{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PTCUUZJVBEOF32JLOO7IQDDYEY","short_pith_number":"pith:PTCUUZJV","schema_version":"1.0","canonical_sha256":"7cc54a6535091c5de92b73be880c78263803d774e2466e226d7f78c1195ac8be","source":{"kind":"arxiv","id":"1502.05990","version":5},"attestation_state":"computed","paper":{"title":"D-optimal Designs with Ordered Categorical Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Abhyuday Mandal, Jie Yang, Liping Tong","submitted_at":"2015-02-20T20:51:49Z","abstract_excerpt":"Cumulative link models have been widely used for ordered categorical responses. Uniform allocation of experimental units is commonly used in practice, but often suffers from a lack of efficiency. We consider D-optimal designs with ordered categorical responses and cumulative link models. For a predetermined set of design points, we derive the necessary and sufficient conditions for an allocation to be locally D-optimal and develop efficient algorithms for obtaining approximate and exact designs. We prove that the number of support points in a minimally supported design only depends on the numb"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.05990","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-20T20:51:49Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b5f6a85000168db0a893057aee2bb512a02b53ee21af231881c00612d979752a","abstract_canon_sha256":"583aa10b9fda046019bce80bc928fda0f21a5c4d74e9fc7aedb87ab6f3afad86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:05.741611Z","signature_b64":"WotrxG7a+PMwcB8yze3Ph7Wwj00EvZfX3zf8K/D52Be8VQzJzL2v79nO7C5qLT12v5JCFH2SAZdOLr3wzdjCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cc54a6535091c5de92b73be880c78263803d774e2466e226d7f78c1195ac8be","last_reissued_at":"2026-05-18T00:31:05.740988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:05.740988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"D-optimal Designs with Ordered Categorical Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Abhyuday Mandal, Jie Yang, Liping Tong","submitted_at":"2015-02-20T20:51:49Z","abstract_excerpt":"Cumulative link models have been widely used for ordered categorical responses. Uniform allocation of experimental units is commonly used in practice, but often suffers from a lack of efficiency. We consider D-optimal designs with ordered categorical responses and cumulative link models. For a predetermined set of design points, we derive the necessary and sufficient conditions for an allocation to be locally D-optimal and develop efficient algorithms for obtaining approximate and exact designs. We prove that the number of support points in a minimally supported design only depends on the numb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05990","kind":"arxiv","version":5},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.05990","created_at":"2026-05-18T00:31:05.741068+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.05990v5","created_at":"2026-05-18T00:31:05.741068+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05990","created_at":"2026-05-18T00:31:05.741068+00:00"},{"alias_kind":"pith_short_12","alias_value":"PTCUUZJVBEOF","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PTCUUZJVBEOF32JL","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PTCUUZJV","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY","json":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY.json","graph_json":"https://pith.science/api/pith-number/PTCUUZJVBEOF32JLOO7IQDDYEY/graph.json","events_json":"https://pith.science/api/pith-number/PTCUUZJVBEOF32JLOO7IQDDYEY/events.json","paper":"https://pith.science/paper/PTCUUZJV"},"agent_actions":{"view_html":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY","download_json":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY.json","view_paper":"https://pith.science/paper/PTCUUZJV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.05990&json=true","fetch_graph":"https://pith.science/api/pith-number/PTCUUZJVBEOF32JLOO7IQDDYEY/graph.json","fetch_events":"https://pith.science/api/pith-number/PTCUUZJVBEOF32JLOO7IQDDYEY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY/action/storage_attestation","attest_author":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY/action/author_attestation","sign_citation":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY/action/citation_signature","submit_replication":"https://pith.science/pith/PTCUUZJVBEOF32JLOO7IQDDYEY/action/replication_record"}},"created_at":"2026-05-18T00:31:05.741068+00:00","updated_at":"2026-05-18T00:31:05.741068+00:00"}