{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:723IQW3GBZCUC4IHYURA5EHRPN","short_pith_number":"pith:723IQW3G","canonical_record":{"source":{"id":"1501.05121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-01-21T10:53:35Z","cross_cats_sorted":[],"title_canon_sha256":"d6506e616524674d716b3bae66f80a10dfcbbb67714fe5902b810c1961c2159d","abstract_canon_sha256":"21c08f0934276466db39b8fe5407af5a2c2c61d69653f10a833d8cee2974dd53"},"schema_version":"1.0"},"canonical_sha256":"feb6885b660e45417107c5220e90f17b5ca2a9ebd0b51c58c9e07fcca63778ec","source":{"kind":"arxiv","id":"1501.05121","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05121","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05121v1","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05121","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"723IQW3GBZCU","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"723IQW3GBZCUC4IH","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"723IQW3G","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:723IQW3GBZCUC4IHYURA5EHRPN","target":"record","payload":{"canonical_record":{"source":{"id":"1501.05121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-01-21T10:53:35Z","cross_cats_sorted":[],"title_canon_sha256":"d6506e616524674d716b3bae66f80a10dfcbbb67714fe5902b810c1961c2159d","abstract_canon_sha256":"21c08f0934276466db39b8fe5407af5a2c2c61d69653f10a833d8cee2974dd53"},"schema_version":"1.0"},"canonical_sha256":"feb6885b660e45417107c5220e90f17b5ca2a9ebd0b51c58c9e07fcca63778ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:00.738121Z","signature_b64":"NDn1FzEUP+KP/M0BnvYh9t3LBDGdBGXSTxXsAzhuiwMSp3kswTJOXSapiipRym/WmeuZeXlBmFayzaAPXl3oDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feb6885b660e45417107c5220e90f17b5ca2a9ebd0b51c58c9e07fcca63778ec","last_reissued_at":"2026-05-18T02:29:00.737699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:00.737699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.05121","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":"2026-05-18T02:29:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gS96k7o1oPTzCuN/pPdqQVi824rCdZZ+c0Ov9T+M3dC7cCGxnRipgaFTEffJR9TZqIbr3cNkPF9XaNjwW+hiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:19:48.043001Z"},"content_sha256":"04ee0927e12ee71d18da247e7585254400d88de7586c9aa674871e44bc24dd23","schema_version":"1.0","event_id":"sha256:04ee0927e12ee71d18da247e7585254400d88de7586c9aa674871e44bc24dd23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:723IQW3GBZCUC4IHYURA5EHRPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Point and interval estimation of exposure effects and interaction between the exposures based on logistic model for observational studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Li Yin, Weimin Ye, Xiaoqin Wang","submitted_at":"2015-01-21T10:53:35Z","abstract_excerpt":"In observational studies with dichotomous outcome of a population, researchers need to present the effects of exposures and interaction between the exposures jointly in order to learn the relationship between the exposure effects and the interaction. In this article we study point and interval estimation of exposure effects and the interaction based on logistic model, where the exposure effects are measured by risk differences while the interaction is measured by difference between risk differences. Using approximate normal distribution of the maximum-likelihood (ML) estimate of the model para"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05121","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":"2026-05-18T02:29:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ho/I8JxNW4JlnRfb/WovRlM/571YykZiasGC2K2bNRhe8WAkgcKzuyK34eiq9voOrcNWB9na2q9YjsqC5ETFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:19:48.043368Z"},"content_sha256":"e44da4cf783eb8b9343807b0c6bc61f179a5d98f8c58d39c48bfeb5e63f965cd","schema_version":"1.0","event_id":"sha256:e44da4cf783eb8b9343807b0c6bc61f179a5d98f8c58d39c48bfeb5e63f965cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/723IQW3GBZCUC4IHYURA5EHRPN/bundle.json","state_url":"https://pith.science/pith/723IQW3GBZCUC4IHYURA5EHRPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/723IQW3GBZCUC4IHYURA5EHRPN/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":"2026-06-26T07:19:48Z","links":{"resolver":"https://pith.science/pith/723IQW3GBZCUC4IHYURA5EHRPN","bundle":"https://pith.science/pith/723IQW3GBZCUC4IHYURA5EHRPN/bundle.json","state":"https://pith.science/pith/723IQW3GBZCUC4IHYURA5EHRPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/723IQW3GBZCUC4IHYURA5EHRPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:723IQW3GBZCUC4IHYURA5EHRPN","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":"21c08f0934276466db39b8fe5407af5a2c2c61d69653f10a833d8cee2974dd53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-01-21T10:53:35Z","title_canon_sha256":"d6506e616524674d716b3bae66f80a10dfcbbb67714fe5902b810c1961c2159d"},"schema_version":"1.0","source":{"id":"1501.05121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05121","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05121v1","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05121","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"723IQW3GBZCU","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"723IQW3GBZCUC4IH","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"723IQW3G","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:e44da4cf783eb8b9343807b0c6bc61f179a5d98f8c58d39c48bfeb5e63f965cd","target":"graph","created_at":"2026-05-18T02:29:00Z","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":"In observational studies with dichotomous outcome of a population, researchers need to present the effects of exposures and interaction between the exposures jointly in order to learn the relationship between the exposure effects and the interaction. In this article we study point and interval estimation of exposure effects and the interaction based on logistic model, where the exposure effects are measured by risk differences while the interaction is measured by difference between risk differences. Using approximate normal distribution of the maximum-likelihood (ML) estimate of the model para","authors_text":"Li Yin, Weimin Ye, Xiaoqin Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-01-21T10:53:35Z","title":"Point and interval estimation of exposure effects and interaction between the exposures based on logistic model for observational studies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05121","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":"sha256:04ee0927e12ee71d18da247e7585254400d88de7586c9aa674871e44bc24dd23","target":"record","created_at":"2026-05-18T02:29:00Z","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":"21c08f0934276466db39b8fe5407af5a2c2c61d69653f10a833d8cee2974dd53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-01-21T10:53:35Z","title_canon_sha256":"d6506e616524674d716b3bae66f80a10dfcbbb67714fe5902b810c1961c2159d"},"schema_version":"1.0","source":{"id":"1501.05121","kind":"arxiv","version":1}},"canonical_sha256":"feb6885b660e45417107c5220e90f17b5ca2a9ebd0b51c58c9e07fcca63778ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feb6885b660e45417107c5220e90f17b5ca2a9ebd0b51c58c9e07fcca63778ec","first_computed_at":"2026-05-18T02:29:00.737699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:00.737699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NDn1FzEUP+KP/M0BnvYh9t3LBDGdBGXSTxXsAzhuiwMSp3kswTJOXSapiipRym/WmeuZeXlBmFayzaAPXl3oDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:00.738121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04ee0927e12ee71d18da247e7585254400d88de7586c9aa674871e44bc24dd23","sha256:e44da4cf783eb8b9343807b0c6bc61f179a5d98f8c58d39c48bfeb5e63f965cd"],"state_sha256":"f13f2df8a2196dc33f7806a779fc0b4c03da53af08988162e70893ab6770d412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5OKk15pRAsn0LXPHtKeG0NUcI7myy+aPAG+QttIoVTX/tPKELaQHc5bdhetcONiGrnEzizrJdJQgBjaYQKcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T07:19:48.045510Z","bundle_sha256":"f884d92afd6f436c17876e6131dd09abb45acdaa9eaa48fcb944e6f0fa4f59a2"}}