{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6ONF46L6PN744H6JS3EHAVBXL3","short_pith_number":"pith:6ONF46L6","canonical_record":{"source":{"id":"1106.2068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-06-10T14:18:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a1131a30afb7f58edc7ebe651dd7995ec0739bb944fe0bde01e85bedd82527b5","abstract_canon_sha256":"3b1dd6f0333878f066106b98de2105729656219ff479a00888f8aaf30800ca41"},"schema_version":"1.0"},"canonical_sha256":"f39a5e797e7b7fce1fc996c87054375eda4586890a4f49f6382107b048d57f1f","source":{"kind":"arxiv","id":"1106.2068","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2068","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2068v2","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2068","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"6ONF46L6PN74","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6ONF46L6PN744H6J","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6ONF46L6","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6ONF46L6PN744H6JS3EHAVBXL3","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-06-10T14:18:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a1131a30afb7f58edc7ebe651dd7995ec0739bb944fe0bde01e85bedd82527b5","abstract_canon_sha256":"3b1dd6f0333878f066106b98de2105729656219ff479a00888f8aaf30800ca41"},"schema_version":"1.0"},"canonical_sha256":"f39a5e797e7b7fce1fc996c87054375eda4586890a4f49f6382107b048d57f1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:49.551683Z","signature_b64":"H5eh8IU8yZ39X62g40Ls7txX+GAGWOBA64L0fdd/RZ9U/dXZRw4A+ADtm/dL4BfG1ALl/wouwTN5MOzd5C9EAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f39a5e797e7b7fce1fc996c87054375eda4586890a4f49f6382107b048d57f1f","last_reissued_at":"2026-05-18T03:59:49.551158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:49.551158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2068","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7bb7jTNjvuUK7I00Rt6BCnrpAHaIDi9RQLGlChSTo6lOtP3j7wqpdv7uBeM6J5bzADTdNGK56RN29gReJOEIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:40:00.265207Z"},"content_sha256":"59bcebdc0bdeeb01b745d5068421bc31d1593c795524c4f5119a28820c406c68","schema_version":"1.0","event_id":"sha256:59bcebdc0bdeeb01b745d5068421bc31d1593c795524c4f5119a28820c406c68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6ONF46L6PN744H6JS3EHAVBXL3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Marloes H. Maathuis, Nicolai Meinshausen, Peter B\\\"uhlmann","submitted_at":"2011-06-10T14:18:25Z","abstract_excerpt":"Test statistics are often strongly dependent in large-scale multiple testing applications. Most corrections for multiplicity are unduly conservative for correlated test statistics, resulting in a loss of power to detect true positives. We show that the Westfall--Young permutation method has asymptotically optimal power for a broad class of testing problems with a block-dependence and sparsity structure among the tests, when the number of tests tends to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2068","kind":"arxiv","version":2},"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":"2026-05-18T03:59:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nr4Dhy1raJc+y/i4nDeMfDh5vbSjI30dqrLBpjhNT2HXEBgV0tNyhk4Mznf1J9pa20HuMjfJUuTMCMgR2hDeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:40:00.265606Z"},"content_sha256":"1fba0ad645f5f653d4b60959e089dfd8a7eb6d023244497d029097255c003059","schema_version":"1.0","event_id":"sha256:1fba0ad645f5f653d4b60959e089dfd8a7eb6d023244497d029097255c003059"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ONF46L6PN744H6JS3EHAVBXL3/bundle.json","state_url":"https://pith.science/pith/6ONF46L6PN744H6JS3EHAVBXL3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ONF46L6PN744H6JS3EHAVBXL3/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":"2026-05-27T14:40:00Z","links":{"resolver":"https://pith.science/pith/6ONF46L6PN744H6JS3EHAVBXL3","bundle":"https://pith.science/pith/6ONF46L6PN744H6JS3EHAVBXL3/bundle.json","state":"https://pith.science/pith/6ONF46L6PN744H6JS3EHAVBXL3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ONF46L6PN744H6JS3EHAVBXL3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6ONF46L6PN744H6JS3EHAVBXL3","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":"3b1dd6f0333878f066106b98de2105729656219ff479a00888f8aaf30800ca41","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-06-10T14:18:25Z","title_canon_sha256":"a1131a30afb7f58edc7ebe651dd7995ec0739bb944fe0bde01e85bedd82527b5"},"schema_version":"1.0","source":{"id":"1106.2068","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2068","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2068v2","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2068","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"6ONF46L6PN74","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6ONF46L6PN744H6J","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6ONF46L6","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:1fba0ad645f5f653d4b60959e089dfd8a7eb6d023244497d029097255c003059","target":"graph","created_at":"2026-05-18T03:59:49Z","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":"Test statistics are often strongly dependent in large-scale multiple testing applications. Most corrections for multiplicity are unduly conservative for correlated test statistics, resulting in a loss of power to detect true positives. We show that the Westfall--Young permutation method has asymptotically optimal power for a broad class of testing problems with a block-dependence and sparsity structure among the tests, when the number of tests tends to infinity.","authors_text":"Marloes H. Maathuis, Nicolai Meinshausen, Peter B\\\"uhlmann","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-06-10T14:18:25Z","title":"Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2068","kind":"arxiv","version":2},"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":"sha256:59bcebdc0bdeeb01b745d5068421bc31d1593c795524c4f5119a28820c406c68","target":"record","created_at":"2026-05-18T03:59:49Z","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":"3b1dd6f0333878f066106b98de2105729656219ff479a00888f8aaf30800ca41","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-06-10T14:18:25Z","title_canon_sha256":"a1131a30afb7f58edc7ebe651dd7995ec0739bb944fe0bde01e85bedd82527b5"},"schema_version":"1.0","source":{"id":"1106.2068","kind":"arxiv","version":2}},"canonical_sha256":"f39a5e797e7b7fce1fc996c87054375eda4586890a4f49f6382107b048d57f1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f39a5e797e7b7fce1fc996c87054375eda4586890a4f49f6382107b048d57f1f","first_computed_at":"2026-05-18T03:59:49.551158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:49.551158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H5eh8IU8yZ39X62g40Ls7txX+GAGWOBA64L0fdd/RZ9U/dXZRw4A+ADtm/dL4BfG1ALl/wouwTN5MOzd5C9EAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:49.551683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2068","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59bcebdc0bdeeb01b745d5068421bc31d1593c795524c4f5119a28820c406c68","sha256:1fba0ad645f5f653d4b60959e089dfd8a7eb6d023244497d029097255c003059"],"state_sha256":"8d2c4c3905dfce6258d326d6d931e168b550dba6e57ece4fcd282deb9b333919"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aeaPQqrK15WYEjk3awExD8sQTfh7Lp28jP3oGP6UBAhVjvLT/NAjyQy5abjpVhukZBWndSlnftUwb0bqtH5SBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:40:00.268438Z","bundle_sha256":"621bb92e8f75ad60e457a04d898e9c97ccac64a0c6baed85068e6abc63b78e46"}}