{"as_of":"2026-08-20T16:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d722a2b7cae10ea009573e430c345c7e36f7357ad90c59f15d88357572ed3d3","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:00:48.595886Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.09267/citation-record","integrity":"/paper/2506.09267/integrity","json":"/paper/2506.09267/citation-record.json","paper":"/paper/2506.09267"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.536914Z","title":"On the consistent separation of scale and variance for gaussian random fields.The Annals of Statistics, 38(2):870–893, 2010","venue":null,"work_id":"97b2fb25-58f4-4db2-a743-9bd800a27820","year":2010},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.102482Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:eff69701157e65dccc446b20e5294c84254b777ff0128544f2919fac2a4f43ca","observation_id":"074269f3-843e-4676-a1d6-0eba2fec7b92","resolution":{"observed_at":"2026-08-07T05:00:54.567929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.467185Z","title":"Cross-covariance functions for multivari- ate random fields based on latent dimensions.Biometrika, 97(1):15–30, 2010","venue":null,"work_id":"821ebdf1-e8d2-455a-9a07-8b74613dc043","year":2010},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.142397Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:b31d884dadd285678ef6121de155f0b5e144a4171a0fe7d535add4c4100ca49d","observation_id":"79e62a7b-d73a-4080-90a8-fc1f4722ed00","resolution":{"observed_at":"2026-08-07T05:00:54.496823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.403559Z","title":"Asymptotically equivalent prediction in multivariate geostatistics.Bernoulli, 28(4): 2518–2545, 2022","venue":null,"work_id":"8756bc9a-57fb-488d-99e0-b323f1efcaf7","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.197217Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:a9f97f13f22ba6f224ec5da3ec7e1ea91ba54bc493d10820c41f60fe083f9d47","observation_id":"38a6795f-e353-436e-9250-279dce569d54","resolution":{"observed_at":"2026-08-07T05:00:54.434725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/jlms/s2-5.3.493","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of the London Mathematical Society","work_id":"adde5af5-99e7-449d-8626-21bab5b7dc72","year":1972},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.252298Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:a42fe6d1abf8c07f956fb9974eeddfca4a3818e5e35a24168ad6de96bc4372a7","observation_id":"0f116134-00a9-45d0-be40-b32aaf72aedf","resolution":{"observed_at":"2026-08-07T05:00:50.199929Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.348656Z","title":"Spatial self-confounding: Smoothness-related estimation bias in spatial regression models.Biometrika, page (In press), 2025","venue":null,"work_id":"1c25d24d-52b7-4662-be46-13d23ac6b2b7","year":2025},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.295815Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:d6b7149ff233e897b1b78ccb376fae5f1c2f2acacf4ca5eb053902e64fd0e00b","observation_id":"84456da7-0c9e-43cc-81da-c36273ac9d26","resolution":{"observed_at":"2026-08-07T05:00:54.362451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.296573Z","title":"Spatial correlation in ecological analysis.International Journal of Epidemiology, 22(6):1193–1202, 1993","venue":null,"work_id":"f92d63b1-fbeb-41be-8377-1bf2573df64c","year":1993},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.356276Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:e02a3a04c20bed2a29b9c8ef0409288d44a21f75af5ae9a8b0a93a0f284e47d7","observation_id":"feb78d83-e719-4d67-ae51-ddcffe9a99b7","resolution":{"observed_at":"2026-08-07T05:00:54.324421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.278453Z","title":"Cambridge University Press, 2014","venue":null,"work_id":"c1b9bb5c-d71d-4947-9a10-a44fe635fa2d","year":2014},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.426105Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:7617c0c4ef59db7dffafda559bfc8a110df14ac5e9c0b34ce4d7ad1474225bc5","observation_id":"faea3fc6-0b07-419d-b9aa-9d9ee66b7371","resolution":{"observed_at":"2026-08-07T05:00:54.285420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.261689Z","title":"Accounting for unobservable heterogeneity in cross section using spatial first differences","venue":null,"work_id":"697afe21-f065-4f22-860b-99b56c5fab33","year":2018},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.493910Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:5271e7eb5a8a8fa8244c7748d1394b77b95cff1c0b7f9270b1c2f1f47956ad43","observation_id":"f5e2e71a-5711-4b31-a581-a90b485f7fed","resolution":{"observed_at":"2026-08-07T05:00:54.267775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:43.563271Z","title":"Wood, and Nicole H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.563271Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:3840ce40280ea9eed5c1a415e4f6a1cf960b0671101c15232636577935e62b5f","observation_id":"92e422ea-c9eb-4d06-b35c-486883f69e17","resolution":{"observed_at":"2026-08-07T05:00:43.563271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.242905Z","title":"L´ evy flights: exact results and asymptotics beyond all orders.Journal of Mathematical Physics, 43(5):2670–2689, 2002","venue":null,"work_id":"10815d8c-d6ce-470e-93dc-9e61a616044a","year":2002},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.632545Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:b5a4c129de6eec669a9d122011b0187c4bde10b7d0f7a09d45ee9a057e3563ca","observation_id":"6b293ca5-37d1-43d2-956a-d9d628681bce","resolution":{"observed_at":"2026-08-07T05:00:54.249784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.223882Z","title":"d-dimensional L´ evy flights: Exact and asymptotic.Journal of Mathematical Physics, 43(10):5090–5107, 2002","venue":null,"work_id":"1aa82006-0510-489b-9d00-c3fd40fc94b4","year":2002},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.694164Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:7c45a47389ea98676331989584490c6bdb7b025281005c62588fa9474a85bf27","observation_id":"2edd1a95-4c82-4355-b3bf-33f0443c7e7a","resolution":{"observed_at":"2026-08-07T05:00:54.233480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.201998Z","title":"Proper multivariate conditional autoregressive models for spatial data analysis.Biostatistics, 4(1):11–15, 2003","venue":null,"work_id":"adcb042a-91ce-40ec-aced-d2e1e1fd6626","year":2003},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.758059Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:7c18142bacfcd9a1f638d4059cc5b3d9c452f6ccf52e13e20b1144027043aa95","observation_id":"39b0e8fc-e322-4119-9320-0c6a0f99e565","resolution":{"observed_at":"2026-08-07T05:00:54.214068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14946","last_updated":"2024-10-11T03:48:42Z","snapshot_observed_at":"2026-08-20T02:23:41.292262Z","submitted_at":"2021-12-30T06:57:10Z","title":"A causal inference framework for spatial confounding","version":12},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14946","snapshot_observed_at":"2026-08-07T05:00:43.824553Z","title":"A causal infer- ence framework for spatial confounding.arXiv preprint arXiv:2112.14946, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.824553Z"},"links":{"cited_paper":"/paper/2112.14946","citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:b52d44887b7f2bc982a97b54c58c84591047f599ede1293404f3cd2b72086cdb","observation_id":"15bfeb4c-bb6c-46df-af9d-d13d0d6b0fe3","resolution":{"observed_at":"2026-08-07T05:00:43.824553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.181316Z","title":"Consistency of common spatial estimators under spatial confounding.Biometrika, 112(2), December 2025","venue":null,"work_id":"a6698271-bae9-442f-a00c-3d21c5fae6ac","year":2025},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.889423Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:1643e7b0ab56719013cf4ecaa6005a5f722fe37b8dec63cc8af321c981f422b1","observation_id":"5093672b-9ace-4022-86cb-9bc34f22aeff","resolution":{"observed_at":"2026-08-07T05:00:54.188666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.165333Z","title":"Stochastic models that separate fractal di- mension and the Hurst effect.SIAM Review, 46(2):269–282, 2004","venue":null,"work_id":"637fc334-44a5-4bd3-9947-bfb0bb222374","year":2004},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.044767Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:b8a3cbe145c016f63db51c33c68f84e7d0afb4a752233209d7d9441f66dde84b","observation_id":"8d6a45e2-4367-4591-ae1d-2e301de56e24","resolution":{"observed_at":"2026-08-07T05:00:54.173160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.152693Z","title":"Mat´ ern cross-covariance functions for multivariate random fields.Journal of the American Statistical Association, 105(491):1167–1177, 2010","venue":null,"work_id":"07a8b240-72bb-4fbe-90b4-00a08f8ca628","year":2010},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.110097Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:15988e8928d32ac4a792cf97b3381c8ed0a20b2e592a24298886a069fe603114","observation_id":"6930a1d1-3159-41de-bd09-92012b1f3e36","resolution":{"observed_at":"2026-08-07T05:00:54.157317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.141723Z","title":"Spectral adjustment for spatial confounding.Biometrika, 110(3):699–719, 12 2022","venue":null,"work_id":"b5649828-85c3-4619-99a4-8a0f63f6e75c","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.175800Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:97cfa59edebfc022c1c769e7dad4e79d4699c4ff4fa5acabc3654af4df99558c","observation_id":"d0716d62-e5bf-43fb-b1ed-9fe2bd7c8c48","resolution":{"observed_at":"2026-08-07T05:00:54.146179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:44.301850Z","title":"Hanks, Erin M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.301850Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:3e5ef42e948a16174d5c7ce880510c93d343dd4bcb86322e23b48d1823af866c","observation_id":"3faadd0b-210a-45ce-90c8-fef0e7c11a4a","resolution":{"observed_at":"2026-08-07T05:00:44.301850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/biomet/asac069","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Biometrika","work_id":"41b84aa2-67c1-45fc-b6f4-73b8b4e74492","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.240912Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:9f29599f547009cffa078b8cfa8ab1460a8a46fe220c2d0e307eddf3c960629f","observation_id":"6d12d888-419a-4e87-94c9-27aeed095d0e","resolution":{"observed_at":"2026-08-07T05:00:49.671862Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.129486Z","title":"Springer Science & Business Media, 2012","venue":null,"work_id":"68c86805-c048-4992-8a43-e9f736aa2925","year":2012},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.428970Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:46c1a2ab965373f42be7458fda97a9aa121c0070539ae09bf70ca90d9081f930","observation_id":"ac38aade-13b6-4e47-913e-1e990ae4e66c","resolution":{"observed_at":"2026-08-07T05:00:54.134091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.10052","last_updated":"2020-11-13T10:06:06Z","snapshot_observed_at":"2026-08-16T19:12:12.628359Z","submitted_at":"2020-10-20T06:08:42Z","title":"Video Reconstruction by Spatio-Temporal Fusion of Blurred-Coded Image Pair","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.10052","snapshot_observed_at":"2026-08-07T05:00:44.368682Z","title":"Hodges and Brian J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.368682Z"},"links":{"cited_paper":"/paper/2010.10052","citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:84993b77d99bf3597973e68bd643224bd704e79437d1c30c413c862a8c576d07","observation_id":"f2353e31-35fa-4228-9740-08bd9b9b909d","resolution":{"observed_at":"2026-08-07T05:00:44.368682Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.02582","last_updated":"2018-07-06T22:44:10Z","snapshot_observed_at":"2026-08-14T18:54:47.764747Z","submitted_at":"2018-07-06T22:44:10Z","title":"Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.02582","snapshot_observed_at":"2026-08-07T05:00:44.581455Z","title":"Gaussian processes and kernel methods: A review on connections and equivalences","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.581455Z"},"links":{"cited_paper":"/paper/1807.02582","citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:67f1ce0c55c9bea1de895789b07a48d9f4a8f9ab40219144d55b9c03877d4589","observation_id":"1ad4fa38-d6e8-4ae2-ac2c-d36f70716fbc","resolution":{"observed_at":"2026-08-07T05:00:44.581455Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.116973Z","title":"Exponential bases, Paley–Wiener spaces and applica- tions.Journal of Functional Analysis, 268(2):363–375, 2015","venue":null,"work_id":"a1324150-3e52-4c8a-8e7d-6917a07cb41f","year":2015},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.489715Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:bc97694b4cd5e3142260ead9ee61b942e85af3f91a96696d28fec8b6d0fdfee7","observation_id":"61604c84-3fc9-4574-9370-897267e04f49","resolution":{"observed_at":"2026-08-07T05:00:54.122286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.092342Z","title":"Restricted spatial regression methods: Implications for inference.Journal of the American Statistical Association, 117(537):482–494, 2022","venue":null,"work_id":"f9ecae60-f59d-4bda-84df-17206af1bdf8","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.737024Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:aa98a8de349a071aa28f25aa77cce86224a158393ed6ef0deb9985bb1c593cc5","observation_id":"ec61b56e-f306-46da-9fab-30974911e9b3","resolution":{"observed_at":"2026-08-07T05:00:54.096176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.105600Z","title":"Re-thinking spatial confounding in spatial linear mixed models.Statistical Science, 2025","venue":null,"work_id":"88ec420d-da69-493b-b489-743772b3c582","year":2025},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.651561Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:16e4cbd4911a76bc5b5a29cfc3b1886921fbf81701c51b97489c992ce7634e65","observation_id":"e6611ce1-b219-4942-830f-69c4c30130be","resolution":{"observed_at":"2026-08-07T05:00:54.109745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.067186Z","title":"Inference for gaussian processes with mat´ ern covariogram on compact riemannian manifolds.Journal of Machine Learning Research, 24(101):1–26, 2023","venue":null,"work_id":"882917f7-70f7-4a20-8fb4-0b17bd90933d","year":2023},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.875792Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:a5f0e709d0256ce7ecf53c212541c88a0800a3801fdd6b9a98c855ddfd216042","observation_id":"4392cd58-56c8-4316-9b45-58b9b5dea61a","resolution":{"observed_at":"2026-08-07T05:00:54.071656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.079160Z","title":"Nonstationary modeling for multivariate spatial processes.Journal of Multivariate Analysis, 112:76–91, 2012","venue":null,"work_id":"eb5ec672-b018-4153-8761-93f968283b5f","year":2012},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.807041Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:a6dff7f82ce787e5e460c82a7aac8e95fd23dda278538ea1b4ca6676cdfae387","observation_id":"6f532292-f4c6-4d80-9dc0-2207dd2a333d","resolution":{"observed_at":"2026-08-07T05:00:54.084590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.045721Z","title":"On the effects of spatial confounding in hierarchical models.International Statistical Review, 89(2): 302–322, 2021","venue":null,"work_id":"310775c1-d56a-4aa7-b0fd-1d7a28649885","year":2021},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.021681Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:abdab60b6efeaa4e87dc1d95db65795c02a3d34ba099886a7b313e27d144e7d3","observation_id":"35dbddf1-97cd-4772-8eed-33ee5aaa1cba","resolution":{"observed_at":"2026-08-07T05:00:54.049246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.056044Z","title":"Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure.Stochastic Processes and Their Applications, 119(4):1325–1356, 2009","venue":null,"work_id":"5226f326-1cea-4ca1-969f-8eab3fa48bce","year":2009},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:44.954567Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:036e312909b37be3cafa6ba3a4f807f1bed51ddab952c31cd73a8601ac72c460","observation_id":"a6e16603-8aa8-4c07-8c23-90ffaaa1d798","resolution":{"observed_at":"2026-08-07T05:00:54.059986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/10-sts326","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Paciorek","venue":"Statistical Science","work_id":"8f461b72-a2a2-4226-a8bb-ff5fdb7ec597","year":2010},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.149373Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:e9c12627f1b5690c40c51cdc5ec9b392da22783a4abf386969d08471a49c893f","observation_id":"0275d077-7d31-43ac-ba61-c6d9b2a33fd2","resolution":{"observed_at":"2026-08-07T05:00:49.401292Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.033615Z","title":"Univariate stable distributions.Springer Series in Operations Research and Financial Engineering, 10:978–3, 2020","venue":null,"work_id":"cc5be7c8-8b13-41ea-afe0-37822da8e536","year":2020},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.084155Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:54b3e503a2f5a93aaeef367d8f38d19bf83b9ee66b65e97ae1f019520f4ec566","observation_id":"1fac58e3-abee-474f-97fc-d25932ecb4f3","resolution":{"observed_at":"2026-08-07T05:00:54.037173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1111/sjos.12275","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Page, Yajun Liu, Zhuoqiong He, and Donchu Sun","venue":"Scandinavian Journal of Statistics","work_id":"9701a4c2-9242-483a-ac3a-c5bc26b742ad","year":2017},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.430866Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:c826701617fdcb4ef6f30601e92d1ded5d11aacde0bccfeeca7f69e223c1875d","observation_id":"2e1afab6-cbc7-4741-9894-9e68c1ae5c1d","resolution":{"observed_at":"2026-08-07T05:00:49.142169Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.023297Z","title":"Spatial modelling using a new class of nonstationary covariance functions.Environmetrics, 17(5):483–506, 2006","venue":null,"work_id":"872c649e-6aab-4aac-a38f-bd86f13c374a","year":2006},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.292408Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:ab25902adf68ad61442cbad4c2d24670942e08982b2bbc7762e7d90bbd8a0896","observation_id":"3988ddb4-a711-46d5-b9d9-977811dc9fa0","resolution":{"observed_at":"2026-08-07T05:00:54.026782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.001950Z","title":"Effects of residual smoothing on the posterior of the fixed effects in disease-mapping models.Biometrics, 62(4):1197–1206, 2006","venue":null,"work_id":"903f9d38-34e9-4195-bca3-b2d19926ac0b","year":2006},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.662315Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:83cc6c77beb7802215067d3718a5e6afb981d13703c8a52fa404c87636f0469f","observation_id":"52c9fc30-4737-45c6-a5de-972292914b0f","resolution":{"observed_at":"2026-08-07T05:00:54.005518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:54.012291Z","title":"Adjusting for unmea- sured spatial confounding with distance adjusted propensity score matching.Biostatis- tics, 20(2):256–272, January 2018","venue":null,"work_id":"91603533-6277-4ea6-a07c-4446db0d222b","year":2018},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.522719Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:4bcfa3b312bd26ba51724e027f3bd9f557b5d5439907373d1f7f21e016e23f37","observation_id":"37fa82ce-de4c-4ff3-8a62-0a7b843b8f44","resolution":{"observed_at":"2026-08-07T05:00:54.015714Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.975275Z","title":"Nonparametric estimation of nonstationary spatial covariance structure.Journal of the American Statistical Association, 87(417):108–119, 1992","venue":null,"work_id":"55a54eaa-85ed-4769-9702-9f431637feed","year":1992},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.950698Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:dd97828260f7be9d9604e58274d911207aa2ae79544e1a8a0d3851563fb3019e","observation_id":"41d98373-d3e8-4562-92eb-199a768699ab","resolution":{"observed_at":"2026-08-07T05:00:53.984512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.991456Z","title":"Equivalence of Gaussian measures of multivariate ran- dom fields.Stochastic Environmental Research and Risk Assessment, 29:325–334, 2015","venue":null,"work_id":"7f3e0a79-5e3e-4658-a7ae-49586d3e91b5","year":2015},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:45.806963Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:43d6d87b8347a6fb87bcef04ea565961118a61d6c35efbd53f8ea080f9aff7b5","observation_id":"4e4b79f7-e6fb-4e04-b3e4-0600c118a26f","resolution":{"observed_at":"2026-08-07T05:00:53.994953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.743389Z","title":"Springer Science & Business Media, 1999","venue":null,"work_id":"fdead1d8-414c-49b2-a06a-1655b3d971d8","year":1999},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.146181Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:7df13e8f47d4092493b6a2ece1f6bec1807ff2594aafee1b43cf11c694384ac8","observation_id":"1e304164-e406-4023-85da-834446dfbdef","resolution":{"observed_at":"2026-08-07T05:00:53.821023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.938864Z","title":"On absolute con- tinuity of measures corresponding to homogeneous Gaussian fields.Theory of Probability & Its Applications, 18(1):27–40, 1973","venue":null,"work_id":"204fc4e5-2d92-4c3f-ab7a-4ece5f9fd3f7","year":1973},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.047352Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:b2259e53411f9d5e3a8baf8cea40980c675b25b586ff09a2e3e4f2a3d8e9f1ca","observation_id":"1290d4b4-20f3-4fe2-ad80-36f81c800b18","resolution":{"observed_at":"2026-08-07T05:00:53.968186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1305.2017","last_updated":"2013-05-09T06:57:50Z","snapshot_observed_at":"2026-08-20T07:01:35.711152Z","submitted_at":"2013-05-09T06:57:50Z","title":"Four transformations on the Catalan triangle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.2017","snapshot_observed_at":"2026-08-07T05:00:46.407165Z","title":"Structural equation models for dealing with spatial confounding.The American Statistician, 72(3):239–252, March 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.407165Z"},"links":{"cited_paper":"/paper/1305.2017","citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:406d14918748ca2c4ce4af315bb846cbc5457f321c50ea4a8ab084b5528bbf2d","observation_id":"1d6449d4-bca3-404f-be74-c929c39b1a0d","resolution":{"observed_at":"2026-08-07T05:00:46.407165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.550147Z","title":null,"venue":null,"work_id":"0cc579ed-5af7-44b8-a584-8938fe432c65","year":2021},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.277938Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:d6fd4b9af8582cc237272ce111d81903435d7791a1b5e6a8d93601f0d0e1d667","observation_id":"ca1220df-5dd8-4c68-8516-05df445bb25e","resolution":{"observed_at":"2026-08-07T05:00:53.667340Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/biostatistics/kxl008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Wakefield","venue":"Biostatistics","work_id":"51076c9e-ef68-49df-a0b3-dbfd595eb9a0","year":2006},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.647983Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:c64ca74d6385fdc3301aa27393c9111bb93e2325d00c8ae188fbf3152849fcc7","observation_id":"98eae769-34eb-419a-a3bc-840b4f86c46e","resolution":{"observed_at":"2026-08-07T05:00:48.909694Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.352737Z","title":"Springer Science & Business Media, 2003","venue":null,"work_id":"38a30506-c8c5-47d1-9757-5ea0744b3f31","year":2003},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.501811Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:4341d3c2b532b9616429309c3ac16d7c7bc8d039a7d4966fd0f604405d3ebd42","observation_id":"79774a6b-3e65-4590-8561-6c3ad53ea797","resolution":{"observed_at":"2026-08-07T05:00:53.439976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:46.977611Z","title":"An instrumental variables framework to unite spatial confounding methods.arXiv preprint arXiv:2411.10381, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.977611Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:6ec20acae41d7135c8ecdf9f2739ff2c2669cbb338a2bbd431d8d388413571ec","observation_id":"4f6f8f3b-1a51-4d71-9a5b-7719a41a0dfd","resolution":{"observed_at":"2026-08-07T05:00:46.977611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:53.159899Z","title":"On prediction properties of kriging: Uniform error bounds and robustness.Journal of the American Statistical Association, 115(530): 920–930, 2020","venue":null,"work_id":"fac791f8-b610-4540-a221-2f14acb49fb1","year":2020},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:46.797536Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:18f5bbdf3659fd895d44e207a489a887e34d95715ee5c2042dd270d25e4dfbd7","observation_id":"bc003386-123a-487b-b874-7d36bff42efd","resolution":{"observed_at":"2026-08-07T05:00:53.240489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:52.922533Z","title":"PhD thesis, University of Maryland, College Park, 2022","venue":null,"work_id":"f5f6f579-e8ef-4375-9c7e-0e5b8d0b0bf1","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.174980Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:052aa1e30834fb7f01298dfb197bef7f3cfa3c316de995a8886b0c45fd1a3ee4","observation_id":"c47f4041-46d2-426e-afc7-75e25f48ed53","resolution":{"observed_at":"2026-08-07T05:00:53.045529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07232","last_updated":"2026-02-12T01:45:52Z","snapshot_observed_at":"2026-08-20T16:09:55.356754Z","submitted_at":"2025-05-12T05:14:38Z","title":"Spatial Confounding in Multivariate Areal Data Analysis","version":2},"cited_work":{"arxiv_id":"2505.07232","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":"2505.07232","snapshot_observed_at":"2026-08-18T02:11:38.352563Z","title":"Spatial confounding in multivariate areal data analysis.arXiv preprint arXiv:2505.07232, 2025","venue":null,"work_id":"b1daf1d3-37d1-47e6-9073-2e058d187140","year":2025},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.078826Z"},"links":{"cited_paper":"/paper/2505.07232","citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:bb0541ebe429618125decbf12ab66d6553fc0121093707f92e03d2550b537b70","observation_id":"025897d0-ad83-4fd3-9c7a-f9db6c706f79","resolution":{"observed_at":"2026-08-18T02:11:38.352563Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:52.434096Z","title":"On some properties of Buhmann functions.Ukrainian Mathematical Journal, 58(8), 2006","venue":null,"work_id":"df20ab5a-8974-40d7-af4b-d4b028767474","year":2006},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.372218Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:0cdeb79f16cebef655ff1aec32dee0f5ab8d5e06890e66859e00c1688c02249a","observation_id":"49416337-e45c-490a-b6b8-de0259ff5859","resolution":{"observed_at":"2026-08-07T05:00:52.604192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:52.700457Z","title":"Deep compositional spatial models.Journal of the American Statistical Association, 117(540): 1787–1808, 2022","venue":null,"work_id":"337a1ea9-deff-404f-ad09-ec4f3c75bc69","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.273925Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:6c51a69d2f3fe743415309c4e12befc0b3a30c8188f8dba2338e071fd3b8ea32","observation_id":"38bace4d-b009-4e52-b69a-a960b432749a","resolution":{"observed_at":"2026-08-07T05:00:52.800153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:52.094257Z","title":"Parameter estimation for fractional brownian surfaces.Statistica Sinica, pages 863–883, 2002","venue":null,"work_id":"9a7f385b-977c-46ad-aefa-607df0dacaa3","year":2002},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.577338Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:bc467bb44b37515cb5b4af945b26b4f8de919fdc0597b85ce087d4e844afedce","observation_id":"9a1499ce-151d-47ae-99e6-63ade6a1d202","resolution":{"observed_at":"2026-08-07T05:00:52.151962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:52.205407Z","title":"Inconsistent estimation and asymptotically equal interpolations in model- based geostatistics.Journal of the American Statistical Association, 99(465):250–261, 2004","venue":null,"work_id":"72863e72-1f04-43f2-9534-7fbad252540d","year":2004},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.467469Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:8445df92459c3fe54b1a4a7898c820d546da75563903eacbe83ce9d1d55443e4","observation_id":"f6723dd3-4466-4245-bd41-43131bcae8e9","resolution":{"observed_at":"2026-08-07T05:00:52.300684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.655858Z","title":"American Mathematical Society, 1986","venue":null,"work_id":"bc950245-3a71-424a-b096-e4e259368cc9","year":1986},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.808708Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:9eef373bdaacd6d8aecb5a9cbdaa3a54280df31a31e1dcddc8c9a51a7d9c3330","observation_id":"ef7f10b3-3103-418a-a8e5-35af6dff29d9","resolution":{"observed_at":"2026-08-07T05:00:51.777546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.904844Z","title":"On deconfounding spatial confounding in linear models.The American Statistician, 76(2):159–167, 2022","venue":null,"work_id":"2e13f8af-9921-4c60-bad4-02df750347a8","year":2022},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.673849Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:3e6dcf9cfaf2d6905559de32a48c4527cb1b78663c86dd36f8049f2a18ada02c","observation_id":"8ac09070-fda6-4c86-bac4-571a8a715b42","resolution":{"observed_at":"2026-08-07T05:00:51.995353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.501194Z","title":"1 nhα11−2 n−1X j=0 {∇(1) h Z1(hj)}2 # =    O(n−1) if 2α 11 <3 O(n−1 logn) if 2α 11 = 3 O(n2α11−4) if 3<2α 11 <4, (S9) 40 and Var","venue":null,"work_id":"db333bf9-1947-47f2-a8d8-2dbf424f8860","year":2000},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:47.947660Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:1357e14dd6f4bcd157e160ccbce0626db2a7d8d13b11fd55fd9c45ec1fd08fd1","observation_id":"034fc09b-efaa-48fb-979e-0548f9d801a9","resolution":{"observed_at":"2026-08-07T05:00:51.564494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.345675Z","title":"For the caseβ= 0, choose aβ 0 ̸= 0, and defineY ∗ =Xβ 0 +W, and eY=Y+ Y ∗ =Xβ 0 + 2W","venue":null,"work_id":"580f23b8-2d65-4e60-9fe0-8d55b2ff1506","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:48.040705Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:6ad7a9411e52c04c368242ce30220cb0d5d0c6d2dc497b91cdf47f90f812044f","observation_id":"c9719e46-e77c-443e-806b-e7ef8c50a883","resolution":{"observed_at":"2026-08-07T05:00:51.412790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.197273Z","title":"∂4K(∥u∥) ∂u2 g∂u2 g′ + ∆h,g∆h,g′ [K(∥u∥) +r(u)]− ∂4K(∥u∥) ∂u2 g∂u2 g′ !# . 54 LetC ∗(1)(u) = dX g,g′=1 ∂4K(∥u∥) ∂u2 g∂u2 g′ and r(1)(u) = dX g,g′=1","venue":null,"work_id":"259d4a2a-e5a2-44f1-9eaf-26aec21bb80d","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:48.172401Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:240b3c1f46e654dd3068bb51db9c7b75d24d18674098d0f67ac44aa4951b6799","observation_id":"71a7f8a0-c7e6-471e-8794-3e27b756a1f7","resolution":{"observed_at":"2026-08-07T05:00:51.261999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:51.037652Z","title":"We prove the same result below using our assumptions","venue":null,"work_id":"68b4ea67-8240-4175-9990-c1c85978e29f","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:48.270896Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:89a7d7a6f8871189dd16e08e1dd5021e98c39318c72c0c19302da63b2cc4f56d","observation_id":"f19208ad-aae4-4521-ae85-4dc42fef374c","resolution":{"observed_at":"2026-08-07T05:00:51.101489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:50.818612Z","title":"We consider the case whereα 11 andα ∗ 22 are both less than two, so that we can work with first differences","venue":null,"work_id":"3ca9a706-8dcd-4a2c-971e-b02c7a6918a6","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:48.429822Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:eeb780c1366e66b03b5a68ee8d80849d8db1750d42088e30e0dbdd2829fbddc2","observation_id":"7fc968ba-dbea-4d37-9b5c-9c156deb2c5e","resolution":{"observed_at":"2026-08-07T05:00:50.911962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:00:50.677887Z","title":"So, eα13 ≥min{α ∗ 12, α13}> α 11","venue":null,"work_id":"b1e0e583-2594-4034-817a-332b8a812141","year":2000},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:48.595886Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:e5de5e6025c4c942eec04eeed4fa23e74ac2447f2748b8932c2497b24a8c8800","observation_id":"0727f471-6cbd-430b-bc56-04a0e71c8968","resolution":{"observed_at":"2026-08-07T05:00:50.724664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/biomet/asae070","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Biometrika","work_id":"dc7cc815-70af-42cc-a6b0-1cafbb6d27cc","year":null},"citing_paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding","version":3},"reference_index":3510,"source":"pdf_text","source_observed_at":"2026-08-07T05:00:43.979647Z"},"links":{"citing_paper":"/paper/2506.09267"},"observation_digest":"sha256:7c55ec08d4ae3213af2b8866ecb68b4cd79ad35633f970ca525c8203d94616a0","observation_id":"3cd71082-6f7e-4ac0-a836-b9350a89dc5c","resolution":{"observed_at":"2026-08-07T05:00:49.984180Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.09267","last_updated":"2026-05-30T01:31:02Z","latest_version":3,"primary_category":"math.ST","snapshot_observed_at":"2026-08-13T05:47:25.414219Z","submitted_at":"2025-06-10T22:04:30Z","title":"Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":7,"verified_fuzzy":44},"total_outbound_references":60},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2506.09267."}