{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2PBLJGUCCEH7WCXNDK7U5V3KIO","short_pith_number":"pith:2PBLJGUC","schema_version":"1.0","canonical_sha256":"d3c2b49a82110ffb0aed1abf4ed76a43871683b14e26d43180b75e3a9e7d9b17","source":{"kind":"arxiv","id":"1409.0743","version":4},"attestation_state":"computed","paper":{"title":"Does non-stationary spatial data always require non-stationary random fields?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Daniel Simpson, Finn Lindgren, Geir-Arne Fuglstad, H{\\aa}vard Rue","submitted_at":"2014-09-02T15:05:14Z","abstract_excerpt":"A stationary spatial model is an idealization and we expect that the true dependence structures of physical phenomena are spatially varying, but how should we handle this non-stationarity in practice? We study the challenges involved in applying a flexible non-stationary model to a dataset of annual precipitation in the conterminous US, where exploratory data analysis shows strong evidence of a non-stationary covariance structure.\n  The aim of this paper is to investigate the modelling pipeline once non-stationarity has been detected in spatial data. We show that there is a real danger of over"},"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":"1409.0743","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-02T15:05:14Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"7d28ad18aaddfed1d4652e3cf337c2c693f42c2767ff7664190b81b47cf3d62c","abstract_canon_sha256":"cc2d2752c7e28ad0e05a892e7d8966dc4cabe0a9bb9f64e0ec185f242ece60ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:16.551501Z","signature_b64":"VvYAUQPhk21bZN5louI1COoQKkpz5qhUtLLFgSyKKXckebhpr4tNotpXXrcpDvY8qnFaP92w7S9m+txLN09OBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3c2b49a82110ffb0aed1abf4ed76a43871683b14e26d43180b75e3a9e7d9b17","last_reissued_at":"2026-05-18T01:33:16.550958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:16.550958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Does non-stationary spatial data always require non-stationary random fields?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Daniel Simpson, Finn Lindgren, Geir-Arne Fuglstad, H{\\aa}vard Rue","submitted_at":"2014-09-02T15:05:14Z","abstract_excerpt":"A stationary spatial model is an idealization and we expect that the true dependence structures of physical phenomena are spatially varying, but how should we handle this non-stationarity in practice? We study the challenges involved in applying a flexible non-stationary model to a dataset of annual precipitation in the conterminous US, where exploratory data analysis shows strong evidence of a non-stationary covariance structure.\n  The aim of this paper is to investigate the modelling pipeline once non-stationarity has been detected in spatial data. We show that there is a real danger of over"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0743","kind":"arxiv","version":4},"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":"1409.0743","created_at":"2026-05-18T01:33:16.551023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0743v4","created_at":"2026-05-18T01:33:16.551023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0743","created_at":"2026-05-18T01:33:16.551023+00:00"},{"alias_kind":"pith_short_12","alias_value":"2PBLJGUCCEH7","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2PBLJGUCCEH7WCXN","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2PBLJGUC","created_at":"2026-05-18T12:28:11.866339+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/2PBLJGUCCEH7WCXNDK7U5V3KIO","json":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO.json","graph_json":"https://pith.science/api/pith-number/2PBLJGUCCEH7WCXNDK7U5V3KIO/graph.json","events_json":"https://pith.science/api/pith-number/2PBLJGUCCEH7WCXNDK7U5V3KIO/events.json","paper":"https://pith.science/paper/2PBLJGUC"},"agent_actions":{"view_html":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO","download_json":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO.json","view_paper":"https://pith.science/paper/2PBLJGUC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0743&json=true","fetch_graph":"https://pith.science/api/pith-number/2PBLJGUCCEH7WCXNDK7U5V3KIO/graph.json","fetch_events":"https://pith.science/api/pith-number/2PBLJGUCCEH7WCXNDK7U5V3KIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO/action/storage_attestation","attest_author":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO/action/author_attestation","sign_citation":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO/action/citation_signature","submit_replication":"https://pith.science/pith/2PBLJGUCCEH7WCXNDK7U5V3KIO/action/replication_record"}},"created_at":"2026-05-18T01:33:16.551023+00:00","updated_at":"2026-05-18T01:33:16.551023+00:00"}