{"as_of":"2026-08-04T15:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:740c627d53b18c31564f3c5cf1a06027b5562b4465b42f08a4383d38dda53b85","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-15T21:40:24.181687Z","state":"measured"},{"denominator":89,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":89,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+00:00","state":"measured"},{"denominator":56,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T13:44:53.710746Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T06:15:00.866473Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-03T16:37:40.817483Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.12628","last_updated":"2026-07-10T05:49:59Z","snapshot_observed_at":"2026-08-03T16:37:30.218439Z","submitted_at":"2025-12-14T10:22:03Z","title":"Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-03T16:37:40.817483Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2512.12628"},"observation_digest":"sha256:9d54a8b4950561e44cee682850daa84b9d6539cd80740853e9d1fcbc576f0149","observation_id":"3d624941-595b-4634-8f17-8f59f3be554b","resolution":{"observed_at":"2026-08-03T16:37:40.817483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2512.14397","last_updated":"2026-05-07T15:02:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-12-16T13:35:45Z","title":"SuperWing: a comprehensive transonic wing dataset for data-driven aerodynamic design","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-16T21:49:07.072104Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2512.14397"},"observation_digest":"sha256:c0f14e745a85406244c77e3d80b519fab3a5772549f51b90453affb9313dd25e","observation_id":"0500a0ca-6002-4e87-9360-7807a96508bb","resolution":{"observed_at":"2026-05-16T21:51:17.841498Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-03T14:27:29.944876Z","title":"Transolver: A fast transformer solver for pdes on general geometries.arXiv preprint arXiv:2402.02366, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.20399","last_updated":"2026-06-22T17:26:18Z","snapshot_observed_at":"2026-08-03T14:27:29.434095Z","submitted_at":"2025-12-23T14:40:08Z","title":"GeoTransolver: Learning Physics on Irregular Domains Using Multi-scale Geometry Aware Physics Attention Transformer","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T14:27:29.944876Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2512.20399"},"observation_digest":"sha256:69f1a7f31ad35e4affb5b2211906a5a48fed0710f603932127184fb7a9ca3ac2","observation_id":"d5d40f79-f81f-4076-aa3f-d266aca3eca4","resolution":{"observed_at":"2026-08-03T14:27:29.944876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2601.03613","last_updated":"2026-05-20T16:35:35Z","snapshot_observed_at":"2026-08-02T19:27:53.235804Z","submitted_at":"2026-01-07T05:41:50Z","title":"A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-21T17:04:21.164340Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2601.03613"},"observation_digest":"sha256:33855e2d9ff78c544883c6c513d61f60a6acb6b4c3a8fafc6c0de623c3982f29","observation_id":"55fc6367-51b3-4e18-b356-ddab193586d9","resolution":{"observed_at":"2026-05-21T17:05:24.204963Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-03T05:22:13.002500Z","title":"Transolver: A fast transformer solver for pdes on general geometries.arXiv preprint arXiv:2402.02366,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.02788","last_updated":"2026-06-08T20:08:07Z","snapshot_observed_at":"2026-08-03T05:22:09.531006Z","submitted_at":"2026-02-02T20:45:07Z","title":"Structure-Preserving Learning Improves Geometry Generalization in Neural PDEs","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T05:22:13.002500Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2602.02788"},"observation_digest":"sha256:2357dc20256435fe1e3ea026e302b2e2636ccbbec81fac1d554a025042c9a75d","observation_id":"8c765c5b-6943-48e7-ad00-f6e0e779c592","resolution":{"observed_at":"2026-08-03T05:22:13.002500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-03T05:00:38.919854Z","title":"Tran- solver: A fast transformer solver for pdes on general geometries.arXiv preprint arXiv:2402.02366,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.03582","last_updated":"2026-05-28T14:16:58Z","snapshot_observed_at":"2026-08-03T05:00:33.921193Z","submitted_at":"2026-02-03T14:32:26Z","title":"Optimization and Generation in Aerodynamics Inverse Design","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T05:00:38.919854Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2602.03582"},"observation_digest":"sha256:80f3eadb8f5a2e08509f5e4bfc2b44e4076f9517e9ac5024b26f1c1bfc1bc48e","observation_id":"7d8a6248-76f9-4231-bca8-4a27e0d68fe8","resolution":{"observed_at":"2026-08-03T05:00:38.919854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-03T01:14:11.136966Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.11208","last_updated":"2026-05-29T06:37:21Z","snapshot_observed_at":"2026-08-03T06:43:48.278451Z","submitted_at":"2026-02-10T22:48:58Z","title":"Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T01:14:11.136966Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2602.11208"},"observation_digest":"sha256:90bbd37723fe191a9ab28cbd9f93f6afcf691aab98a9e70786777ebda13950d7","observation_id":"5309d45c-968e-438e-bd4e-63a8a999c32e","resolution":{"observed_at":"2026-08-03T01:14:11.136966Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2602.15472","last_updated":"2026-04-14T21:41:34Z","snapshot_observed_at":"2026-07-06T22:46:08.133603Z","submitted_at":"2026-02-17T10:20:46Z","title":"Fluids You Can Trust: Property-Preserving Operator Learning for Incompressible Flows","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-15T22:04:31.302031Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2602.15472"},"observation_digest":"sha256:2f6d254c0fce397077c0945d8a2887d009a1ca203437c3b2cbec338b31a1ded5","observation_id":"b80e7f43-4cad-487b-acae-172faa149a22","resolution":{"observed_at":"2026-05-15T22:06:43.412512Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2604.15617","last_updated":"2026-04-17T01:45:54Z","snapshot_observed_at":"2026-07-06T23:03:07.228701Z","submitted_at":"2026-04-17T01:45:54Z","title":"A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T08:06:31.690969Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2604.15617"},"observation_digest":"sha256:bb9c1cd753633a6fcb840f96f547ec06730cf0ce5331da14b20a691343e37440","observation_id":"db5ebf29-dd5d-45c0-ac30-c5cc60708c4d","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2604.16649","last_updated":"2026-04-17T19:11:27Z","snapshot_observed_at":"2026-08-03T04:36:59.469030Z","submitted_at":"2026-04-17T19:11:27Z","title":"FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-10T08:40:50.933336Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2604.16649"},"observation_digest":"sha256:6f57e963a8afed11164d244f52f488bd086a4d5026b5a2ae657ca2bc9ae08c31","observation_id":"6802b473-a3fa-4d20-a55a-8ec6fd43ff3d","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2604.18491","last_updated":"2026-04-27T17:38:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-04-20T16:42:35Z","title":"Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-10T05:42:41.806371Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2604.18491"},"observation_digest":"sha256:5f3256dbee25cca90b77dd12e4d413b6480c962353cb9e232b23829ee5d1aa01","observation_id":"a68e6e26-a63f-42eb-a493-ae0cc0e2a44b","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2604.21101","last_updated":"2026-04-28T15:18:28Z","snapshot_observed_at":"2026-07-30T06:32:03.769662Z","submitted_at":"2026-04-22T21:39:54Z","title":"A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-10T00:12:58.131638Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2604.21101"},"observation_digest":"sha256:152f91362afa48cc6590f6b8f4429e115c85309d2950a1557c4fc539b26ca38a","observation_id":"62b01f28-527d-4180-8528-d7efcbf2f805","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2604.25985","last_updated":"2026-04-28T17:08:25Z","snapshot_observed_at":"2026-08-02T14:31:27.993830Z","submitted_at":"2026-04-28T17:08:25Z","title":"Learning Neural Operator Surrogates for the Black Hole Accretion Code","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-07T15:28:38.494462Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2604.25985"},"observation_digest":"sha256:acfb63fe88668814ff93564fc5b32ad7b4fc01d37d04d036b974c5e4fbf00a03","observation_id":"461b177d-a3c3-4915-a7fa-bfb1e5b9986c","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.00062","last_updated":"2026-05-07T07:55:10Z","snapshot_observed_at":"2026-08-03T21:37:52.773151Z","submitted_at":"2026-04-30T06:43:30Z","title":"RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-09T20:38:39.281863Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.00062"},"observation_digest":"sha256:d79bc1b5c720ecb216124cbb66641d151bfd9e524cbca5ff2a0f57ac007f767b","observation_id":"7ccc42e9-247c-4baf-bb3d-c940707e01d5","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.03548","last_updated":"2026-05-15T03:22:41Z","snapshot_observed_at":"2026-07-06T23:16:25.301792Z","submitted_at":"2026-05-05T09:19:09Z","title":"PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-07T17:00:45.976926Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.03548"},"observation_digest":"sha256:27a70249f107cbc8839b299d1989936e728038d40de20ae1e558bbad6317ff82","observation_id":"74cb59b0-474e-4065-a236-4c0bb1fd326b","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.03548","last_updated":"2026-05-15T03:22:41Z","snapshot_observed_at":"2026-07-06T23:16:25.301792Z","submitted_at":"2026-05-05T09:19:09Z","title":"PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-19T16:51:24.624301Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.03548"},"observation_digest":"sha256:e9018203952ab58c47fd4e2e9a49dc7abd22cbd0d9c2123926a4a2a5f8dcea0b","observation_id":"57ec836d-ad4d-4512-a7e6-83d5f902597c","resolution":{"observed_at":"2026-05-19T16:52:39.762636Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.04832","last_updated":"2026-05-06T12:28:38Z","snapshot_observed_at":"2026-07-31T08:31:04.448646Z","submitted_at":"2026-05-06T12:28:38Z","title":"Replay-Based Continual Learning for Physics-Informed Neural Operators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-08T17:22:32.572495Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.04832"},"observation_digest":"sha256:58b04dc5af99d212af38fffc7d04b8a71b6ad9ce49525714282631a65797e280","observation_id":"4e8cc2fb-f904-4704-8693-b3c5aa86085c","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.05586","last_updated":"2026-05-07T02:11:26Z","snapshot_observed_at":"2026-07-06T23:18:12.631820Z","submitted_at":"2026-05-07T02:11:26Z","title":"AeroJEPA: Learning Semantic Latent Representations for Scalable 3D Aerodynamic Field Modeling","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-05-09T15:53:39.074115Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.05586"},"observation_digest":"sha256:1e0e150655f44355caf2016a6cf84280669095c7119f4d92090151ff89b87791","observation_id":"5432e30d-c047-4517-8399-1b5060d2979e","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.07098","last_updated":"2026-05-16T12:45:02Z","snapshot_observed_at":"2026-08-03T01:20:12.380053Z","submitted_at":"2026-05-08T01:28:12Z","title":"CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation","version":1},"reference_index":126,"source":"arxiv_source","source_observed_at":"2026-05-11T00:58:52.602708Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.07098"},"observation_digest":"sha256:e6f13e10cc920d26e388a2dc562ee5d445e60f0535819f70508f67c9abd97726","observation_id":"0aece515-d500-4bd9-8080-4a714ef1e728","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.07098","last_updated":"2026-05-16T12:45:02Z","snapshot_observed_at":"2026-08-03T01:20:12.380053Z","submitted_at":"2026-05-08T01:28:12Z","title":"CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-20T22:46:27.666052Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.07098"},"observation_digest":"sha256:bf144f1542b6696ec3478f80508cee5bbb61f7683cba0411128ea9ff3302d1a8","observation_id":"c9917555-d7e5-4641-90c7-6462b73a7e01","resolution":{"observed_at":"2026-05-20T22:49:10.483898Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.08436","last_updated":"2026-05-08T19:59:40Z","snapshot_observed_at":"2026-07-06T23:20:38.385189Z","submitted_at":"2026-05-08T19:59:40Z","title":"A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-12T02:09:01.875110Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.08436"},"observation_digest":"sha256:8cdef1484d6c2ac6393ec909d422ced3e73380e93b7c6bf410ed22178ef7e746","observation_id":"45604813-86fa-4b9a-92cf-fad8dd1ef0d0","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.08935","last_updated":"2026-06-02T09:05:25Z","snapshot_observed_at":"2026-07-06T23:21:06.773761Z","submitted_at":"2026-05-09T13:12:33Z","title":"PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting","version":1},"reference_index":156,"source":"arxiv_source","source_observed_at":"2026-05-12T03:27:14.464987Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.08935"},"observation_digest":"sha256:8d9cab132cde0f63e6097bcaf22ddd0863030b2c8c5f2c5ef73b2bcb2ee5ed2f","observation_id":"102b7eec-f7ba-4565-80af-04522c7496c4","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.08935","last_updated":"2026-06-02T09:05:25Z","snapshot_observed_at":"2026-07-06T23:21:06.773761Z","submitted_at":"2026-05-09T13:12:33Z","title":"PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting","version":2},"reference_index":156,"source":"arxiv_source","source_observed_at":"2026-05-14T21:21:32.256476Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.08935"},"observation_digest":"sha256:89a6c1a9571b2624e4c1fa003095977b90800da376f73a22007a7b9e4b758362","observation_id":"8d6732f7-53b5-4209-bd2c-4f858a45032f","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.09016","last_updated":"2026-05-09T15:55:02Z","snapshot_observed_at":"2026-07-06T23:21:11.475005Z","submitted_at":"2026-05-09T15:55:02Z","title":"CATO: Charted Attention for Neural PDE Operators","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-12T01:54:41.006685Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.09016"},"observation_digest":"sha256:b27435cec37f0caddb9b23350c8633577589d87cfff9c5ffe98b6848a7aca21f","observation_id":"436905ee-5bf5-4d5a-9aff-579d15707e1e","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.10451","last_updated":"2026-05-11T12:20:57Z","snapshot_observed_at":"2026-08-02T17:41:13.014171Z","submitted_at":"2026-05-11T12:20:57Z","title":"Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-12T04:26:28.481470Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.10451"},"observation_digest":"sha256:0c68296b53a3d92e24ea5076b22c3a200dd929ddcc1f17087ecebae5d84153c1","observation_id":"94d0b8d4-6680-4444-b09d-c9f9f22a7c21","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.11111","last_updated":"2026-05-11T18:20:10Z","snapshot_observed_at":"2026-07-06T23:23:02.025664Z","submitted_at":"2026-05-11T18:20:10Z","title":"ShardTensor: Domain Parallelism for Scientific Machine Learning","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-13T03:03:32.316700Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.11111"},"observation_digest":"sha256:92a5df08390bfebb6d7fbfafe8d20eddf4d90d113ce57da21da03a2418443e80","observation_id":"4199cf5d-028f-4a2f-8f39-7c5e26396177","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.12965","last_updated":"2026-05-13T04:00:43Z","snapshot_observed_at":"2026-08-03T02:08:49.875843Z","submitted_at":"2026-05-13T04:00:43Z","title":"U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-14T20:31:02.246184Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.12965"},"observation_digest":"sha256:70bfc128d9de3c45a50c74e821c5868a80b7b9dd5236a27c362e92794c260b17","observation_id":"0e4bc128-e70d-46a3-a9db-a81177abfc3e","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.13790","last_updated":"2026-05-13T17:11:07Z","snapshot_observed_at":"2026-07-06T23:25:21.032938Z","submitted_at":"2026-05-13T17:11:07Z","title":"Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-14T19:06:18.193097Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.13790"},"observation_digest":"sha256:1d347f9532a919cc98bddf53d96ddd058a8ff4f2b929eb1baa07522d0b5282fd","observation_id":"e7a83cd3-7ac4-4b6c-ad03-57bd440ee3ad","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.14546","last_updated":"2026-05-14T08:25:16Z","snapshot_observed_at":"2026-07-06T23:25:58.895612Z","submitted_at":"2026-05-14T08:25:16Z","title":"Discovering Physical Directions in Weight Space: Composing Neural PDE Experts","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-15T02:03:50.528627Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.14546"},"observation_digest":"sha256:0dd9a4663518e91a1dafd366420876ed27668ef840ea6d2b19e4c215fd4e05c9","observation_id":"0ba12c82-0da5-4dc3-822a-321f7dee2995","resolution":{"observed_at":"2026-05-15T21:40:24.369199Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.15231","last_updated":"2026-06-18T14:46:34Z","snapshot_observed_at":"2026-08-01T01:49:18.934773Z","submitted_at":"2026-05-13T18:04:58Z","title":"Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-19T16:39:18.108621Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.15231"},"observation_digest":"sha256:02ac55a0723ab6b2d4cfbcf96dc77cb9983464848b35312041921999a68229ed","observation_id":"6bea2543-2cd7-4ce5-850e-0a11462af80f","resolution":{"observed_at":"2026-05-19T16:42:39.812119Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.15231","last_updated":"2026-06-18T14:46:34Z","snapshot_observed_at":"2026-08-01T01:49:18.934773Z","submitted_at":"2026-05-13T18:04:58Z","title":"Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-30T21:33:49.474489Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.15231"},"observation_digest":"sha256:afc8696f134eb2cc752690eaf4bdeefc99f866a1a59ffd5f0468e74456759181","observation_id":"3ceefe71-2555-4860-99df-70d795c5bf1e","resolution":{"observed_at":"2026-06-30T21:35:04.206889Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.19565","last_updated":"2026-05-19T09:12:10Z","snapshot_observed_at":"2026-08-04T00:20:42.665773Z","submitted_at":"2026-05-19T09:12:10Z","title":"HiLiftAeroML: High-Fidelity Computational Fluid Dynamics Dataset for High-Lift Aircraft Aerodynamics","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-20T02:53:28.867588Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.19565"},"observation_digest":"sha256:9a3c0dc5ee178f45efe2f4a48effb78f5703b2a660b0e8eb1d04c5d20ca747ef","observation_id":"08bd7e64-df5e-4e78-9dc2-d4e54b080697","resolution":{"observed_at":"2026-05-20T02:58:00.414747Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.22182","last_updated":"2026-05-21T08:52:36Z","snapshot_observed_at":"2026-08-03T13:50:13.762252Z","submitted_at":"2026-05-21T08:52:36Z","title":"IKNO: Infinite-order Kernel Neural Operators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-22T07:45:45.251162Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.22182"},"observation_digest":"sha256:d4aeeb3cbe1e8a6563de4c11cd576368fe3b93e75a44f80cfa20875a35077b59","observation_id":"faa60af3-3fc6-4e30-ab01-aca4e235215c","resolution":{"observed_at":"2026-05-22T07:46:14.959998Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.24390","last_updated":"2026-05-23T04:21:20Z","snapshot_observed_at":"2026-07-29T19:08:40.287393Z","submitted_at":"2026-05-23T04:21:20Z","title":"Learning Laplacian Eigenspace with Mass-Aware Neural Operators on Point Clouds","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-30T14:50:49.368332Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.24390"},"observation_digest":"sha256:eadc3480f9673120090b705ba0543e0facfb70fb2b06345f0a7f444e5a84c563","observation_id":"bf0572a0-cdcc-4cd9-a6dd-99fd013f1a99","resolution":{"observed_at":"2026-06-30T14:54:45.509554Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.25115","last_updated":"2026-05-24T14:55:12Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:55:12Z","title":"Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-30T12:04:11.145829Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.25115"},"observation_digest":"sha256:3d86195b2da89bdba40fbf8db4e09d1074fffce2275d1a92e44b9cc8b61e5a0e","observation_id":"338e8451-6845-475a-97a1-3b542179b545","resolution":{"observed_at":"2026-06-30T12:04:38.623178Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.25679","last_updated":"2026-05-25T10:36:01Z","snapshot_observed_at":"2026-07-06T23:35:36.158984Z","submitted_at":"2026-05-25T10:36:01Z","title":"Transformer-based Neural Operators for 3D Wind Field Prediction over Complex Mountainous Terrain","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T20:40:25.138056Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.25679"},"observation_digest":"sha256:4b2f7d95eda59a1f08860f8b4c8bd1a3a2009a60db68b265452b679804640121","observation_id":"303b0045-f0b5-4678-8445-e3adbc2c3e2b","resolution":{"observed_at":"2026-06-29T21:03:59.241610Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.27758","last_updated":"2026-05-26T23:15:53Z","snapshot_observed_at":"2026-08-01T07:12:14.695755Z","submitted_at":"2026-05-26T23:15:53Z","title":"High-Fidelity Industrial Crash Dynamics Prediction via Geometry-Aware Operator Learning with Memory-Efficient Low-Rank Attention","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T18:06:55.696400Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.27758"},"observation_digest":"sha256:87ffd9bce5af08118d48a6a55129cbce5fc3648816f9822c84afd51ef8075ce0","observation_id":"dca5e308-4541-456e-9105-8818280bbd6c","resolution":{"observed_at":"2026-06-29T18:13:48.941107Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2605.31559","last_updated":"2026-05-29T17:22:19Z","snapshot_observed_at":"2026-07-06T23:40:42.277618Z","submitted_at":"2026-05-29T17:22:19Z","title":"Functional Attention: From Pairwise Affinities to Functional Correspondences","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T23:16:48.582093Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2605.31559"},"observation_digest":"sha256:75877ce08375b92b26241e62d65d1989f36393f8546d666bdb133962d77db004","observation_id":"03f0433c-5ac2-4214-815c-651f63fe7714","resolution":{"observed_at":"2026-06-29T00:02:50.326734Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2606.00892","last_updated":"2026-05-30T20:54:55Z","snapshot_observed_at":"2026-07-06T23:41:34.459700Z","submitted_at":"2026-05-30T20:54:55Z","title":"An Exploratory Study into using Machine-Learning for Fast Step-by-step Emulation of Numerical Mechanical Thrombectomy Simulations for Ischemic Stroke","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T18:51:21.673347Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.00892"},"observation_digest":"sha256:2f9fa5af42e513c54c0942fa1bb5ac977ea7691b228c118627b0ecc13a5b4926","observation_id":"6a781f25-d5e7-464c-aed5-0dc4b09c22af","resolution":{"observed_at":"2026-06-28T19:52:35.339887Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2606.03260","last_updated":"2026-06-02T07:23:06Z","snapshot_observed_at":"2026-08-03T02:25:23.001125Z","submitted_at":"2026-06-02T07:23:06Z","title":"EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-28T11:03:59.241935Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.03260"},"observation_digest":"sha256:0888d7ca8d068cdc9ac812e1b7e0f84f6a6194b5479ee7a4e034212ca0117bcc","observation_id":"4cf795d1-ac53-43c7-b25e-175749bcfb40","resolution":{"observed_at":"2026-07-02T02:16:26.952993Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2606.23251","last_updated":"2026-06-22T12:33:55Z","snapshot_observed_at":"2026-07-06T23:58:02.040198Z","submitted_at":"2026-06-22T12:33:55Z","title":"Attention mechanism for scalable mesh-based neural surrogates of free-surface fluids","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-26T06:10:09.472925Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.23251"},"observation_digest":"sha256:1be74ceb037bf688d7f4dde943880b1fb60ef7e7e3013098a9fba1b9c4d1487e","observation_id":"0f1287aa-624e-4b36-8010-4e421941af81","resolution":{"observed_at":"2026-06-26T06:19:03.890908Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2606.25075","last_updated":"2026-07-08T16:11:03Z","snapshot_observed_at":"2026-08-03T01:02:52.483046Z","submitted_at":"2026-06-23T18:32:42Z","title":"Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-25T22:26:06.511781Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.25075"},"observation_digest":"sha256:b70fa57cf196b1daaa05067915c84b0f5374f8dfb107d935d1a5fb7745a99a60","observation_id":"2accf909-8aa4-4da1-85e4-1c2073d2a8b5","resolution":{"observed_at":"2026-07-04T18:50:04.815591Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-12T12:24:12.887915Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.25075","last_updated":"2026-07-08T16:11:03Z","snapshot_observed_at":"2026-08-03T01:02:52.483046Z","submitted_at":"2026-06-23T18:32:42Z","title":"Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-12T12:24:12.887915Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.25075"},"observation_digest":"sha256:576e604dd6ff04b6e5a66236bd28cc5217ce9cbe3b3f4f0f74d50dc659107a4b","observation_id":"13863aaf-819a-4989-8707-20bb8a52fe4b","resolution":{"observed_at":"2026-07-12T12:24:12.887915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2606.31574","last_updated":"2026-06-30T12:33:06Z","snapshot_observed_at":"2026-08-02T15:45:33.336665Z","submitted_at":"2026-06-30T12:33:06Z","title":"Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-01T05:44:47.006590Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2606.31574"},"observation_digest":"sha256:b7faff841c9e08f9ca8285f1a6f84715cc45cca6f7c1086f2818ae52ff2fcd98","observation_id":"edec5438-2ba6-43fb-9b96-59ac7d76e2dd","resolution":{"observed_at":"2026-07-01T10:15:44.173001Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2607.00750","last_updated":"2026-07-01T10:34:21Z","snapshot_observed_at":"2026-07-07T00:06:25.004202Z","submitted_at":"2026-07-01T10:34:21Z","title":"LSR-Net: Long-Short-Range Operator Learning for Pattern Dynamics on Manifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-02T01:57:31.255596Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.00750"},"observation_digest":"sha256:340261d0f49a163ba643bfeb925e533cfe3c9db3715c1b7d0579a8eb57e10af0","observation_id":"fd3a5890-1427-4b82-9288-9af60d3320dd","resolution":{"observed_at":"2026-07-02T02:06:26.027796Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":"2402.02366","doi":"10.48550/arxiv.2402.02366","metadata_source":"pith","pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","venue":"cs.LG","work_id":"6e1590a5-364b-4844-a482-68eed5d3db92","year":2024},"citing_paper":{"arxiv_id":"2607.01128","last_updated":"2026-07-01T16:14:22Z","snapshot_observed_at":"2026-08-03T00:56:55.285629Z","submitted_at":"2026-07-01T16:14:22Z","title":"GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-02T15:33:33.670669Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.01128"},"observation_digest":"sha256:c9ecf836791e8c90ec70b3382a94e399144429e552ae480b1f59fa4d83d2cb9f","observation_id":"dd348479-6173-4d57-a4ec-d0d6222ad76b","resolution":{"observed_at":"2026-07-02T15:37:05.886807Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-14T16:12:09.687589Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09763","last_updated":"2026-07-07T01:29:09Z","snapshot_observed_at":"2026-07-16T23:18:00.777671Z","submitted_at":"2026-07-07T01:29:09Z","title":"Knowledge-Constrained Shape Optimization with a Mixture-of-Experts Neural Operator for High-Confidence Design","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T16:12:09.687589Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.09763"},"observation_digest":"sha256:f9e3ebe6fee898a707630eae1f634bcb50055eae404b512e1141d7805ebaa1be","observation_id":"30c3070e-9c8a-4066-928d-76bbb28b7b68","resolution":{"observed_at":"2026-07-14T16:12:09.687589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-14T12:34:40.550770Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.10333","last_updated":"2026-07-11T14:19:51Z","snapshot_observed_at":"2026-07-16T23:18:18.844503Z","submitted_at":"2026-07-11T14:19:51Z","title":"NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T12:34:40.550770Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.10333"},"observation_digest":"sha256:6187187cf9086ee34a0e5c9f772a6e4e6ada0b4b1de6c2abbce8c832a46f1fdc","observation_id":"eed52f8e-d5d3-412a-97ad-3d49c3decf63","resolution":{"observed_at":"2026-07-14T12:34:40.550770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-14T03:58:20.710039Z","title":"Transolver: A fast transformer solver for pdes on general geometries","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.11672","last_updated":"2026-07-13T15:13:41Z","snapshot_observed_at":"2026-08-03T06:43:47.320358Z","submitted_at":"2026-07-13T15:13:41Z","title":"A multi-scale feature enhanced graph neural network for fluid dynamics prediction in complex geometries","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-14T03:58:20.710039Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.11672"},"observation_digest":"sha256:055dead0d5eed7087df5a43e25aff067e1216ff32b5e80fff1573b50cf73b7d6","observation_id":"a4f9bcb1-716d-4bbb-a3e2-5c9369fdb235","resolution":{"observed_at":"2026-07-14T03:58:20.710039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-02T03:30:46.140539Z","title":"Zhou, H., Wu, H., Shangguan, H., Ma, Y., Weng, H., Wang, J., Long, M.,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13866","last_updated":"2026-07-15T14:12:30Z","snapshot_observed_at":"2026-08-03T06:43:49.884764Z","submitted_at":"2026-07-15T14:12:30Z","title":"Evaluation of State-of-the-Art Deep Learning Architectures for Aerodynamical Predictions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T03:30:46.140539Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.13866"},"observation_digest":"sha256:92629119bafacf141833f4980453280900d4563f451a844248c417db55e693c4","observation_id":"48ddc546-8f89-48d3-ba8d-3206fb17e582","resolution":{"observed_at":"2026-08-02T03:30:46.140539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-01T18:29:53.979698Z","title":"arXiv preprint arXiv:2402.02366 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17297","last_updated":"2026-07-19T15:27:47Z","snapshot_observed_at":"2026-08-02T15:00:23.875901Z","submitted_at":"2026-07-19T15:27:47Z","title":"Multi-Granularity Conformal Prediction for Reliable Neural-Operator Automotive Aerodynamic Surrogates","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T18:29:53.979698Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.17297"},"observation_digest":"sha256:d49e245895e780f18726aacee9015e9f3de63256eaaf47b7cf9e9739c170da3b","observation_id":"c33da1c8-bdb4-4cf3-b453-cf3e70ae1ab7","resolution":{"observed_at":"2026-08-01T18:29:53.979698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-01T16:25:00.726499Z","title":"Transolver: A fast transformer solver for pdes on general geometries.arXiv preprint arXiv:2402.02366,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18043","last_updated":"2026-07-20T15:12:09Z","snapshot_observed_at":"2026-08-03T04:29:37.277622Z","submitted_at":"2026-07-20T15:12:09Z","title":"Adaptive Mamba Neural Operators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T16:25:00.726499Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.18043"},"observation_digest":"sha256:40b8348ad4bc3e3db73ec52d893bd9d8f10a2732cdf2b8e38fdfa787540eafdd","observation_id":"59ebd0e4-41ff-4aae-8a2e-7147f9551414","resolution":{"observed_at":"2026-08-01T16:25:00.726499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-01T10:13:42.118654Z","title":"& Long, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.20321","last_updated":"2026-07-23T06:22:08Z","snapshot_observed_at":"2026-08-04T05:35:47.182175Z","submitted_at":"2026-07-22T16:07:09Z","title":"Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T10:13:42.118654Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.20321"},"observation_digest":"sha256:ff5382a05679edc03673a22efcd2c8de6652799b4cc9fde15a131b7701373605","observation_id":"92fcd808-4c2d-46f4-a7ce-92db74895487","resolution":{"observed_at":"2026-08-01T10:13:42.118654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-01T03:46:03.481953Z","title":"& Long, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23069","last_updated":"2026-07-25T06:35:11Z","snapshot_observed_at":"2026-08-01T03:46:01.231857Z","submitted_at":"2026-07-25T06:35:11Z","title":"Geometry-aware LegONet for PDE Learning on Arbitrary Domains","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T03:46:03.481953Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.23069"},"observation_digest":"sha256:98f0af884e9058e9aed23734a0e186f2536d38fc7309acead9a0cf15d0ed65c5","observation_id":"45059cc7-555e-48e0-8513-07df108234a6","resolution":{"observed_at":"2026-08-01T03:46:03.481953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-07-31T23:47:27.144007Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23337","last_updated":"2026-07-25T19:20:25Z","snapshot_observed_at":"2026-07-31T23:46:51.156795Z","submitted_at":"2026-07-25T19:20:25Z","title":"Neural operator discovery from heterogeneous trajectories","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T23:47:27.144007Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2607.23337"},"observation_digest":"sha256:4f3c4f4e2cb1443a9b09823fbdd6e58d0ae07bae2540e6df1905d6e16a99846d","observation_id":"03422007-51a9-40d7-855f-11b0ebab47c4","resolution":{"observed_at":"2026-07-31T23:47:27.144007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-04T13:44:53.710746Z","title":"arXiv preprint arXiv:2402.02366 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02151","last_updated":"2026-08-03T12:35:20Z","snapshot_observed_at":"2026-08-04T15:31:26.274732Z","submitted_at":"2026-08-03T12:35:20Z","title":"Fourier-Latent Diffusion for Constrained Generation of Triply Periodic Minimal Surfaces","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-04T13:44:53.710746Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2608.02151"},"observation_digest":"sha256:d7ff94b41edfac605287160742a7e88e41ad7d58d75c036a77812ce8e842b4bf","observation_id":"48216adb-3dbb-4a1c-8763-95948dc95c92","resolution":{"observed_at":"2026-08-04T13:44:53.710746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2402.02366/citation-record","integrity":"/paper/2402.02366/integrity","json":"/paper/2402.02366/citation-record.json","paper":"/paper/2402.02366"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2303.08774","last_updated":"2024-03-04T06:01:33Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-03-15T17:15:04Z","title":"GPT-4 Technical Report","version":6},"cited_work":{"arxiv_id":"2303.08774","doi":"10.1002/tea.20265","metadata_source":"pith","pith_arxiv_id":"2303.08774","snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"GPT-4 Technical Report","venue":"cs.CL","work_id":"b928e041-6991-4c08-8c81-0359e4097c7b","year":2023},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2303.08774","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:a59aeb2a1f39c49ca2b9b124fdca4a5b307be7b6a8ea293e247a20feed695273","observation_id":"fc5b8072-56c8-413b-876e-3bc29e0be26d","resolution":{"observed_at":"2026-05-15T21:40:24.212331Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1512.03012","last_updated":"2015-12-09T19:42:48Z","snapshot_observed_at":"2026-08-02T21:55:14.093687Z","submitted_at":"2015-12-09T19:42:48Z","title":"ShapeNet: An Information-Rich 3D Model Repository","version":1},"cited_work":{"arxiv_id":"1512.03012","doi":"10.1111/2041-210x.12301","metadata_source":"pith","pith_arxiv_id":"1512.03012","snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"ShapeNet: An Information-Rich 3D Model Repository","venue":"cs.GR","work_id":"b2ac5b60-daa9-435b-9369-12271e126edd","year":2015},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/1512.03012","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:a4a5bf77e05afc45b4e1daecdb5f80211c5061052b119cd03af5c882c2a801ee","observation_id":"2dcd594c-44c2-4fbe-9bae-350a2cfd5027","resolution":{"observed_at":"2026-05-15T21:40:24.219909Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.06174","last_updated":"2016-04-22T19:21:36Z","snapshot_observed_at":"2026-08-04T13:01:58.606241Z","submitted_at":"2016-04-21T04:15:27Z","title":"Training Deep Nets with Sublinear Memory Cost","version":2},"cited_work":{"arxiv_id":"1604.06174","doi":"10.48550/arxiv.1604.06174","metadata_source":"pith","pith_arxiv_id":"1604.06174","snapshot_observed_at":"2026-07-11T01:57:49.960653Z","title":"Training Deep Nets with Sublinear Memory Cost","venue":"cs.LG","work_id":"f2c5c287-a500-40e4-a136-e7e3172db1d7","year":2016},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/1604.06174","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:9f8e6b651be1dc5dd032a3070c1324fe813d9d2c3d924f44b5c6178824b405d5","observation_id":"4299a7e2-a014-46cd-ac2f-fdb93cdef0ee","resolution":{"observed_at":"2026-05-15T21:40:24.226720Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-05-21T12:26:33.666045+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-21T12:26:33.666045+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.03485","last_updated":"2020-03-07T01:56:20Z","snapshot_observed_at":"2026-08-03T02:26:02.483819Z","submitted_at":"2020-03-07T01:56:20Z","title":"Neural Operator: Graph Kernel Network for Partial Differential Equations","version":1},"cited_work":{"arxiv_id":"2003.03485","doi":"10.48550/arxiv.2003.03485","metadata_source":"pith","pith_arxiv_id":"2003.03485","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Neural Operator: Graph Kernel Network for Partial Differential Equations","venue":"cs.LG","work_id":"00a591bc-6cad-477c-be12-26d5623f625d","year":2020},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2003.03485","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:5b5eb401b1f0e69fd17f90ab988f17a414fe5876fc816b1bf3e5eb9694ab027e","observation_id":"d737c6a7-cabf-4ac6-811c-ff3fe99d3041","resolution":{"observed_at":"2026-05-15T21:40:24.233383Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-05-24T06:24:49.668532+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T06:24:49.668532+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00583","last_updated":"2023-09-01T16:59:21Z","snapshot_observed_at":"2026-07-06T16:13:23.343694Z","submitted_at":"2023-09-01T16:59:21Z","title":"Geometry-Informed Neural Operator for Large-Scale 3D PDEs","version":1},"cited_work":{"arxiv_id":"2309.00583","doi":"10.48550/arxiv.2309.00583","metadata_source":"arxiv_reference","pith_arxiv_id":"2309.00583","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Z., Liu, B., and Anandkumar, A","venue":null,"work_id":"b57f5179-2379-4048-b180-5c84d9a20a8a","year":2023},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2309.00583","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:8e1fe6d1f88e880c3e070cb7bc9cb67626cd56a0bbaa888f770c422a4c9d50dd","observation_id":"f5c00959-7148-45d5-bdf6-ca9e719cf03d","resolution":{"observed_at":"2026-05-15T21:40:24.240718Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.10890","last_updated":"2024-06-09T17:13:08Z","snapshot_observed_at":"2026-07-06T14:07:58.832663Z","submitted_at":"2022-10-19T21:09:29Z","title":"Mitigating spectral bias for the multiscale operator learning","version":3},"cited_work":{"arxiv_id":"2210.10890","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2210.10890","snapshot_observed_at":"2026-06-29T00:02:50.328921Z","title":"HT-net: Hierarchical transformer based operator learning model for multiscale PDEs","venue":null,"work_id":"be1433bd-36f1-4ab3-b4a2-149c6c22de97","year":null},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2210.10890","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:abb03f712bdbf7cd96ef136ad4ea96022f38414cdba342dbef498375f0b155f2","observation_id":"540743c8-8cc1-49e7-b80e-785d3058b861","resolution":{"observed_at":"2026-05-15T21:40:24.248141Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.09792","last_updated":"2022-01-24T16:42:56Z","snapshot_observed_at":"2026-07-06T12:30:44.981333Z","submitted_at":"2022-01-24T16:42:56Z","title":"Patches Are All You Need?","version":1},"cited_work":{"arxiv_id":"2201.09792","doi":"10.48550/arxiv.2201.09792","metadata_source":"arxiv_reference","pith_arxiv_id":"2201.09792","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Patches are all you need?","venue":null,"work_id":"347a8a73-bc53-40ee-9c2d-e1eef6bbb3a4","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2201.09792","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:e76183edbefe954a06ba762be49a2fc6163bd9922fd1c08907c87487ae91880a","observation_id":"20478363-bebc-4e87-8c8d-4abaad50a44f","resolution":{"observed_at":"2026-05-15T21:40:24.255026Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08275","last_updated":"2024-04-26T00:26:44Z","snapshot_observed_at":"2026-07-06T15:27:02.376191Z","submitted_at":"2023-05-14T23:14:09Z","title":"ULIP-2: Towards Scalable Multimodal Pre-training for 3D Understanding","version":4},"cited_work":{"arxiv_id":"2305.08275","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.08275","snapshot_observed_at":"2026-06-29T08:53:15.660382Z","title":"C., and Savarese, S","venue":null,"work_id":"7c85c748-c83c-4275-bdae-ad52e03f2024","year":2024},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"cited_paper":"/paper/2305.08275","citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:6dd286b216bfa94cf7cca640ec422f1b12a290d760e50fcbd4866d70c85abfaf","observation_id":"41b95caa-6255-4b23-8ecd-ea09521ba09c","resolution":{"observed_at":"2026-05-15T21:40:24.261679Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4b21dedb-576d-4a98-93ea-55c86c8164b5","year":2021},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:04b927468181a120426b86bd18ab270259c79e6fc262bf3de3bdacb4e8fe74a2","observation_id":"36cb8ae5-3b78-4da6-9ecd-20c980594abe","resolution":{"observed_at":"2026-05-15T21:40:24.266434Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"97e5e5c9-7142-483a-a5ef-0a708bb09fdc","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:0d44ce6dd467c7eb4c94b6f38f8af2728ea8ddf9b69033d6d41e8680c8be2b76","observation_id":"4031c94b-d3c8-4593-9867-427a1272e6f3","resolution":{"observed_at":"2026-05-15T21:40:24.270380Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"#Mesh records the size of discretized meshes","venue":null,"work_id":"8455e5b7-1f5b-4ec6-8d19-38bdbcc82020","year":2024},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:bbdd37cd5acf0d29c5d970d287a72c84f674a83b126d1282b1ab0116571b1219","observation_id":"38681cfc-3704-4247-bdbd-a21eaf5c2b2a","resolution":{"observed_at":"2026-05-15T21:40:24.274699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"• Navier-Stokes equations for fluid(McLean, 2012): Airfoil, Pipe, Navier-Stokes, Shape-Net Car and AirfRANS","venue":null,"work_id":"3d3bcbf6-b5d4-408b-a547-049ae1402535","year":1973},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:6d891aaf842228809b05583f9c187fa107eebb944f724682df4691c98c8a3f64","observation_id":"3d0958ed-b526-46a6-87a4-c24eec1e5ef2","resolution":{"observed_at":"2026-05-15T21:40:24.279413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Plasticity This benchmark is to predict the future deformation of the plasticity material under the impact from above by an arbitrary-shaped die (Li et al., 2022)","venue":null,"work_id":"c5dbf757-6aba-4e58-af00-3c08e3764cdc","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:f70a69f74d9a3c6051206e2d687bc502e044e1c39466d3ff8dfbf863b1e8ae53","observation_id":"07b81282-afb7-4a70-8699-4bfc7d92e61d","resolution":{"observed_at":"2026-05-15T21:40:24.284211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Experimentally, 900 samples with different die shapes are used for model training and 80 new samples are for test","venue":null,"work_id":"7006f02f-d15c-4ea0-9cab-164cf8b623c5","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:0514c2d1a8ccc6454e4840a343f3ad5b8a1409584030383d53112be8e6e5f0f9","observation_id":"4a3558f0-f0ba-48e0-8085-79b239f85a47","resolution":{"observed_at":"2026-05-15T21:40:24.288749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Navier-Stokes This benchmark is to model the incompressible and viscous flow on a unit torus, where the fluid density is constant and viscosity is set as 10−5 (Li et al., 2021)","venue":null,"work_id":"5c43e83a-e235-408d-87a5-1a9c536d1b61","year":2021},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:5b85bffae34d8c71473d1cc37630b3218befae482c988ec48eda464b2c55e73c","observation_id":"06babbd9-edc3-4118-919b-620fcd5dcb6a","resolution":{"observed_at":"2026-05-15T21:40:24.293336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"As for the lift coefficient of AirfRANS,bi is set as (0, 0, −1)","venue":null,"work_id":"2350d38e-8810-4096-958f-976d9ffa816a","year":1961},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:2f156aa3aa0dc82ba459d2b7197cc9bdfa7b846471f89059c193bef44e674281","observation_id":"cd386d84-cc60-4fa6-bed5-629cfff3b46c","resolution":{"observed_at":"2026-05-15T21:40:24.297636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Especially, we configure Project() in Eq","venue":null,"work_id":"0393a1b6-f85d-4457-bc32-5c037d23d651","year":2021},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:8455a2dccddcebf91be887c034dd807136afd624867188787a1495bd92e3b754","observation_id":"a80056eb-7ca8-47d9-82a8-d1a222d6d653","resolution":{"observed_at":"2026-05-15T21:40:24.301892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Training configurations are directly from previous works without extra tuning (Bonnet et al., 2022; Hao et al., 2023; Deng et al., 2024)","venue":null,"work_id":"b0d63e0d-a315-4266-a2e5-76ca2fef6d44","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:0cdbbc2ba6b7a4f335e5ddf8f6c8289ea825851a86df3946facee3d58c595477","observation_id":"e2e7e7f0-8478-4e57-977b-1bf140e32919","resolution":{"observed_at":"2026-05-15T21:40:24.306945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Experimentally, we found that ONO (Xiao et al","venue":null,"work_id":"eaf5694a-cabb-4bf7-951a-2f2430dee263","year":2020},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:7529eaa1fe8e61871479385506a7e605ea3d5d733c65a46d5fd275a0d563a764","observation_id":"ef560da5-5c98-4eef-b202-17e3904d3071","resolution":{"observed_at":"2026-05-15T21:40:24.311544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0d32f800-8389-4bf6-af0a-61c2e22fc153","year":2017},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:9c4f5b61327a0aa34c59efe51e01ff68ce34d3b6c268171d8567da07b31eeb70","observation_id":"066f30e4-9fef-485f-80b0-7db71563a493","resolution":{"observed_at":"2026-05-15T21:40:24.315627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"As for GNO (Li et al., 2020a) and 3D-GeoCA (Deng et al., 2024), we adopt the official code base of 3D-GeoCA","venue":null,"work_id":"43164a70-6071-4230-8437-a29478fcce15","year":2022},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:10d42dbc200b207a369fce7ab8aff8dd2dba26b290dffbe90cbb8955daca44c4","observation_id":"6ed2436a-5612-4ca3-8d81-ef686bd1dc57","resolution":{"observed_at":"2026-05-15T21:40:24.319921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"39ec0368-8b38-4326-aecf-6a00405ffc84","year":2017},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:8ae4129a4e05027235382f3c0fc0be564e2c2f17b8a9bb9fea96e4130cf693e8","observation_id":"64a5d147-850a-4bb1-88d5-eec4e68bfd8b","resolution":{"observed_at":"2026-05-15T21:40:24.323972Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"40cdf055-ad37-4a3d-9dfc-10ef1658862b","year":2016},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:6b3867d15b5fd58f55cdfde946d37dffe7bf642554ca7f2a672bd4a100a169e0","observation_id":"1bcb087d-d722-4296-8884-332eb0e4159c","resolution":{"observed_at":"2026-05-15T21:40:24.327886Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f0f71473-65bf-4cf3-903c-b8f94934711f","year":2021},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:0dd858fe15c63442fcbac5869bff193d5beb97d989695b081c33f470c7bb898d","observation_id":"fd780a9b-ad81-4279-a8d8-b96c90f2cfb6","resolution":{"observed_at":"2026-05-15T21:40:24.331413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Here, GNOT fails in predicting the future deformation of Plasticity","venue":null,"work_id":"f80911d2-721c-4e32-8ff8-b4df771f8ef5","year":2023},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:7003bce960b3bf2a8b881930639bfe84f1afea5ad20ff1d357bec3ed6825c5ee","observation_id":"dd233a4d-5845-477b-91d7-d08f5494c151","resolution":{"observed_at":"2026-05-15T21:40:24.335076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"This means that we can set the number of slices M at will, regardless of the exact division restriction","venue":null,"work_id":"5c09a6ce-3037-4dfc-93ca-dcb78c14305e","year":2015},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:ad199ec7657a4cd0e91373f01f5479146310d7027188dae081630d194dd1ee62","observation_id":"b2f1e5a4-b20e-4d8a-be18-1d5ff1da00a3","resolution":{"observed_at":"2026-05-15T21:40:24.339258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c166720c-9402-4352-a7d4-b5b28394ea0a","year":2021},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:11368358e2da58a23b2e040955be2501bc58694b74cc4ac9cda99f7ca0fa3137","observation_id":"83493df7-de17-4026-8868-d518e40efff1","resolution":{"observed_at":"2026-05-15T21:40:24.343344Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a8b42cb7-5873-4604-aba5-a3361b7ea935","year":2020},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:7194f0e68a069e486b9b77e95e10b469b31b07aad33d944feea83af5dbedc5ff","observation_id":"f86b925a-3fd2-4fca-b7a3-4ff6033854f9","resolution":{"observed_at":"2026-05-15T21:40:24.347229Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Apply to Lagrangian Settings In the main text, we follow the convention of previous neural operators (Li et al., 2021; Wu et al","venue":null,"work_id":"5e752fe3-c218-4200-852b-dbe79a9ff93a","year":2023},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:9e85dfa30f9b246fa5f3b9fcdf3c30003ec311cc47b16de53cd427eb29e271aa","observation_id":"17d084ea-6e6c-485b-8191-26a3703cc6dd","resolution":{"observed_at":"2026-05-15T21:40:24.351192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"There is another branch of tasks, named Lagrangian settings, which simulates the dynamics system (e.g","venue":null,"work_id":"23d78d9e-e664-4837-ab65-ede0e945648b","year":2020},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:f7e18aa046b8c062e198b64862942bde04c17a346e19aea7898000859e428e66","observation_id":"8c6cba56-22ee-4993-850d-c7ca263d5fca","resolution":{"observed_at":"2026-05-15T21:40:24.355185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Efficiency is evaluated on inputs of different meshes during training","venue":null,"work_id":"8fc1e4d7-a6cc-40f3-915a-324d4355865a","year":2048},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:3c1b3d1a565190853e654ba7d566eecc7e734ea6775a76c92647da2875ea4d16","observation_id":"5efe5e3f-adcd-471e-8227-896bc7ad07ec","resolution":{"observed_at":"2026-05-15T21:40:24.359486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ade61fd4-f585-473a-abdb-470c9f34f3b5","year":2048},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:53001fd06c22597c95ed7cb9c1a3a99a5b3d462f66bc047acd9a3bb052048bc2","observation_id":"dc3f49b4-d6de-427e-b801-a2421e460c24","resolution":{"observed_at":"2026-05-15T21:40:24.363469Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"245a405c-406d-4790-b7e3-c86fbaae810d","year":2048},"citing_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-15T21:40:24.181687Z"},"links":{"citing_paper":"/paper/2402.02366"},"observation_digest":"sha256:1ef9fb7f5c4d39b1923696a1e9abc659b645e2b3b50ced423ac39b013b598f95","observation_id":"87e4c4d7-67cf-4392-b0ea-6cc6c59d3aff","resolution":{"observed_at":"2026-05-15T21:40:24.367784Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-02T06:48:35.071514Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":1,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":9,"verified_exact":6,"verified_fuzzy":15},"total_outbound_references":33},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 56 inbound Pith citation observations for arXiv:2402.02366."}