{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6TTZWP3SCRBNLVK5XTVLDAKXDY","short_pith_number":"pith:6TTZWP3S","schema_version":"1.0","canonical_sha256":"f4e79b3f721442d5d55dbceab181571e360ffb6176ba974a4badf1b5a4ea03b7","source":{"kind":"arxiv","id":"1407.4413","version":1},"attestation_state":"computed","paper":{"title":"Control Function Assisted IPW Estimation with a Secondary Outcome in Case-Control Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Eric J. Tchetgen Tchetgen, Marilyn C. Cornelis, Peter Kraft, Tamar Sofer","submitted_at":"2014-07-16T18:23:59Z","abstract_excerpt":"Case-control studies are designed towards studying associations between risk factors and a single, primary outcome. Information about additional, secondary outcomes is also collected, but association studies targeting such secondary outcomes should account for the case-control sampling scheme, or otherwise results may be biased. Often, one uses inverse probability weighted (IPW) estimators to estimate population effects in such studies. However, these estimators are inefficient relative to estimators that make additional assumptions about the data generating mechanism. We propose a class of es"},"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":"1407.4413","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-07-16T18:23:59Z","cross_cats_sorted":[],"title_canon_sha256":"98ad55d251ccec063f531aeed8e9e641352bd82b14e5583d00e47114a988b988","abstract_canon_sha256":"6748883458a1e7350d4d3c23039b713ccef5ec3a1e3f50e230e9d7cf8c642011"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:30.535902Z","signature_b64":"m3jgZGvMGtb90/RSnx4DPeQneH9FZ29UlNgH3RWyGAXI4VHPm5R8xMzsAVC/SAz06XjUkZePq7oqCyIRDFKPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4e79b3f721442d5d55dbceab181571e360ffb6176ba974a4badf1b5a4ea03b7","last_reissued_at":"2026-05-18T02:47:30.535521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:30.535521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Control Function Assisted IPW Estimation with a Secondary Outcome in Case-Control Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Eric J. Tchetgen Tchetgen, Marilyn C. Cornelis, Peter Kraft, Tamar Sofer","submitted_at":"2014-07-16T18:23:59Z","abstract_excerpt":"Case-control studies are designed towards studying associations between risk factors and a single, primary outcome. Information about additional, secondary outcomes is also collected, but association studies targeting such secondary outcomes should account for the case-control sampling scheme, or otherwise results may be biased. Often, one uses inverse probability weighted (IPW) estimators to estimate population effects in such studies. However, these estimators are inefficient relative to estimators that make additional assumptions about the data generating mechanism. We propose a class of es"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4413","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.4413","created_at":"2026-05-18T02:47:30.535578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4413v1","created_at":"2026-05-18T02:47:30.535578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4413","created_at":"2026-05-18T02:47:30.535578+00:00"},{"alias_kind":"pith_short_12","alias_value":"6TTZWP3SCRBN","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6TTZWP3SCRBNLVK5","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6TTZWP3S","created_at":"2026-05-18T12:28:16.859392+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/6TTZWP3SCRBNLVK5XTVLDAKXDY","json":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY.json","graph_json":"https://pith.science/api/pith-number/6TTZWP3SCRBNLVK5XTVLDAKXDY/graph.json","events_json":"https://pith.science/api/pith-number/6TTZWP3SCRBNLVK5XTVLDAKXDY/events.json","paper":"https://pith.science/paper/6TTZWP3S"},"agent_actions":{"view_html":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY","download_json":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY.json","view_paper":"https://pith.science/paper/6TTZWP3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4413&json=true","fetch_graph":"https://pith.science/api/pith-number/6TTZWP3SCRBNLVK5XTVLDAKXDY/graph.json","fetch_events":"https://pith.science/api/pith-number/6TTZWP3SCRBNLVK5XTVLDAKXDY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY/action/storage_attestation","attest_author":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY/action/author_attestation","sign_citation":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY/action/citation_signature","submit_replication":"https://pith.science/pith/6TTZWP3SCRBNLVK5XTVLDAKXDY/action/replication_record"}},"created_at":"2026-05-18T02:47:30.535578+00:00","updated_at":"2026-05-18T02:47:30.535578+00:00"}