{"as_of":"2026-08-08T16:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ba05a4e9207cca41cd2c4e7fb4de2322e319c3c60b3f703caf9e401b06686ccb","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T04:32:49.653159Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2602.04695/citation-record","integrity":"/paper/2602.04695/integrity","json":"/paper/2602.04695/citation-record.json","paper":"/paper/2602.04695"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.496225Z","title":", \" * write output.state after.block = add.period write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.496225Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:9cf3d0480d039cd619f9353f7d2093c0b54bc5165b394611d99dcd6c810ecc89","observation_id":"49cfd027-9f71-4776-9a0e-a6d717d34b53","resolution":{"observed_at":"2026-08-03T04:32:46.496225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.580164Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.580164Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:4c9b6af8ff19ca759f89eaab37a77892ca666fb7ddae8bdc5b5c792ae620b1cb","observation_id":"03da83c0-90ef-40fb-a7c4-5c82733def54","resolution":{"observed_at":"2026-08-03T04:32:46.580164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.658310Z","title":"In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition\\/","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.658310Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:fca204f8369130020450d7687352904770c2c6535dc69e9e3190a71996fcb9d4","observation_id":"d4598e67-5be9-4ad8-be91-1ab358052098","resolution":{"observed_at":"2026-08-03T04:32:46.658310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.736585Z","title":", Krahl, R","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.736585Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:98959d44e75e0d66a2719d7418ba78097196c4cd9d2f607630ced65b147ee48c","observation_id":"7a4fa946-6c2f-41ef-9e7a-2bdba4e5a583","resolution":{"observed_at":"2026-08-03T04:32:46.736585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.806394Z","title":"IEEE transactions on pattern analysis and machine intelligence 38 (2), 295--307","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.806394Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:b3b1fd21ce9647a234c63961f2c10f92b581114fbe4c94d1c36272d83a972aad","observation_id":"dc968885-da0a-40d3-a683-f1aee886359f","resolution":{"observed_at":"2026-08-03T04:32:46.806394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.874553Z","title":"Annual Review of Fluid Mechanics 51 (Volume 51, 2019), 357--377","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.874553Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:c7d4187f1acf3af0f7b65f9fcb33e5dd1ef229e3c73e9c932340cbb3b7b945ec","observation_id":"fc165920-2684-4592-a271-88f622a28ce4","resolution":{"observed_at":"2026-08-03T04:32:46.874553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:46.930482Z","title":"Computer Methods in Applied Mechanics and Engineering 433 , 117478","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:46.930482Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:7d86578f7f0a4ea61426eb8efc9772b9823175e7e406e7cd78a43d73f959603f","observation_id":"952a2838-b118-4358-abad-52a93b382b2f","resolution":{"observed_at":"2026-08-03T04:32:46.930482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.011582Z","title":"Journal of Fluid Mechanics 870 , 106–120","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.011582Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:9d772d1a397dd9cdc3261d11dfa9e2426fc78cf055182e2c2c19daaf4270951d","observation_id":"88a7238d-da10-4e22-ab8d-e1d547cde367","resolution":{"observed_at":"2026-08-03T04:32:47.011582Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.062863Z","title":"Journal of Fluid Mechanics 909 , A9","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.062863Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:0929d3b812eee681701bcb412eec0bbdc002ab5bd4acd47de9379a1d22995be1","observation_id":"27cc56e0-27d3-4e53-8d5f-5f31903a2dff","resolution":{"observed_at":"2026-08-03T04:32:47.062863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.096748Z","title":"Journal of Fluid Mechanics","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.096748Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:c511544f6b7fdf3493ba370f876ae04567d1390b37d9b0dbce947781da1b2fac","observation_id":"520c455a-0dab-47b0-aced-a880f335205f","resolution":{"observed_at":"2026-08-03T04:32:47.096748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.163905Z","title":"In International Conference on Machine Learning\\/","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.163905Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:10ad1f0aa893c3241c5fc45515553a561da1075b136ee9288f8e76659afe2720","observation_id":"fa74cf21-ba9e-435d-a92f-492e04b45366","resolution":{"observed_at":"2026-08-03T04:32:47.163905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.230844Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.230844Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:82be3b760698b9bf64ae69924d102233383bed8c27c174faf351d657128524b0","observation_id":"5a997354-8939-4be4-a08e-cf54a9b69cf3","resolution":{"observed_at":"2026-08-03T04:32:47.230844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.07741","last_updated":"2025-04-10T13:37:54Z","snapshot_observed_at":"2026-08-07T16:06:51.780507Z","submitted_at":"2025-04-10T13:37:54Z","title":"Harnessing Equivariance: Modeling Turbulence with Graph Neural Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.07741","snapshot_observed_at":"2026-08-03T04:32:47.314334Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.314334Z"},"links":{"cited_paper":"/paper/2504.07741","citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:2f03e9854e44966d56422688cbbf3df0c7c82616dd3c1eaa1a391334fb6656a4","observation_id":"8de34057-63df-4d4b-95f2-8fdce61177b7","resolution":{"observed_at":"2026-08-03T04:32:47.314334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.368478Z","title":"Journal of Turbulence 9 , 1--29","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.368478Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:7dd1aa79dd79c0ae4ed36f08959d828e3fd878a87aae599a30e229e87e0442fe","observation_id":"d7aaa00c-fb71-47cf-9ee4-5273a9be1905","resolution":{"observed_at":"2026-08-03T04:32:47.368478Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.375293Z","title":"Journal of Fluid Mechanics 807 , 155–166","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.375293Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:79394ff511d7d17ffe851094e7292d351bbef66e21202cb2445cd66a31f6d4de","observation_id":"289257c9-84f0-49e5-8418-4d59014a6b28","resolution":{"observed_at":"2026-08-03T04:32:47.375293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.497265Z","title":"Physics of Fluids 32 , 025105","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.497265Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:c1509b3bd08494160bd2e9a3ce1b16bd423bb9f666cbc65b06914c4c586eac90","observation_id":"fa3fdc78-df47-405c-9b0c-5133a1d50b2b","resolution":{"observed_at":"2026-08-03T04:32:47.497265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.620734Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.620734Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:7e2797b10818e666b969f257ea8bf8c316fff3c20570711dfc26e76f35171277","observation_id":"0bf790c6-ace2-43ef-87af-8647e6d6cbec","resolution":{"observed_at":"2026-08-03T04:32:47.620734Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.776945Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.776945Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:cb200e8db18c6c51f444e3dfc3954f0b1b29bb053e0146411b423766632522ed","observation_id":"cc62b34f-a969-4fa7-b0be-bb29dd0d1509","resolution":{"observed_at":"2026-08-03T04:32:47.776945Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:47.860676Z","title":"Journal of Fluid Mechanics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:47.860676Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:0b43f3f68d93130e2bf38b7d4c7523768fb6ec21d635ecba64fefb9d54ed89a9","observation_id":"8db23b96-0e8a-470d-9c3a-ef169784d093","resolution":{"observed_at":"2026-08-03T04:32:47.860676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:48.025646Z","title":"Computers & Fluids 275 , 106249","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:48.025646Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:d229cc8d5a7014c3b01123f433ae9e238bb5a64614ef99994d6d73dde221c74b","observation_id":"3a52326b-d07c-44b0-8cab-881161c9b787","resolution":{"observed_at":"2026-08-03T04:32:48.025646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:48.192938Z","title":"& Evans, John A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:48.192938Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:7c60a0ab9efb9f6856e48307d66a19ea29570c0a3e2b9500da92b11ebbfef473","observation_id":"1949037a-d692-45e3-a3c8-d55e90796cbe","resolution":{"observed_at":"2026-08-03T04:32:48.192938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:48.359545Z","title":", Perdikaris, P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:48.359545Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:62a57d4ff4d11cc2cf03ae5e8b5ccced089c51c85e5104ddacbc1088be293fe4","observation_id":"432d7b06-e94b-4b5e-88f1-01c4fc79436c","resolution":{"observed_at":"2026-08-03T04:32:48.359545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:48.620154Z","title":"Journal of Computational Physics 478 , 111972","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:48.620154Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:151ec63c8d2ecfe21b7dfc660d16abacf9c31b86a315783031008909fd5084cb","observation_id":"1389d9e6-91b4-414a-a9ec-f77ee04b580f","resolution":{"observed_at":"2026-08-03T04:32:48.620154Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:48.852761Z","title":"In Proceedings of the 41st International Conference on Machine Learning\\/ (ed","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:48.852761Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:17f1bb265096c4cec35b41792c9761da0245c22792672d177f5a23e4263e5511","observation_id":"da5634f7-45a9-4f24-adb8-6984196288c0","resolution":{"observed_at":"2026-08-03T04:32:48.852761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11969","last_updated":"2022-06-16T15:25:23Z","snapshot_observed_at":"2026-07-06T12:32:06.877009Z","submitted_at":"2022-01-28T07:31:28Z","title":"Approximately Equivariant Networks for Imperfectly Symmetric Dynamics","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.11969","snapshot_observed_at":"2026-08-03T04:32:49.022368Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:49.022368Z"},"links":{"cited_paper":"/paper/2201.11969","citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:9223cd60e8c6bdeb26cf72313a67df6ce40aaf18b60a14f88f521d6645d54bcd","observation_id":"4f4e721d-511f-4f34-a388-33ad7da49329","resolution":{"observed_at":"2026-08-03T04:32:49.022368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:49.230439Z","title":", Nair, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:49.230439Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:bf0f1473583a3392de638b775d6d08bae7dcfe9743b6aa1b8b3bf8cdf941b234","observation_id":"ceabdd67-d02c-40d9-a326-aca194f8e084","resolution":{"observed_at":"2026-08-03T04:32:49.230439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:49.420522Z","title":"In International Conference on Learning Representations\\/","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:49.420522Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:cec5b41685ebf6d447034ff144862e8e410b7989b1d5007b8e30b986d165ecff","observation_id":"d8e5b672-a6eb-4d1e-8a12-faf5c381ecbf","resolution":{"observed_at":"2026-08-03T04:32:49.420522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:49.522739Z","title":"APL Machine Learning","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:49.522739Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:4a3a2cdf31189d4dffea01c0bc2589ee31527a7548bc2235652af30e75eadf04","observation_id":"eb3b01d6-e7b0-4849-9387-087fa60f33d2","resolution":{"observed_at":"2026-08-03T04:32:49.522739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T04:32:49.653159Z","title":"IEEE Transactions on Computational Imaging 3 (1), 47--57","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks","version":3},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T04:32:49.653159Z"},"links":{"citing_paper":"/paper/2602.04695"},"observation_digest":"sha256:cb58415c0c02b274f78180d521ead2f7668f13e08d0169e56eb6c0c3a4f79f1b","observation_id":"0072894b-3001-47c6-a7bf-ffc1884a1e1e","resolution":{"observed_at":"2026-08-03T04:32:49.653159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.04695","last_updated":"2026-07-13T17:48:30Z","latest_version":3,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-06T11:48:04.349468Z","submitted_at":"2026-02-04T16:00:13Z","title":"Turbulence teaches equivariance to neural networks"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":29},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2602.04695."}