{"as_of":"2026-08-18T13:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d03fa4d469974e2be6401f89bda3cf4b4d66095f43953781aad1c0bbfca57cef","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:42:32.027741Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.13463/citation-record","integrity":"/paper/2505.13463/integrity","json":"/paper/2505.13463/citation-record.json","paper":"/paper/2505.13463"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:33.116129Z","title":"Thermo-fluid dynamics of two-phase flow","venue":null,"work_id":"7699efa9-4e91-4362-94dc-f56e67e4aa5d","year":2010},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.705411Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:074d87772c88bc6cae846fd84d774dcc234ae161e4065c119e448778aea568b6","observation_id":"2dee3649-e6e1-4936-8887-0fdf549706e2","resolution":{"observed_at":"2026-08-16T00:42:33.121793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:33.089973Z","title":"Direct numerical simulations of gas–liquid multiphase flows","venue":null,"work_id":"a8cb815b-49da-4d07-afcf-564451e77512","year":2011},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.712445Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:72b59bd28738f796f77a002f682c7822946af9609078f2aa3c94d1ec1f999a8b","observation_id":"427ae9d1-0f85-41ae-8f80-ccefc60ccd92","resolution":{"observed_at":"2026-08-16T00:42:33.100030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:33.054368Z","title":"Computational methods for multiphase flow","venue":null,"work_id":"3c8aa2ab-8e98-4df1-8294-61f12041720a","year":2009},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.718653Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:0aa11c8d9e35171f019a90dc8e8e0397a146d8682ab1b0b574701c5a204861ea","observation_id":"7a7773ed-5d26-417c-9853-53a3e4c3861b","resolution":{"observed_at":"2026-08-16T00:42:33.062144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:33.023774Z","title":"A continuum method for modeling surface tension","venue":null,"work_id":"df2b69f6-bdb0-4815-ae4f-e70a558e5e3c","year":1992},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.726634Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:ea6a12c93a4f261ac6cae30c412d96ba56f9756e38b5270b5fc5b18d43300576","observation_id":"c542d5cb-719d-4352-8e35-c3d613451156","resolution":{"observed_at":"2026-08-16T00:42:33.032764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.982464Z","title":"V olume of fluid (vof) method for the dynamics of free boundaries.J","venue":null,"work_id":"eb2f9066-97ef-40a9-bb22-0edbf57d35eb","year":1981},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.732978Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:100cac9ce4b444a35cfe420e44bebb96e39dff370579fbba24afb4817895e06f","observation_id":"78509a45-c655-4d44-aa75-9f33efa70f07","resolution":{"observed_at":"2026-08-16T00:42:32.991719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.940027Z","title":"Direct numerical simulation of gas–liquid multiphase flows using the volume-of-fluid method","venue":null,"work_id":"b826c847-0ec8-4785-9f56-3dc39ec86b9f","year":1999},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.739641Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:32db61445ffa8f38dafa40e6df849103f7e01f75ed57ef5e2ea9e26a3e39ef1d","observation_id":"58d09e69-d1d5-44d7-b2a2-fd44ca45d003","resolution":{"observed_at":"2026-08-16T00:42:32.954313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.905090Z","title":"A front-tracking method for the computations of interfacial flows with sharp interfaces","venue":null,"work_id":"4cbba7a7-c5aa-417b-a4fa-8e0a8e745be6","year":2001},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.749736Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:7d7942f3f440542549c88268bc100a17eecfada0d18de73b885d260a07d314ca","observation_id":"9b55d8e2-b7ab-44a1-a4bd-23dfdc187d76","resolution":{"observed_at":"2026-08-16T00:42:32.912428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.880547Z","title":"A volume-tracking method for incompressible multifluid flows with large density variations","venue":null,"work_id":"8c51aad6-9ee6-4b28-85ee-e7f37686af81","year":1998},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.774227Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:a451dfe44aecc20a4765aed5417d23882c99da035a434ae29f32a9e4f01774bc","observation_id":"8a340630-7e7c-4bab-a2e5-8883f48ba889","resolution":{"observed_at":"2026-08-16T00:42:32.891481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.849273Z","title":"Gerris: a tree-based adaptive solver for the incompressible euler equations","venue":null,"work_id":"85ceca2e-6602-4b1f-9935-b3f2129e2dc6","year":2003},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.781531Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:d57cd084577fdc35d971b903d177571d68d2bff35a2ba3ce97fd7e008036209c","observation_id":"62d8a35d-5f00-4ffd-8e4a-52307d6792ee","resolution":{"observed_at":"2026-08-16T00:42:32.864299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.828417Z","title":"A new volume-of-fluid method in openfoam","venue":null,"work_id":"b25dcca1-2c26-4a6c-b525-e32d0c222a09","year":2017},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.789589Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:89a721b046c79d8ce9a4c8fa68a2969745b7c8835489ad3b8861b4b89c1f49aa","observation_id":"f1c36425-ae72-466d-ba80-bc8f4037b6d9","resolution":{"observed_at":"2026-08-16T00:42:32.833694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.780303Z","title":"Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear pdes","venue":null,"work_id":"a94d5165-a6a0-480a-b222-b43b7777f159","year":2019},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.795304Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:69260ef18cd132a8c4824a844305f24b111da099bf60f51239435dc7d792dd40","observation_id":"4ef85bcd-1ab7-45e9-b73e-1e6baf42763b","resolution":{"observed_at":"2026-08-16T00:42:32.791809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.754208Z","title":"Learning nonlinear operators via deeponet based on the universal approximation theorem","venue":null,"work_id":"0b5422c4-57c3-4535-831c-09bffff2aeef","year":2021},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.802160Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:cf5e21a13076d2c0ce2cc0c24ae4457c98cd5d86cb84b1c9b6dd5bfa0a01e316","observation_id":"27670695-f432-4ddd-8984-2a865d6c6169","resolution":{"observed_at":"2026-08-16T00:42:32.767773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.717112Z","title":"Neural operators for accelerating scientific simulations and design","venue":null,"work_id":"e77771fc-81ae-43b1-b89e-452f84c490a4","year":2024},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.808538Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:77f8b55ac65f35c79b4026461adfc63aca05de2f683b0deda01e3930198f4926","observation_id":"81deb765-6c40-4595-84f2-e6cf1e0b78c9","resolution":{"observed_at":"2026-08-16T00:42:32.723218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.08895","last_updated":"2021-05-17T03:12:33Z","snapshot_observed_at":"2026-08-14T20:53:04.124337Z","submitted_at":"2020-10-18T00:34:21Z","title":"Fourier Neural Operator for Parametric Partial Differential Equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.08895","snapshot_observed_at":"2026-08-16T00:42:31.818099Z","title":"Fourier neural operator for parametric partial differential equations","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.818099Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:ae3a7607d35c15d0c93109ffc93a598bd98b2d2e57ff9d6864b7c83461da19db","observation_id":"08974060-d4dc-49c7-b02e-77eebd19aa0d","resolution":{"observed_at":"2026-08-16T00:42:31.818099Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.12806","last_updated":"2021-03-23T19:25:18Z","snapshot_observed_at":"2026-08-16T18:36:50.990596Z","submitted_at":"2021-03-23T19:25:18Z","title":"FBMC Receiver Design and Analysis for Medium and Large Scale Antenna Systems","version":1},"cited_work":{"arxiv_id":"2103.12806","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.12806","snapshot_observed_at":"2026-08-16T00:42:32.282255Z","title":"FBMC Receiver Design and Analysis for Medium and Large Scale Antenna Systems","venue":"eess.SP","work_id":"30631f55-c03a-4699-ab8f-d14bf4eef9d7","year":2021},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.826690Z"},"links":{"cited_paper":"/paper/2103.12806","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:3116ad081d4f9631e3342c9ea7bd777c143c61dfd9792b6c7c18841f4ec8d3d4","observation_id":"5ccbec5f-a9ef-4cfb-a6ff-9a8a3e71afe1","resolution":{"observed_at":"2026-08-16T00:42:32.298608Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.693796Z","title":"Physics-based deep learning for fluid flow modeling","venue":null,"work_id":"2be2255b-dad4-4408-b3ba-643b0b035cea","year":2021},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.838323Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:1833da948e5b48a5554aa0d67e20a881743db2b7b6fce92f21bcf0187dbf6598","observation_id":"fb4313ed-1dd2-4e6d-aa53-f7bdb532c69a","resolution":{"observed_at":"2026-08-16T00:42:32.701007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.11214","last_updated":"2022-02-22T22:19:35Z","snapshot_observed_at":"2026-08-14T08:28:25.306803Z","submitted_at":"2022-02-22T22:19:35Z","title":"FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.11214","snapshot_observed_at":"2026-08-16T00:42:31.846863Z","title":"Fourcastnet: A global data-driven high-resolution weather model using adaptive fnos","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.846863Z"},"links":{"cited_paper":"/paper/2202.11214","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:a4c8ba97a34885d2f12cebe3ac5e44a7e3d91aef28b91f2c581bec532adb01dd","observation_id":"243d078d-d923-4002-9037-740fc1ce9326","resolution":{"observed_at":"2026-08-16T00:42:31.846863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.03376","last_updated":"2023-03-20T07:52:57Z","snapshot_observed_at":"2026-08-16T17:23:03.217520Z","submitted_at":"2022-02-07T17:47:46Z","title":"Message Passing Neural PDE Solvers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.03376","snapshot_observed_at":"2026-08-16T00:42:31.855221Z","title":"Message passing neural pde solvers","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.855221Z"},"links":{"cited_paper":"/paper/2202.03376","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:29d3933da38fe3d5b6fbd67fde60a7f66024271fa41da4303ff56b3301c55d08","observation_id":"20cb6d5e-f5a0-444b-a8f7-fb9949e0c55c","resolution":{"observed_at":"2026-08-16T00:42:31.855221Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.665507Z","title":"Turbulence modeling in the age of data","venue":null,"work_id":"f02be3ba-b46f-493d-a89d-a943fbaa71f3","year":2019},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.871471Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:ab9648a4e89afadbfb00f138018aca1d8d8e5a73b3d5da995b753e7bfd5ad304","observation_id":"b77b4851-c069-4960-b272-ea6a2e770769","resolution":{"observed_at":"2026-08-16T00:42:32.673974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.632407Z","title":"Numerical models of surface tension","venue":null,"work_id":"4e0bf512-4db0-4b44-bba8-9bd499082936","year":2018},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.881255Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:0a0f40aecc73320b43c2ba42b3fc4426d0dc75408ae38af16d81bdf2ae8268dd","observation_id":"2dd44ad6-bcba-4100-a745-9b0348f12bdc","resolution":{"observed_at":"2026-08-16T00:42:32.637379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.608863Z","title":"Enhancing computational fluid dynamics with machine learning","venue":null,"work_id":"8295517e-8864-4ef9-8b6e-dbda8e19b3ed","year":2022},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.892563Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:fec9b3a1fb3678b7a6537a156b9c859722308a76cbbc3c71f7081842afe88bbb","observation_id":"6a1ad84e-fc54-4cf2-a720-ac43fc9e8ff7","resolution":{"observed_at":"2026-08-16T00:42:32.618001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.582960Z","title":"Ai4s: Artificial intelligence for science","venue":null,"work_id":"f4b58822-88d6-4378-a89f-8ec5bc5e15fd","year":2021},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.898205Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:7e9be9bdea1ba04617826aac77671aae575e457e56bc081662cd9778f00fa305","observation_id":"0e95fd07-77b0-49c3-9104-44e489d973e9","resolution":{"observed_at":"2026-08-16T00:42:32.592211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.12109","last_updated":"2022-05-24T14:41:47Z","snapshot_observed_at":"2026-08-16T16:58:02.828689Z","submitted_at":"2022-05-24T14:41:47Z","title":"Federated singular value decomposition for high dimensional data","version":1},"cited_work":{"arxiv_id":"2205.12109","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.12109","snapshot_observed_at":"2026-08-16T00:42:32.140265Z","title":"Federated singular value decomposition for high dimensional data","venue":"cs.LG","work_id":"cdc1857e-c638-4141-bd32-efb84be9da0a","year":2022},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.906950Z"},"links":{"cited_paper":"/paper/2205.12109","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:563d5442dd30aa9ae7243704c8c59e7d8f318acdd1384b2841fa74624438f257","observation_id":"143cab5f-efdc-4145-866c-19b8043e8729","resolution":{"observed_at":"2026-08-16T00:42:32.151512Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.556307Z","title":"Validation of volume- of-fluid openfoam® isoadvector solvers using single bubble benchmarks","venue":null,"work_id":"e76b0ed2-3855-4feb-8e21-56907d8f9bc9","year":2020},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.924559Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:8bb935973bedf246798af262c02ca67135c84d783728c9617717b112f320a0bc","observation_id":"e5477c79-4cc0-40ad-a591-28c9fe09956b","resolution":{"observed_at":"2026-08-16T00:42:32.567797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.532212Z","title":"Openfoam: A c++ library for complex physics simulations","venue":null,"work_id":"abbe0544-2487-4f5b-81f0-089ad27edc21","year":2007},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.951789Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:e57742eafe97b2583027dfd88d3af43847505995f9dff319ae27f02ea806ee5b","observation_id":"bd35f27e-a7d9-4118-82a7-7a9b8c16fa52","resolution":{"observed_at":"2026-08-16T00:42:32.540342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.499356Z","title":"Accurate and efficient surface reconstruction from volume fraction data on general meshes","venue":null,"work_id":"0f1d343d-a7d9-4058-bf17-48bdd6f5ce3d","year":2019},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.963834Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:db81e4175f3087d4e2f3b8779b52a6428c5483720385e15d646d7ab7e4e924d6","observation_id":"b44c7b98-94c8-41e9-a3f6-5a4d7d39ec93","resolution":{"observed_at":"2026-08-16T00:42:32.509642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.460218Z","title":"A continuum method for modeling surface tension","venue":null,"work_id":"46f2efc6-adea-4188-a87f-cb5af89a879a","year":1992},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.972935Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:3623c63f76ab5b080c6a7d634538ce852e08440b952a74e097bf7c0898f58254","observation_id":"40326a02-f23a-444f-8a80-f9e95ee38e7f","resolution":{"observed_at":"2026-08-16T00:42:32.468887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.419078Z","title":"Cummins, Marianne M","venue":null,"work_id":"a83d147d-8be9-4e2e-97cb-8c1827be8044","year":2005},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.988462Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:7a6d996ab5c7f494c091a31f20ed645d93232b22877a4fc41b0c032bc6ee45c9","observation_id":"f778cce7-10b8-423f-b8cd-9739fd2fcad6","resolution":{"observed_at":"2026-08-16T00:42:32.435797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.383378Z","title":"A computational study of thermally induced secondary atomization in multicomponent droplets","venue":null,"work_id":"c3546d5a-fe78-4ac9-8313-ccd8f5dada85","year":2022},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:31.993654Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:a7b5f6a6351eb5ae6bb98bc08b4e8d0037a4f95ed3eb18a2a74b8b50dd10b056","observation_id":"5b3eb674-3d5e-42ce-9fbb-9221a5bab715","resolution":{"observed_at":"2026-08-16T00:42:32.396604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-08-17T19:26:44.032537Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-16T00:42:32.005559Z","title":"Adam: A method for stochastic optimization","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:32.005559Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:59106c21625fc59f33ff5b6fb7bdea6d60dd70be9017d8eb9ad6d253b7a28236","observation_id":"9eba83a9-6295-4418-85e2-98ddcb85771a","resolution":{"observed_at":"2026-08-16T00:42:32.005559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:42:32.350825Z","title":"Improved adam optimizer for deep neural networks","venue":null,"work_id":"c0522efe-3f88-4646-bcba-8cf96c5b5aa9","year":2018},"citing_paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T00:42:32.027741Z"},"links":{"citing_paper":"/paper/2505.13463"},"observation_digest":"sha256:ffe9889cc93e5086b8575dae007b5ab037c9b2e6990480ba6332db4ac0319346","observation_id":"882b2bb2-03f8-44e1-99b8-af261ff03ab2","resolution":{"observed_at":"2026-08-16T00:42:32.359003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.13463","last_updated":"2025-05-05T19:35:23Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T00:35:30.043776Z","submitted_at":"2025-05-05T19:35:23Z","title":"Predicting The Evolution of Interfaces with Fourier Neural Operators"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":25},"total_outbound_references":31},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.13463."}