{"as_of":"2026-08-10T20:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ad9234b1b6f7346a0c20b55a6849bae0f78fd1b44951ad476e952a63a48baaf","coverage":[{"denominator":70,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":70,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T16:23:26.962085Z","state":"measured"},{"denominator":70,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":70,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2607.23667/citation-record","integrity":"/paper/2607.23667/integrity","json":"/paper/2607.23667/citation-record.json","paper":"/paper/2607.23667"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.mser.2004.06.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Materials Science and Engineering R Reports","work_id":"dd5e88ad-4191-4f1f-86cf-1447a1e59c67","year":2004},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.235060Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:1050bd997beabdf211b1d88d66d537c99d3a7497fe9b335c7e27b33a4d1366ee","observation_id":"bdc4ae3a-69ca-4062-a679-311d24c9e07a","resolution":{"observed_at":"2026-07-30T16:26:18.120239Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.245806Z","title":"Winkler, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.245806Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:2023775139710a0ceb44c1ff02bc043227ea67fc2abbff28c51681761715fe9d","observation_id":"de9e0e26-eb8f-48bf-bd36-ce6addb489a1","resolution":{"observed_at":"2026-07-30T16:23:26.245806Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/cr900170z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Krishnan, J","venue":"Chemical Reviews","work_id":"2bd6f2f4-c2be-46d0-85f7-0b90818eba83","year":2010},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.251997Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:db327b739838a1ff88b52166dbab398b586f34d821247eb32139dc4d9b3907ea","observation_id":"b7b13d50-f420-4f3e-9b4f-8323aafa2366","resolution":{"observed_at":"2026-07-30T16:26:17.841319Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10845-020-01639-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Intelligent Manufacturing","work_id":"428269f2-3bb4-4473-8855-bd01c1a93f70","year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.260550Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:ee873d12583370a27da9980b391256eab9b2c23c32ad62bfeb2d4722eb8ce91d","observation_id":"e14c844e-82a1-4725-8de6-0c7c0bf34ad6","resolution":{"observed_at":"2026-07-30T16:26:17.679662Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.268826Z","title":"Cheng, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.268826Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:3e33a3e5bb89819f7305db7ac4a0642f9e1feea1e53c809d55911575647283cd","observation_id":"e4d889d5-1d9c-4494-b8c9-a3638a3430a9","resolution":{"observed_at":"2026-07-30T16:23:26.268826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/2051-672x/ab1ca3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Surface Topography Metrology and Properties","work_id":"3b7ed5d3-9c1d-4ccd-b48e-ec81ea15505f","year":2019},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.276336Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:21902dcabe467b0fd2f8d356c066ce6e28324b63d8359c924a7dd815f9bc0545","observation_id":"b6bd9e70-2a27-4531-a8df-fc3d3659c218","resolution":{"observed_at":"2026-07-30T16:26:17.496714Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/icosc.2016","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:26:17.191888Z","title":null,"venue":null,"work_id":"18085eb0-aca2-4239-a3d0-e1e9dd8b9d17","year":2016},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.287751Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:5a3b90d09c3024273fbb645a408b4a49acba7ea304bab7216279716b3d91a958","observation_id":"e5fe2fb2-7855-42b5-aae5-d241e8cbba4a","resolution":{"observed_at":"2026-07-30T16:26:17.259991Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1149/2162-8777/abfc20","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"ECS Journal of Solid State Science and Technology","work_id":"d27be180-3eb9-49de-bc48-09dfd67e5836","year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.296455Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:47030c414d64707bf359edfe5a26db075e07e989537d5936abebae069a5965fb","observation_id":"d9448314-cfb9-4f35-a6ff-2b97620adc84","resolution":{"observed_at":"2026-07-30T16:26:17.055626Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.precisioneng","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:26:16.671218Z","title":null,"venue":null,"work_id":"4af2e1a5-ae48-4a78-8df1-036dfa990c5b","year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.304344Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:4127fcc1517d1e6bc71250bc1c0ddd40422c03790590c5e0cc3632b46c871894","observation_id":"fab16e05-5b19-4550-90e0-080ad299bc08","resolution":{"observed_at":"2026-07-30T16:26:16.799975Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.314961Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.314961Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:adbcd649d13bc8ddf550f1a79991b58acc7facd3f7cd24b645e96a3ae05cac55","observation_id":"5347074a-7a84-4ac7-8b0c-be37b3016984","resolution":{"observed_at":"2026-07-30T16:23:26.314961Z","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":"2026-07-30T16:23:26.322954Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.322954Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:bc94af116b72e766cf171a16b493382349a9698a677c6bd44e8ea5a1702e6094","observation_id":"81099e9d-f10b-4e73-b954-ac0e43cbe249","resolution":{"observed_at":"2026-07-30T16:23:26.322954Z","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":"2026-07-30T16:23:26.328747Z","title":"Berkooz, P","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.328747Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:e883ecaa06f7c09ebee1dcdd941623c3f1f04578e9af02157977c230e86147ef","observation_id":"fe4a2d0e-07b8-4a0a-ae9d-20321976fc78","resolution":{"observed_at":"2026-07-30T16:23:26.328747Z","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":"2026-07-30T16:23:26.337847Z","title":"Benner, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.337847Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:09ce803e6a8ef7dfc1a985db58dc0af7b5dc3df6d16e8370bae0fe9b327bd81e","observation_id":"256a1d4c-1d1c-4ae5-a08a-436908612197","resolution":{"observed_at":"2026-07-30T16:23:26.337847Z","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":"2026-07-30T16:23:26.345444Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.345444Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:e735020b4c5f8c22558be148ba7976f698e28da4bfb704b20a222f6c21247588","observation_id":"99711cc7-79dc-4ec8-9ece-a3b86c90d081","resolution":{"observed_at":"2026-07-30T16:23:26.345444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-09T22:48:35.566112Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-07-30T16:23:26.351463Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.351463Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:9b51e5a71237fb69ccf41a746f4d48c72af8c79a4db9e914b930d1760e1ff7e2","observation_id":"824c66d7-0a14-4b9e-b138-20dd2519886d","resolution":{"observed_at":"2026-07-30T16:23:26.351463Z","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":"2026-07-30T16:23:26.370460Z","title":"Farenga, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.370460Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:f8ac030fc2c4c2ab21d68945d1931f5491f3c3806b50064716afc924ac0a95b8","observation_id":"a6549861-22ed-48a7-b2b8-d6b01e73133a","resolution":{"observed_at":"2026-07-30T16:23:26.370460Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.380483Z","title":"Oommen, K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.380483Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:d11430ef3b4c68873158fd7386df64090c6a04e832071633fff2fe12ce415fbe","observation_id":"17dc4c81-3b09-44ef-ab06-4f185338fc9b","resolution":{"observed_at":"2026-07-30T16:23:26.380483Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02176","last_updated":"2024-10-21T15:37:16Z","snapshot_observed_at":"2026-07-06T18:25:05.750197Z","submitted_at":"2024-06-04T10:12:09Z","title":"AROMA: Preserving Spatial Structure for Latent PDE Modeling with Local Neural Fields","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02176","snapshot_observed_at":"2026-07-30T16:23:26.392137Z","title":"Serrano, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.392137Z"},"links":{"cited_paper":"/paper/2406.02176","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7a63a7fb59a3376175816c84f44f13e106f8afad56d5b57d33454b54945248f2","observation_id":"bec5bc38-e4d8-4e67-90a5-6fca86ea1913","resolution":{"observed_at":"2026-07-30T16:23:26.392137Z","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":"2026-07-30T16:23:26.401208Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.401208Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:36653416afab83ad5ea8bb848edb40cff8ec7c9830df637b7478ad3c79aac023","observation_id":"2b8667e5-f79a-4ad6-9d01-41294e14ee10","resolution":{"observed_at":"2026-07-30T16:23:26.401208Z","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":"2026-07-30T16:23:26.407095Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.407095Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:36dea484094f6cdfcd3d89760cdae2aaea3a920386748f6a7f8d78a16c311c3a","observation_id":"89c6f66e-b4e2-4398-a941-fd615bb06159","resolution":{"observed_at":"2026-07-30T16:23:26.407095Z","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":"2026-07-30T16:23:26.422169Z","title":"Bhattacharya, B","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.422169Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:6265cd68f56e3b44c74be018b9274b23751f392610beea7c6f3a9769ae805cd2","observation_id":"29b4179e-8333-4196-8ce7-fcf9a1051624","resolution":{"observed_at":"2026-07-30T16:23:26.422169Z","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":"2026-07-30T16:23:26.430707Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.430707Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:cf9dc5ce6c2c77ae95516cd383428492386bef0ad7e55ea7d18874326740a2b7","observation_id":"2ab8f235-bbca-4ef1-82b4-77dbb24cdb25","resolution":{"observed_at":"2026-07-30T16:23:26.430707Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imatrm/","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:26:16.453641Z","title":"Lanthaler, S","venue":null,"work_id":"5e70e2e3-672a-40e9-ad06-a24c1d15ba09","year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.437877Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:59bf771f5779035169ece0ca8c5aad62e18a2249c99d603eaf7afc3a05ab714e","observation_id":"35751115-8173-4c34-9dae-97c77f1f4d6b","resolution":{"observed_at":"2026-07-30T16:26:16.538508Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.08895","last_updated":"2021-05-17T03:12:33Z","snapshot_observed_at":"2026-07-06T10:05:26.653366Z","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":"2026-07-30T16:23:26.444191Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.444191Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:b61c10f9600d6e354c911b399029bd7f7e1616b83019c28ae745712e4a44d7a6","observation_id":"965fcf3f-edf5-40d3-a76d-ae2bbfa29915","resolution":{"observed_at":"2026-07-30T16:23:26.444191Z","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":"2026-07-30T16:23:26.450562Z","title":"Tripura, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.450562Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:95bc643a08777171c2dbb236275c08525407549b8fb1890721ca56fa1a681878","observation_id":"98a9c6c5-790a-49fd-a4d0-72bd984d456f","resolution":{"observed_at":"2026-07-30T16:23:26.450562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.14995","last_updated":"2021-11-01T15:43:32Z","snapshot_observed_at":"2026-08-09T22:20:42.411059Z","submitted_at":"2021-05-31T14:30:53Z","title":"Choose a Transformer: Fourier or Galerkin","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.14995","snapshot_observed_at":"2026-07-30T16:23:26.465102Z","title":"Cao, Choose a transformer: Fourier or galerkin, in: Advances in Neural Information Processing Sys- tems (NeurIPS), V ol","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.465102Z"},"links":{"cited_paper":"/paper/2105.14995","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:bf95d57b3a9e7e3d6c388fe4e73815a93c93619816320f991eeb164574253086","observation_id":"feaebdf0-189b-4f05-a14e-e93b1718a4b1","resolution":{"observed_at":"2026-07-30T16:23:26.465102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.14376","last_updated":"2023-06-14T12:26:03Z","snapshot_observed_at":"2026-08-10T05:39:33.162002Z","submitted_at":"2023-02-28T07:58:49Z","title":"GNOT: A General Neural Operator Transformer for Operator Learning","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.14376","snapshot_observed_at":"2026-07-30T16:23:26.472948Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.472948Z"},"links":{"cited_paper":"/paper/2302.14376","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:a9d6b46b20c2e3e202259cad4995253925834604e73d49c30c2b1ef52a32cb91","observation_id":"6dc53985-19d8-4434-ab0d-55d44ee5057e","resolution":{"observed_at":"2026-07-30T16:23:26.472948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.11127","last_updated":"2023-05-05T05:51:05Z","snapshot_observed_at":"2026-07-06T13:03:07.826337Z","submitted_at":"2022-04-23T19:18:44Z","title":"U-NO: U-shaped Neural Operators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.11127","snapshot_observed_at":"2026-07-30T16:23:26.483699Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.483699Z"},"links":{"cited_paper":"/paper/2204.11127","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:e7d76fe0f2f72ad268482074a580376263f64e83934016b8c49829d1ddefff2f","observation_id":"fc152d7d-1279-4cb9-b8f6-367f35098db8","resolution":{"observed_at":"2026-07-30T16:23:26.483699Z","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":"2026-07-30T16:23:26.494354Z","title":"Kontolati, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.494354Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:214f749a1c81ebbf53ec99700293ef5be240c1add1ed993b9dc230a67b4149fd","observation_id":"46e9a34a-9fe9-41ad-802a-439348b7445a","resolution":{"observed_at":"2026-07-30T16:23:26.494354Z","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":"2026-07-30T16:23:26.512024Z","title":"Mandl, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.512024Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7a73c04f3eaf13f628eee0cd293421ce25926707c94df7090b78cfb360af1396","observation_id":"48d51194-ee46-459f-86b4-c5815a4d55ff","resolution":{"observed_at":"2026-07-30T16:23:26.512024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.02313","last_updated":"2025-04-24T15:16:21Z","snapshot_observed_at":"2026-07-06T19:10:04.150678Z","submitted_at":"2024-09-03T21:56:13Z","title":"On the Benefits of Memory for Modeling Time-Dependent PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.02313","snapshot_observed_at":"2026-07-30T16:23:26.518519Z","title":"Buitrago Ruiz, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.518519Z"},"links":{"cited_paper":"/paper/2409.02313","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:e7e9e28043048e9e9b1f1f6e27b33847480105404be12bc6cd68929b8bcea6c9","observation_id":"70763b23-58af-4932-9b99-ce57393b2b5f","resolution":{"observed_at":"2026-07-30T16:23:26.518519Z","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":"2026-07-30T16:23:26.529018Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.529018Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:46d4bba97249290ca05b6120783b62a030b70983a98a42f74bf5b2562c66cbd9","observation_id":"20fddaf2-4414-40f0-8a91-0611b13b89b0","resolution":{"observed_at":"2026-07-30T16:23:26.529018Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.538984Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.538984Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:ef1368bb5aa38d3d56ed175d9dc8ba7e7a0090f9191835cc9200ab42043eabb4","observation_id":"ee3554d1-60b6-4908-8398-ba0ec0a620b8","resolution":{"observed_at":"2026-07-30T16:23:26.538984Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20721","last_updated":"2025-05-27T05:04:35Z","snapshot_observed_at":"2026-08-09T02:38:20.834665Z","submitted_at":"2025-05-27T05:04:35Z","title":"Recurrent Neural Operators: Stable Long-Term PDE Prediction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20721","snapshot_observed_at":"2026-07-30T16:23:26.545464Z","title":"Ye, C.-S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.545464Z"},"links":{"cited_paper":"/paper/2505.20721","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7ab209adf25ecf330935558d46a1f140c6951c1fc2caee7ef6202e4f8cd84f40","observation_id":"3c6eed9b-2d1c-47d0-9f2f-5c504fa6a5ba","resolution":{"observed_at":"2026-07-30T16:23:26.545464Z","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":"2026-08-09T23:32:10.303125Z","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":"2026-07-30T16:23:26.553830Z","title":"Brandstetter, D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.553830Z"},"links":{"cited_paper":"/paper/2202.03376","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:46f2936cbf758f1d00b97680f07bbd679c1ee7ff28c92998ddc6b93db332d676","observation_id":"810289f9-fbb4-48d5-9d80-196fe64d8e4e","resolution":{"observed_at":"2026-07-30T16:23:26.553830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.05732","last_updated":"2023-10-21T15:41:47Z","snapshot_observed_at":"2026-07-06T16:04:58.235073Z","submitted_at":"2023-08-10T17:53:05Z","title":"PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.05732","snapshot_observed_at":"2026-07-30T16:23:26.571003Z","title":"Lippe, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.571003Z"},"links":{"cited_paper":"/paper/2308.05732","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:4fac4aed506dbea2662742fd6545f8d61816d2a24cf83fd56647eeef28097c7b","observation_id":"6919013c-1a62-4826-86d1-7f3357592f43","resolution":{"observed_at":"2026-07-30T16:23:26.571003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13101","last_updated":"2024-06-18T23:25:14Z","snapshot_observed_at":"2026-08-09T15:15:16.716472Z","submitted_at":"2024-06-18T23:25:14Z","title":"On instabilities in neural network-based physics simulators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13101","snapshot_observed_at":"2026-07-30T16:23:26.588700Z","title":"Floryan, On instabilities in neural network-based physics simulators, arXiv preprint arXiv:2406.13101 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.588700Z"},"links":{"cited_paper":"/paper/2406.13101","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:605b6bb4ec34260fbf753f14121ba90b031a6567095e92c6373ee7d8c0dded54","observation_id":"6dc7aebd-b52a-4b62-9534-c85266d0f49e","resolution":{"observed_at":"2026-07-30T16:23:26.588700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.00016","last_updated":"2021-01-05T11:04:59Z","snapshot_observed_at":"2026-08-07T20:25:25.779018Z","submitted_at":"2020-06-30T18:00:03Z","title":"Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.00016","snapshot_observed_at":"2026-07-30T16:23:26.601831Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.601831Z"},"links":{"cited_paper":"/paper/2007.00016","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:ed60c322dde1da6dd2ccf487287ea255531e5b01b1b8d3b5fb8817be53936c69","observation_id":"843ea354-6b1d-4dd3-9ccf-f7164fb88e97","resolution":{"observed_at":"2026-07-30T16:23:26.601831Z","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":"2026-07-30T16:23:26.622253Z","title":"Clark Di Leoni, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.622253Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7c912f6e5236fcd14b5a3f29de51932614ae8d777ccea1b688796c2e000fb97e","observation_id":"287460f7-5403-4762-a2e1-1b5bfac9b161","resolution":{"observed_at":"2026-07-30T16:23:26.622253Z","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":"2026-07-30T16:23:26.632679Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.632679Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:ba47bc0648189d6d298e7bb108d6c0ac91c32cddda931e756c9dadfe4cd41109","observation_id":"7287d5d9-0bef-4936-a60a-161eda0f5ef7","resolution":{"observed_at":"2026-07-30T16:23:26.632679Z","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":"2026-07-30T16:23:26.645263Z","title":"Nayak, S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.645263Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:b39bbe97bc668e8155b1518c76e93af5591534ad9026eb2b4534baf0cf2fce3d","observation_id":"646c6473-c9d4-45b2-8cbc-c5381e996d9f","resolution":{"observed_at":"2026-07-30T16:23:26.645263Z","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":"2026-07-30T16:23:26.656957Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.656957Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:cfefc422d014ee85a75e0653886af8a3d072552735dd1672bffe50b4d1be65f1","observation_id":"e1aeeec8-cce3-44f1-a738-dc262da3198f","resolution":{"observed_at":"2026-07-30T16:23:26.656957Z","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":"2026-07-30T16:23:26.667374Z","title":"McGreivy, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.667374Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7f3877741f1b44a69365644dd8f57f3d4547ba96c9b24a7bd8d7f13d8c5de281","observation_id":"7f0bd6a0-230f-4deb-9951-227241739818","resolution":{"observed_at":"2026-07-30T16:23:26.667374Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.15101","last_updated":"2024-11-22T18:04:46Z","snapshot_observed_at":"2026-08-10T11:16:37.027736Z","submitted_at":"2024-11-22T18:04:46Z","title":"What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15101","snapshot_observed_at":"2026-07-30T16:23:26.679435Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.679435Z"},"links":{"cited_paper":"/paper/2411.15101","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:e8500490fdbb319db5611a9edb56361b5ba08822ebb4044daccbcdfa60bcc78c","observation_id":"86c72404-d19a-47f4-86f9-01606620f502","resolution":{"observed_at":"2026-07-30T16:23:26.679435Z","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":"2026-07-30T16:23:26.693035Z","title":"Koehler, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.693035Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:588679a31c9c5bd4b22edc601ed687d8b103af0e59869527011ed2283119ebe2","observation_id":"d94d051e-c8e5-4310-8491-8cdcd50d62c6","resolution":{"observed_at":"2026-07-30T16:23:26.693035Z","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":"2026-07-30T16:23:26.701896Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.701896Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:cada0d4010352490725270ebe6bc2d55c5b676364e27671ec37ee4be5a5aa494","observation_id":"3d1cec45-6efe-4e69-b1d3-b27683ed43bc","resolution":{"observed_at":"2026-07-30T16:23:26.701896Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.711047Z","title":"Westermann, B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.711047Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:422b4982669337b62decce96dcff0b42b97e1ae4f00377180299f14d657a9730","observation_id":"d8e28845-d695-41f8-95cb-75db849eb246","resolution":{"observed_at":"2026-07-30T16:23:26.711047Z","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":"2026-07-30T16:23:26.719177Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.719177Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:1376fa9dc3eb623e081e3309a076c74bce9c537b12ca2a0c4f2a91902030fd54","observation_id":"16b78abd-c41d-4b45-b1a2-f8474aa238b2","resolution":{"observed_at":"2026-07-30T16:23:26.719177Z","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":"2026-07-30T16:23:26.727634Z","title":null,"venue":null,"work_id":null,"year":1927},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.727634Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:16963ee26ff4d163869eeab1853edc981da75c5384f4f469d59a57d0f3db7fc2","observation_id":"c306a7f2-0cf9-4f11-9efa-5411fef32672","resolution":{"observed_at":"2026-07-30T16:23:26.727634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1149/2162-8777/accaa6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Borucki, Y","venue":"ECS Journal of Solid State Science and Technology","work_id":"905ef9de-5804-46b1-bc4b-c9c88635f3e5","year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.737617Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:68653612d056aab04239103c5326bcd1d7e25fa081f418ad5c3daa137df41c67","observation_id":"117a3a35-b5df-4c10-bb3d-4fe1adc229fe","resolution":{"observed_at":"2026-07-30T16:26:16.343545Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.744548Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.744548Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:2b20cfa56d1fd2322c15fe8d0d5a87540ef91c4d9cc4e8ad38d783eb19e74344","observation_id":"61f3e1a8-d936-494b-8236-fb9a5bc9149a","resolution":{"observed_at":"2026-07-30T16:23:26.744548Z","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":"2026-07-30T16:23:26.754275Z","title":"Schäfer, S","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.754275Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:9137219e2c91515fc1a66a487204e4dea1a93046bada90be2ecba1adb263b05f","observation_id":"9ad9f3c2-5eba-486e-b525-ed09d26ffc00","resolution":{"observed_at":"2026-07-30T16:23:26.754275Z","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":"2026-07-30T16:23:26.762987Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.762987Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:c50e994c1596110fe2067ca9ecf801abe6649fe4202fec3e599d8ce854047dd6","observation_id":"62c9e3da-25cc-4f63-b58c-4582184b92fe","resolution":{"observed_at":"2026-07-30T16:23:26.762987Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.779757Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.779757Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:bc8f6caa022143e5616e2d201c438d8db4d14a8e4382f494ebbb63859c58bf7c","observation_id":"7c97b922-d565-41fc-ba09-9ded8ff0656e","resolution":{"observed_at":"2026-07-30T16:23:26.779757Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.794163Z","title":"Lusch, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.794163Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:f7e0f762c63d04fcbb5c50bb7a7eb35f8f5bc4a70fffe2b61ff883964f227c52","observation_id":"c4934fd4-7707-411b-adb5-3e5a58a2f8a5","resolution":{"observed_at":"2026-07-30T16:23:26.794163Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.824960Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.824960Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:d355b2b3c8ce1fe42d205ba3664d0312bcb532f9c46402563dc1c6d62036cf22","observation_id":"3aa25b98-fc75-49fe-95f1-45d1c6624d3e","resolution":{"observed_at":"2026-07-30T16:23:26.824960Z","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":"2026-07-30T16:23:26.833680Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.833680Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:3735c836b1f0a440eaba046ae3a2b7d8ae7d2fe11cfa125bcbfb1feec618a58c","observation_id":"548b789a-8bd1-4cf1-b599-4ab45eec16dc","resolution":{"observed_at":"2026-07-30T16:23:26.833680Z","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":"2026-07-30T16:23:26.841015Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.841015Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:4420ec1cab5b4433154bd3224b6b8f05e536f4e5ee7dbcf5a7fdbf04f3e02541","observation_id":"cdf88450-b4b2-4a2b-896c-4bc5a105925a","resolution":{"observed_at":"2026-07-30T16:23:26.841015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.00396","last_updated":"2022-08-05T17:54:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-10-31T03:32:18Z","title":"Efficiently Modeling Long Sequences with Structured State Spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.00396","snapshot_observed_at":"2026-07-30T16:23:26.847042Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.847042Z"},"links":{"cited_paper":"/paper/2111.00396","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:40ac0c207f62a09f0291df337aba6adc96dc21fba2d4ec7d0983b01d0f5fc88c","observation_id":"af88ecc1-36ea-4075-9c42-cd6a578027af","resolution":{"observed_at":"2026-07-30T16:23:26.847042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.11893","last_updated":"2022-08-05T17:02:29Z","snapshot_observed_at":"2026-08-10T03:21:43.343827Z","submitted_at":"2022-06-23T17:58:39Z","title":"On the Parameterization and Initialization of Diagonal State Space Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.11893","snapshot_observed_at":"2026-07-30T16:23:26.854375Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.854375Z"},"links":{"cited_paper":"/paper/2206.11893","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:300f3e5f0d22976e4f044b22efbf3923987c277302777ee3b8fb024145377f45","observation_id":"a246eaec-4e7d-4219-b535-27b6a464e2e6","resolution":{"observed_at":"2026-07-30T16:23:26.854375Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00752","last_updated":"2024-05-31T17:55:27Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-12-01T18:01:34Z","title":"Mamba: Linear-Time Sequence Modeling with Selective State Spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00752","snapshot_observed_at":"2026-07-30T16:23:26.861031Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.861031Z"},"links":{"cited_paper":"/paper/2312.00752","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:08b9c32bd60315cbe605937d636231724499ee2778a7f2f8a0a686a9f3d60f73","observation_id":"e8602abe-0097-4db7-b42d-dc251d2a1cd3","resolution":{"observed_at":"2026-07-30T16:23:26.861031Z","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":"2026-07-30T16:23:26.872271Z","title":"Gu, Modeling sequences with structured state spaces, Ph.D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.872271Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:89b30e122b7239fd870c2b30b0b7fed1426c04fbe33c2173c236cb9545c20b16","observation_id":"20673838-1872-4ee0-9d63-6bd9dcfa63f8","resolution":{"observed_at":"2026-07-30T16:23:26.872271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.22891","last_updated":"2026-05-21T13:30:33Z","snapshot_observed_at":"2026-07-31T15:58:12.145086Z","submitted_at":"2026-05-21T13:30:33Z","title":"Pointwise Metrics Mislead: An Evaluation Protocol for Multimodal Inverse Problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.22891","snapshot_observed_at":"2026-07-30T16:23:26.880464Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.880464Z"},"links":{"cited_paper":"/paper/2605.22891","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:6b107959155008f7dfe30223a9ff571be9e92d4229e11660f0038014a48c55f0","observation_id":"e8034ad5-cef4-4da4-88cc-6d6e1b8b43cc","resolution":{"observed_at":"2026-07-30T16:23:26.880464Z","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":"2026-07-30T16:23:26.891589Z","title":"Gelman, E","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.891589Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:9b0b51f55f4a8637f427ac93b40b2957c9451590552155d3db58c0517f5a3884","observation_id":"214cc975-cfcc-4fd1-959a-0e4f0dedfc77","resolution":{"observed_at":"2026-07-30T16:23:26.891589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10444-026-10295-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Advances in Computational Mathematics","work_id":"8ece7e85-d87a-48d4-90ed-a2f885a51c4f","year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.899402Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:44627ee1cd6432b51c49284865f13bc703b34bfb811d0bb680dd6deb56cf334d","observation_id":"edc892f7-80c1-4227-8f9f-2f54e6c79254","resolution":{"observed_at":"2026-07-30T16:26:15.862644Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:23:26.907749Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.907749Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:7d3e68d63bf2cd3e016e97a251cc82d00d9f6168f87a0a458be1d668766535e7","observation_id":"19af3085-6401-4f9e-97ec-1ee320e33051","resolution":{"observed_at":"2026-07-30T16:23:26.907749Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00583","last_updated":"2023-09-01T16:59:21Z","snapshot_observed_at":"2026-08-10T02:22:41.164721Z","submitted_at":"2023-09-01T16:59:21Z","title":"Geometry-Informed Neural Operator for Large-Scale 3D PDEs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.00583","snapshot_observed_at":"2026-07-30T16:23:26.920415Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.920415Z"},"links":{"cited_paper":"/paper/2309.00583","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:97e3f2955d6b7575aa28f7994f98e33c796f41193527349c5993b39103036e44","observation_id":"c9e69991-a2a4-4636-a8cd-6ce0098def07","resolution":{"observed_at":"2026-07-30T16:23:26.920415Z","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":"2026-07-30T16:23:26.946122Z","title":"Peyvan, V","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.946122Z"},"links":{"citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:ba41c07d5b428601a9a4fce88ea31c3b43231127ba15839a47b89efeb504e4e8","observation_id":"814776fb-22ce-48d9-a113-eb54e7212441","resolution":{"observed_at":"2026-07-30T16:23:26.946122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.01536","last_updated":"2025-03-24T10:31:44Z","snapshot_observed_at":"2026-08-07T02:31:53.192338Z","submitted_at":"2024-08-02T18:48:58Z","title":"Active Learning for Neural PDE Solvers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.01536","snapshot_observed_at":"2026-07-30T16:23:26.954959Z","title":"Musekamp, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.954959Z"},"links":{"cited_paper":"/paper/2408.01536","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:4b3df9f7d6fd0f1c5eb0ee88e533bdbf6f021d1c5dd262c26580ff497590b6bd","observation_id":"9cc48219-df86-4c0b-8b00-1a9654e7495d","resolution":{"observed_at":"2026-07-30T16:23:26.954959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.05513","last_updated":"2025-06-05T18:54:26Z","snapshot_observed_at":"2026-08-09T16:48:36.566943Z","submitted_at":"2025-06-05T18:54:26Z","title":"Geometric and Physical Constraints Synergistically Enhance Neural PDE Surrogates","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05513","snapshot_observed_at":"2026-07-30T16:23:26.962085Z","title":"Huang, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.962085Z"},"links":{"cited_paper":"/paper/2506.05513","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:093c59ece29f94e382c97860857ef6f1ae6177479e45fa225d108de15a600e43","observation_id":"29c8536f-1f4f-4d50-a59e-e0f3dd713cba","resolution":{"observed_at":"2026-07-30T16:23:26.962085Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T14:03:08.676589Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study"},"reference_resolution":{"displayed":70,"state_counts":{"malformed_identifier":13,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":8,"verified_fuzzy":0},"total_outbound_references":70},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 0 inbound Pith citation observations for arXiv:2607.23667."}