{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RW52UTZL4IKJBKQXUEHN5UB3HF","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":"4fa66ed7dd2b3766cdddf8ed4aaf6b2fbb74bfb2c3e223afde8924715f77bc91","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2014-10-16T02:11:15Z","title_canon_sha256":"bdedccb3d76ef0726ef8d7fc5ffad5fc8600d2a470a0aa8526d575a4a077d5cc"},"schema_version":"1.0","source":{"id":"1410.4275","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4275","created_at":"2026-07-05T04:20:41Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4275v5","created_at":"2026-07-05T04:20:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4275","created_at":"2026-07-05T04:20:41Z"},{"alias_kind":"pith_short_12","alias_value":"RW52UTZL4IKJ","created_at":"2026-07-05T04:20:41Z"},{"alias_kind":"pith_short_16","alias_value":"RW52UTZL4IKJBKQX","created_at":"2026-07-05T04:20:41Z"},{"alias_kind":"pith_short_8","alias_value":"RW52UTZL","created_at":"2026-07-05T04:20:41Z"}],"graph_snapshots":[{"event_id":"sha256:8dac6ab2702cd3a9b227b3420c75012c3a6ffb86a4291763727fb785368b46d6","target":"graph","created_at":"2026-07-05T04:20:41Z","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/1410.4275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider multiple testing means of many dependent Normal random variables that do not necessarily follow a joint Normal distribution. Under weak dependence, we show the uniform consistency of proportion estimators that are constructed as solutions to Lebesgue-Stieltjes equations for the setting of a point, bounded and one-sided null, respectively, and characterize via the index of weak dependence the sparsest proportion these estimators can consistently estimate. On the other hand, under a principal correlation structure and employing a suitable definition of p-value for composite null hypo","authors_text":"Xiongzhi Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2014-10-16T02:11:15Z","title":"Consistent estimation of the proportion of false nulls and FDR for adaptive multiple testing Normal means under weak dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4275","kind":"arxiv","version":5},"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:fb981b940c5c1e6f3f632b91ed20f3a81e71923ed1b83c354b7dc75dfd0796a0","target":"record","created_at":"2026-07-05T04:20:41Z","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":"4fa66ed7dd2b3766cdddf8ed4aaf6b2fbb74bfb2c3e223afde8924715f77bc91","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2014-10-16T02:11:15Z","title_canon_sha256":"bdedccb3d76ef0726ef8d7fc5ffad5fc8600d2a470a0aa8526d575a4a077d5cc"},"schema_version":"1.0","source":{"id":"1410.4275","kind":"arxiv","version":5}},"canonical_sha256":"8dbbaa4f2be21490aa17a10eded03b3962c01173c5b5a0af52c6d91e4875e1de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dbbaa4f2be21490aa17a10eded03b3962c01173c5b5a0af52c6d91e4875e1de","first_computed_at":"2026-07-05T04:20:41.527077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:20:41.527077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jiu5tiDjO2oGw6PdaZTJckNWA2MOkLX0YCUIffnaQeBdYCBs1/s+XY360dDPEpp/WCAKw7ImOgmydN+SdZR/Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:20:41.527532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4275","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb981b940c5c1e6f3f632b91ed20f3a81e71923ed1b83c354b7dc75dfd0796a0","sha256:8dac6ab2702cd3a9b227b3420c75012c3a6ffb86a4291763727fb785368b46d6"],"state_sha256":"1d153b6ef8a08ff114137a771b4d0343f79ed1bc94ad9794b5ba1ec6f5596acf"}