{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:I7UPKNUMQ6ROGOLLSL6ALS2RMF","short_pith_number":"pith:I7UPKNUM","schema_version":"1.0","canonical_sha256":"47e8f5368c87a2e3396b92fc05cb516149b62eef8b0a200c6cd4bca225f8eb75","source":{"kind":"arxiv","id":"2607.04707","version":1},"attestation_state":"computed","paper":{"title":"Principles in harmony: Closed testing meets the partitioning principle for computational efficiency","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ME","authors_text":"Liane Kluge, Werner Brannath","submitted_at":"2026-07-06T06:21:04Z","abstract_excerpt":"We explore and utilize the algorithmic relationship between the closed testing principle for multiple tests with family-wise error rate (FWER) control and the partitioning principle for the construction of simultaneous confidence intervals. Starting with the simple observation that a multiple test with FWER control is formally equivalent to a one-sided simultaneous confidence interval for the vector of binary parameter indicating whether the null or alternative hypothesis is true, we show that the closed testing and partitioning principles follow the same computational approach. We will then u"},"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":"2607.04707","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-06T06:21:04Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"c090b4cf13776bc7d753298e66164f464b5101100a163d7f832d5b36da6139e6","abstract_canon_sha256":"d9356f6c98e58ce599846a92b5dde4a639d4bd491fc7d27a8d58e1d3283080e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:19:59.020526Z","signature_b64":"5JR6lfL9GFCYymuCGFtw5AHRd/KqxGyJuZSCy/fyS5oeqY6kfp83TuqYgk+BcvVUJgGJ98dsDJ4S9J0kyO73Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47e8f5368c87a2e3396b92fc05cb516149b62eef8b0a200c6cd4bca225f8eb75","last_reissued_at":"2026-07-07T02:19:59.019803Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:19:59.019803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Principles in harmony: Closed testing meets the partitioning principle for computational efficiency","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ME","authors_text":"Liane Kluge, Werner Brannath","submitted_at":"2026-07-06T06:21:04Z","abstract_excerpt":"We explore and utilize the algorithmic relationship between the closed testing principle for multiple tests with family-wise error rate (FWER) control and the partitioning principle for the construction of simultaneous confidence intervals. Starting with the simple observation that a multiple test with FWER control is formally equivalent to a one-sided simultaneous confidence interval for the vector of binary parameter indicating whether the null or alternative hypothesis is true, we show that the closed testing and partitioning principles follow the same computational approach. We will then u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.04707","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.04707/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":"2607.04707","created_at":"2026-07-07T02:19:59.019914+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.04707v1","created_at":"2026-07-07T02:19:59.019914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.04707","created_at":"2026-07-07T02:19:59.019914+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7UPKNUMQ6RO","created_at":"2026-07-07T02:19:59.019914+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7UPKNUMQ6ROGOLL","created_at":"2026-07-07T02:19:59.019914+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7UPKNUM","created_at":"2026-07-07T02:19:59.019914+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/I7UPKNUMQ6ROGOLLSL6ALS2RMF","json":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF.json","graph_json":"https://pith.science/api/pith-number/I7UPKNUMQ6ROGOLLSL6ALS2RMF/graph.json","events_json":"https://pith.science/api/pith-number/I7UPKNUMQ6ROGOLLSL6ALS2RMF/events.json","paper":"https://pith.science/paper/I7UPKNUM"},"agent_actions":{"view_html":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF","download_json":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF.json","view_paper":"https://pith.science/paper/I7UPKNUM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.04707&json=true","fetch_graph":"https://pith.science/api/pith-number/I7UPKNUMQ6ROGOLLSL6ALS2RMF/graph.json","fetch_events":"https://pith.science/api/pith-number/I7UPKNUMQ6ROGOLLSL6ALS2RMF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF/action/storage_attestation","attest_author":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF/action/author_attestation","sign_citation":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF/action/citation_signature","submit_replication":"https://pith.science/pith/I7UPKNUMQ6ROGOLLSL6ALS2RMF/action/replication_record"}},"created_at":"2026-07-07T02:19:59.019914+00:00","updated_at":"2026-07-07T02:19:59.019914+00:00"}