{"as_of":"2026-08-10T23:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2ac971bfc93eff807e259b517b4300a07556be8aeb68900463dc28ea24bca3a9","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:04:12.755763Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T21:52:01.616677Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-22T19:11:58.081721Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"cited_work":{"arxiv_id":"2501.18561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.18561","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Preprint, arXiv:2501.18561 [math.AP] (2025)","venue":null,"work_id":"04e01cf1-fe57-4196-a0a5-3a342fbf0430","year":2025},"citing_paper":{"arxiv_id":"2504.14676","last_updated":"2026-04-15T15:10:37Z","snapshot_observed_at":"2026-08-01T03:36:48.850681Z","submitted_at":"2025-04-20T16:37:08Z","title":"Strong well-posedness for a stochastic fluid-rigid body system via stochastic maximal regularity","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-22T19:10:53.430110Z"},"links":{"cited_paper":"/paper/2501.18561","citing_paper":"/paper/2504.14676"},"observation_digest":"sha256:a3db7e42c74ce9d56203acc780560ddc64df5f008a849f0738019013c508a458","observation_id":"ad4362f0-93f3-40ad-a428-4531d146f085","resolution":{"observed_at":"2026-05-22T19:11:58.083525Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18561","snapshot_observed_at":"2026-08-04T21:52:01.616677Z","title":"Agresti and M.C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.07803","last_updated":"2026-05-29T16:20:57Z","snapshot_observed_at":"2026-08-10T10:18:35.179507Z","submitted_at":"2025-09-09T14:44:15Z","title":"A Note on a threshold for temporal regularity of stochastic PDEs","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T21:52:01.616677Z"},"links":{"cited_paper":"/paper/2501.18561","citing_paper":"/paper/2509.07803"},"observation_digest":"sha256:f2325149dc8dd35e837b0e450ae9cc3bebc5daf1ac8f62d980c0fe16db69f23f","observation_id":"47072286-9b31-4ff5-ad28-fc011e87b5f1","resolution":{"observed_at":"2026-08-04T21:52:01.616677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18561","snapshot_observed_at":"2026-08-01T07:34:55.482791Z","title":"arXiv preprint arXiv:2501.18561 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27472","last_updated":"2026-07-29T21:24:40Z","snapshot_observed_at":"2026-08-07T01:19:12.961333Z","submitted_at":"2026-07-29T21:24:40Z","title":"The stochastic Keller--Segel system in critical spaces","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-01T07:34:55.482791Z"},"links":{"cited_paper":"/paper/2501.18561","citing_paper":"/paper/2607.27472"},"observation_digest":"sha256:1cd80e001c331a6156f672e339ee9759ad422f2ca1bf1342448ad0c8ba8e90e2","observation_id":"9432128a-d960-4a26-b0b4-8fa99ae36e63","resolution":{"observed_at":"2026-08-01T07:34:55.482791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18561/citation-record","integrity":"/paper/2501.18561/integrity","json":"/paper/2501.18561/citation-record.json","paper":"/paper/2501.18561"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.01193","last_updated":"2024-01-10T17:17:45Z","snapshot_observed_at":"2026-08-10T03:31:12.687632Z","submitted_at":"2023-10-02T13:30:18Z","title":"The primitive equations with rough transport noise: Global well-posedness and regularity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.01193","snapshot_observed_at":"2026-08-09T23:04:12.180078Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.180078Z"},"links":{"cited_paper":"/paper/2310.01193","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:e04033e79eaa2d17df0ca3c87772bcf2d040ffb2fb90eaf33dc73bf91bf04f3c","observation_id":"9ae4a43d-db90-48c1-a6b7-b312f7ce3f2e","resolution":{"observed_at":"2026-08-09T23:04:12.180078Z","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":"2405.03525","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:04:14.864489Z","title":null,"venue":null,"work_id":"0b85f3dc-1a8a-47c8-a864-5c1faee1a02e","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.211880Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:40d738744792e059b69eabb660d0b2694cfbd4edf417787af038dbc6e49a898d","observation_id":"3afcd7fc-9b1d-4fde-8e35-ff0d2d777258","resolution":{"observed_at":"2026-08-09T23:04:14.878045Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:12.227050Z","title":"Agresti and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.227050Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:832f2fb4258101b834f6cd9444dd3c63b8f886bd76a68fb2e1755664fc509dc2","observation_id":"ef95712f-3988-4e98-8a91-ea8eac608fdb","resolution":{"observed_at":"2026-08-09T23:04:12.227050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01271","last_updated":"2025-07-03T13:13:15Z","snapshot_observed_at":"2026-08-10T03:32:28.674202Z","submitted_at":"2023-11-02T14:34:26Z","title":"An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.01271","snapshot_observed_at":"2026-08-09T23:04:12.255984Z","title":"Bechtel and M.C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.255984Z"},"links":{"cited_paper":"/paper/2311.01271","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:36c5e0bfb37fac4ddda590bf5be990b568c394db1ed359bfdb73bdee24b1c255","observation_id":"f75776a0-87cd-4690-84cf-e362b8b99c0a","resolution":{"observed_at":"2026-08-09T23:04:12.255984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.15006","last_updated":"2024-03-22T07:35:16Z","snapshot_observed_at":"2026-08-10T03:32:14.631026Z","submitted_at":"2024-03-22T07:35:16Z","title":"Lecture notes on stationary critical and super-critical SPDEs","version":1},"cited_work":{"arxiv_id":"2403.15006","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.15006","snapshot_observed_at":"2026-08-09T23:04:13.865202Z","title":"Lecture notes on stationary critical and super-critical SPDEs","venue":"math.PR","work_id":"48689a42-7b3a-4cc4-9acc-dd414c1654a2","year":2024},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.342302Z"},"links":{"cited_paper":"/paper/2403.15006","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:b15b86357a51daa2c8616ef49f306e4e67b854faef54ca9049e499e63375dd14","observation_id":"d9a5b33d-4e46-4963-a941-163b3238e9e7","resolution":{"observed_at":"2026-08-09T23:04:13.877834Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.11969","last_updated":"2025-09-03T05:19:00Z","snapshot_observed_at":"2026-07-06T18:16:42.428308Z","submitted_at":"2024-05-20T11:48:13Z","title":"Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.11969","snapshot_observed_at":"2026-08-09T23:04:12.378661Z","title":"Choi, B.-S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.378661Z"},"links":{"cited_paper":"/paper/2405.11969","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:2ae38231ccad1f240ea771abee3a796d69992a946dd7449f9e212331802cf2f1","observation_id":"36229bbe-3117-445e-b190-4eb0f1c10561","resolution":{"observed_at":"2026-08-09T23:04:12.378661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00370","last_updated":"2023-09-27T18:20:57Z","snapshot_observed_at":"2026-08-10T04:35:59.878892Z","submitted_at":"2023-09-01T10:00:12Z","title":"On the trace theorem to Volterra-type equations with local or non-local derivatives","version":2},"cited_work":{"arxiv_id":"2309.00370","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.00370","snapshot_observed_at":"2026-08-09T23:04:13.762541Z","title":"On the trace theorem to Volterra-type equations with local or non-local derivatives","venue":"math.AP","work_id":"d8b8818d-9bcd-485a-9076-acf9411261f7","year":2023},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.418403Z"},"links":{"cited_paper":"/paper/2309.00370","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:238827f57c9168954c8a8630a9a208c4912d68d58b9312e772fc180040a65aaf","observation_id":"80850552-91be-4773-b5f7-0216c09937ff","resolution":{"observed_at":"2026-08-09T23:04:13.777082Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.340645Z","title":"Cl´ ement and S","venue":null,"work_id":"f74b3f6e-8315-4090-8a3d-7df72cbe7946","year":1993},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.497661Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:935fd1fddb5133bf6db24f44b8dcad519222e94e87181c60a7c5fe23975c2d77","observation_id":"1f8136fc-6331-4525-aedb-62caef96d106","resolution":{"observed_at":"2026-08-09T23:04:15.349881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.200387Z","title":null,"venue":null,"work_id":"7db88676-d8ea-4d35-8920-e80745006d27","year":1966},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.581156Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:bd551832c1ae46495f40bb803f020aa51f00c61bf3b2b6f54c72f42ef44ae81b","observation_id":"f0a8714a-ff29-4872-9e8e-4e2909272c01","resolution":{"observed_at":"2026-08-09T23:04:15.210912Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11678","last_updated":"2024-08-21T14:57:53Z","snapshot_observed_at":"2026-07-06T19:04:05.185677Z","submitted_at":"2024-08-21T14:57:53Z","title":"Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.11678","snapshot_observed_at":"2026-08-09T23:04:12.612655Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.612655Z"},"links":{"cited_paper":"/paper/2408.11678","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:99da1b07e7e226068bc65df2e85e721bff43aba348931d34691339f4d7cc05b4","observation_id":"6743a022-b9f4-4292-a767-5a28909d52a4","resolution":{"observed_at":"2026-08-09T23:04:12.612655Z","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":"2026-08-09T23:04:15.133338Z","title":"Kim, K.-H","venue":null,"work_id":"f1fa75ba-4b68-4fd4-90b9-be787dff1f80","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.656984Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:c30b1366789c976e450992fc2fb06dea0d3cc48e8c6d95428beeea4718a4fb3f","observation_id":"9b45880c-ac79-442b-ac69-9f4beb4fa7c7","resolution":{"observed_at":"2026-08-09T23:04:15.145314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.100667Z","title":null,"venue":null,"work_id":"f368db27-ffe8-4be4-957b-75b7911297c9","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.667112Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:fb4c692f5119655051747f6f23240133744c9e3c6546d74097ccb140b1ac425b","observation_id":"2c38c1a9-d0c3-44a1-936c-fa68e52e987f","resolution":{"observed_at":"2026-08-09T23:04:15.114331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.079850Z","title":"[KN23] C","venue":null,"work_id":"7de7c466-8f4e-4a6a-823c-443d1dde4355","year":2020},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.676524Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:252c11e0381cc20fd44a95e600b9fcb7debb682b64821764c2e4312a6daa4913","observation_id":"257bd002-e76c-44fe-9379-31cd6f635223","resolution":{"observed_at":"2026-08-09T23:04:15.087107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.05067","last_updated":"2024-12-18T15:14:48Z","snapshot_observed_at":"2026-08-08T09:29:58.821855Z","submitted_at":"2024-08-09T13:50:16Z","title":"Quasilinear parabolic equations with superlinear nonlinearities in critical spaces","version":2},"cited_work":{"arxiv_id":"2408.05067","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.05067","snapshot_observed_at":"2026-08-09T23:04:13.296212Z","title":"Quasilinear parabolic equations with superlinear nonlinearities in critical spaces","venue":"math.AP","work_id":"f0d544a6-22c3-48ed-b7f3-365de42c7f4c","year":2024},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.690408Z"},"links":{"cited_paper":"/paper/2408.05067","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:46eae7cf5aa3f73ac98421a79e8fc2e59a44e1a7fc7f84bd9e5fc625108dcd24","observation_id":"6611b718-4319-4551-aac4-0c5ae0f190ac","resolution":{"observed_at":"2026-08-09T23:04:13.322554Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.00920","last_updated":"2024-07-01T02:53:34Z","snapshot_observed_at":"2026-08-02T18:17:48.685387Z","submitted_at":"2024-07-01T02:53:34Z","title":"Surface quasi-geostrophic equations forced by random noise: prescribed energy and non-unique Markov selections","version":1},"cited_work":{"arxiv_id":"2407.00920","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.00920","snapshot_observed_at":"2026-08-09T23:04:12.811782Z","title":"Surface quasi-geostrophic equations forced by random noise: prescribed energy and non-unique Markov selections","venue":"math.AP","work_id":"1a0f30f5-c7ff-4246-9f29-e258cd7f75cb","year":2024},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.747967Z"},"links":{"cited_paper":"/paper/2407.00920","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:99ba0468efc7dc9b3e4aafe18a212f58721b497586e3bac6a802cde4d1d21779","observation_id":"aed1c94c-6d89-4b57-93c4-dd97c07fe5a4","resolution":{"observed_at":"2026-08-09T23:04:12.831946Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:14.976648Z","title":null,"venue":null,"work_id":"1304de30-2e91-44a3-8709-3dffb2c11a79","year":1986},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.755763Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:7c5fe8ad1b44ecd35df2377aa4e5c568f5821b1dc90bd1ead7f940df6cb120f1","observation_id":"71700951-404c-471f-b2ba-a36a4fb5f9b7","resolution":{"observed_at":"2026-08-09T23:04:14.986834Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.269925Z","title":"Debussche, M","venue":null,"work_id":"69ec5aea-cfde-4971-8a21-372c359f038d","year":1916},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1964,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.564055Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:b3c07fbd50cc6362db41f5bddac89ff898e78b118d601e2ac656071fc8f702bf","observation_id":"93eb0f15-5b68-4508-974f-d65e9aeb8d07","resolution":{"observed_at":"2026-08-09T23:04:15.282348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08761","last_updated":"2024-04-15T19:32:09Z","snapshot_observed_at":"2026-08-10T11:35:52.673091Z","submitted_at":"2023-05-15T16:20:15Z","title":"Weak well-posedness by transport noise for a class of 2D fluid dynamics equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.08761","snapshot_observed_at":"2026-08-09T23:04:12.592806Z","title":"Galeati and D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1966,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.592806Z"},"links":{"cited_paper":"/paper/2305.08761","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:ab8d9c0b7a3d4ea73c819694e38ecce61740aeffb1daabae467770741a29aa19","observation_id":"2fed6f98-e5da-4cb7-9558-cda566fba283","resolution":{"observed_at":"2026-08-09T23:04:12.592806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00189","last_updated":"2026-06-19T22:05:09Z","snapshot_observed_at":"2026-08-09T19:50:10.927140Z","submitted_at":"2025-01-31T22:07:53Z","title":"The Yamada-Watanabe-Engelbert theorem for SPDEs in Banach spaces","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.00189","snapshot_observed_at":"2026-08-09T23:04:12.723608Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1979,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.723608Z"},"links":{"cited_paper":"/paper/2502.00189","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:2b5375e1151147f38f109c3c45a7ec4f5272331b5bab5ff0c48d38efd9adb3fb","observation_id":"8903daab-6744-465b-918b-2c3fd142c8d1","resolution":{"observed_at":"2026-08-09T23:04:12.723608Z","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":"2026-08-09T23:04:15.366653Z","title":null,"venue":null,"work_id":"58239b66-bcd6-489a-a702-d76f2a3eda25","year":1903},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1981,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.316059Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:c3c1c08dc96a33c0671f70345c80400c40cb2aa03593fe35a2d8759f6704658f","observation_id":"a62afffb-a24c-4cc0-b103-abe77dd7c006","resolution":{"observed_at":"2026-08-09T23:04:15.382843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.301277Z","title":"Da Prato","venue":null,"work_id":"a8328194-6a59-4055-978f-01489654e80c","year":1986},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1982,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.554827Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:265c12b2dc65f41c3c8cda14a8dec22c10e4a622a598e6179c732f0583f518ae","observation_id":"1cd878b0-d628-4b39-9ee4-51c9531d4715","resolution":{"observed_at":"2026-08-09T23:04:15.317729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18242","last_updated":"2024-09-26T19:34:49Z","snapshot_observed_at":"2026-07-06T19:23:02.463337Z","submitted_at":"2024-09-26T19:34:49Z","title":"Once again on evolution equations with monotone operators in Hilbert spaces and applications","version":1},"cited_work":{"arxiv_id":"2409.18242","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.18242","snapshot_observed_at":"2026-08-09T23:04:13.534159Z","title":"Once again on evolution equations with monotone operators in Hilbert spaces and applications","venue":"math.PR","work_id":"99e5bd7b-225e-432f-9781-fd94c1d94a7b","year":2024},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.628454Z"},"links":{"cited_paper":"/paper/2409.18242","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:8a348810f76bc46524f9e3e807ff217a81472459a4f43487d3a6960d5f65dba4","observation_id":"41b83f82-caa0-4cd4-b7fa-857b9a525b05","resolution":{"observed_at":"2026-08-09T23:04:13.549617Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13615","last_updated":"2024-09-20T16:23:10Z","snapshot_observed_at":"2026-08-10T03:55:05.087270Z","submitted_at":"2024-09-20T16:23:10Z","title":"Sharp supremum and H\\\"older bounds for stochastic integrals indexed by a parameter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.13615","snapshot_observed_at":"2026-08-09T23:04:12.537966Z","title":"Cox and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":1996,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.537966Z"},"links":{"cited_paper":"/paper/2409.13615","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:058b7632893ce0d393f6464ea25e2265b1f452879cf0324ca2dfae8a44171581","observation_id":"f7e0db2d-b1de-467c-89c7-994bee50dd3f","resolution":{"observed_at":"2026-08-09T23:04:12.537966Z","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":"2026-08-09T23:04:15.165356Z","title":"Gnann, J","venue":null,"work_id":"525ac3d8-9a82-4c44-9d4a-1e01ca7dd640","year":1948},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.604063Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:5eb6c839b7b26ce0e875d068a92becb3b6dcb5cd2d72b3ae1b86cae093f8a1c8","observation_id":"2e63af23-7418-40b3-8d57-288de63aac4b","resolution":{"observed_at":"2026-08-09T23:04:15.177522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.03782","last_updated":"2020-03-22T16:40:21Z","snapshot_observed_at":"2026-07-06T09:03:05.815205Z","submitted_at":"2020-03-08T13:40:13Z","title":"An $L_p$-theory for the stochastic heat equation on angular domains in $\\mathbb{R}^2$ with mixed weights","version":2},"cited_work":{"arxiv_id":"2003.03782","doi":null,"metadata_source":"pith","pith_arxiv_id":"2003.03782","snapshot_observed_at":"2026-08-09T23:04:13.701191Z","title":"An $L_p$-theory for the stochastic heat equation on angular domains in $\\mathbb{R}^2$ with mixed weights","venue":"math.PR","work_id":"8fac43d3-5ced-4f1c-a629-82d373417a8c","year":2020},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.463639Z"},"links":{"cited_paper":"/paper/2003.03782","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:86d3040f019da5a94b45192600417c4da28adbce7633f1887179983405b28722","observation_id":"07b78a28-2350-4a9d-a71f-87195a1e8a62","resolution":{"observed_at":"2026-08-09T23:04:13.712826Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1403.6353","last_updated":"2014-03-25T14:18:02Z","snapshot_observed_at":"2026-07-06T03:39:24.424591Z","submitted_at":"2014-03-25T14:18:02Z","title":"Singular stochastic PDEs","version":1},"cited_work":{"arxiv_id":"1403.6353","doi":null,"metadata_source":"pith","pith_arxiv_id":"1403.6353","snapshot_observed_at":"2026-08-09T23:04:13.388991Z","title":"Singular stochastic PDEs","venue":"math.PR","work_id":"9119d6d0-269c-40e9-87f9-0b7d4851fc15","year":2014},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.643154Z"},"links":{"cited_paper":"/paper/1403.6353","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:f40244d48291add93721d2531f33a1fb51b4fda9bf08524fbedf3e2237ce6729","observation_id":"dd962b53-8d17-49c5-8c44-400dc384dc98","resolution":{"observed_at":"2026-08-09T23:04:13.446911Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2412.17420","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:04:14.240534Z","title":"Bechtel, F","venue":null,"work_id":"1d2cc7fd-4cd9-4e19-a067-cba900fa6afd","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.239904Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:c3ce74fa74e7be350d088266dd339ae377d91929a2a725d66631e3ce5fbbb849","observation_id":"dc018c2f-3fe7-46f2-811c-2fe2aaa00dcd","resolution":{"observed_at":"2026-08-09T23:04:14.253986Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.037732Z","title":"Pr¨ uss, G","venue":null,"work_id":"96851244-0ca0-4dd7-bce9-1c163e757075","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.706584Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:2f132362ca329d699514909b45fcede43b56ed6dfe320d5c5e11d22ee309f5e6","observation_id":"33a40bc4-47ba-4bda-967e-de3070f011d6","resolution":{"observed_at":"2026-08-09T23:04:15.049031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.10999","last_updated":"2024-10-18T08:06:04Z","snapshot_observed_at":"2026-07-06T15:29:16.851803Z","submitted_at":"2023-05-18T14:22:08Z","title":"Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise","version":2},"cited_work":{"arxiv_id":"2305.10999","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.10999","snapshot_observed_at":"2026-08-09T23:04:13.916605Z","title":"Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise","venue":"math.NA","work_id":"6d2a730f-b154-47ed-a987-1c8923f74f8b","year":2023},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.301405Z"},"links":{"cited_paper":"/paper/2305.10999","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:d82f020ec048153821d7fd077dcb7d8a94f59107929f0f9af19ac7cb2d766686","observation_id":"ce24b095-02c7-4735-a067-b4aac75a3dbb","resolution":{"observed_at":"2026-08-09T23:04:13.928595Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-09T23:04:15.238999Z","title":"Duan and A","venue":null,"work_id":"d487f3d3-5831-4a07-b93b-524f5b518717","year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.571040Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:7a6ba595f6ae80a3c69b84a1e0f55af842a2e4b8ad676687507fe5f306571c97","observation_id":"114033c3-8b37-4c8c-9438-ab37373e9135","resolution":{"observed_at":"2026-08-09T23:04:15.245972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.04232","last_updated":"2024-06-06T16:31:32Z","snapshot_observed_at":"2026-08-10T18:27:00.275886Z","submitted_at":"2024-06-06T16:31:32Z","title":"Multidimensional Stability of Planar Travelling Waves for Stochastically Perturbed Reaction-Diffusion Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.04232","snapshot_observed_at":"2026-08-09T23:04:12.286718Z","title":"van den Bosch and H.J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.286718Z"},"links":{"cited_paper":"/paper/2406.04232","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:33fc176d49706c79f725cafdfb8dce2d7e64054f9590982d524e3271bbf4c892","observation_id":"6508a538-ef9a-482f-a58f-e2103e1a3380","resolution":{"observed_at":"2026-08-09T23:04:12.286718Z","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":"2026-08-09T23:04:15.402774Z","title":null,"venue":null,"work_id":"2d79f720-36da-4783-9601-d867e85320fb","year":1907},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.192484Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:43852b2538d14755dd99b2fcca682717923feb8eb218cd82506733679cc8d215","observation_id":"d18684d0-0fd3-45eb-bf08-cd75f927058c","resolution":{"observed_at":"2026-08-09T23:04:15.412925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.09267","last_updated":"2026-07-31T09:52:19Z","snapshot_observed_at":"2026-08-10T11:08:03.239898Z","submitted_at":"2024-06-13T16:06:42Z","title":"Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.09267","snapshot_observed_at":"2026-08-09T23:04:12.200667Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.200667Z"},"links":{"cited_paper":"/paper/2406.09267","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:88cb70045f620f67f5600c766368a8b069e946a659af7567dec70a99c0058870","observation_id":"92c41c8b-6ace-4dd2-89c5-f283ebf576d3","resolution":{"observed_at":"2026-08-09T23:04:12.200667Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:04:12.733147Z","title":"Theewis and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.733147Z"},"links":{"citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:3a304451ea9d52957f7d510c0825d818a9e997296f06e58da7afac97c4f3622e","observation_id":"581fa9b3-cd1a-4922-a5bc-9a4d2f43cc05","resolution":{"observed_at":"2026-08-09T23:04:12.733147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","latest_version":5,"primary_category":"math.PR","snapshot_observed_at":"2026-08-10T03:31:26.709122Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":10,"verified_fuzzy":8},"total_outbound_references":34},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2501.18561."}