to improve certain aggregate properties (such as study-wide averages) when model based estimates have been applied to individual small areas. We study decision-theoretic properties of such estimators by reducing the problem to one of studying these problems in a related derived problem. For certain such problems, we show that unconstrained solutions in the original (unbenchmarked) problem give unconstrained Bayes and improved estima","authors_text":"Tatsuya Kubokawa, William E. Strawderman","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-16T14:07:22Z","title":"Dominance properties of constrained Bayes and empirical Bayes estimators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4366","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":"sha256:26783e9c50663bc84e9c278ba8aa2eaf7c9cee98d8bb1318aee60d38f8d92dc8","target":"record","created_at":"2026-05-18T03:04:34Z","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":"1ed3314cc513790671ec58ff621b14eaadf9b94fb5e6cd59564af119a348805a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-16T14:07:22Z","title_canon_sha256":"1a52fe93c88984f576275692c0c4334623e0067d438e2309674addf290445b9f"},"schema_version":"1.0","source":{"id":"1312.4366","kind":"arxiv","version":1}},"canonical_sha256":"57cb73a0ae776045d7e06e659f19358458167f77d732bbf589e231f4d9639b3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57cb73a0ae776045d7e06e659f19358458167f77d732bbf589e231f4d9639b3e","first_computed_at":"2026-05-18T03:04:34.765583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:34.765583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6eqYf3K/4+W2kumWbDiaXezNAyKhDkxNPI6IlkSz/B+IhWXIjIYZP83q5sYf0D4IeHt1uz+dZ4gXYidkveLfCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:34.766436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26783e9c50663bc84e9c278ba8aa2eaf7c9cee98d8bb1318aee60d38f8d92dc8","sha256:4a9ae59bc8458d0fe9abba91efe12b225f3f50e552701de1990effcc2ad82e55"],"state_sha256":"11ffac06e936f096723129bf0e691107f3d36872dc4efa10f35c56c9bc46e4ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VQat37vMbOvI041K6vlKxDJSJVYo9OqGihTQeoNFxJP9rd/JUsoTvfLS0ubckQD5ord2zMrN2RJRnSXZWZcMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:21:45.569787Z","bundle_sha256":"c094cd5264fbf95094da977d6c28495a428c675cc75e915b91220f72831309cd"}}