{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FTJFF6DKQLRV5YCMCI7BWPBKWA","short_pith_number":"pith:FTJFF6DK","canonical_record":{"source":{"id":"1108.4848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-08-24T14:13:05Z","cross_cats_sorted":[],"title_canon_sha256":"ff4d48902582614031b714da6f05a77cef2ff38548eeaaee2c42e1b74abb5a01","abstract_canon_sha256":"bcc702d0cc06b20eba17ba57497eea1263d38c11dcf95a3d24450237e7add75f"},"schema_version":"1.0"},"canonical_sha256":"2cd252f86a82e35ee04c123e1b3c2ab01df983703c96a93b38ea8cfca08ee643","source":{"kind":"arxiv","id":"1108.4848","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4848","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4848v1","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4848","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"FTJFF6DKQLRV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FTJFF6DKQLRV5YCM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FTJFF6DK","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FTJFF6DKQLRV5YCMCI7BWPBKWA","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-08-24T14:13:05Z","cross_cats_sorted":[],"title_canon_sha256":"ff4d48902582614031b714da6f05a77cef2ff38548eeaaee2c42e1b74abb5a01","abstract_canon_sha256":"bcc702d0cc06b20eba17ba57497eea1263d38c11dcf95a3d24450237e7add75f"},"schema_version":"1.0"},"canonical_sha256":"2cd252f86a82e35ee04c123e1b3c2ab01df983703c96a93b38ea8cfca08ee643","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:46.656826Z","signature_b64":"sIPN7XYVs/XV3aAmClTFxQvwezx+ITW65XAD3BGU+hG7t4n5AT8e1s02H97xpO32yQsdaAsntzN6+yp/8wKKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cd252f86a82e35ee04c123e1b3c2ab01df983703c96a93b38ea8cfca08ee643","last_reissued_at":"2026-05-18T04:14:46.656405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:46.656405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4848","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":"2026-05-18T04:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cl+VSRgCE6ItL0jxg6BNPJxLPsYwcUPNvCs/0H+mQFQZX/+yKpFuG4EKCm7EXezqQ6AZ8mSkONWwVZ4AcHN4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:47:45.138670Z"},"content_sha256":"78e778aaf6cefd202167684caf819eaf59abc93c98dd47c3e1e1508290e77005","schema_version":"1.0","event_id":"sha256:78e778aaf6cefd202167684caf819eaf59abc93c98dd47c3e1e1508290e77005"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FTJFF6DKQLRV5YCMCI7BWPBKWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compound p-Value Statistics for Multiple Testing Procedures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Edsel A. Pena, Joshua D. Habiger","submitted_at":"2011-08-24T14:13:05Z","abstract_excerpt":"Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently been shown that these types of multiple testing procedures are inefficient since such p-values do not depend upon all of the available data. This paper provides tools for constructing compound p-value statistics, which are those that depend upon all of the available data, but still satisfy the conditions of independence and uniformity under the null hypothese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4848","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":"2026-05-18T04:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TAUHri/Yeqjpo2kFe8ucdEB3Ni807kc6tH4G/LTfOWn8JNCLcEjRzV8Xr30mfoXOvmz4Jeea7CAQ0cbAFtY2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:47:45.139017Z"},"content_sha256":"e243d66a72ceae376ada77d34f59b7297033b77b114fd0efa7acf8d058582e5c","schema_version":"1.0","event_id":"sha256:e243d66a72ceae376ada77d34f59b7297033b77b114fd0efa7acf8d058582e5c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/bundle.json","state_url":"https://pith.science/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/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":"2026-06-05T12:47:45Z","links":{"resolver":"https://pith.science/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA","bundle":"https://pith.science/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/bundle.json","state":"https://pith.science/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTJFF6DKQLRV5YCMCI7BWPBKWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FTJFF6DKQLRV5YCMCI7BWPBKWA","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":"bcc702d0cc06b20eba17ba57497eea1263d38c11dcf95a3d24450237e7add75f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-08-24T14:13:05Z","title_canon_sha256":"ff4d48902582614031b714da6f05a77cef2ff38548eeaaee2c42e1b74abb5a01"},"schema_version":"1.0","source":{"id":"1108.4848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4848","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4848v1","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4848","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"FTJFF6DKQLRV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FTJFF6DKQLRV5YCM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FTJFF6DK","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:e243d66a72ceae376ada77d34f59b7297033b77b114fd0efa7acf8d058582e5c","target":"graph","created_at":"2026-05-18T04:14:46Z","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":"Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently been shown that these types of multiple testing procedures are inefficient since such p-values do not depend upon all of the available data. This paper provides tools for constructing compound p-value statistics, which are those that depend upon all of the available data, but still satisfy the conditions of independence and uniformity under the null hypothese","authors_text":"Edsel A. Pena, Joshua D. Habiger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-08-24T14:13:05Z","title":"Compound p-Value Statistics for Multiple Testing Procedures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4848","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":"sha256:78e778aaf6cefd202167684caf819eaf59abc93c98dd47c3e1e1508290e77005","target":"record","created_at":"2026-05-18T04:14:46Z","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":"bcc702d0cc06b20eba17ba57497eea1263d38c11dcf95a3d24450237e7add75f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-08-24T14:13:05Z","title_canon_sha256":"ff4d48902582614031b714da6f05a77cef2ff38548eeaaee2c42e1b74abb5a01"},"schema_version":"1.0","source":{"id":"1108.4848","kind":"arxiv","version":1}},"canonical_sha256":"2cd252f86a82e35ee04c123e1b3c2ab01df983703c96a93b38ea8cfca08ee643","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cd252f86a82e35ee04c123e1b3c2ab01df983703c96a93b38ea8cfca08ee643","first_computed_at":"2026-05-18T04:14:46.656405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:46.656405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sIPN7XYVs/XV3aAmClTFxQvwezx+ITW65XAD3BGU+hG7t4n5AT8e1s02H97xpO32yQsdaAsntzN6+yp/8wKKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:46.656826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78e778aaf6cefd202167684caf819eaf59abc93c98dd47c3e1e1508290e77005","sha256:e243d66a72ceae376ada77d34f59b7297033b77b114fd0efa7acf8d058582e5c"],"state_sha256":"96a13f4d47f8295baf46e6358dab339b2d26a5f90b032ba764499aad5d76125e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJTkygw0M5724IlSFIxEmgMw27YUjwIEVvvClX7Z3tGSy/SjTXMLoUJaQv4HC9/o00NFQEyZRrDoFb4I05zeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:47:45.140952Z","bundle_sha256":"7106915e677025b15e101b19e66ec31e891dd76bab47b870b88134463ebe5981"}}