{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IGF5DVJYK6JVCAGOECRUYJWO27","short_pith_number":"pith:IGF5DVJY","canonical_record":{"source":{"id":"1201.1155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T12:50:46Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"172bd29f1825f7a3ead1532e187df8cd57ef8d5367e74af611e95e0218136ea5","abstract_canon_sha256":"d4ca74a4729defa057167db3ce472dd46819346c38fa7245a035ab758b61724b"},"schema_version":"1.0"},"canonical_sha256":"418bd1d53857935100ce20a34c26ced7e461824b9a79dda92b69284c531fc3b3","source":{"kind":"arxiv","id":"1201.1155","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1155","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1155v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1155","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"IGF5DVJYK6JV","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IGF5DVJYK6JVCAGO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IGF5DVJY","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IGF5DVJYK6JVCAGOECRUYJWO27","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T12:50:46Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"172bd29f1825f7a3ead1532e187df8cd57ef8d5367e74af611e95e0218136ea5","abstract_canon_sha256":"d4ca74a4729defa057167db3ce472dd46819346c38fa7245a035ab758b61724b"},"schema_version":"1.0"},"canonical_sha256":"418bd1d53857935100ce20a34c26ced7e461824b9a79dda92b69284c531fc3b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:05.937455Z","signature_b64":"R5Vu23wXF5YE1rFh+KBeFeqpS/yn+TQzcSvnV5fD819HFnvUC1Rcsk6oujltZX+fn+ArXH0/BI+jhYsCmH4+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"418bd1d53857935100ce20a34c26ced7e461824b9a79dda92b69284c531fc3b3","last_reissued_at":"2026-05-18T04:05:05.936714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:05.936714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1155","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":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qeqf80Oy+kPTFzxn3NeClpYlLa7DD9JVh4pT5vfgKbzhifVd9QISqxnSHnyC0I7i4dc4FHa6oZq9a+tFCt8PAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:08:12.601918Z"},"content_sha256":"b270295503ed73ffe4a2a3691966dfab9bb13f10c6ec164ce9483cb115155c8a","schema_version":"1.0","event_id":"sha256:b270295503ed73ffe4a2a3691966dfab9bb13f10c6ec164ce9483cb115155c8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IGF5DVJYK6JVCAGOECRUYJWO27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimation for an additive growth curve model with orthogonal design matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Guohua Yan, Jianhua Hu, Jinhong You","submitted_at":"2012-01-05T12:50:46Z","abstract_excerpt":"An additive growth curve model with orthogonal design matrices is proposed in which observations may have different profile forms. The proposed model allows us to fit data and then estimate parameters in a more parsimonious way than the traditional growth curve model. Two-stage generalized least-squares estimators for the regression coefficients are derived where a quadratic estimator for the covariance of observations is taken as the first-stage estimator. Consistency, asymptotic normality and asymptotic independence of these estimators are investigated. Simulation studies and a numerical exa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1155","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":"2026-05-18T04:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vmfwzy6q4I1JZpVga162U2Hu1vVcNl57oo4nVmdCUbe3U6vDJ20wtbL1plV0nkIViDMS/fkfILHQ9zUQ9ataAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:08:12.602270Z"},"content_sha256":"d9600c5baf3f597d35efbb32381ea8ed7b7796b037bf60f7736d95b3e33de8f4","schema_version":"1.0","event_id":"sha256:d9600c5baf3f597d35efbb32381ea8ed7b7796b037bf60f7736d95b3e33de8f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IGF5DVJYK6JVCAGOECRUYJWO27/bundle.json","state_url":"https://pith.science/pith/IGF5DVJYK6JVCAGOECRUYJWO27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IGF5DVJYK6JVCAGOECRUYJWO27/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":"2026-06-03T05:08:12Z","links":{"resolver":"https://pith.science/pith/IGF5DVJYK6JVCAGOECRUYJWO27","bundle":"https://pith.science/pith/IGF5DVJYK6JVCAGOECRUYJWO27/bundle.json","state":"https://pith.science/pith/IGF5DVJYK6JVCAGOECRUYJWO27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IGF5DVJYK6JVCAGOECRUYJWO27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IGF5DVJYK6JVCAGOECRUYJWO27","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":"d4ca74a4729defa057167db3ce472dd46819346c38fa7245a035ab758b61724b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T12:50:46Z","title_canon_sha256":"172bd29f1825f7a3ead1532e187df8cd57ef8d5367e74af611e95e0218136ea5"},"schema_version":"1.0","source":{"id":"1201.1155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1155","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1155v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1155","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"IGF5DVJYK6JV","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IGF5DVJYK6JVCAGO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IGF5DVJY","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:d9600c5baf3f597d35efbb32381ea8ed7b7796b037bf60f7736d95b3e33de8f4","target":"graph","created_at":"2026-05-18T04:05:05Z","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":"An additive growth curve model with orthogonal design matrices is proposed in which observations may have different profile forms. The proposed model allows us to fit data and then estimate parameters in a more parsimonious way than the traditional growth curve model. Two-stage generalized least-squares estimators for the regression coefficients are derived where a quadratic estimator for the covariance of observations is taken as the first-stage estimator. Consistency, asymptotic normality and asymptotic independence of these estimators are investigated. Simulation studies and a numerical exa","authors_text":"Guohua Yan, Jianhua Hu, Jinhong You","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T12:50:46Z","title":"Estimation for an additive growth curve model with orthogonal design matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1155","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:b270295503ed73ffe4a2a3691966dfab9bb13f10c6ec164ce9483cb115155c8a","target":"record","created_at":"2026-05-18T04:05:05Z","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":"d4ca74a4729defa057167db3ce472dd46819346c38fa7245a035ab758b61724b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T12:50:46Z","title_canon_sha256":"172bd29f1825f7a3ead1532e187df8cd57ef8d5367e74af611e95e0218136ea5"},"schema_version":"1.0","source":{"id":"1201.1155","kind":"arxiv","version":1}},"canonical_sha256":"418bd1d53857935100ce20a34c26ced7e461824b9a79dda92b69284c531fc3b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"418bd1d53857935100ce20a34c26ced7e461824b9a79dda92b69284c531fc3b3","first_computed_at":"2026-05-18T04:05:05.936714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:05.936714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R5Vu23wXF5YE1rFh+KBeFeqpS/yn+TQzcSvnV5fD819HFnvUC1Rcsk6oujltZX+fn+ArXH0/BI+jhYsCmH4+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:05.937455Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b270295503ed73ffe4a2a3691966dfab9bb13f10c6ec164ce9483cb115155c8a","sha256:d9600c5baf3f597d35efbb32381ea8ed7b7796b037bf60f7736d95b3e33de8f4"],"state_sha256":"26440be2b14cdc0ad285205bd7e69ae28ea576fae368096771feb67cd731eea2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHiwTHdBXEoGReT+hcXAiYctXJu5f5An3Cf5BIru5rhY12aB48jXLfZVeuA2On4x+VhhMRzk66Ruu+jLj4DjCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:08:12.604193Z","bundle_sha256":"57ceb4e4249c22024846a9b5d21565364881c489c4c2ba977a689f4070ed0fd8"}}