{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OOVR4AJOQV7LAAWSDCLLGLOLUY","short_pith_number":"pith:OOVR4AJO","canonical_record":{"source":{"id":"1606.07926","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-25T16:07:58Z","cross_cats_sorted":[],"title_canon_sha256":"04e4848b801dd42919cdbc1c5ca6aa1cde30dcbc8ab52e0219370dc60322d2c4","abstract_canon_sha256":"12f6962061d307b9210f687045cdd70a8ffcda03112917d5a66f6907fa6cd954"},"schema_version":"1.0"},"canonical_sha256":"73ab1e012e857eb002d21896b32dcba617d0ae04b2a6ab44994a0ef77388ea4d","source":{"kind":"arxiv","id":"1606.07926","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07926","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07926v3","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07926","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"OOVR4AJOQV7L","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OOVR4AJOQV7LAAWS","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OOVR4AJO","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OOVR4AJOQV7LAAWSDCLLGLOLUY","target":"record","payload":{"canonical_record":{"source":{"id":"1606.07926","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-25T16:07:58Z","cross_cats_sorted":[],"title_canon_sha256":"04e4848b801dd42919cdbc1c5ca6aa1cde30dcbc8ab52e0219370dc60322d2c4","abstract_canon_sha256":"12f6962061d307b9210f687045cdd70a8ffcda03112917d5a66f6907fa6cd954"},"schema_version":"1.0"},"canonical_sha256":"73ab1e012e857eb002d21896b32dcba617d0ae04b2a6ab44994a0ef77388ea4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:18.605939Z","signature_b64":"S9GF5EKLXOdxJEX4bKnLovXZDSqnCqTVZcDecv/raVteukqHiSPP76ZHKF5Dr90L4rAQ89HUfO48gWtnCJ5gBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73ab1e012e857eb002d21896b32dcba617d0ae04b2a6ab44994a0ef77388ea4d","last_reissued_at":"2026-05-18T00:35:18.605465Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:18.605465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.07926","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lQP1qQwSDvhDLwouV34xxQERPg4qMnWsTMVw8Lmlc/OijB03jBDl8v8YYbVfXWrktAy159Tg2Ry7PQppkBKsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:56:17.393232Z"},"content_sha256":"d88e454e4355266da6039c8c066e606c2c9808584f237b2ad4aa9a97aad3a00f","schema_version":"1.0","event_id":"sha256:d88e454e4355266da6039c8c066e606c2c9808584f237b2ad4aa9a97aad3a00f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OOVR4AJOQV7LAAWSDCLLGLOLUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiple testing with the structure adaptive Benjamini-Hochberg algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Ang Li, Rina Foygel Barber","submitted_at":"2016-06-25T16:07:58Z","abstract_excerpt":"In multiple testing problems, where a large number of hypotheses are tested simultaneously, false discovery rate (FDR) control can be achieved with the well-known Benjamini-Hochberg procedure, which adapts to the amount of signal present in the data. Many modifications of this procedure have been proposed to improve power in scenarios where the hypotheses are organized into groups or into a hierarchy, as well as other structured settings. Here we introduce SABHA, the \"structure-adaptive Benjamini-Hochberg algorithm\", as a generalization of these adaptive testing methods. SABHA incorporates pri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07926","kind":"arxiv","version":3},"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":"2026-05-18T00:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D5vv9CzR6OFrsJebmhD1OD7VqI0gTubh1oM8XsoJFrEuLnF5gdRgcJYhJt61WRh3a7/U5o+bt5t1c736gqj0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:56:17.393801Z"},"content_sha256":"92aa3f3704c2d077b132fc1708c9f8c92b81b8fef1740f2065bb7a5dec1e871b","schema_version":"1.0","event_id":"sha256:92aa3f3704c2d077b132fc1708c9f8c92b81b8fef1740f2065bb7a5dec1e871b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/bundle.json","state_url":"https://pith.science/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/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":"2026-06-11T04:56:17Z","links":{"resolver":"https://pith.science/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY","bundle":"https://pith.science/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/bundle.json","state":"https://pith.science/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOVR4AJOQV7LAAWSDCLLGLOLUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OOVR4AJOQV7LAAWSDCLLGLOLUY","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":"12f6962061d307b9210f687045cdd70a8ffcda03112917d5a66f6907fa6cd954","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-25T16:07:58Z","title_canon_sha256":"04e4848b801dd42919cdbc1c5ca6aa1cde30dcbc8ab52e0219370dc60322d2c4"},"schema_version":"1.0","source":{"id":"1606.07926","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07926","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07926v3","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07926","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"OOVR4AJOQV7L","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OOVR4AJOQV7LAAWS","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OOVR4AJO","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:92aa3f3704c2d077b132fc1708c9f8c92b81b8fef1740f2065bb7a5dec1e871b","target":"graph","created_at":"2026-05-18T00:35:18Z","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":"In multiple testing problems, where a large number of hypotheses are tested simultaneously, false discovery rate (FDR) control can be achieved with the well-known Benjamini-Hochberg procedure, which adapts to the amount of signal present in the data. Many modifications of this procedure have been proposed to improve power in scenarios where the hypotheses are organized into groups or into a hierarchy, as well as other structured settings. Here we introduce SABHA, the \"structure-adaptive Benjamini-Hochberg algorithm\", as a generalization of these adaptive testing methods. SABHA incorporates pri","authors_text":"Ang Li, Rina Foygel Barber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-25T16:07:58Z","title":"Multiple testing with the structure adaptive Benjamini-Hochberg algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07926","kind":"arxiv","version":3},"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:d88e454e4355266da6039c8c066e606c2c9808584f237b2ad4aa9a97aad3a00f","target":"record","created_at":"2026-05-18T00:35:18Z","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":"12f6962061d307b9210f687045cdd70a8ffcda03112917d5a66f6907fa6cd954","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-25T16:07:58Z","title_canon_sha256":"04e4848b801dd42919cdbc1c5ca6aa1cde30dcbc8ab52e0219370dc60322d2c4"},"schema_version":"1.0","source":{"id":"1606.07926","kind":"arxiv","version":3}},"canonical_sha256":"73ab1e012e857eb002d21896b32dcba617d0ae04b2a6ab44994a0ef77388ea4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73ab1e012e857eb002d21896b32dcba617d0ae04b2a6ab44994a0ef77388ea4d","first_computed_at":"2026-05-18T00:35:18.605465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:18.605465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S9GF5EKLXOdxJEX4bKnLovXZDSqnCqTVZcDecv/raVteukqHiSPP76ZHKF5Dr90L4rAQ89HUfO48gWtnCJ5gBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:18.605939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.07926","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d88e454e4355266da6039c8c066e606c2c9808584f237b2ad4aa9a97aad3a00f","sha256:92aa3f3704c2d077b132fc1708c9f8c92b81b8fef1740f2065bb7a5dec1e871b"],"state_sha256":"ed5e352c724a7ffb596d51c2be9f43e5cf46dbd005a9451e17d309f4c987a5ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RqJ+buzgY7cz5Q+BowrwYP2fJNE16LjIicrhsMbC3SNaVHYzgX2P8DhWGHoqElcKW3JS8r2F7BMvAvnKPChxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:56:17.397190Z","bundle_sha256":"3dedb237ec951e9cbe24f6db549f524273114f39a818db0a0aed2c673fe81ab5"}}