{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KW6OW7L365X2ZOL4EUCU7L5R6M","short_pith_number":"pith:KW6OW7L3","canonical_record":{"source":{"id":"1405.3380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-14T06:50:54Z","cross_cats_sorted":[],"title_canon_sha256":"bb7ccada51e9ad9f547406b4f178c0e90dc00b76a9bd6e56925d3264a7e9b7ef","abstract_canon_sha256":"590ee3e4ee086c6f6e99016917aba361e6f3d391893851f44fa4cbea2be6dd67"},"schema_version":"1.0"},"canonical_sha256":"55bceb7d7bf76facb97c25054fafb1f32fc3e2c70561b5649435c1b68b5467b1","source":{"kind":"arxiv","id":"1405.3380","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3380","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3380v1","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3380","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"KW6OW7L365X2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KW6OW7L365X2ZOL4","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KW6OW7L3","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KW6OW7L365X2ZOL4EUCU7L5R6M","target":"record","payload":{"canonical_record":{"source":{"id":"1405.3380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-14T06:50:54Z","cross_cats_sorted":[],"title_canon_sha256":"bb7ccada51e9ad9f547406b4f178c0e90dc00b76a9bd6e56925d3264a7e9b7ef","abstract_canon_sha256":"590ee3e4ee086c6f6e99016917aba361e6f3d391893851f44fa4cbea2be6dd67"},"schema_version":"1.0"},"canonical_sha256":"55bceb7d7bf76facb97c25054fafb1f32fc3e2c70561b5649435c1b68b5467b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:56.191086Z","signature_b64":"fLHmwRj8VUmWxftT1YUfBzUHhTAoWnKKfiDz4DTkbVT9/B5fKliPc6pgk/gW/5hoRfLSadyF5RVmQfZb197PDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55bceb7d7bf76facb97c25054fafb1f32fc3e2c70561b5649435c1b68b5467b1","last_reissued_at":"2026-05-18T02:51:56.190635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:56.190635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.3380","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":"2026-05-18T02:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTVXFjxjSEG0w1kPZg8iKnab2Hi4mqada+TEbSxmJ4Ic5XSyEbxjvgod1CbaCszdffxSlIRFflz4SUc8KfITCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:44:46.778219Z"},"content_sha256":"4ffce1f8e1087bfad72a354d31b7ae1b48e2b3bcc7864dfb1a3c16249f42aacf","schema_version":"1.0","event_id":"sha256:4ffce1f8e1087bfad72a354d31b7ae1b48e2b3bcc7864dfb1a3c16249f42aacf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KW6OW7L365X2ZOL4EUCU7L5R6M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identification Problem for The Analysis of Binary Data with Non-ignorable Missing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Kosuke Morikawa, Yutaka Kano","submitted_at":"2014-05-14T06:50:54Z","abstract_excerpt":"When a missing-data mechanism is NMAR or non-ignorable, missingness is itself vital information and it must be taken into the likelihood, which, however, needs to introduce additional parameters to be estimated. The incompleteness of the data and introduction of more parameters can cause the identification problem. When a response variable is binary, it becomes a more serious problem because of less information of bi- nary data, however, there are no methods to briefly verify whether a mode is identified or not. Therefore, we provide a new necessary and sufficient condition to easily check mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3380","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":"2026-05-18T02:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"INDvmzk6E/RLx8zCNUH6bnmqgTQevkicgErYD/2j3dpzyeM4CRJPWUY9R4P/pM9/739Wspf3g6EZHDSbRC2FCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:44:46.778581Z"},"content_sha256":"44b320feea3e02863d73cbb3473cee6a538dab833b199a59be03f99771d7cb34","schema_version":"1.0","event_id":"sha256:44b320feea3e02863d73cbb3473cee6a538dab833b199a59be03f99771d7cb34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/bundle.json","state_url":"https://pith.science/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/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":"2026-06-03T05:44:46Z","links":{"resolver":"https://pith.science/pith/KW6OW7L365X2ZOL4EUCU7L5R6M","bundle":"https://pith.science/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/bundle.json","state":"https://pith.science/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KW6OW7L365X2ZOL4EUCU7L5R6M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KW6OW7L365X2ZOL4EUCU7L5R6M","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":"590ee3e4ee086c6f6e99016917aba361e6f3d391893851f44fa4cbea2be6dd67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-14T06:50:54Z","title_canon_sha256":"bb7ccada51e9ad9f547406b4f178c0e90dc00b76a9bd6e56925d3264a7e9b7ef"},"schema_version":"1.0","source":{"id":"1405.3380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3380","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3380v1","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3380","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"KW6OW7L365X2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KW6OW7L365X2ZOL4","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KW6OW7L3","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:44b320feea3e02863d73cbb3473cee6a538dab833b199a59be03f99771d7cb34","target":"graph","created_at":"2026-05-18T02:51:56Z","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":"When a missing-data mechanism is NMAR or non-ignorable, missingness is itself vital information and it must be taken into the likelihood, which, however, needs to introduce additional parameters to be estimated. The incompleteness of the data and introduction of more parameters can cause the identification problem. When a response variable is binary, it becomes a more serious problem because of less information of bi- nary data, however, there are no methods to briefly verify whether a mode is identified or not. Therefore, we provide a new necessary and sufficient condition to easily check mod","authors_text":"Kosuke Morikawa, Yutaka Kano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-14T06:50:54Z","title":"Identification Problem for The Analysis of Binary Data with Non-ignorable Missing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3380","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":"sha256:4ffce1f8e1087bfad72a354d31b7ae1b48e2b3bcc7864dfb1a3c16249f42aacf","target":"record","created_at":"2026-05-18T02:51:56Z","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":"590ee3e4ee086c6f6e99016917aba361e6f3d391893851f44fa4cbea2be6dd67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-14T06:50:54Z","title_canon_sha256":"bb7ccada51e9ad9f547406b4f178c0e90dc00b76a9bd6e56925d3264a7e9b7ef"},"schema_version":"1.0","source":{"id":"1405.3380","kind":"arxiv","version":1}},"canonical_sha256":"55bceb7d7bf76facb97c25054fafb1f32fc3e2c70561b5649435c1b68b5467b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55bceb7d7bf76facb97c25054fafb1f32fc3e2c70561b5649435c1b68b5467b1","first_computed_at":"2026-05-18T02:51:56.190635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:56.190635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fLHmwRj8VUmWxftT1YUfBzUHhTAoWnKKfiDz4DTkbVT9/B5fKliPc6pgk/gW/5hoRfLSadyF5RVmQfZb197PDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:56.191086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ffce1f8e1087bfad72a354d31b7ae1b48e2b3bcc7864dfb1a3c16249f42aacf","sha256:44b320feea3e02863d73cbb3473cee6a538dab833b199a59be03f99771d7cb34"],"state_sha256":"a58c187a9f9fd20bdda62cef810e740bbfddc4fc67e38847515e7c58652758aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QBYzp0kV3NzavVIVngr0Ofn9a8TwDENjqTRGDCr7MlrKRNLsowYfazZ1/jelfmDLYcq1AKNBe02MI/N18ewIAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:44:46.780505Z","bundle_sha256":"cfc2ae3ba1e456435723650d579fa01d76b11e0b9b8d75898c2fd72cf9e48fc5"}}