{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WYDA3S7URQCBOIEYFO4I5OGWTY","short_pith_number":"pith:WYDA3S7U","schema_version":"1.0","canonical_sha256":"b6060dcbf48c041720982bb88eb8d69e3b7f339aeab150e938db493d08c6ac5c","source":{"kind":"arxiv","id":"1709.09599","version":5},"attestation_state":"computed","paper":{"title":"The Nu Class of Low-Degree-Truncated, Rational, Generalized Functions. Ic. IMSPE-optimal designs with circular-disk prediction domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Nikoloz Chkonia, Selden Crary","submitted_at":"2017-09-27T16:06:12Z","abstract_excerpt":"This paper is an extension of Part I of a series about Nu-class multifunctions. A method is presented for computing the integrated mean-squared prediction error (IMSPE) in the design of computer experiments, when the prediction domain is a circular disk. The method is extensible to more than two factors, to prediction domains other than squares or disks, and to a variety of assumed covariance functions. Three example optimal designs, under Gaussian covariance with known hyperparameters, are found using the method: an n=1 design centered on the disk; an n=2 continuously rotatable design with as"},"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":"1709.09599","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-27T16:06:12Z","cross_cats_sorted":[],"title_canon_sha256":"db137b441709375036a7ef684c825fdd2e0fd5f7882b381304820c1d713111b3","abstract_canon_sha256":"2a146411e3f78d815d0fb88db10fc52a593d08699df4890c2d2f5d8a0c302416"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:53.422282Z","signature_b64":"I4/44NpdDCIUSjk8FBeQ95e59l/Ayds7x/Yl7LVQgFljG++tM1xhH9GlJqm5ieAvVaaCHbRcDnoB5hmqryCfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6060dcbf48c041720982bb88eb8d69e3b7f339aeab150e938db493d08c6ac5c","last_reissued_at":"2026-05-17T23:45:53.421913Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:53.421913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Nu Class of Low-Degree-Truncated, Rational, Generalized Functions. Ic. IMSPE-optimal designs with circular-disk prediction domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Nikoloz Chkonia, Selden Crary","submitted_at":"2017-09-27T16:06:12Z","abstract_excerpt":"This paper is an extension of Part I of a series about Nu-class multifunctions. A method is presented for computing the integrated mean-squared prediction error (IMSPE) in the design of computer experiments, when the prediction domain is a circular disk. The method is extensible to more than two factors, to prediction domains other than squares or disks, and to a variety of assumed covariance functions. Three example optimal designs, under Gaussian covariance with known hyperparameters, are found using the method: an n=1 design centered on the disk; an n=2 continuously rotatable design with as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09599","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":"1709.09599","created_at":"2026-05-17T23:45:53.421972+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.09599v5","created_at":"2026-05-17T23:45:53.421972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09599","created_at":"2026-05-17T23:45:53.421972+00:00"},{"alias_kind":"pith_short_12","alias_value":"WYDA3S7URQCB","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WYDA3S7URQCBOIEY","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WYDA3S7U","created_at":"2026-05-18T12:31:53.515858+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/WYDA3S7URQCBOIEYFO4I5OGWTY","json":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY.json","graph_json":"https://pith.science/api/pith-number/WYDA3S7URQCBOIEYFO4I5OGWTY/graph.json","events_json":"https://pith.science/api/pith-number/WYDA3S7URQCBOIEYFO4I5OGWTY/events.json","paper":"https://pith.science/paper/WYDA3S7U"},"agent_actions":{"view_html":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY","download_json":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY.json","view_paper":"https://pith.science/paper/WYDA3S7U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.09599&json=true","fetch_graph":"https://pith.science/api/pith-number/WYDA3S7URQCBOIEYFO4I5OGWTY/graph.json","fetch_events":"https://pith.science/api/pith-number/WYDA3S7URQCBOIEYFO4I5OGWTY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY/action/storage_attestation","attest_author":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY/action/author_attestation","sign_citation":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY/action/citation_signature","submit_replication":"https://pith.science/pith/WYDA3S7URQCBOIEYFO4I5OGWTY/action/replication_record"}},"created_at":"2026-05-17T23:45:53.421972+00:00","updated_at":"2026-05-17T23:45:53.421972+00:00"}