{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KGIH6CR6J37OR6CRDPRKYUG525","short_pith_number":"pith:KGIH6CR6","canonical_record":{"source":{"id":"2506.07910","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T16:26:12Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"f33ee19314c0cedfb7909b2761bdb34faabde9d58a105b86d4194175cc489ed1","abstract_canon_sha256":"9a3188170c7a1079fd6e35f9c2905003679aec751e538c69fb1b666386896f85"},"schema_version":"1.0"},"canonical_sha256":"51907f0a3e4efee8f8511be2ac50ddd7690805b91bfe2bf71750cb68684c0ab8","source":{"kind":"arxiv","id":"2506.07910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07910","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07910v1","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07910","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"KGIH6CR6J37O","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_16","alias_value":"KGIH6CR6J37OR6CR","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_8","alias_value":"KGIH6CR6","created_at":"2026-07-05T11:18:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KGIH6CR6J37OR6CRDPRKYUG525","target":"record","payload":{"canonical_record":{"source":{"id":"2506.07910","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T16:26:12Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"f33ee19314c0cedfb7909b2761bdb34faabde9d58a105b86d4194175cc489ed1","abstract_canon_sha256":"9a3188170c7a1079fd6e35f9c2905003679aec751e538c69fb1b666386896f85"},"schema_version":"1.0"},"canonical_sha256":"51907f0a3e4efee8f8511be2ac50ddd7690805b91bfe2bf71750cb68684c0ab8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:18:35.283790Z","signature_b64":"5WpvKSg3YN7r979PI6N9aHz7l2IJbWQ0Z2TRLernHg9eqFsSBCLFvEi4kcoOXSZsOuh48axSXFLJj8QNsjBGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51907f0a3e4efee8f8511be2ac50ddd7690805b91bfe2bf71750cb68684c0ab8","last_reissued_at":"2026-07-05T11:18:35.283371Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:18:35.283371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.07910","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":"2026-07-05T11:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GZaCZfe75gEg6NDWzl/L8j9Nc5I7t/o3hYP/qKrLjSDKczqORyNYf1cp9GGk/p43uRrWrCQOIrm99MS4PiuQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:54:35.025554Z"},"content_sha256":"b162a3337f6af83c686e82a42102874d290ee12bbbf6a3dd626af342ef5854db","schema_version":"1.0","event_id":"sha256:b162a3337f6af83c686e82a42102874d290ee12bbbf6a3dd626af342ef5854db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KGIH6CR6J37OR6CRDPRKYUG525","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A structural nested rate model for estimating the effects of time-varying exposure on recurrent event outcomes in the presence of death","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Ashkan Ertefaie, Daniel Mork, Francesca Dominici, Michelle Audirac, Robert L. Strawderman","submitted_at":"2025-06-09T16:26:12Z","abstract_excerpt":"Assessing the causal effect of time-varying exposures on recurrent event processes is challenging in the presence of a terminating event. Our objective is to estimate both the short-term and delayed marginal causal effects of exposures on recurrent events while addressing the bias of a potentially correlated terminal event. Existing estimators based on marginal structural models and proportional rate models are unsuitable for estimating delayed marginal causal effects for many reasons, and furthermore, they do not account for competing risks associated with a terminating event. To address thes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07910","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/2506.07910/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/RiCH+M6aS4Z6lwlXFfb0dXENSUItBXTBuQssND7H8i1bK7UNWPpeixKPRmLIXGxmT1OttyFbgY2aH0Og0WAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:54:35.026441Z"},"content_sha256":"159590b94b3c1161e776bce4f44135cd3dc1be4b74eae3b53992bcf0baeabb25","schema_version":"1.0","event_id":"sha256:159590b94b3c1161e776bce4f44135cd3dc1be4b74eae3b53992bcf0baeabb25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KGIH6CR6J37OR6CRDPRKYUG525/bundle.json","state_url":"https://pith.science/pith/KGIH6CR6J37OR6CRDPRKYUG525/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KGIH6CR6J37OR6CRDPRKYUG525/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":"2026-08-09T07:54:35Z","links":{"resolver":"https://pith.science/pith/KGIH6CR6J37OR6CRDPRKYUG525","bundle":"https://pith.science/pith/KGIH6CR6J37OR6CRDPRKYUG525/bundle.json","state":"https://pith.science/pith/KGIH6CR6J37OR6CRDPRKYUG525/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KGIH6CR6J37OR6CRDPRKYUG525/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KGIH6CR6J37OR6CRDPRKYUG525","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":"9a3188170c7a1079fd6e35f9c2905003679aec751e538c69fb1b666386896f85","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T16:26:12Z","title_canon_sha256":"f33ee19314c0cedfb7909b2761bdb34faabde9d58a105b86d4194175cc489ed1"},"schema_version":"1.0","source":{"id":"2506.07910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07910","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07910v1","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07910","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"KGIH6CR6J37O","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_16","alias_value":"KGIH6CR6J37OR6CR","created_at":"2026-07-05T11:18:35Z"},{"alias_kind":"pith_short_8","alias_value":"KGIH6CR6","created_at":"2026-07-05T11:18:35Z"}],"graph_snapshots":[{"event_id":"sha256:159590b94b3c1161e776bce4f44135cd3dc1be4b74eae3b53992bcf0baeabb25","target":"graph","created_at":"2026-07-05T11:18:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.07910/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Assessing the causal effect of time-varying exposures on recurrent event processes is challenging in the presence of a terminating event. Our objective is to estimate both the short-term and delayed marginal causal effects of exposures on recurrent events while addressing the bias of a potentially correlated terminal event. Existing estimators based on marginal structural models and proportional rate models are unsuitable for estimating delayed marginal causal effects for many reasons, and furthermore, they do not account for competing risks associated with a terminating event. To address thes","authors_text":"Ashkan Ertefaie, Daniel Mork, Francesca Dominici, Michelle Audirac, Robert L. Strawderman","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T16:26:12Z","title":"A structural nested rate model for estimating the effects of time-varying exposure on recurrent event outcomes in the presence of death"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07910","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:b162a3337f6af83c686e82a42102874d290ee12bbbf6a3dd626af342ef5854db","target":"record","created_at":"2026-07-05T11:18:35Z","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":"9a3188170c7a1079fd6e35f9c2905003679aec751e538c69fb1b666386896f85","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T16:26:12Z","title_canon_sha256":"f33ee19314c0cedfb7909b2761bdb34faabde9d58a105b86d4194175cc489ed1"},"schema_version":"1.0","source":{"id":"2506.07910","kind":"arxiv","version":1}},"canonical_sha256":"51907f0a3e4efee8f8511be2ac50ddd7690805b91bfe2bf71750cb68684c0ab8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51907f0a3e4efee8f8511be2ac50ddd7690805b91bfe2bf71750cb68684c0ab8","first_computed_at":"2026-07-05T11:18:35.283371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:18:35.283371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5WpvKSg3YN7r979PI6N9aHz7l2IJbWQ0Z2TRLernHg9eqFsSBCLFvEi4kcoOXSZsOuh48axSXFLJj8QNsjBGAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:18:35.283790Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.07910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b162a3337f6af83c686e82a42102874d290ee12bbbf6a3dd626af342ef5854db","sha256:159590b94b3c1161e776bce4f44135cd3dc1be4b74eae3b53992bcf0baeabb25"],"state_sha256":"fb114db1cc65ba3d9631e7c46dbafe72abafb1553693046f9215272824b8b7c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"knldNH6WZd4VSF2V5SyONYdeW952EvsJtd2ZNnggBie4R3fs+FjJywZ0k40dXpSgKUjqAJfCDU6yZOd1dWYYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:54:35.036736Z","bundle_sha256":"f0542b1d13ea86920763dfc2a0bae1458788f402b95d6ffd4a86b6117c1ef362"}}