{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:LXRY6KG6Q3QSFRLKZSRYTL527T","short_pith_number":"pith:LXRY6KG6","canonical_record":{"source":{"id":"2102.01155","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-02-01T20:49:27Z","cross_cats_sorted":[],"title_canon_sha256":"eb092a0ffd6f2492f78e9af8f9ae2a2f74502eff67c51c8abd056918dc1b8ec5","abstract_canon_sha256":"3b7e1a781cd7f9984045f4939b2c7cc8778b1865432198fa4ddc357e907d7c02"},"schema_version":"1.0"},"canonical_sha256":"5de38f28de86e122c56acca389afbafce691d25129b60a6db8df204af3182e1d","source":{"kind":"arxiv","id":"2102.01155","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.01155","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"2102.01155v2","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.01155","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"LXRY6KG6Q3QS","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"LXRY6KG6Q3QSFRLK","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"LXRY6KG6","created_at":"2026-07-05T07:59:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:LXRY6KG6Q3QSFRLKZSRYTL527T","target":"record","payload":{"canonical_record":{"source":{"id":"2102.01155","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-02-01T20:49:27Z","cross_cats_sorted":[],"title_canon_sha256":"eb092a0ffd6f2492f78e9af8f9ae2a2f74502eff67c51c8abd056918dc1b8ec5","abstract_canon_sha256":"3b7e1a781cd7f9984045f4939b2c7cc8778b1865432198fa4ddc357e907d7c02"},"schema_version":"1.0"},"canonical_sha256":"5de38f28de86e122c56acca389afbafce691d25129b60a6db8df204af3182e1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:59:45.235920Z","signature_b64":"zzFWa67xycTmmK6HyTj6l583ek/SM0eDPBH3J0FO+8izL5V7fVuEl90+N21CK1gdxPLUrzJFjRr8Q2XZT2nICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5de38f28de86e122c56acca389afbafce691d25129b60a6db8df204af3182e1d","last_reissued_at":"2026-07-05T07:59:45.235545Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:59:45.235545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.01155","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSx7yAG1y7oDLxwtyagklQAi13ctTIsmlZgYphumeZfFOwmJoclzMAjgFq+Hl6jb+WXInqNSI0i4FChRCftQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:42:28.118986Z"},"content_sha256":"947bc31fc9c9df9117b348e77baf4af121f7943f6ffeb82d44fb5529c9b262be","schema_version":"1.0","event_id":"sha256:947bc31fc9c9df9117b348e77baf4af121f7943f6ffeb82d44fb5529c9b262be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:LXRY6KG6Q3QSFRLKZSRYTL527T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"G-Formula for Observational Studies under Stratified Interference, with Application to Bed Net Use on Malaria","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Chanhwa Lee, Kayla W. Kilpatrick, Michael G. Hudgens","submitted_at":"2021-02-01T20:49:27Z","abstract_excerpt":"Assessing population-level effects of vaccines and other infectious disease prevention measures is important to the field of public health. In infectious disease studies, one person's treatment may affect another individual's outcome, i.e., there may be interference between units. For example, the use of bed nets to prevent malaria by one individual may have an indirect effect on other individuals living in close proximity. In some settings, individuals may form groups or clusters where interference only occurs within groups, i.e., there is partial interference. Inverse probability weighted es"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.01155","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/2102.01155/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":"2026-07-05T07:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/hbfbhuZyCe9+fIqwecU9fvc92gyc8O2oJh0vgKcMYy4HXiKhH4XafLZUk/a3fTG6z4YkjCKTvnWtSmxBkWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:42:28.119369Z"},"content_sha256":"6682516852945ca8f21ac26bbdfd382b7e67176eb5ecb43304863f7a42166088","schema_version":"1.0","event_id":"sha256:6682516852945ca8f21ac26bbdfd382b7e67176eb5ecb43304863f7a42166088"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/bundle.json","state_url":"https://pith.science/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/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":"2026-07-07T11:42:28Z","links":{"resolver":"https://pith.science/pith/LXRY6KG6Q3QSFRLKZSRYTL527T","bundle":"https://pith.science/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/bundle.json","state":"https://pith.science/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXRY6KG6Q3QSFRLKZSRYTL527T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LXRY6KG6Q3QSFRLKZSRYTL527T","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":"3b7e1a781cd7f9984045f4939b2c7cc8778b1865432198fa4ddc357e907d7c02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-02-01T20:49:27Z","title_canon_sha256":"eb092a0ffd6f2492f78e9af8f9ae2a2f74502eff67c51c8abd056918dc1b8ec5"},"schema_version":"1.0","source":{"id":"2102.01155","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.01155","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"2102.01155v2","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.01155","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"LXRY6KG6Q3QS","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"LXRY6KG6Q3QSFRLK","created_at":"2026-07-05T07:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"LXRY6KG6","created_at":"2026-07-05T07:59:45Z"}],"graph_snapshots":[{"event_id":"sha256:6682516852945ca8f21ac26bbdfd382b7e67176eb5ecb43304863f7a42166088","target":"graph","created_at":"2026-07-05T07:59:45Z","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/2102.01155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Assessing population-level effects of vaccines and other infectious disease prevention measures is important to the field of public health. In infectious disease studies, one person's treatment may affect another individual's outcome, i.e., there may be interference between units. For example, the use of bed nets to prevent malaria by one individual may have an indirect effect on other individuals living in close proximity. In some settings, individuals may form groups or clusters where interference only occurs within groups, i.e., there is partial interference. Inverse probability weighted es","authors_text":"Chanhwa Lee, Kayla W. Kilpatrick, Michael G. Hudgens","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-02-01T20:49:27Z","title":"G-Formula for Observational Studies under Stratified Interference, with Application to Bed Net Use on Malaria"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.01155","kind":"arxiv","version":2},"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":"sha256:947bc31fc9c9df9117b348e77baf4af121f7943f6ffeb82d44fb5529c9b262be","target":"record","created_at":"2026-07-05T07:59:45Z","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":"3b7e1a781cd7f9984045f4939b2c7cc8778b1865432198fa4ddc357e907d7c02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2021-02-01T20:49:27Z","title_canon_sha256":"eb092a0ffd6f2492f78e9af8f9ae2a2f74502eff67c51c8abd056918dc1b8ec5"},"schema_version":"1.0","source":{"id":"2102.01155","kind":"arxiv","version":2}},"canonical_sha256":"5de38f28de86e122c56acca389afbafce691d25129b60a6db8df204af3182e1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5de38f28de86e122c56acca389afbafce691d25129b60a6db8df204af3182e1d","first_computed_at":"2026-07-05T07:59:45.235545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:45.235545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zzFWa67xycTmmK6HyTj6l583ek/SM0eDPBH3J0FO+8izL5V7fVuEl90+N21CK1gdxPLUrzJFjRr8Q2XZT2nICQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:45.235920Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.01155","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:947bc31fc9c9df9117b348e77baf4af121f7943f6ffeb82d44fb5529c9b262be","sha256:6682516852945ca8f21ac26bbdfd382b7e67176eb5ecb43304863f7a42166088"],"state_sha256":"9a54d898e39e67e8db4ee0aa19830c0d1554d2a2484c976f9f473893bc9abd0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QhguDrqNgbk7lj5oiDCRRrgLFHX+Iedn8Ptket+m17grdW3ZvGHPprh8s4RZeiIhPd+my6uAywyJwhRARnsCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:42:28.121351Z","bundle_sha256":"45de72417e5483250d66a2ec66cc8e1562a3f086bd547d78779de60207439ff9"}}