{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WT76MSTR76XUWZTIWVXGI2WX3R","short_pith_number":"pith:WT76MSTR","schema_version":"1.0","canonical_sha256":"b4ffe64a71ffaf4b6668b56e646ad7dc4e1af6d76530d89407db425973ef153d","source":{"kind":"arxiv","id":"1406.0920","version":3},"attestation_state":"computed","paper":{"title":"On the construction of nested space-filling designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fasheng Sun, Min-Qian Liu, Peter Z. G. Qian","submitted_at":"2014-06-04T01:57:14Z","abstract_excerpt":"Nested space-filling designs are nested designs with attractive low-dimensional stratification. Such designs are gaining popularity in statistics, applied mathematics and engineering. Their applications include multi-fidelity computer models, stochastic optimization problems, multi-level fitting of nonparametric functions, and linking parameters. We propose methods for constructing several new classes of nested space-filling designs. These methods are based on a new group projection and other algebraic techniques. The constructed designs can accommodate a nested structure with an arbitrary num"},"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":"1406.0920","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-04T01:57:14Z","cross_cats_sorted":[],"title_canon_sha256":"7c1fb8a9f0677fdd35954790378094810e47482a8b22df4c6b4ebf6cc8236f13","abstract_canon_sha256":"c1882b9461ca7aab612aebc6b68eabdfd86798e48aa67de6be522fc533416ef2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:01.680410Z","signature_b64":"naQ7NC5WnyEqlwFEDhvQyCW4P7CgofQldnn4rr2rCDip6VLoFMKbhNH9f1IL8ZUVeMfvs2ryDq3urVKHCXjOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4ffe64a71ffaf4b6668b56e646ad7dc4e1af6d76530d89407db425973ef153d","last_reissued_at":"2026-05-18T02:44:01.679963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:01.679963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the construction of nested space-filling designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fasheng Sun, Min-Qian Liu, Peter Z. G. Qian","submitted_at":"2014-06-04T01:57:14Z","abstract_excerpt":"Nested space-filling designs are nested designs with attractive low-dimensional stratification. Such designs are gaining popularity in statistics, applied mathematics and engineering. Their applications include multi-fidelity computer models, stochastic optimization problems, multi-level fitting of nonparametric functions, and linking parameters. We propose methods for constructing several new classes of nested space-filling designs. These methods are based on a new group projection and other algebraic techniques. The constructed designs can accommodate a nested structure with an arbitrary num"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0920","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":"1406.0920","created_at":"2026-05-18T02:44:01.680025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0920v3","created_at":"2026-05-18T02:44:01.680025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0920","created_at":"2026-05-18T02:44:01.680025+00:00"},{"alias_kind":"pith_short_12","alias_value":"WT76MSTR76XU","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WT76MSTR76XUWZTI","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WT76MSTR","created_at":"2026-05-18T12:28:54.890064+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/WT76MSTR76XUWZTIWVXGI2WX3R","json":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R.json","graph_json":"https://pith.science/api/pith-number/WT76MSTR76XUWZTIWVXGI2WX3R/graph.json","events_json":"https://pith.science/api/pith-number/WT76MSTR76XUWZTIWVXGI2WX3R/events.json","paper":"https://pith.science/paper/WT76MSTR"},"agent_actions":{"view_html":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R","download_json":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R.json","view_paper":"https://pith.science/paper/WT76MSTR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0920&json=true","fetch_graph":"https://pith.science/api/pith-number/WT76MSTR76XUWZTIWVXGI2WX3R/graph.json","fetch_events":"https://pith.science/api/pith-number/WT76MSTR76XUWZTIWVXGI2WX3R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R/action/storage_attestation","attest_author":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R/action/author_attestation","sign_citation":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R/action/citation_signature","submit_replication":"https://pith.science/pith/WT76MSTR76XUWZTIWVXGI2WX3R/action/replication_record"}},"created_at":"2026-05-18T02:44:01.680025+00:00","updated_at":"2026-05-18T02:44:01.680025+00:00"}