{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DHR5W7B2HRXSVGZFD2ZBXYHB7X","short_pith_number":"pith:DHR5W7B2","schema_version":"1.0","canonical_sha256":"19e3db7c3a3c6f2a9b251eb21be0e1fdd469f725dd161dda0dfbd9230d8b14e2","source":{"kind":"arxiv","id":"1307.4953","version":3},"attestation_state":"computed","paper":{"title":"Computing exact $D$-optimal designs by mixed integer second-order cone programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","stat.TH"],"primary_cat":"math.ST","authors_text":"Guillaume Sagnol, Radoslav Harman","submitted_at":"2013-07-18T14:16:16Z","abstract_excerpt":"Let the design of an experiment be represented by an $s$-dimensional vector $\\mathbf {w}$ of weights with nonnegative components. Let the quality of $\\mathbf {w}$ for the estimation of the parameters of the statistical model be measured by the criterion of $D$-optimality, defined as the $m$th root of the determinant of the information matrix $M(\\mathbf {w})=\\sum_{i=1}^sw_iA_iA_i^T$, where $A_i,i=1,\\ldots,s$ are known matrices with $m$ rows. In this paper, we show that the criterion of $D$-optimality is second-order cone representable. As a result, the method of second-order cone programming ca"},"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":"1307.4953","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-07-18T14:16:16Z","cross_cats_sorted":["math.OC","stat.TH"],"title_canon_sha256":"bf55647570ca5904cfa6958930fd95a8be597411d9cf834a5a88e68f8a6859a6","abstract_canon_sha256":"e0e980854e55a297dd8395a442c7949c93665e6e0314d470b0a74f8e33265c4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:08.574128Z","signature_b64":"EpHp9i8AJIS7WY11vOAb4YxSJiu2LH8JhL44y/RfaElzDfTkj54nq9OgGHwMVzZjsPP2alt/0Qyplv/+ixxwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19e3db7c3a3c6f2a9b251eb21be0e1fdd469f725dd161dda0dfbd9230d8b14e2","last_reissued_at":"2026-05-18T01:30:08.573633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:08.573633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computing exact $D$-optimal designs by mixed integer second-order cone programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","stat.TH"],"primary_cat":"math.ST","authors_text":"Guillaume Sagnol, Radoslav Harman","submitted_at":"2013-07-18T14:16:16Z","abstract_excerpt":"Let the design of an experiment be represented by an $s$-dimensional vector $\\mathbf {w}$ of weights with nonnegative components. Let the quality of $\\mathbf {w}$ for the estimation of the parameters of the statistical model be measured by the criterion of $D$-optimality, defined as the $m$th root of the determinant of the information matrix $M(\\mathbf {w})=\\sum_{i=1}^sw_iA_iA_i^T$, where $A_i,i=1,\\ldots,s$ are known matrices with $m$ rows. In this paper, we show that the criterion of $D$-optimality is second-order cone representable. As a result, the method of second-order cone programming ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4953","kind":"arxiv","version":3},"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":"1307.4953","created_at":"2026-05-18T01:30:08.573704+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.4953v3","created_at":"2026-05-18T01:30:08.573704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4953","created_at":"2026-05-18T01:30:08.573704+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHR5W7B2HRXS","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHR5W7B2HRXSVGZF","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHR5W7B2","created_at":"2026-05-18T12:27:43.054852+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/DHR5W7B2HRXSVGZFD2ZBXYHB7X","json":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X.json","graph_json":"https://pith.science/api/pith-number/DHR5W7B2HRXSVGZFD2ZBXYHB7X/graph.json","events_json":"https://pith.science/api/pith-number/DHR5W7B2HRXSVGZFD2ZBXYHB7X/events.json","paper":"https://pith.science/paper/DHR5W7B2"},"agent_actions":{"view_html":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X","download_json":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X.json","view_paper":"https://pith.science/paper/DHR5W7B2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.4953&json=true","fetch_graph":"https://pith.science/api/pith-number/DHR5W7B2HRXSVGZFD2ZBXYHB7X/graph.json","fetch_events":"https://pith.science/api/pith-number/DHR5W7B2HRXSVGZFD2ZBXYHB7X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X/action/storage_attestation","attest_author":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X/action/author_attestation","sign_citation":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X/action/citation_signature","submit_replication":"https://pith.science/pith/DHR5W7B2HRXSVGZFD2ZBXYHB7X/action/replication_record"}},"created_at":"2026-05-18T01:30:08.573704+00:00","updated_at":"2026-05-18T01:30:08.573704+00:00"}