{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AGL5RKTRNZBZQP5Q63OO2QV5VB","short_pith_number":"pith:AGL5RKTR","canonical_record":{"source":{"id":"1801.04309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-01-12T20:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"6eb79c28f3187298f91d911c41d55e98d89cff8515276758b595935933c7f1d8","abstract_canon_sha256":"2d1f489d291d4f59179755a40ae687a98fbc34ac0e7d78a69b8aef31b5afed82"},"schema_version":"1.0"},"canonical_sha256":"0197d8aa716e43983fb0f6dced42bda86692dc12a20d229adf5f0f4a1a083896","source":{"kind":"arxiv","id":"1801.04309","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04309","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04309v1","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04309","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"pith_short_12","alias_value":"AGL5RKTRNZBZ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AGL5RKTRNZBZQP5Q","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AGL5RKTR","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AGL5RKTRNZBZQP5Q63OO2QV5VB","target":"record","payload":{"canonical_record":{"source":{"id":"1801.04309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-01-12T20:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"6eb79c28f3187298f91d911c41d55e98d89cff8515276758b595935933c7f1d8","abstract_canon_sha256":"2d1f489d291d4f59179755a40ae687a98fbc34ac0e7d78a69b8aef31b5afed82"},"schema_version":"1.0"},"canonical_sha256":"0197d8aa716e43983fb0f6dced42bda86692dc12a20d229adf5f0f4a1a083896","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:06.889213Z","signature_b64":"JBiqe25SEQNQa4BbiUopX3MhAENdNGWbHQ3EInLwUG1ByRh7yt2erRiVwlfSJouMLn/cGeaR4XpY27sObmekAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0197d8aa716e43983fb0f6dced42bda86692dc12a20d229adf5f0f4a1a083896","last_reissued_at":"2026-05-18T00:26:06.888498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:06.888498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.04309","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNBMLHv2abCLmEt9htCLI630evclE/cWwMofGfp8uKmzRznQRFOMYyJ6C8KICz2zB8IbT7eP1Cqc7X2QxW/FAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:42:24.076932Z"},"content_sha256":"873db083b4160cf66e6c76c7729d107769c1550d377ee77fa4f7691acdcf11ff","schema_version":"1.0","event_id":"sha256:873db083b4160cf66e6c76c7729d107769c1550d377ee77fa4f7691acdcf11ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AGL5RKTRNZBZQP5Q63OO2QV5VB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TFisher Tests: Optimal and Adaptive Thresholding for Combining $p$-Values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Hong Zhang, John E Landers, Tiejun Tong, Zheyang Wu","submitted_at":"2018-01-12T20:41:16Z","abstract_excerpt":"For testing a group of hypotheses, tremendous $p$-value combination methods have been developed and widely applied since 1930's. Some methods (e.g., the minimal $p$-value) are optimal for sparse signals, and some others (e.g., Fisher's combination) are optimal for dense signals. To address a wide spectrum of signal patterns, this paper proposes a unifying family of statistics, called TFisher, with general $p$-value truncation and weighting schemes. Analytical calculations for the $p$-value and the statistical power of TFisher under general hypotheses are given. Optimal truncation and weighting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04309","kind":"arxiv","version":1},"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":"2026-05-18T00:26:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GmzgxEVIR4Xvi4Y3uZWuNj+GfIqyJSNvxH2RlkvUAEBsaxOFSCV5GLDi6tOr1Tfdj+GhWDo3Cn1VC7Y64ZQoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:42:24.077593Z"},"content_sha256":"43d1a645f0eaf88a2d74b8146cb9252e9f553033c9e6c50956773c670e51004f","schema_version":"1.0","event_id":"sha256:43d1a645f0eaf88a2d74b8146cb9252e9f553033c9e6c50956773c670e51004f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/bundle.json","state_url":"https://pith.science/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/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":"2026-05-26T20:42:24Z","links":{"resolver":"https://pith.science/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB","bundle":"https://pith.science/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/bundle.json","state":"https://pith.science/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGL5RKTRNZBZQP5Q63OO2QV5VB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AGL5RKTRNZBZQP5Q63OO2QV5VB","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":"2d1f489d291d4f59179755a40ae687a98fbc34ac0e7d78a69b8aef31b5afed82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-01-12T20:41:16Z","title_canon_sha256":"6eb79c28f3187298f91d911c41d55e98d89cff8515276758b595935933c7f1d8"},"schema_version":"1.0","source":{"id":"1801.04309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04309","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04309v1","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04309","created_at":"2026-05-18T00:26:06Z"},{"alias_kind":"pith_short_12","alias_value":"AGL5RKTRNZBZ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AGL5RKTRNZBZQP5Q","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AGL5RKTR","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:43d1a645f0eaf88a2d74b8146cb9252e9f553033c9e6c50956773c670e51004f","target":"graph","created_at":"2026-05-18T00:26:06Z","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":"For testing a group of hypotheses, tremendous $p$-value combination methods have been developed and widely applied since 1930's. Some methods (e.g., the minimal $p$-value) are optimal for sparse signals, and some others (e.g., Fisher's combination) are optimal for dense signals. To address a wide spectrum of signal patterns, this paper proposes a unifying family of statistics, called TFisher, with general $p$-value truncation and weighting schemes. Analytical calculations for the $p$-value and the statistical power of TFisher under general hypotheses are given. Optimal truncation and weighting","authors_text":"Hong Zhang, John E Landers, Tiejun Tong, Zheyang Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-01-12T20:41:16Z","title":"TFisher Tests: Optimal and Adaptive Thresholding for Combining $p$-Values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04309","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":"sha256:873db083b4160cf66e6c76c7729d107769c1550d377ee77fa4f7691acdcf11ff","target":"record","created_at":"2026-05-18T00:26:06Z","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":"2d1f489d291d4f59179755a40ae687a98fbc34ac0e7d78a69b8aef31b5afed82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-01-12T20:41:16Z","title_canon_sha256":"6eb79c28f3187298f91d911c41d55e98d89cff8515276758b595935933c7f1d8"},"schema_version":"1.0","source":{"id":"1801.04309","kind":"arxiv","version":1}},"canonical_sha256":"0197d8aa716e43983fb0f6dced42bda86692dc12a20d229adf5f0f4a1a083896","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0197d8aa716e43983fb0f6dced42bda86692dc12a20d229adf5f0f4a1a083896","first_computed_at":"2026-05-18T00:26:06.888498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:06.888498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JBiqe25SEQNQa4BbiUopX3MhAENdNGWbHQ3EInLwUG1ByRh7yt2erRiVwlfSJouMLn/cGeaR4XpY27sObmekAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:06.889213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:873db083b4160cf66e6c76c7729d107769c1550d377ee77fa4f7691acdcf11ff","sha256:43d1a645f0eaf88a2d74b8146cb9252e9f553033c9e6c50956773c670e51004f"],"state_sha256":"d40d1464317b0bed8aa2a110f044fc8b6950fc32db6b2de21de4f034c1bc533b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BtIPNcU/eAKssb0bAjVCTuVyeei0heMPA0MOFnnryhNfVHoOWIp6GzhLPPBu0QjMAJRClJL+Ohn0QnVVtWaHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:42:24.081367Z","bundle_sha256":"e1b84efbe63c167b5ed7bacad96489e758f74df9ec7ba3fdef0ec0ad27011d9c"}}