{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BCNK4BRKIGWH6IRC2X2X5VZ67M","short_pith_number":"pith:BCNK4BRK","canonical_record":{"source":{"id":"1505.02005","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-08T11:51:01Z","cross_cats_sorted":[],"title_canon_sha256":"5de50cb2b90f604ef2087acf9fa8e8d98b70650d300c831fac0f321b9500ed0c","abstract_canon_sha256":"b449c877e6def6557bbc3bbe0647e7927ecbeebc4da116ff76342cec4c56ad9a"},"schema_version":"1.0"},"canonical_sha256":"089aae062a41ac7f2222d5f57ed73efb03c62c0d2cf52706fc1d4c0cd444e62c","source":{"kind":"arxiv","id":"1505.02005","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02005","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02005v4","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02005","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"BCNK4BRKIGWH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BCNK4BRKIGWH6IRC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BCNK4BRK","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BCNK4BRKIGWH6IRC2X2X5VZ67M","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02005","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-08T11:51:01Z","cross_cats_sorted":[],"title_canon_sha256":"5de50cb2b90f604ef2087acf9fa8e8d98b70650d300c831fac0f321b9500ed0c","abstract_canon_sha256":"b449c877e6def6557bbc3bbe0647e7927ecbeebc4da116ff76342cec4c56ad9a"},"schema_version":"1.0"},"canonical_sha256":"089aae062a41ac7f2222d5f57ed73efb03c62c0d2cf52706fc1d4c0cd444e62c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:36.552412Z","signature_b64":"9eLQFAT+1/c4qaJkvkw57qRe4MRkCuecFFMSAV4Vxx0nhnCZbzvAInZDOZJz6xKcsaBSqZkk0Jw/iGyf2KwWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"089aae062a41ac7f2222d5f57ed73efb03c62c0d2cf52706fc1d4c0cd444e62c","last_reissued_at":"2026-05-18T00:31:36.551853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:36.551853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02005","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cFe+/qQJdy3dwDCI/SqUJRQFnYwiobC932k3QlSPbpWfOGqTy322yAZyNJI+TCpitsidMVI12jMo4uIey4p2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:49:41.211051Z"},"content_sha256":"2293a8b8e40dcdd46d9c7bed67adf45e39d874b274b9aefd90d2144c50712f2b","schema_version":"1.0","event_id":"sha256:2293a8b8e40dcdd46d9c7bed67adf45e39d874b274b9aefd90d2144c50712f2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BCNK4BRKIGWH6IRC2X2X5VZ67M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the occurrence of boundary solutions in two-way incomplete tables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"P. Vellaisamy, S. Ghosh","submitted_at":"2015-05-08T11:51:01Z","abstract_excerpt":"The analysis of incomplete contingency tables is an important problem, which is also of practical interest. In this paper, we consider boundary solutions under nonignorable nonresponse models in two-way incomplete tables with data on both variables missing. We establish a result similar to Park {\\it et al.} (2014) on sufficient conditions for the occurrence of boundary solutions. We also provide a new result, which connects the forms of boundary solutions under various parameterizations of the missing data models. This result helps us to obtain the exact form of boundary solutions in the above"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02005","kind":"arxiv","version":4},"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":"2026-05-18T00:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QY5Ry7lMgYaPxSgwLVvVYQblSMqHmcjQSs6kIwFPucYGlGU784tM8Ja13awsOgc4LSWr9fk3Qd8M1Nk9k6hZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:49:41.211409Z"},"content_sha256":"1db6033448b8fde417f688910be50516f5296639800ae7cf5e2d3441f26d3c9d","schema_version":"1.0","event_id":"sha256:1db6033448b8fde417f688910be50516f5296639800ae7cf5e2d3441f26d3c9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/bundle.json","state_url":"https://pith.science/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/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":"2026-06-01T05:49:41Z","links":{"resolver":"https://pith.science/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M","bundle":"https://pith.science/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/bundle.json","state":"https://pith.science/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BCNK4BRKIGWH6IRC2X2X5VZ67M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BCNK4BRKIGWH6IRC2X2X5VZ67M","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":"b449c877e6def6557bbc3bbe0647e7927ecbeebc4da116ff76342cec4c56ad9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-08T11:51:01Z","title_canon_sha256":"5de50cb2b90f604ef2087acf9fa8e8d98b70650d300c831fac0f321b9500ed0c"},"schema_version":"1.0","source":{"id":"1505.02005","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02005","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02005v4","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02005","created_at":"2026-05-18T00:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"BCNK4BRKIGWH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BCNK4BRKIGWH6IRC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BCNK4BRK","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:1db6033448b8fde417f688910be50516f5296639800ae7cf5e2d3441f26d3c9d","target":"graph","created_at":"2026-05-18T00:31:36Z","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":"The analysis of incomplete contingency tables is an important problem, which is also of practical interest. In this paper, we consider boundary solutions under nonignorable nonresponse models in two-way incomplete tables with data on both variables missing. We establish a result similar to Park {\\it et al.} (2014) on sufficient conditions for the occurrence of boundary solutions. We also provide a new result, which connects the forms of boundary solutions under various parameterizations of the missing data models. This result helps us to obtain the exact form of boundary solutions in the above","authors_text":"P. Vellaisamy, S. Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-08T11:51:01Z","title":"On the occurrence of boundary solutions in two-way incomplete tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02005","kind":"arxiv","version":4},"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":"sha256:2293a8b8e40dcdd46d9c7bed67adf45e39d874b274b9aefd90d2144c50712f2b","target":"record","created_at":"2026-05-18T00:31:36Z","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":"b449c877e6def6557bbc3bbe0647e7927ecbeebc4da116ff76342cec4c56ad9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-08T11:51:01Z","title_canon_sha256":"5de50cb2b90f604ef2087acf9fa8e8d98b70650d300c831fac0f321b9500ed0c"},"schema_version":"1.0","source":{"id":"1505.02005","kind":"arxiv","version":4}},"canonical_sha256":"089aae062a41ac7f2222d5f57ed73efb03c62c0d2cf52706fc1d4c0cd444e62c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"089aae062a41ac7f2222d5f57ed73efb03c62c0d2cf52706fc1d4c0cd444e62c","first_computed_at":"2026-05-18T00:31:36.551853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:36.551853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9eLQFAT+1/c4qaJkvkw57qRe4MRkCuecFFMSAV4Vxx0nhnCZbzvAInZDOZJz6xKcsaBSqZkk0Jw/iGyf2KwWBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:36.552412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02005","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2293a8b8e40dcdd46d9c7bed67adf45e39d874b274b9aefd90d2144c50712f2b","sha256:1db6033448b8fde417f688910be50516f5296639800ae7cf5e2d3441f26d3c9d"],"state_sha256":"be57671932f42817a5d33f41fbfd5dbdc48b6ed41ff06efbda7d1528dc084eca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RpYOGxw4SOwEoHxbQ4t7lsSrctm9AIqTU4f1lWKrL9HiAvz8U86X6f5WYpdHVnHxbZAaRo2nK7PPlSwJA4alDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:49:41.213560Z","bundle_sha256":"49da763981617d906cc9afb97f9d75dc565417b52ec6e293542f5a20717adcec"}}