{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7ZWFGNHLP7ZNH5FCS2WGCZ6PZK","short_pith_number":"pith:7ZWFGNHL","canonical_record":{"source":{"id":"1808.03993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-08-12T19:34:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"351fa76df4aab4f997ef2a47d21509200f3b4c913193ab8479396b9b7237ad12","abstract_canon_sha256":"8294d36f3ccd6df78684f37b581aaf8c6051b76d6ee0cf0c1aec103583e5bce6"},"schema_version":"1.0"},"canonical_sha256":"fe6c5334eb7ff2d3f4a296ac6167cfcab8f76ac4763cbcdf9856279d98a3d552","source":{"kind":"arxiv","id":"1808.03993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03993","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03993v1","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03993","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"pith_short_12","alias_value":"7ZWFGNHLP7ZN","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"7ZWFGNHLP7ZNH5FC","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"7ZWFGNHL","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7ZWFGNHLP7ZNH5FCS2WGCZ6PZK","target":"record","payload":{"canonical_record":{"source":{"id":"1808.03993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-08-12T19:34:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"351fa76df4aab4f997ef2a47d21509200f3b4c913193ab8479396b9b7237ad12","abstract_canon_sha256":"8294d36f3ccd6df78684f37b581aaf8c6051b76d6ee0cf0c1aec103583e5bce6"},"schema_version":"1.0"},"canonical_sha256":"fe6c5334eb7ff2d3f4a296ac6167cfcab8f76ac4763cbcdf9856279d98a3d552","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:19.157024Z","signature_b64":"vW1GgA8hCypfBvKGTWvYGI//RXoVOOJEdKwBZoP47CnNWET5I43wXIfQqwPsdXhgc1ghj6mDT/Ir9Ns5j/btDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe6c5334eb7ff2d3f4a296ac6167cfcab8f76ac4763cbcdf9856279d98a3d552","last_reissued_at":"2026-05-18T00:08:19.156298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:19.156298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.03993","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":"2026-05-18T00:08:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jJq2nLfLKvBCPmLdX+zgrmcqoEPKh7/Qqu0oXEO2LFIDt55QrtQ1hg1rGyTM8TX9LZ+lyUKoLUxCTazh0AxJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T08:16:44.290370Z"},"content_sha256":"08562b0df8bba2d86b4b1a9b3d298b12177ba40a2cabbcfb023179b6789a5b15","schema_version":"1.0","event_id":"sha256:08562b0df8bba2d86b4b1a9b3d298b12177ba40a2cabbcfb023179b6789a5b15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7ZWFGNHLP7ZNH5FCS2WGCZ6PZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Various Optimality Criteria for the Prediction of Individual Response Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Maryna Prus","submitted_at":"2018-08-12T19:34:30Z","abstract_excerpt":"We consider optimal designs for the Kiefer cirteria, which include the E-criterion as a particular case, and the G-criterion in random coefficients regression (RCR) models. We obtain general the Kiefer criteria for approximate designs and prove the equivalence of the E-criteria in the fixed effects and RCR models. We discuss in detail the G-criterion for ordinary linear regression on specific design regions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03993","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":"2026-05-18T00:08:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2JJqP4CqR9ClMd1vOqv429PCTxcurhCfXh2ucXal8NbaCQEbv0Y+CDUFn2p/IwX9xYoD5p8DqDwDBiqgv76pAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T08:16:44.290710Z"},"content_sha256":"e7fbb62098d432b64e8f1041fa146ebf931518ca38210a258302b96cf8a9027c","schema_version":"1.0","event_id":"sha256:e7fbb62098d432b64e8f1041fa146ebf931518ca38210a258302b96cf8a9027c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/bundle.json","state_url":"https://pith.science/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/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":"2026-07-03T08:16:44Z","links":{"resolver":"https://pith.science/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK","bundle":"https://pith.science/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/bundle.json","state":"https://pith.science/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ZWFGNHLP7ZNH5FCS2WGCZ6PZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7ZWFGNHLP7ZNH5FCS2WGCZ6PZK","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":"8294d36f3ccd6df78684f37b581aaf8c6051b76d6ee0cf0c1aec103583e5bce6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-08-12T19:34:30Z","title_canon_sha256":"351fa76df4aab4f997ef2a47d21509200f3b4c913193ab8479396b9b7237ad12"},"schema_version":"1.0","source":{"id":"1808.03993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03993","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03993v1","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03993","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"pith_short_12","alias_value":"7ZWFGNHLP7ZN","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"7ZWFGNHLP7ZNH5FC","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"7ZWFGNHL","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:e7fbb62098d432b64e8f1041fa146ebf931518ca38210a258302b96cf8a9027c","target":"graph","created_at":"2026-05-18T00:08:19Z","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":"We consider optimal designs for the Kiefer cirteria, which include the E-criterion as a particular case, and the G-criterion in random coefficients regression (RCR) models. We obtain general the Kiefer criteria for approximate designs and prove the equivalence of the E-criteria in the fixed effects and RCR models. We discuss in detail the G-criterion for ordinary linear regression on specific design regions.","authors_text":"Maryna Prus","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-08-12T19:34:30Z","title":"Various Optimality Criteria for the Prediction of Individual Response Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03993","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":"sha256:08562b0df8bba2d86b4b1a9b3d298b12177ba40a2cabbcfb023179b6789a5b15","target":"record","created_at":"2026-05-18T00:08:19Z","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":"8294d36f3ccd6df78684f37b581aaf8c6051b76d6ee0cf0c1aec103583e5bce6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-08-12T19:34:30Z","title_canon_sha256":"351fa76df4aab4f997ef2a47d21509200f3b4c913193ab8479396b9b7237ad12"},"schema_version":"1.0","source":{"id":"1808.03993","kind":"arxiv","version":1}},"canonical_sha256":"fe6c5334eb7ff2d3f4a296ac6167cfcab8f76ac4763cbcdf9856279d98a3d552","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe6c5334eb7ff2d3f4a296ac6167cfcab8f76ac4763cbcdf9856279d98a3d552","first_computed_at":"2026-05-18T00:08:19.156298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:19.156298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vW1GgA8hCypfBvKGTWvYGI//RXoVOOJEdKwBZoP47CnNWET5I43wXIfQqwPsdXhgc1ghj6mDT/Ir9Ns5j/btDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:19.157024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08562b0df8bba2d86b4b1a9b3d298b12177ba40a2cabbcfb023179b6789a5b15","sha256:e7fbb62098d432b64e8f1041fa146ebf931518ca38210a258302b96cf8a9027c"],"state_sha256":"9bc65ec89fe08de791f90a3e6a22016ba6e8914856ead8d1725383e882ac2894"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kRnXYpA59ESfKEhNxXKJe8haMgFrM5+D0Nb26sB+2zTvS3yKAq0hGUo5tIy9h6rUGqNWn78SF9nPE8PVtfH8Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T08:16:44.292623Z","bundle_sha256":"449effc53c472f5453a38f6da7e5f8a893024e4b464929c55ac0c12a1cc0c375"}}