{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YBZTHYGRANVXUYL6YBM47R4TJQ","short_pith_number":"pith:YBZTHYGR","canonical_record":{"source":{"id":"1603.06045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-19T04:20:28Z","cross_cats_sorted":[],"title_canon_sha256":"529aa5e6855f25f9b11b55fee536023eedc30f4c0cf0e23415069403094b6eae","abstract_canon_sha256":"12d7738bc7504389c8fcaf582e8fc68a7313788a2e2199919ea69427fdfd011a"},"schema_version":"1.0"},"canonical_sha256":"c07333e0d1036b7a617ec059cfc7934c046b67159d959a0ad28dc3598e158656","source":{"kind":"arxiv","id":"1603.06045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06045","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06045v1","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06045","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"YBZTHYGRANVX","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBZTHYGRANVXUYL6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBZTHYGR","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YBZTHYGRANVXUYL6YBM47R4TJQ","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-19T04:20:28Z","cross_cats_sorted":[],"title_canon_sha256":"529aa5e6855f25f9b11b55fee536023eedc30f4c0cf0e23415069403094b6eae","abstract_canon_sha256":"12d7738bc7504389c8fcaf582e8fc68a7313788a2e2199919ea69427fdfd011a"},"schema_version":"1.0"},"canonical_sha256":"c07333e0d1036b7a617ec059cfc7934c046b67159d959a0ad28dc3598e158656","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:51.911566Z","signature_b64":"K2VsWB2FGK9pEp84Naph8vGXvC4eIqecl01i2bvyzxqkS8farJ9jSd9Oisfsj1sx7bGlSOM4j+fxiXDfNg3FCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c07333e0d1036b7a617ec059cfc7934c046b67159d959a0ad28dc3598e158656","last_reissued_at":"2026-05-18T01:18:51.910995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:51.910995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06045","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":"2026-05-18T01:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ejX3+DgvUpCZOqwyudGV85ql+Aku+6P1UDjsDxCt+U63D6r92IkK78pog9Ysocm09IHp4CbqzSA0OvMjHUkoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:11:39.677759Z"},"content_sha256":"df96ac0472ebf97d044310b3474fffae0d6cba0dee54683723f559ed6188f703","schema_version":"1.0","event_id":"sha256:df96ac0472ebf97d044310b3474fffae0d6cba0dee54683723f559ed6188f703"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YBZTHYGRANVXUYL6YBM47R4TJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-standard conditionally specified models for non-ignorable missing data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Alexander M Franks, Donald B Rubin, Edoardo M Airoldi","submitted_at":"2016-03-19T04:20:28Z","abstract_excerpt":"Data analyses typically rely upon assumptions about missingness mechanisms that lead to observed versus missing data. When the data are missing not at random, direct assumptions about the missingness mechanism, and indirect assumptions about the distributions of observed and missing data, are typically untestable. We explore an approach, where the joint distribution of observed data and missing data is specified through non-standard conditional distributions. In this formulation, which traces back to a factorization of the joint distribution, apparently proposed by J.W. Tukey, the modeling ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06045","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":"2026-05-18T01:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KORkD39FDiYCO2eFqX1kglSr4126mqHHSTnWfXoUabaJ4BMxsnr/5qF2kOEkm3Lmbdncy4PB+dPHpyF5GOmxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:11:39.678395Z"},"content_sha256":"4b739cdcfbb8d2fd88e3b9bffc6518bb4c78f686a74324e33debe5b3ecc89dcb","schema_version":"1.0","event_id":"sha256:4b739cdcfbb8d2fd88e3b9bffc6518bb4c78f686a74324e33debe5b3ecc89dcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/bundle.json","state_url":"https://pith.science/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/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":"2026-05-31T19:11:39Z","links":{"resolver":"https://pith.science/pith/YBZTHYGRANVXUYL6YBM47R4TJQ","bundle":"https://pith.science/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/bundle.json","state":"https://pith.science/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBZTHYGRANVXUYL6YBM47R4TJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YBZTHYGRANVXUYL6YBM47R4TJQ","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":"12d7738bc7504389c8fcaf582e8fc68a7313788a2e2199919ea69427fdfd011a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-19T04:20:28Z","title_canon_sha256":"529aa5e6855f25f9b11b55fee536023eedc30f4c0cf0e23415069403094b6eae"},"schema_version":"1.0","source":{"id":"1603.06045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06045","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06045v1","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06045","created_at":"2026-05-18T01:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"YBZTHYGRANVX","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBZTHYGRANVXUYL6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBZTHYGR","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:4b739cdcfbb8d2fd88e3b9bffc6518bb4c78f686a74324e33debe5b3ecc89dcb","target":"graph","created_at":"2026-05-18T01:18:51Z","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":"Data analyses typically rely upon assumptions about missingness mechanisms that lead to observed versus missing data. When the data are missing not at random, direct assumptions about the missingness mechanism, and indirect assumptions about the distributions of observed and missing data, are typically untestable. We explore an approach, where the joint distribution of observed data and missing data is specified through non-standard conditional distributions. In this formulation, which traces back to a factorization of the joint distribution, apparently proposed by J.W. Tukey, the modeling ass","authors_text":"Alexander M Franks, Donald B Rubin, Edoardo M Airoldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-19T04:20:28Z","title":"Non-standard conditionally specified models for non-ignorable missing data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06045","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:df96ac0472ebf97d044310b3474fffae0d6cba0dee54683723f559ed6188f703","target":"record","created_at":"2026-05-18T01:18:51Z","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":"12d7738bc7504389c8fcaf582e8fc68a7313788a2e2199919ea69427fdfd011a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-19T04:20:28Z","title_canon_sha256":"529aa5e6855f25f9b11b55fee536023eedc30f4c0cf0e23415069403094b6eae"},"schema_version":"1.0","source":{"id":"1603.06045","kind":"arxiv","version":1}},"canonical_sha256":"c07333e0d1036b7a617ec059cfc7934c046b67159d959a0ad28dc3598e158656","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c07333e0d1036b7a617ec059cfc7934c046b67159d959a0ad28dc3598e158656","first_computed_at":"2026-05-18T01:18:51.910995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:51.910995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2VsWB2FGK9pEp84Naph8vGXvC4eIqecl01i2bvyzxqkS8farJ9jSd9Oisfsj1sx7bGlSOM4j+fxiXDfNg3FCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:51.911566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df96ac0472ebf97d044310b3474fffae0d6cba0dee54683723f559ed6188f703","sha256:4b739cdcfbb8d2fd88e3b9bffc6518bb4c78f686a74324e33debe5b3ecc89dcb"],"state_sha256":"eb85a6147895ad209baefe9955a1d170d7f65223d206aedefb7bbfa6ff8a6232"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ayfqj1VmwJjGSIzxP7YWjSv541QHUGR9Rz3pxtYl20xO6pSJi3hizgEmfg/z8aFTrPnuaQMZHojzcAOPNf6SDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:11:39.681505Z","bundle_sha256":"d3c8d55c80b56f527dce28b6500f3577bd4528ea3c87d3db571d2a0ba1178b3b"}}