{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PSFO2XM4YWW3FBZGZDIJKFWTNF","short_pith_number":"pith:PSFO2XM4","schema_version":"1.0","canonical_sha256":"7c8aed5d9cc5adb28726c8d09516d3696773102519d7bc4b2b7d73fdab24c148","source":{"kind":"arxiv","id":"2104.14601","version":3},"attestation_state":"computed","paper":{"title":"Querying multiple sets of $p$-values through composed hypothesis testing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Indranil Mukhopadhyay, Sarmistha Das, St\\'ephane Robin, Tristan Mary-Huard","submitted_at":"2021-04-29T18:40:07Z","abstract_excerpt":"Motivation: Combining the results of different experiments to exhibit complex patterns or to improve statistical power is a typical aim of data integration. The starting point of the statistical analysis often comes as sets of p-values resulting from previous analyses, that need to be combined in a flexible way to explore complex hypotheses, while guaranteeing a low proportion of false discoveries. Results: We introduce the generic concept of composed hypothesis, which corresponds to an arbitrary complex combination of simple hypotheses. We rephrase the problem of testing a composed hypothesis"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2104.14601","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-04-29T18:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"0544351dc66beb34ab614df7a713a003a404b8a18f520258b5149fe3eb145eb2","abstract_canon_sha256":"e847f503e798ed264d71e350e3c73abb8b5d3c98e5a9243a8507c9f9c33d6d17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:36:37.125082Z","signature_b64":"UgYvKw3KquRGVi/d+6i1Ak/jdWpFRpgp2Hc4oy9BoAdgW7LZQPgChE9fzcpd3jyEsYG7fpL+/yEzr/m2Mw4PDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c8aed5d9cc5adb28726c8d09516d3696773102519d7bc4b2b7d73fdab24c148","last_reissued_at":"2026-07-05T03:36:37.124690Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:36:37.124690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Querying multiple sets of $p$-values through composed hypothesis testing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Indranil Mukhopadhyay, Sarmistha Das, St\\'ephane Robin, Tristan Mary-Huard","submitted_at":"2021-04-29T18:40:07Z","abstract_excerpt":"Motivation: Combining the results of different experiments to exhibit complex patterns or to improve statistical power is a typical aim of data integration. The starting point of the statistical analysis often comes as sets of p-values resulting from previous analyses, that need to be combined in a flexible way to explore complex hypotheses, while guaranteeing a low proportion of false discoveries. Results: We introduce the generic concept of composed hypothesis, which corresponds to an arbitrary complex combination of simple hypotheses. We rephrase the problem of testing a composed hypothesis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.14601","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.14601/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2104.14601","created_at":"2026-07-05T03:36:37.124752+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.14601v3","created_at":"2026-07-05T03:36:37.124752+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.14601","created_at":"2026-07-05T03:36:37.124752+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSFO2XM4YWW3","created_at":"2026-07-05T03:36:37.124752+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSFO2XM4YWW3FBZG","created_at":"2026-07-05T03:36:37.124752+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSFO2XM4","created_at":"2026-07-05T03:36:37.124752+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF","json":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF.json","graph_json":"https://pith.science/api/pith-number/PSFO2XM4YWW3FBZGZDIJKFWTNF/graph.json","events_json":"https://pith.science/api/pith-number/PSFO2XM4YWW3FBZGZDIJKFWTNF/events.json","paper":"https://pith.science/paper/PSFO2XM4"},"agent_actions":{"view_html":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF","download_json":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF.json","view_paper":"https://pith.science/paper/PSFO2XM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.14601&json=true","fetch_graph":"https://pith.science/api/pith-number/PSFO2XM4YWW3FBZGZDIJKFWTNF/graph.json","fetch_events":"https://pith.science/api/pith-number/PSFO2XM4YWW3FBZGZDIJKFWTNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF/action/storage_attestation","attest_author":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF/action/author_attestation","sign_citation":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF/action/citation_signature","submit_replication":"https://pith.science/pith/PSFO2XM4YWW3FBZGZDIJKFWTNF/action/replication_record"}},"created_at":"2026-07-05T03:36:37.124752+00:00","updated_at":"2026-07-05T03:36:37.124752+00:00"}