{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RW52UTZL4IKJBKQXUEHN5UB3HF","short_pith_number":"pith:RW52UTZL","canonical_record":{"source":{"id":"1410.4275","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2014-10-16T02:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"bdedccb3d76ef0726ef8d7fc5ffad5fc8600d2a470a0aa8526d575a4a077d5cc","abstract_canon_sha256":"4fa66ed7dd2b3766cdddf8ed4aaf6b2fbb74bfb2c3e223afde8924715f77bc91"},"schema_version":"1.0"},"canonical_sha256":"8dbbaa4f2be21490aa17a10eded03b3962c01173c5b5a0af52c6d91e4875e1de","source":{"kind":"arxiv","id":"1410.4275","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RW52UTZL4IKJBKQXUEHN5UB3HF","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4275","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2014-10-16T02:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"bdedccb3d76ef0726ef8d7fc5ffad5fc8600d2a470a0aa8526d575a4a077d5cc","abstract_canon_sha256":"4fa66ed7dd2b3766cdddf8ed4aaf6b2fbb74bfb2c3e223afde8924715f77bc91"},"schema_version":"1.0"},"canonical_sha256":"8dbbaa4f2be21490aa17a10eded03b3962c01173c5b5a0af52c6d91e4875e1de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:20:41.527532Z","signature_b64":"Jiu5tiDjO2oGw6PdaZTJckNWA2MOkLX0YCUIffnaQeBdYCBs1/s+XY360dDPEpp/WCAKw7ImOgmydN+SdZR/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dbbaa4f2be21490aa17a10eded03b3962c01173c5b5a0af52c6d91e4875e1de","last_reissued_at":"2026-07-05T04:20:41.527077Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:20:41.527077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4275","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:20:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OX+qLm5h/vzKK8tcRvMmFKkCDVxQ4HB2VJWpVLndo9Djpxom6IoQFck8/FB5x2QQPdgIYtlfYm9IwrJGNRrTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:27:34.085900Z"},"content_sha256":"fb981b940c5c1e6f3f632b91ed20f3a81e71923ed1b83c354b7dc75dfd0796a0","schema_version":"1.0","event_id":"sha256:fb981b940c5c1e6f3f632b91ed20f3a81e71923ed1b83c354b7dc75dfd0796a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RW52UTZL4IKJBKQXUEHN5UB3HF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistent estimation of the proportion of false nulls and FDR for adaptive multiple testing Normal means under weak dependence","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Xiongzhi Chen","submitted_at":"2014-10-16T02:11:15Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4275","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1410.4275/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:20:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8xLcJno3IqBxWRf/BIPmrxlWVAcf9bmEy5ya8+/dBfXgVrCNFgrMRFz+CO/2KSbAFFItM43vJs0CRfdpSUKFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:27:34.086759Z"},"content_sha256":"8dac6ab2702cd3a9b227b3420c75012c3a6ffb86a4291763727fb785368b46d6","schema_version":"1.0","event_id":"sha256:8dac6ab2702cd3a9b227b3420c75012c3a6ffb86a4291763727fb785368b46d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/bundle.json","state_url":"https://pith.science/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/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":"2026-08-16T14:27:34Z","links":{"resolver":"https://pith.science/pith/RW52UTZL4IKJBKQXUEHN5UB3HF","bundle":"https://pith.science/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/bundle.json","state":"https://pith.science/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RW52UTZL4IKJBKQXUEHN5UB3HF/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"096TbHnG25E1bkb8N1z5azwAGyuo1TUsQRuGbcPnyNJet9EY3io9vZTsj5KIRf9AvGrPCvM+70XyF0IUP4peBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T14:27:34.090933Z","bundle_sha256":"a0287a7e2cfef838a1a2143842e629e4df846ef125b76275a4981da97d877cfb"}}