{"as_of":"2026-08-16T05:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:41271892f373b958a77582b20e85516a668c3a1b3c73e26b2471ff51713d6692","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:01:23.129858Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/1908.02273/citation-record","integrity":"/paper/1908.02273/integrity","json":"/paper/1908.02273/citation-record.json","paper":"/paper/1908.02273"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:01:24.096844Z","title":"Armstrong and P","venue":null,"work_id":"1303d113-d6f8-4366-bdff-550e7779cc3e","year":2018},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.842954Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:37f36b6bc66b45aa3e14f7c7e8fda0daa5a5df6e7ccdaa22712c098bae49c598","observation_id":"4796de40-be25-4437-a67a-a47115aa783c","resolution":{"observed_at":"2026-08-14T15:01:24.106902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00467","last_updated":"2019-09-24T23:07:27Z","snapshot_observed_at":"2026-08-14T19:20:00.391013Z","submitted_at":"2018-05-01T17:54:32Z","title":"Homogenization, linearization and large-scale regularity for nonlinear elliptic equations","version":2},"cited_work":{"arxiv_id":"1805.00467","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.00467","snapshot_observed_at":"2026-08-14T15:01:23.276046Z","title":"Homogenization, linearization and large-scale regularity for nonlinear elliptic equations","venue":"math.AP","work_id":"f477f62b-b84e-41ac-8663-10356da2521a","year":2018},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.850263Z"},"links":{"cited_paper":"/paper/1805.00467","citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:bc7821ebd8c296c2fdc8d213fcebdcd0353e6213b19e5f51edeeb94269e3a0ca","observation_id":"51452299-8ac7-4cb3-b196-405f5119014c","resolution":{"observed_at":"2026-08-14T15:01:23.281262Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:24.073391Z","title":"Armstrong, S","venue":null,"work_id":"d8bf227b-746a-4641-87a1-1bd364381885","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.857176Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:0dbeefee6c2b181887fbf965b971ffdaca99b23c25d2290f702a3b1abaebea17","observation_id":"50883082-02d4-49c7-afa3-8ab8d97e6da0","resolution":{"observed_at":"2026-08-14T15:01:24.079835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:24.052104Z","title":"Armstrong, T","venue":null,"work_id":"74092f28-4290-4707-85ab-2d6e546f6f0c","year":2017},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.867866Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:cdf70dc9364aa7f322faa28a236c1deb128520f02dfee1950ca2307c9f6454a7","observation_id":"ada445c1-525e-4ba7-916c-ade18d1468b6","resolution":{"observed_at":"2026-08-14T15:01:24.057814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1705.05300","last_updated":"2018-08-07T13:04:27Z","snapshot_observed_at":"2026-08-14T21:00:39.103330Z","submitted_at":"2017-05-15T15:35:57Z","title":"Quantitative stochastic homogenization and large-scale regularity","version":2},"cited_work":{"arxiv_id":"1705.05300","doi":null,"metadata_source":"pith","pith_arxiv_id":"1705.05300","snapshot_observed_at":"2026-08-14T15:01:23.246002Z","title":"Quantitative stochastic homogenization and large-scale regularity","venue":"math.AP","work_id":"ddad2ff0-c5d4-487e-96c5-d8c41850ecc9","year":2017},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.881358Z"},"links":{"cited_paper":"/paper/1705.05300","citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:bc292df831601d856e732db31121688daa399c285b371b277d2a54237a3393ab","observation_id":"ece46512-650c-4c0a-a537-748aea3eca5a","resolution":{"observed_at":"2026-08-14T15:01:23.252275Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:24.034210Z","title":null,"venue":null,"work_id":"53d1a9c6-3836-472c-9440-80920009d32d","year":2014},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.898128Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:9b1e49f7d655f5a944ff5e27648d48e9fcc34bef31129667e8b40f88a20d9ee2","observation_id":"b47c85bd-6e64-4938-a45f-7638ff49eb54","resolution":{"observed_at":"2026-08-14T15:01:24.040057Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:24.014220Z","title":null,"venue":null,"work_id":"50e2f1ea-260d-4b38-9d92-a5f47da4501c","year":2016},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.907084Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:d1a2b3167333b2101f13fb1bbdd4652a0b457bb8ecfeda7b7fde66328c524ae2","observation_id":"a8c743b5-c777-49c1-aaa7-c9f169d1187c","resolution":{"observed_at":"2026-08-14T15:01:24.021092Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.994930Z","title":null,"venue":null,"work_id":"3125b7c6-a904-478f-972d-68b3b6fee38f","year":2014},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.917372Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:9d68ac5d0041b315aea24c1ddd699766acf79d33f47d2b855eea2e93b006fa27","observation_id":"c6471fd5-78ea-4e6b-aa47-b4456ca8a05a","resolution":{"observed_at":"2026-08-14T15:01:24.001382Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:22.923897Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.923897Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:5a2e3643a7ab3dae82f186a0d42f0fa1ace8190dc218421d347dd060f31a4f73","observation_id":"0b302e33-d93d-41b6-9f9b-9d27cd39793c","resolution":{"observed_at":"2026-08-14T15:01:22.923897Z","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":"2026-08-14T15:01:23.959734Z","title":"Avellaneda and F.-H","venue":null,"work_id":"40e460ee-7f19-4108-9b39-4bf1aea40037","year":1987},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.931437Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:aa596c911877e0901c8e4032434791d54b56e6371582db97d988e471c76cb689","observation_id":"d5aa6c38-57fd-4fe0-bbe0-3c40a1420da5","resolution":{"observed_at":"2026-08-14T15:01:23.965610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.939325Z","title":null,"venue":null,"work_id":"7cc264cc-1b01-4cce-ac0d-a24fee173895","year":1976},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.938459Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:eedd94a028e2f44243bda3e2d80a10345547f9f6276d32996b1fc1b42514ef91","observation_id":"cd76ced1-ad02-4d86-a048-3917d6d40547","resolution":{"observed_at":"2026-08-14T15:01:23.944561Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.922587Z","title":"Barchiesi and A","venue":null,"work_id":"3309fd69-f42a-43b5-8552-e5b761b56b62","year":2010},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.945722Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:73ae57fd8d50ce0f66d4f4ead2272b048c44e6404735f5c636bff485fec33471","observation_id":"c58ee34e-c001-4ac7-a760-31449443983c","resolution":{"observed_at":"2026-08-14T15:01:23.927904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.903937Z","title":"Bella, B","venue":null,"work_id":"bbfdfdc2-c234-4088-8b81-22d8141bb99c","year":2017},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.951176Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:51fee1b3d06b402e8dd79aad8eb45934a134c4c6ba54414a39dac2ecba952a78","observation_id":"16d72cb6-4206-488c-bef4-366d741429d8","resolution":{"observed_at":"2026-08-14T15:01:23.909421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.883725Z","title":"Briane and G","venue":null,"work_id":"3c63a17a-96ad-4238-b5f9-209b776cdf4f","year":2015},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.956372Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:5153de964f01b43855efcdaf379775cfbba5856c9c7b2cf426983b3f5fe43b69","observation_id":"cbf769dc-bc64-4c33-93be-c7c6c67d3bb7","resolution":{"observed_at":"2026-08-14T15:01:23.889397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.855446Z","title":null,"venue":null,"work_id":"f630e1f0-b136-4130-a08d-2aaf4d97b2a9","year":2010},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.961676Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:a861304601c9c3c8f47f3c16d67c76b8b3b110e25eb4072223d0bf2e4eccaf36","observation_id":"c2d52d63-7ee8-4f55-9e7d-a93f70753cc7","resolution":{"observed_at":"2026-08-14T15:01:23.863833Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.832459Z","title":"Conti, G","venue":null,"work_id":"35ec26d0-480e-426f-9bde-a1f135faa114","year":2006},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.970351Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:dd7b41d32628557c435e9cbeeb83bb5a3816b232d756dca3393ce7c828c833fb","observation_id":"9afa11de-0ff3-4624-a2f7-66f04ae0e521","resolution":{"observed_at":"2026-08-14T15:01:23.839539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.809559Z","title":"Dal Maso and L","venue":null,"work_id":"e95f82b1-300b-4015-ac1a-e0b9a1647d6f","year":1986},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.975607Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:247c71aaf3dd2681249293b95427770eeec6cf3ef73067859ecd6bba1aa9a34f","observation_id":"da64a671-39dc-4865-9740-b1f121f5ab8f","resolution":{"observed_at":"2026-08-14T15:01:23.816392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.786257Z","title":"Dal Maso and L","venue":null,"work_id":"1599fed0-6199-4e0f-a15a-b633193635bc","year":1986},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.981085Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:aee922d535684402ef91951b46a21674107ef548a29829cf14b4926997a4ef82","observation_id":"7a5857a8-9254-415a-a452-1662f4ef2662","resolution":{"observed_at":"2026-08-14T15:01:23.794795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.755755Z","title":"Duerinckx and A","venue":null,"work_id":"4aa3baf1-4891-499c-856b-2005c2c9983d","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.987014Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:11773aa5046d53742576e2f934293d4bbea10f2d8b8e876a6d061c661cabd1de","observation_id":"20de6e14-0a5c-4efa-ace4-995683ee42df","resolution":{"observed_at":"2026-08-14T15:01:23.763949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.03152","last_updated":"2019-10-10T10:47:29Z","snapshot_observed_at":"2026-08-14T20:15:32.291823Z","submitted_at":"2017-11-08T20:37:05Z","title":"Multiscale functional inequalities in probability: Constructive approach","version":2},"cited_work":{"arxiv_id":"1711.03152","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.03152","snapshot_observed_at":"2026-08-14T15:01:23.221996Z","title":"Multiscale functional inequalities in probability: Constructive approach","venue":"math.PR","work_id":"a61ff8ac-6349-4621-b942-014e32664186","year":2017},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.991277Z"},"links":{"cited_paper":"/paper/1711.03152","citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:2c6e36da457f7e558b534f21f09741a3521c44d56d8c0230a66d3e7052648db2","observation_id":"979e4816-74e1-456e-a2cb-d2f7e0e271c7","resolution":{"observed_at":"2026-08-14T15:01:23.227519Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.732907Z","title":"Duerinckx, S","venue":null,"work_id":"bf6bd973-7425-474b-b1f2-3c960646c6fa","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:22.996128Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:9a05526443d4a9273c167f593a6c7d6e3409d7a68004cc0e4d16072b88b47bd4","observation_id":"8758b233-546c-41d8-9de1-4415a6030ba7","resolution":{"observed_at":"2026-08-14T15:01:23.740154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.712931Z","title":null,"venue":null,"work_id":"99593a49-3f30-4112-a73c-245713c93ade","year":2019},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.000937Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:57261dce8c1fabdd08832b9bdd035a3f240b623f2270ee87f62497a1e6ac95f3","observation_id":"d07136d2-de0b-44c4-bb40-a2de45250d0e","resolution":{"observed_at":"2026-08-14T15:01:23.718627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.684143Z","title":"Fischer and C","venue":null,"work_id":"d4397e26-dbc3-49f4-8050-dbf1b57d1a7f","year":2017},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.006503Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:ee49762f436c7fe8a0b882239e8ca1d8bfbc62776993c7e27c70c336d478e097","observation_id":"e83ea766-61de-43ad-a8f3-c85bbb2deb6f","resolution":{"observed_at":"2026-08-14T15:01:23.694667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.664046Z","title":null,"venue":null,"work_id":"3c8214e4-8fe4-47ee-8f15-44aa25560b2a","year":2016},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.011815Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:4d9ed0ad2ec9cc991aa09ddd0412c438726c75f1c06d15a8da044c70a1ae325f","observation_id":"0e8a29bb-d099-4772-af09-234c955f1c4e","resolution":{"observed_at":"2026-08-14T15:01:23.670247Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.017249Z","title":"Friesecke and F","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.017249Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:7fadb95f4198705e8d924b4c7ffa1538ff3be251e4536fd48e0503a11b282316","observation_id":"272b6ebf-f362-4cd6-a6ce-6400ff225c1d","resolution":{"observed_at":"2026-08-14T15:01:23.017249Z","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":"2026-08-14T15:01:23.634043Z","title":"Geymonat, S","venue":null,"work_id":"3db9fd47-26e8-438b-adfd-136f36bec078","year":1993},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.022765Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:e72da7c310c489b7de576cccff0d68945faddb8a1f6ce7e775cf06b8239e9b17","observation_id":"ed755d68-9fc4-4488-93b8-2f3f785792ae","resolution":{"observed_at":"2026-08-14T15:01:23.639005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.618183Z","title":"Giaquinta and L","venue":null,"work_id":"372c4e26-5345-449c-a6d8-0994e60a72bf","year":2012},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.027589Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:c9206767f344b75f7db922571ac18c1d838c7f37b3477e4d2c391d673e901de2","observation_id":"00017508-92b9-4b0e-9070-6a721dd7e73d","resolution":{"observed_at":"2026-08-14T15:01:23.622778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.601473Z","title":"Gilbarg and N","venue":null,"work_id":"28218917-f7e8-43f2-8a3b-fb059f732705","year":2001},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.034010Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:387fa0515f6d53b67bda11b92b48a059d37d34378187d67b80551840c011d14b","observation_id":"f14e6416-dcd2-466e-acbf-7430470d3a5a","resolution":{"observed_at":"2026-08-14T15:01:23.606317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.576255Z","title":"Gloria, S","venue":null,"work_id":"fb1cede7-076c-4dda-945d-9aefa7b12d72","year":2015},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.038993Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:042d1009d55628e91c89dcae030e54973979002006ebaf1f8fd59a1dd0d033aa","observation_id":"2f664485-fefd-4f88-8228-5daef06c1747","resolution":{"observed_at":"2026-08-14T15:01:23.583606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.555543Z","title":"Gloria, S","venue":null,"work_id":"9aa2961e-8484-4cb8-93eb-385da0328a05","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.044384Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:3fa2df368a9a48cbd68f1f7c98e61f4a322e6592f6e6738b1adb67c8be877621","observation_id":"50fa4b79-a90b-4f78-a51e-852704a4abdd","resolution":{"observed_at":"2026-08-14T15:01:23.563622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.533024Z","title":"Gloria, S","venue":null,"work_id":"ccd66663-de32-4552-9737-f8128c48e68b","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.051029Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:e34d4d14a7bd61098a08ef3132b67ea41868f37c1fdf27dcac776f3cf2733f36","observation_id":"5424b83a-078a-4459-a4df-2c4dde9ce503","resolution":{"observed_at":"2026-08-14T15:01:23.538760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.514902Z","title":"Gloria and F","venue":null,"work_id":"81360b1f-3504-4978-8579-7aa5511c846c","year":2011},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.057082Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:9cfc18d354270b963335d4616d27308eb8f2841867dfd1e8781e8017003882c6","observation_id":"675070b8-3a10-4128-b129-a57705c2fe8d","resolution":{"observed_at":"2026-08-14T15:01:23.520375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.492539Z","title":"Gloria and F","venue":null,"work_id":"c22b91a3-d933-4fc0-b26e-3a9cdd6595f1","year":2012},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.062090Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:de379d2a12dde5b385afb39de3f6ef00548e9e775f50a7fead46bd0a375aa67c","observation_id":"b47395d0-5e66-478e-a3a5-51874018b28d","resolution":{"observed_at":"2026-08-14T15:01:23.502476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.08290","last_updated":"2016-05-04T22:14:58Z","snapshot_observed_at":"2026-08-14T22:25:56.681149Z","submitted_at":"2015-10-28T12:46:57Z","title":"The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.08290","snapshot_observed_at":"2026-08-14T15:01:23.067937Z","title":"Gloria and F","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.067937Z"},"links":{"cited_paper":"/paper/1510.08290","citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:642ce64cd9a50740473d2e3746a3897fac5e102e61ffb205865e572866d88f82","observation_id":"890f7bcc-c2eb-4c11-b352-7a6c7bd1c85f","resolution":{"observed_at":"2026-08-14T15:01:23.067937Z","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":"2026-08-14T15:01:23.472293Z","title":"Gloria and M","venue":null,"work_id":"187c0633-3ec1-4931-a5f9-965cfd62a6e2","year":2019},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.074899Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:8b2e3818a082016f1a99896119dc49c63a520b949df753d6fdd23fd28666f9d8","observation_id":"81492a2b-fc4b-4f19-8b19-b035a24cd89f","resolution":{"observed_at":"2026-08-14T15:01:23.479051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.450483Z","title":"Guti´ errez","venue":null,"work_id":"9c4ba805-6479-4acf-a177-5c75a716af4f","year":1998},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.079845Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:4b1b4996ba29ff10d63f12992061a6454813a9fcdca4cffb1af2a495fd4ffdcf","observation_id":"2af0e373-fef5-4b27-81ec-09dd9a444f52","resolution":{"observed_at":"2026-08-14T15:01:23.458476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.431827Z","title":"Mitake, H","venue":null,"work_id":"acaa14ce-5757-46e4-b8ef-d42af4334af2","year":2019},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.084618Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:ff80e0f9988a105879ce59456c138b46bfbe641e1fa4c3def253621866872f57","observation_id":"54e99e9f-e2a7-4806-a965-c1ae63e1a87b","resolution":{"observed_at":"2026-08-14T15:01:23.437761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.412778Z","title":"Naddaf and T","venue":null,"work_id":"dd5370fa-2174-4c73-899e-0c40e5923d61","year":1998},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.089148Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:d632b79dc7225180fdf022ae569eb43141a38b77bda4fbb92cfcc8251c57ad5d","observation_id":"f8aeb138-6c1b-44bf-8e48-68bd6b9954b9","resolution":{"observed_at":"2026-08-14T15:01:23.418931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.394512Z","title":"Neﬀ and D","venue":null,"work_id":"efa89d75-d6f0-479b-90e5-8535c2e98c2f","year":2008},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.094961Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:174809900a1690727f19fac7149d29f4497da9ac3810c06e661586dc00abaa8a","observation_id":"9b435193-67b0-48b8-bde2-865c5887b938","resolution":{"observed_at":"2026-08-14T15:01:23.400341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.376026Z","title":"Neukamm and M","venue":null,"work_id":"950f4c04-b41f-4f40-8872-ab75e9912553","year":2018},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.100629Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:6b5138f1ed14c0f6e2dfd0413c3dc9c35cfe4dd19e248d4b632639dde0788810","observation_id":"26fcb8f0-7d38-41e5-979a-a205467f32da","resolution":{"observed_at":"2026-08-14T15:01:23.381637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.358939Z","title":"Neukamm and M","venue":null,"work_id":"ae9c2db7-dba2-45e4-b0fd-d74a8708d956","year":2019},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.108711Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:5af7e6829d191fdc6a41ba3f017b9417da3dbf9b33261c259c7469f371aa16cf","observation_id":"33289998-57a3-4388-bb32-70e0ff9dea9d","resolution":{"observed_at":"2026-08-14T15:01:23.364461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.337717Z","title":"Uhlenbeck","venue":null,"work_id":"2cef4997-dc95-4084-9a9e-532c97725836","year":1977},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.113596Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:3952600901b92bb24dad5890ce15163e4ae937938fcf4216bfd3b5c6bbd70db7","observation_id":"ba79bba3-da52-4b26-b24e-f4e22f92d280","resolution":{"observed_at":"2026-08-14T15:01:23.344494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1807.10865","last_updated":"2018-07-28T01:21:10Z","snapshot_observed_at":"2026-08-14T18:46:52.420156Z","submitted_at":"2018-07-28T01:21:10Z","title":"Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators","version":1},"cited_work":{"arxiv_id":"1807.10865","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.10865","snapshot_observed_at":"2026-08-14T15:01:23.175642Z","title":"Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators","venue":"math.AP","work_id":"41a13ab5-7cc5-4bbd-a56f-c9628b177991","year":2018},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.118821Z"},"links":{"cited_paper":"/paper/1807.10865","citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:a049d3a01b7a84354ada732497e1f37d1dd905c366b21c0385d2e7a541170566","observation_id":"b497f892-717d-4303-b468-4d122e2550a5","resolution":{"observed_at":"2026-08-14T15:01:23.184593Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.317290Z","title":null,"venue":null,"work_id":"e63479e1-b153-483b-88f6-206eeadd48f6","year":2020},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.124950Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:0074ec893530088484f6227cfb19ca1d02c9233d94764f7c93ddaa32d9d1f1c9","observation_id":"90699803-9a9e-4bc3-88cc-be40b4899e87","resolution":{"observed_at":"2026-08-14T15:01:23.322922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:01:23.293091Z","title":null,"venue":null,"work_id":"2f169796-cf43-4e67-b7ae-407dcab89484","year":1991},"citing_paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T15:01:23.129858Z"},"links":{"citing_paper":"/paper/1908.02273"},"observation_digest":"sha256:94e9e3602a63c0493a3a62ecc5f14c9a24586ac7d4252d652e604705a7ffca67","observation_id":"e57b1eef-bdf0-4044-bd09-ed997cdc708b","resolution":{"observed_at":"2026-08-14T15:01:23.301400Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02273","last_updated":"2020-12-28T22:09:53Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T03:39:39.889599Z","submitted_at":"2019-08-06T17:51:20Z","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":4,"verified_fuzzy":29},"total_outbound_references":45},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.02273."}