{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:5SAIRBAE7L6YLMCXH5XU6JYQEU","short_pith_number":"pith:5SAIRBAE","schema_version":"1.0","canonical_sha256":"ec80888404fafd85b0573f6f4f2710253287c4a555d468bd6347b8278a865eb4","source":{"kind":"arxiv","id":"2603.22668","version":2},"attestation_state":"computed","paper":{"title":"Fixed-level calibration of the Cauchy combination test","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Hirofumi Ota","submitted_at":"2026-03-24T00:42:51Z","abstract_excerpt":"The Cauchy combination test (CCT) is widely used because it yields a closed-form combined $p$-value and is known to be asymptotically valid as the nominal level $\\alpha\\downarrow0$ under broad dependence structures. We study a different asymptotic question: whether the usual Cauchy cutoff remains accurate at an ordinary fixed level when the number $K$ of combined $p$-values grows under dependence. Under a canonical one-factor equicorrelated Gaussian copula model, we show that the raw CCT is generally not asymptotically exact at fixed $\\alpha$. With fixed positive correlation, the statistic con"},"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":"2603.22668","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-03-24T00:42:51Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"63a5ad66607e284d28b5ee2ad7517497c84f6d1bd1e74daa7c7899d3eb7ebf36","abstract_canon_sha256":"f85e93f41fecda442b4824fa18b625c336af66147c8c7857b19a67110301afb1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:09:33.681273Z","signature_b64":"A3zb9vfsqDjElbIRsAyRBq5U/pjK57inBhL9cqxFHKeLY8SKy7PCxDG7GZ0WZE54+SL7NPZ/6RABidmC3Nk2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec80888404fafd85b0573f6f4f2710253287c4a555d468bd6347b8278a865eb4","last_reissued_at":"2026-06-11T01:09:33.680368Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:09:33.680368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fixed-level calibration of the Cauchy combination test","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Hirofumi Ota","submitted_at":"2026-03-24T00:42:51Z","abstract_excerpt":"The Cauchy combination test (CCT) is widely used because it yields a closed-form combined $p$-value and is known to be asymptotically valid as the nominal level $\\alpha\\downarrow0$ under broad dependence structures. We study a different asymptotic question: whether the usual Cauchy cutoff remains accurate at an ordinary fixed level when the number $K$ of combined $p$-values grows under dependence. Under a canonical one-factor equicorrelated Gaussian copula model, we show that the raw CCT is generally not asymptotically exact at fixed $\\alpha$. With fixed positive correlation, the statistic con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.22668","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.22668/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":"2603.22668","created_at":"2026-06-11T01:09:33.680504+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.22668v2","created_at":"2026-06-11T01:09:33.680504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.22668","created_at":"2026-06-11T01:09:33.680504+00:00"},{"alias_kind":"pith_short_12","alias_value":"5SAIRBAE7L6Y","created_at":"2026-06-11T01:09:33.680504+00:00"},{"alias_kind":"pith_short_16","alias_value":"5SAIRBAE7L6YLMCX","created_at":"2026-06-11T01:09:33.680504+00:00"},{"alias_kind":"pith_short_8","alias_value":"5SAIRBAE","created_at":"2026-06-11T01:09:33.680504+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/5SAIRBAE7L6YLMCXH5XU6JYQEU","json":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU.json","graph_json":"https://pith.science/api/pith-number/5SAIRBAE7L6YLMCXH5XU6JYQEU/graph.json","events_json":"https://pith.science/api/pith-number/5SAIRBAE7L6YLMCXH5XU6JYQEU/events.json","paper":"https://pith.science/paper/5SAIRBAE"},"agent_actions":{"view_html":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU","download_json":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU.json","view_paper":"https://pith.science/paper/5SAIRBAE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.22668&json=true","fetch_graph":"https://pith.science/api/pith-number/5SAIRBAE7L6YLMCXH5XU6JYQEU/graph.json","fetch_events":"https://pith.science/api/pith-number/5SAIRBAE7L6YLMCXH5XU6JYQEU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU/action/storage_attestation","attest_author":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU/action/author_attestation","sign_citation":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU/action/citation_signature","submit_replication":"https://pith.science/pith/5SAIRBAE7L6YLMCXH5XU6JYQEU/action/replication_record"}},"created_at":"2026-06-11T01:09:33.680504+00:00","updated_at":"2026-06-11T01:09:33.680504+00:00"}