{"as_of":"2026-08-19T04:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cf9501a260e401de265058e9b36e63258ae4bc1ab03bcbf03e42d0323033cd42","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:09:46.246944Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:51:39.348769Z","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":"2026-05-10T11:10:09.881552Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.13753","snapshot_observed_at":"2026-08-15T15:51:39.348769Z","title":"Chernov and T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.25753","last_updated":"2026-07-14T21:12:41Z","snapshot_observed_at":"2026-08-18T11:25:19.099050Z","submitted_at":"2025-09-30T04:18:44Z","title":"Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T15:51:39.348769Z"},"links":{"cited_paper":"/paper/2504.13753","citing_paper":"/paper/2509.25753"},"observation_digest":"sha256:baeb0b2e48f8537f423a3ea1434d4420399f8e226916375dd4cccc9aed1b9edf","observation_id":"71ed4186-321a-4e4f-8ebf-76418571a689","resolution":{"observed_at":"2026-08-15T15:51:39.348769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"cited_work":{"arxiv_id":"2504.13753","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.13753","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chernov and T","venue":null,"work_id":"486c5bfa-74db-430a-a94c-57393a0f1d9e","year":2025},"citing_paper":{"arxiv_id":"2604.18012","last_updated":"2026-04-20T09:35:25Z","snapshot_observed_at":"2026-08-16T22:28:36.477303Z","submitted_at":"2026-04-20T09:35:25Z","title":"Neural Shape Operator Surrogates -- Expression Rate Bounds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T04:53:12.913999Z"},"links":{"cited_paper":"/paper/2504.13753","citing_paper":"/paper/2604.18012"},"observation_digest":"sha256:27053680d2fa6fc273ea439640fcd7893bea18bbf2a74bc4f2a3ab641aaaaba8","observation_id":"a1b2629f-ab00-4828-8abf-b07eff8102e0","resolution":{"observed_at":"2026-05-10T11:10:09.882832Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.13753/citation-record","integrity":"/paper/2504.13753/integrity","json":"/paper/2504.13753/citation-record.json","paper":"/paper/2504.13753"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:09:46.905994Z","title":null,"venue":null,"work_id":"eaa6947c-b67a-4a72-8171-4e78252e911b","year":2023},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.095854Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:68b3f9c6d63b60b8401d0ac3671d92c4a180bffa61fc5ba52954bc815b960fa4","observation_id":"1a716c2b-ca68-4e89-957f-8d603488b87b","resolution":{"observed_at":"2026-08-16T12:09:46.910874Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.892585Z","title":"Springer series in computational mathematics","venue":null,"work_id":"96263cc6-5319-48cf-831d-fc8e94f683a7","year":2016},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.100977Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:830a72d37e3c6c926ef7ea8bce08fbd67cc9dc1615bf9f0f61601917714808fb","observation_id":"ead39c75-f39a-4482-afe1-a6842049273a","resolution":{"observed_at":"2026-08-16T12:09:46.897328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.878757Z","title":"Research report, Université de lorraine (April 2013)","venue":null,"work_id":"4f2a7dbd-2269-47e8-bec0-1a10d9bbca50","year":2013},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.105389Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:ca54f21c9c811782c375dce7a8ebf4f0862f923bc30c29e3e5198042ae0f1b1b","observation_id":"43eb114f-ccd7-4f46-b162-c5e7bb7953ad","resolution":{"observed_at":"2026-08-16T12:09:46.882981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.110367Z","title":"Nonlinear Anal","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.110367Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:0c50c0ea1ad1be1de70c24c9ea76261fc4385395c8c4921b9debebef3bf7e25e","observation_id":"925d0a2c-cbd0-42fd-8f22-b8b093be0d97","resolution":{"observed_at":"2026-08-16T12:09:46.110367Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.dsr2.2018.12.007","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:09:46.373687Z","title":"Deep Sea Research Part II: Topical Studies in Oceanography160, 32–40 (2019) https://doi.org/10.1016/j.dsr2.2018.12.007","venue":null,"work_id":"c3b31030-e6df-423e-839d-78f177a9fdf5","year":2019},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.114576Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:ad571c268703eb5263a615385f55a32715a045e8402d1696a09cdf133cfe0f9f","observation_id":"4ed8e473-3a6f-4e46-b79c-c097b43a2629","resolution":{"observed_at":"2026-08-16T12:09:46.378857Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.866391Z","title":"Mathematics of Cli- mate and Weather Forecasting 5(1), 65–106 (2019) https://doi.org/10.1515/ mcwf-2019-0005","venue":null,"work_id":"d6369684-c95c-4a4e-9554-80fe1d542cd1","year":2019},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.118842Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:cac207033eedfdfd2f35fb4e46c275c1b4d935c2e8b47f1394ad5a5e97aae38d","observation_id":"ebd2a8df-a552-499f-83f2-c3b4be94c50e","resolution":{"observed_at":"2026-08-16T12:09:46.870455Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.123433Z","title":"part ii: A fully random navier-stokes-cloud model","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.123433Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:7c0e96aa495bb93829d48ffe73f8d8113766ba97b3a8dcde0bcedbffcc5fc2c8","observation_id":"b54ff207-a40b-4698-b2b0-7521c856f68d","resolution":{"observed_at":"2026-08-16T12:09:46.123433Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m1099406","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:09:46.358933Z","title":"SIAM Journal on Mathematical Analysis 50(2), 1720–1752 (2018) https://doi.org/10.1137/16m1099406","venue":null,"work_id":"2e288b0a-37ec-499b-9d72-072282b86f24","year":2018},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.127557Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:22da6b683053fcb105396d0d0b6e47eac3cf8cdfc3254f820e7a51d90fe77408","observation_id":"64e83735-5dfa-4acf-8ea2-75ea94e34e53","resolution":{"observed_at":"2026-08-16T12:09:46.364432Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.15572","last_updated":"2025-01-06T09:07:35Z","snapshot_observed_at":"2026-08-18T11:26:49.806530Z","submitted_at":"2022-10-27T16:05:54Z","title":"Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields","version":3},"cited_work":{"arxiv_id":"2210.15572","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.15572","snapshot_observed_at":"2026-08-16T12:09:46.407012Z","title":"Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields","venue":"math.NA","work_id":"f5b19c63-db2a-42ee-b43e-ede7fb33e91b","year":2022},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.132089Z"},"links":{"cited_paper":"/paper/2210.15572","citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:e73b825701f7a91327f5485e64364f0e7649c6dce28720ddf6573b82ceed6cdb","observation_id":"5cd9f2b0-e9ea-43f2-ae47-d36a116a06a7","resolution":{"observed_at":"2026-08-16T12:09:46.412480Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/23m1596296","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:09:46.344411Z","title":"SIAM Journal on Numerical Analysis 62(4), 1874–1900 (2024) https://doi.org/10.1137/23M1596296","venue":null,"work_id":"766e5c17-2694-4c25-a981-b41f0d255402","year":2024},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.136747Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:0d18be2438d98ef39b436486ae3388032d43cb5f5f0a61f92d237c911eecd1a6","observation_id":"3d2bca7e-2e93-45a4-9257-66e4e2eee36f","resolution":{"observed_at":"2026-08-16T12:09:46.350030Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.140728Z","title":"Computers & Mathematics with Applications164, 116–130 (2024) https://doi","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.140728Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:b076a77ddea6794caa9ec30ce3cd546a96c5c8d3e458dad568e6da9708b2b1ef","observation_id":"a0d7fe03-6f4b-4fb6-b0ef-6993172b8a55","resolution":{"observed_at":"2026-08-16T12:09:46.140728Z","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":"2026-08-16T12:09:46.853321Z","title":"Mathemati- cal Models and Methods in Applied Sciences (2024) https://doi.org/10.1142/ 41 s0218202524500179","venue":null,"work_id":"ac6941f2-f5cd-4530-b69e-8f23e2922822","year":2024},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.145099Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:0cc5d7966f96e018fdf3cc99c232f149772ca84ec32446924eebae00e9a0aa3a","observation_id":"753ecd29-f5cc-44f2-9230-ce66a815900a","resolution":{"observed_at":"2026-08-16T12:09:46.857593Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.12345","last_updated":"2026-05-08T08:45:33Z","snapshot_observed_at":"2026-08-18T01:42:21.657677Z","submitted_at":"2025-02-17T22:18:50Z","title":"Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.12345","snapshot_observed_at":"2026-08-16T12:09:46.149244Z","title":"https://arxiv.org/abs/2502.12345","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.149244Z"},"links":{"cited_paper":"/paper/2502.12345","citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:0a0ca153501be9bee4c0dc79012fdff991c4b7e192e515906f0e1b6c6617aff5","observation_id":"9eaf8101-1258-4a9b-a86b-12497904ff95","resolution":{"observed_at":"2026-08-16T12:09:46.149244Z","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":"2026-08-16T12:09:46.153511Z","title":"An- nales de l’institut Fourier 17(1), 295–323 (1967) https://doi.org/10.5802/aif","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.153511Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:d69341c6b5b44cb404d8c8d5d8a3ce41355b398987c8afe38c30e6324a5071be","observation_id":"39c0c14f-3509-46e2-ae0a-70e31a90e0c6","resolution":{"observed_at":"2026-08-16T12:09:46.153511Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-16T12:09:46.157564Z","title":"Foundations of Computational Mathematics 10(6), 615–646 (2010) https://doi.org/10.1007/s10208-010-9072-2","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.157564Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:952aa07077307281139bb5240fe081ecb73603559e4b9deda75e8d7ed7c75dff","observation_id":"8bd49d90-37fe-43ec-9896-41a7908d7e38","resolution":{"observed_at":"2026-08-16T12:09:46.157564Z","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":"2026-08-16T12:09:46.840120Z","title":"Transactions of the American Mathematical Society348(2), 503–520 (1996)","venue":null,"work_id":"f159f0f8-e22d-4ef0-8a20-342a7fb4ca53","year":1996},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.161492Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:ae134a4e114e1d62b7fd49b1d9311fb0327a8150293a1f2da2068c89b70f460b","observation_id":"12af4c7b-41c2-46a4-bb87-921d991876d3","resolution":{"observed_at":"2026-08-16T12:09:46.844586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.827834Z","title":"Birkhäuser Advanced Texts Basler Lehrbücher","venue":null,"work_id":"02fa7b3a-f5f5-45a3-970e-45977b20e24e","year":2012},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.165381Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:5072cd134e6360b71fe156641ff8fc5fd8bbe8f92e21e0981008f5d7253c6e0d","observation_id":"e804ed99-6585-4234-ac93-4fc4892970cc","resolution":{"observed_at":"2026-08-16T12:09:46.831849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.815089Z","title":"Numerische Mathematik 142(4), 863–915 (2019) https://doi.org/10","venue":null,"work_id":"9dedd07c-1cf0-442c-8876-bae374aa77a6","year":2019},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.170112Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:bea6e4c80ee5acebf147e790c73fe82eb6920562288669aaf5c2c19207bec4d4","observation_id":"52a92eeb-9412-4133-9bef-622d0865c7a4","resolution":{"observed_at":"2026-08-16T12:09:46.819058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.802893Z","title":"Part I: Smooth domains","venue":null,"work_id":"f0a90b5a-b60d-42c2-9b34-6fe16c7234dd","year":2010},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.175164Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:05c0a037ffc2c2e7147e5bd120e419fcf47cff7c3806ecf86a7ff779a50d84c3","observation_id":"6aca4d1e-1656-4d55-bc7e-5a67f51e0762","resolution":{"observed_at":"2026-08-16T12:09:46.806929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.789809Z","title":"American Mathematical Society, Providence, RI (2024)","venue":null,"work_id":"18e43f6f-0c37-434a-a505-02a4d1bfae65","year":2024},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.179119Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:269b8ebcdfd5719ced4d938bb09c8018c54991aae42aef90a32ffb74f96b97c4","observation_id":"a23f96e4-d014-4c04-9ddd-c2df0d7d9fec","resolution":{"observed_at":"2026-08-16T12:09:46.794294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.775323Z","title":"Springer series in computational mathematics","venue":null,"work_id":"79a4ba4e-d7fe-412c-af6c-660bb4d33a8a","year":2011},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.182858Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:187fd7ee57002f1ea197a09bb19fc7c8dab756978d7bddc7907476127c6cbbc4","observation_id":"3b18ed42-0eef-49b2-b5ec-c7dddd21fbbf","resolution":{"observed_at":"2026-08-16T12:09:46.779710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.187772Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.187772Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:f7f5d649d918194d63e2b48e8b77c641fe4af414f8cc62d8f1d2bac4caf4bdad","observation_id":"77ee2cc3-59d7-453d-9138-3de3fcf59573","resolution":{"observed_at":"2026-08-16T12:09:46.187772Z","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":"2026-08-16T12:09:46.762788Z","title":"Mathematics of Computation 88(315), 73–89 (2018) https://doi.org/10","venue":null,"work_id":"6a5fd0f2-72d8-44d0-ae0e-ad40e21ec1f5","year":2018},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.192592Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:d19c8fcf0e454f5e1078c5962846088f19606ef72b283fa9f2fd06c4ddceb63e","observation_id":"d27e9076-ac78-4a5c-afdd-c7d6a72ed72b","resolution":{"observed_at":"2026-08-16T12:09:46.766783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.749700Z","title":"Classics in mathematics","venue":null,"work_id":"f129a7d5-6491-405f-b563-9b1745865f75","year":1995},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.196923Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:6f3529c5f8366a674d880402061cdbd5c58cda9a48b1e3c992d2ce3ebef12419","observation_id":"bbd16081-3746-4589-94b1-2d7c6f2a9ccf","resolution":{"observed_at":"2026-08-16T12:09:46.754257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.201248Z","title":"50(3), 1433–1455 (2012) https://doi.org/10.1137/100812574","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.201248Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:7d047507c59bbb1a55f65483bc68e75a3115905b5dcdde518c8b7b252d1aafd6","observation_id":"e376d45e-5c04-488f-8ff3-ae446301aae1","resolution":{"observed_at":"2026-08-16T12:09:46.201248Z","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":"2026-08-16T12:09:46.735641Z","title":"In: General Theory of Partial Differential Equations and Microlocal Analysis (Trieste, 1995)","venue":null,"work_id":"8446e626-5bc6-433b-a2e3-06b491281866","year":1996},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.205872Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:f3d1e4cb39e7fc2ba4e9b8cba70f711cbfd25e688c0fd9c154db4a943dab148f","observation_id":"e3a31ac5-6983-4e8f-bfd8-73a346ff0f94","resolution":{"observed_at":"2026-08-16T12:09:46.739488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.722725Z","title":null,"venue":null,"work_id":"f9c5b8f3-878c-4d2e-be96-25586186963f","year":2016},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.209732Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:2ed507ab5694f44080d37b08f49becf123d3aad1641d61020a5c13cc9ab6997c","observation_id":"f382e1ab-88f9-4d86-b5a9-6975db6e0a24","resolution":{"observed_at":"2026-08-16T12:09:46.726915Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.708653Z","title":"SIAM Review56, 261–273 (2014)","venue":null,"work_id":"dfae4877-781e-41f1-9515-192b85aa5cb7","year":2014},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.213798Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:dc9c9c249f74b36386f5e42eac7e933b956c551a2f200ae0376991f777643518","observation_id":"20ab603e-ad64-47fe-97bb-9eeaa33ed374","resolution":{"observed_at":"2026-08-16T12:09:46.713374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.695439Z","title":"ACM Trans","venue":null,"work_id":"cba2f539-0ac9-4ae6-bb17-1df61487a5ac","year":2007},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.217695Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:8b1193d4624151fc7767cac016cd5a8763f0e40d3027e30ed76a310baf3059e7","observation_id":"31ac358b-ff9a-4298-a00a-0eef8a7cdf81","resolution":{"observed_at":"2026-08-16T12:09:46.699433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/mana.201100131","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-17T11:03:46.409680Z","title":null,"venue":"Mathematische Nachrichten","work_id":"1025c547-05b6-4317-b425-9d02e1f0f266","year":2013},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.221503Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:8db63ec06a81982d343ec7e1bef30a15f3dfeda6c12b447dcfa6292a04c18feb","observation_id":"9592b68e-a8ed-438b-8ce2-68c748cea398","resolution":{"observed_at":"2026-08-16T12:09:46.293082Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0219530511001728","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:09:46.274384Z","title":null,"venue":null,"work_id":"11961618-9fb6-4a6b-9b50-05d3a5321c6d","year":2011},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.225596Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:c3c33707c5b716de49b0bcc5b06ee250e29029fdb00b38c8c5b6915cebcf3ca6","observation_id":"2fb0f47e-f35b-4869-91b3-f5846f31a980","resolution":{"observed_at":"2026-08-16T12:09:46.279468Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.681692Z","title":"ANZIAM J","venue":null,"work_id":"6464c0de-f5ae-4868-8a4e-cba45204ad3f","year":2011},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.229558Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:db59a194a2dd0f3a3458f2e51ce0a00e8d5427ffaa5716996d7e3aabdaea6b4f","observation_id":"fb5f4d2c-e7be-48e6-84d4-630eef95fd59","resolution":{"observed_at":"2026-08-16T12:09:46.685761Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.667762Z","title":"SIAM Journal on Numerical Analysis50(6), 3351–3374 (2012)","venue":null,"work_id":"a53f7388-5d9c-4cbc-90d2-bfce590193bb","year":2012},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.233767Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:ff7911ab8f2581fd79c8cbe1431064d1ffe7041f62e546130577996f21619b48","observation_id":"3b728d87-3be7-40c8-b44f-8ae31400bd78","resolution":{"observed_at":"2026-08-16T12:09:46.672894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.654664Z","title":null,"venue":null,"work_id":"3a59d32f-c6f3-4a5c-a013-5bcf7efe50ba","year":2016},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.238039Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:6f343a733eb7d3dded1f3fb45d2996be61ce54c76ad7f0f375381801159ce4c7","observation_id":"3bcddc9c-696c-4191-aaa8-158dfc27a08e","resolution":{"observed_at":"2026-08-16T12:09:46.658615Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.641053Z","title":"https://people.cs.kuleuven.be/⁄tildelowdirk.nuyens/qmc4pde/","venue":null,"work_id":"abe05415-54d7-460e-915e-1c3e90e7a529","year":null},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.242188Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:b32f1d2f769c23b6f002c9321485bcdc4fa926314d91606f93b98d21b57f5065","observation_id":"38fa96d5-e6f4-40c5-bb4b-aaad483082d8","resolution":{"observed_at":"2026-08-16T12:09:46.645636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T12:09:46.626797Z","title":null,"venue":null,"work_id":"5bdd3bc4-f192-4b8e-9663-e5f260df419b","year":2006},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.246944Z"},"links":{"citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:1510aaa49a195ade07fed8b09fa9463f97edf0d8f03f177b0cffe101a113bd06","observation_id":"90dab933-0f09-4dee-8c12-ff3e1d791526","resolution":{"observed_at":"2026-08-16T12:09:46.631825Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":6,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":9,"verified_exact":5,"verified_fuzzy":15},"total_outbound_references":36},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2504.13753."}