{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4BMQVA3XSLAHCNBXBFZFZSJSVM","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":"e9a3b5031a68047fa09c99c60b254e751b7991578dcc3b312e60576554643469","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-12-21T06:15:44Z","title_canon_sha256":"efc8707d5ea0ec1627a4084e4b311533743ab153077410eef6cdfe877105b4ab"},"schema_version":"1.0","source":{"id":"1812.08965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08965","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08965v1","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08965","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"4BMQVA3XSLAH","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4BMQVA3XSLAHCNBX","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4BMQVA3X","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:412726119099f83085e7b87f3cdfc493b6ec07862266802fdbc870f9263a6f98","target":"graph","created_at":"2026-05-17T23:57:45Z","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 introduces the \\texttt{FDR-linking} theorem, a novel technique for understanding \\textit{non-asymptotic} FDR control of the Benjamini--Hochberg (BH) procedure under arbitrary dependence of the $p$-values. This theorem offers a principled and flexible approach to linking all $p$-values and the null $p$-values from the FDR control perspective, suggesting a profound implication that, to a large extent, the FDR of the BH procedure relies mostly on the null $p$-values. To illustrate the use of this theorem, we propose a new type of dependence only concerning the null $p$-values, which, w","authors_text":"Weijie J. Su","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-12-21T06:15:44Z","title":"The FDR-Linking Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08965","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":"sha256:312faead36de0bf66c5a7d862dd917bb49def3c48ee9a35408f1b11c5b000c34","target":"record","created_at":"2026-05-17T23:57:45Z","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":"e9a3b5031a68047fa09c99c60b254e751b7991578dcc3b312e60576554643469","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-12-21T06:15:44Z","title_canon_sha256":"efc8707d5ea0ec1627a4084e4b311533743ab153077410eef6cdfe877105b4ab"},"schema_version":"1.0","source":{"id":"1812.08965","kind":"arxiv","version":1}},"canonical_sha256":"e0590a837792c071343709725cc932ab0cc61fb09c3a3ff29687732658559509","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0590a837792c071343709725cc932ab0cc61fb09c3a3ff29687732658559509","first_computed_at":"2026-05-17T23:57:45.761551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:45.761551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tEug6s8pdiHlheOuP9t0VARzNjrBeKDR17p7bGDNZ0vCzunyZH2ySQNgVJGuRXKGPTvpPjHblL1HpzdMwLnSAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:45.761944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.08965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:312faead36de0bf66c5a7d862dd917bb49def3c48ee9a35408f1b11c5b000c34","sha256:412726119099f83085e7b87f3cdfc493b6ec07862266802fdbc870f9263a6f98"],"state_sha256":"b66be1aba53f13db4793da274b3b94e1380048e94514353c52f28c0d08f15c10"}