{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:74HB6E3BFJHJNKRX4CG4RGLQGC","short_pith_number":"pith:74HB6E3B","schema_version":"1.0","canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","source":{"kind":"arxiv","id":"1004.0784","version":3},"attestation_state":"computed","paper":{"title":"Maximin design on non hypercube domain and kernel interpolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Jean-Michel Marin, Pierre Barbillon, Yves Auffray","submitted_at":"2010-04-06T07:03:34Z","abstract_excerpt":"In the paradigm of computer experiments, the choice of an experimental design is an important issue. When no information is available about the black-box function to be approximated, an exploratory design have to be used. In this context, two dispersion criteria are usually considered: the minimax and the maximin ones. In the case of a hypercube domain, a standard strategy consists of taking the maximin design within the class of Latin hypercube designs. However, in a non hypercube context, it does not make sense to use the Latin hypercube strategy. Moreover, whatever the design is, the black-"},"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":"1004.0784","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-04-06T07:03:34Z","cross_cats_sorted":[],"title_canon_sha256":"038549a50260ba686a4721dde441a7ccb0fa386ab3a6412e192825abb2700b95","abstract_canon_sha256":"feff0e4455ab958cb39aac7c26106ae8c18600dc6fabdc82938aa54d141c9631"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:22.852993Z","signature_b64":"UgjKJ1VU/bD0wmsUPDEA0d5flucYeVfmljetSSieFMpIV0RNrxhVKcSb6L4ogWXFyuFJOClXt8hnEL/9qexaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","last_reissued_at":"2026-05-18T04:21:22.852576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:22.852576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximin design on non hypercube domain and kernel interpolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Jean-Michel Marin, Pierre Barbillon, Yves Auffray","submitted_at":"2010-04-06T07:03:34Z","abstract_excerpt":"In the paradigm of computer experiments, the choice of an experimental design is an important issue. When no information is available about the black-box function to be approximated, an exploratory design have to be used. In this context, two dispersion criteria are usually considered: the minimax and the maximin ones. In the case of a hypercube domain, a standard strategy consists of taking the maximin design within the class of Latin hypercube designs. However, in a non hypercube context, it does not make sense to use the Latin hypercube strategy. Moreover, whatever the design is, the black-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0784","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":"1004.0784","created_at":"2026-05-18T04:21:22.852642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.0784v3","created_at":"2026-05-18T04:21:22.852642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0784","created_at":"2026-05-18T04:21:22.852642+00:00"},{"alias_kind":"pith_short_12","alias_value":"74HB6E3BFJHJ","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"74HB6E3BFJHJNKRX","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"74HB6E3B","created_at":"2026-05-18T12:26:04.259169+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/74HB6E3BFJHJNKRX4CG4RGLQGC","json":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC.json","graph_json":"https://pith.science/api/pith-number/74HB6E3BFJHJNKRX4CG4RGLQGC/graph.json","events_json":"https://pith.science/api/pith-number/74HB6E3BFJHJNKRX4CG4RGLQGC/events.json","paper":"https://pith.science/paper/74HB6E3B"},"agent_actions":{"view_html":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC","download_json":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC.json","view_paper":"https://pith.science/paper/74HB6E3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.0784&json=true","fetch_graph":"https://pith.science/api/pith-number/74HB6E3BFJHJNKRX4CG4RGLQGC/graph.json","fetch_events":"https://pith.science/api/pith-number/74HB6E3BFJHJNKRX4CG4RGLQGC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/action/storage_attestation","attest_author":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/action/author_attestation","sign_citation":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/action/citation_signature","submit_replication":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/action/replication_record"}},"created_at":"2026-05-18T04:21:22.852642+00:00","updated_at":"2026-05-18T04:21:22.852642+00:00"}