{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D5CETKXIITYSHW4JY5AG5T7E3R","short_pith_number":"pith:D5CETKXI","canonical_record":{"source":{"id":"1502.03193","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-11T04:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"ae802ea78970b6b83103a3a3f6873ec24108eb3d8d0d11f7fbd1b60e0703b96e","abstract_canon_sha256":"80e09ec979298b70f8145a8aa774896dc7ca7fe058a293ed7604d512f3d64004"},"schema_version":"1.0"},"canonical_sha256":"1f4449aae844f123db89c7406ecfe4dc5b79521aec3c0a6f36d51af1081dc6ac","source":{"kind":"arxiv","id":"1502.03193","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03193","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03193v4","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03193","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"D5CETKXIITYS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D5CETKXIITYSHW4J","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D5CETKXI","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D5CETKXIITYSHW4JY5AG5T7E3R","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03193","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-11T04:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"ae802ea78970b6b83103a3a3f6873ec24108eb3d8d0d11f7fbd1b60e0703b96e","abstract_canon_sha256":"80e09ec979298b70f8145a8aa774896dc7ca7fe058a293ed7604d512f3d64004"},"schema_version":"1.0"},"canonical_sha256":"1f4449aae844f123db89c7406ecfe4dc5b79521aec3c0a6f36d51af1081dc6ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:46.432234Z","signature_b64":"HnIUP1NIggAIQ+gFDtHP8l9TPENopwv7LJs/jEmKzFIy7S4nxBm1eYhFwcS/qlPLArPaENVmQC8PrmckL6IHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f4449aae844f123db89c7406ecfe4dc5b79521aec3c0a6f36d51af1081dc6ac","last_reissued_at":"2026-05-18T01:05:46.431711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:46.431711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03193","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":"2026-05-18T01:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rBx0PnomHRZ8NLiMWnMy45Hphu2KgM0EUpAnRdsAJW0N+wnhziMKq7GOvEIvyHDPXl0xpS3Z0ssa3ljL3UcfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:40:56.787016Z"},"content_sha256":"54d714e4db1396f594ab33d75360e3a1c2cd6c1ec990c80cd149bd6780c47173","schema_version":"1.0","event_id":"sha256:54d714e4db1396f594ab33d75360e3a1c2cd6c1ec990c80cd149bd6780c47173"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D5CETKXIITYSHW4JY5AG5T7E3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistent Estimation in Box-Cox Transformed Linear Mixed Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Shonosuke Sugasawa, Tatsuya Kubokawa","submitted_at":"2015-02-11T04:43:33Z","abstract_excerpt":"The Box-Cox transformation is applied to the linear mixed models for analyzing positive and grouped data. The problem in using Box Cox transformation is that the maximum likelihood estimator of the transformation parameter is generally inconsistent. To fix it, we suggest a simple and consistent estimator for the transformation parameter based on the moment method. The consistent estimator is used to construct consistent estimators of the parameters involved in the model and under some conditions, the estimators of model parameters are shown to be consistent under $m\\to\\infty$, where $m$ is the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03193","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":"2026-05-18T01:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SI4dc5+FkoDpVzSVnM7HR6LrSeBN7yrX1i3ksZFoXj1bRZZ3Wj7G/W6gbi2HPBhZqQjWJ17thdv59vpHmw/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:40:56.787655Z"},"content_sha256":"aac4f69952f8a1bbff4beffb5caf906a242ae68d592927fd4e8ee513c447f7ad","schema_version":"1.0","event_id":"sha256:aac4f69952f8a1bbff4beffb5caf906a242ae68d592927fd4e8ee513c447f7ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5CETKXIITYSHW4JY5AG5T7E3R/bundle.json","state_url":"https://pith.science/pith/D5CETKXIITYSHW4JY5AG5T7E3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5CETKXIITYSHW4JY5AG5T7E3R/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":"2026-05-30T19:40:56Z","links":{"resolver":"https://pith.science/pith/D5CETKXIITYSHW4JY5AG5T7E3R","bundle":"https://pith.science/pith/D5CETKXIITYSHW4JY5AG5T7E3R/bundle.json","state":"https://pith.science/pith/D5CETKXIITYSHW4JY5AG5T7E3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5CETKXIITYSHW4JY5AG5T7E3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D5CETKXIITYSHW4JY5AG5T7E3R","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":"80e09ec979298b70f8145a8aa774896dc7ca7fe058a293ed7604d512f3d64004","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-11T04:43:33Z","title_canon_sha256":"ae802ea78970b6b83103a3a3f6873ec24108eb3d8d0d11f7fbd1b60e0703b96e"},"schema_version":"1.0","source":{"id":"1502.03193","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03193","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03193v4","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03193","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"D5CETKXIITYS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D5CETKXIITYSHW4J","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D5CETKXI","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:aac4f69952f8a1bbff4beffb5caf906a242ae68d592927fd4e8ee513c447f7ad","target":"graph","created_at":"2026-05-18T01:05:46Z","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 Box-Cox transformation is applied to the linear mixed models for analyzing positive and grouped data. The problem in using Box Cox transformation is that the maximum likelihood estimator of the transformation parameter is generally inconsistent. To fix it, we suggest a simple and consistent estimator for the transformation parameter based on the moment method. The consistent estimator is used to construct consistent estimators of the parameters involved in the model and under some conditions, the estimators of model parameters are shown to be consistent under $m\\to\\infty$, where $m$ is the","authors_text":"Shonosuke Sugasawa, Tatsuya Kubokawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-11T04:43:33Z","title":"Consistent Estimation in Box-Cox Transformed Linear Mixed Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03193","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":"sha256:54d714e4db1396f594ab33d75360e3a1c2cd6c1ec990c80cd149bd6780c47173","target":"record","created_at":"2026-05-18T01:05:46Z","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":"80e09ec979298b70f8145a8aa774896dc7ca7fe058a293ed7604d512f3d64004","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-11T04:43:33Z","title_canon_sha256":"ae802ea78970b6b83103a3a3f6873ec24108eb3d8d0d11f7fbd1b60e0703b96e"},"schema_version":"1.0","source":{"id":"1502.03193","kind":"arxiv","version":4}},"canonical_sha256":"1f4449aae844f123db89c7406ecfe4dc5b79521aec3c0a6f36d51af1081dc6ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f4449aae844f123db89c7406ecfe4dc5b79521aec3c0a6f36d51af1081dc6ac","first_computed_at":"2026-05-18T01:05:46.431711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:46.431711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HnIUP1NIggAIQ+gFDtHP8l9TPENopwv7LJs/jEmKzFIy7S4nxBm1eYhFwcS/qlPLArPaENVmQC8PrmckL6IHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:46.432234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03193","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54d714e4db1396f594ab33d75360e3a1c2cd6c1ec990c80cd149bd6780c47173","sha256:aac4f69952f8a1bbff4beffb5caf906a242ae68d592927fd4e8ee513c447f7ad"],"state_sha256":"ec262fc9b97c45034874f23e5f49c355aa2827f96a1541b4e904a8a34f416366"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y/SFiyMha2aymg2eH+gfsjqZFRM+49Vb4sCTPtGZWRmi9cvNZf/iVIWTYh3lUKTuEZrDSXJrgd332jNpko6YAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T19:40:56.791120Z","bundle_sha256":"f67c7d586411825b8c2230945f5a07d20dfd843b39b6ecce1064a33edb7f2402"}}