{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:74HB6E3BFJHJNKRX4CG4RGLQGC","short_pith_number":"pith:74HB6E3B","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"},"canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","source":{"kind":"arxiv","id":"1004.0784","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0784","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0784v3","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0784","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"74HB6E3BFJHJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"74HB6E3BFJHJNKRX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"74HB6E3B","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:74HB6E3BFJHJNKRX4CG4RGLQGC","target":"record","payload":{"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"},"canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","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"},"source_kind":"arxiv","source_id":"1004.0784","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:21:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/UDTiq1kfG92G7nsnthFdrUS0AuuTGRD5M8q/I6uMJIJ6cqszyUIP1tygzvMNp0X0gOb3+9hXp8lKoW5CLcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:36:35.140124Z"},"content_sha256":"c8b49f39ab86508f0cbe7b171bc97f156ed77d821cd2c42fd7bc4cd541beae03","schema_version":"1.0","event_id":"sha256:c8b49f39ab86508f0cbe7b171bc97f156ed77d821cd2c42fd7bc4cd541beae03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:74HB6E3BFJHJNKRX4CG4RGLQGC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:21:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OWr1jeuizDw4cmd3VTKQiqjyiSrF1roz3/r+QFrmqIbQpTEV66pH0ZM6HDBcUinVEjZjv5hwbtCwED46OzyUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:36:35.140564Z"},"content_sha256":"5be4bf7a136d044ea025204e463cb372cb3915d649030c7c57e722eae7a92036","schema_version":"1.0","event_id":"sha256:5be4bf7a136d044ea025204e463cb372cb3915d649030c7c57e722eae7a92036"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/bundle.json","state_url":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/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":"2026-06-24T20:36:35Z","links":{"resolver":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC","bundle":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/bundle.json","state":"https://pith.science/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/74HB6E3BFJHJNKRX4CG4RGLQGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:74HB6E3BFJHJNKRX4CG4RGLQGC","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":"feff0e4455ab958cb39aac7c26106ae8c18600dc6fabdc82938aa54d141c9631","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-04-06T07:03:34Z","title_canon_sha256":"038549a50260ba686a4721dde441a7ccb0fa386ab3a6412e192825abb2700b95"},"schema_version":"1.0","source":{"id":"1004.0784","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0784","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0784v3","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0784","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"74HB6E3BFJHJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"74HB6E3BFJHJNKRX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"74HB6E3B","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:5be4bf7a136d044ea025204e463cb372cb3915d649030c7c57e722eae7a92036","target":"graph","created_at":"2026-05-18T04:21:22Z","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":"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-","authors_text":"Jean-Michel Marin, Pierre Barbillon, Yves Auffray","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-04-06T07:03:34Z","title":"Maximin design on non hypercube domain and kernel interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0784","kind":"arxiv","version":3},"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:c8b49f39ab86508f0cbe7b171bc97f156ed77d821cd2c42fd7bc4cd541beae03","target":"record","created_at":"2026-05-18T04:21:22Z","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":"feff0e4455ab958cb39aac7c26106ae8c18600dc6fabdc82938aa54d141c9631","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-04-06T07:03:34Z","title_canon_sha256":"038549a50260ba686a4721dde441a7ccb0fa386ab3a6412e192825abb2700b95"},"schema_version":"1.0","source":{"id":"1004.0784","kind":"arxiv","version":3}},"canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff0e1f13612a4e96aa37e08dc899703085057047d28b1bd610d732d538734b4e","first_computed_at":"2026-05-18T04:21:22.852576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:22.852576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UgjKJ1VU/bD0wmsUPDEA0d5flucYeVfmljetSSieFMpIV0RNrxhVKcSb6L4ogWXFyuFJOClXt8hnEL/9qexaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:22.852993Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0784","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8b49f39ab86508f0cbe7b171bc97f156ed77d821cd2c42fd7bc4cd541beae03","sha256:5be4bf7a136d044ea025204e463cb372cb3915d649030c7c57e722eae7a92036"],"state_sha256":"0684eb13f54159e07cedd4029163897a3067ac13b989dd870e2e62ce845b904e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MOkiPwyZ2sgJj/49aM15pT58MD9ALqxbv14vMbiVb+NlmcgbxEVaEj8hWY9oe8dIc98b5J5bhud8cB4HWLyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:36:35.142814Z","bundle_sha256":"1fcd6684d26af58c1835aee171f2d9b609cfe58032dee75f9880f6fef84ae5d3"}}