{"as_of":"2026-08-11T17:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dfe2261187077ff787cb75b57a64cb8c97759f171bd6881b68d5b8b8a2f34daf","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T20:56:19.946012Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T03:07:34.485516Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-08-08T20:56:19.946012Z","title":"Flexibil ity of two-dimensional euler ﬂows with integrable vorticity","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04982","last_updated":"2025-02-17T09:22:02Z","snapshot_observed_at":"2026-08-10T00:23:41.438008Z","submitted_at":"2025-02-07T15:00:04Z","title":"On the well-posedness of (nonlinear) rough continuity equations","version":2},"reference_index":1992,"source":"pdf_text","source_observed_at":"2026-08-08T20:56:19.946012Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2502.04982"},"observation_digest":"sha256:6ee8c23a2bacb927e319287724728f77da2812216ec8266ad36644d4ec855a95","observation_id":"0bb3c501-845b-4ddc-bb8f-a4618c34b7a6","resolution":{"observed_at":"2026-08-08T20:56:19.946012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-08-07T18:46:50.784806Z","title":"Bru` e, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.10274","last_updated":"2025-02-14T16:32:20Z","snapshot_observed_at":"2026-08-10T21:06:17.895741Z","submitted_at":"2025-02-14T16:32:20Z","title":"Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T18:46:50.784806Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2502.10274"},"observation_digest":"sha256:b433e4699e77ea6fb15a71df0372475eaf176292c525e07b9928489af76c0459","observation_id":"bca951ea-fe0b-4d52-bac0-b7c7fa80c07f","resolution":{"observed_at":"2026-08-07T18:46:50.784806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-08-06T19:56:31.889988Z","title":"arXiv:2408.07934","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05059","last_updated":"2026-07-22T03:18:43Z","snapshot_observed_at":"2026-08-09T08:39:04.630026Z","submitted_at":"2025-07-07T14:45:28Z","title":"Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:56:31.889988Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2507.05059"},"observation_digest":"sha256:11e1f8f8b248d25e6c3489577811704a5b67ff49a3e5c299364ba723b1881b6d","observation_id":"ac936ce7-e4d0-475d-96fe-67b8e6b0bd6d","resolution":{"observed_at":"2026-08-06T19:56:31.889988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2508.01440","last_updated":"2026-05-13T20:25:12Z","snapshot_observed_at":"2026-07-06T22:06:48.261470Z","submitted_at":"2025-08-02T17:02:32Z","title":"Dissipation concentration in two-dimensional fluids","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-19T01:36:15.555497Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2508.01440"},"observation_digest":"sha256:4222cff56cf3191e91af7f3e1d99e2bf4a73d6bec00911a7dbc706ff95e30dd9","observation_id":"b96f9c03-c049-4c99-8809-d8345086c74a","resolution":{"observed_at":"2026-05-19T01:36:57.822038Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-08-04T21:30:18.089076Z","title":"Bru` e, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08168","last_updated":"2025-09-09T22:11:10Z","snapshot_observed_at":"2026-08-10T00:22:58.271291Z","submitted_at":"2025-09-09T22:11:10Z","title":"Pathological solutions of Navier-Stokes equations on $\\mathbb{T}^2$ with gradients in Hardy spaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T21:30:18.089076Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2509.08168"},"observation_digest":"sha256:93aa8825c4b532644b9c27b663cdec0485aee1269c26429c0aae5551a018faab","observation_id":"fbc87dcd-fd6c-40a5-b299-46d2caa3eb3a","resolution":{"observed_at":"2026-08-04T21:30:18.089076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2604.14100","last_updated":"2026-04-15T17:15:52Z","snapshot_observed_at":"2026-08-10T23:20:54.759919Z","submitted_at":"2026-04-15T17:15:52Z","title":"The 2D Euler equations are well-posed for generic initial data in $L^2$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T12:12:15.542946Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2604.14100"},"observation_digest":"sha256:9b3b782c6fcdf0d5f1aa75cf17d6c39cdb91ff711b8450f6b8b6997b3c60f8ac","observation_id":"6d60c616-f37f-4054-9663-703c9e332b40","resolution":{"observed_at":"2026-05-10T12:15:22.034891Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2605.20451","last_updated":"2026-05-19T20:04:18Z","snapshot_observed_at":"2026-08-05T19:15:35.638175Z","submitted_at":"2026-05-19T20:04:18Z","title":"Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-21T06:55:38.591433Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2605.20451"},"observation_digest":"sha256:7c188a3350e4fecc7732c20a209322a3df0d8b22e6b2f56b453e123d187a56a7","observation_id":"97bccfca-1ffc-42d1-a948-4c95587e524b","resolution":{"observed_at":"2026-05-21T06:59:45.626949Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2606.04218","last_updated":"2026-06-02T21:09:23Z","snapshot_observed_at":"2026-08-09T08:40:22.907243Z","submitted_at":"2026-06-02T21:09:23Z","title":"Absence of local anomalous dissipation and local energy balance in 2D incompressible flows away from the boundary","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T08:53:36.309109Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2606.04218"},"observation_digest":"sha256:6795dcc517f93493b9e8fc95c3af5088d72f69813dc9f2f4ad6591cec29c4dc0","observation_id":"1f69ce8b-f364-46c3-9fe4-ead45c069350","resolution":{"observed_at":"2026-07-02T04:46:38.009655Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:ffa40f18e7151af1e63a12062ae97fb1a50627a2423aa8d904175ee2c355b618","observation_id":"8c050d64-5be8-4249-a443-b4ba12a21c63","resolution":{"observed_at":"2026-07-03T03:07:34.486872Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-31T16:03:25.128774Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24400","last_updated":"2026-07-27T13:18:24Z","snapshot_observed_at":"2026-08-10T00:23:00.388830Z","submitted_at":"2026-07-27T13:18:24Z","title":"Local Well-Posedness for Vlasov--Poisson with $L^{d+}$ Initial Density and Fractional Velocity Regularity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T16:03:25.128774Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2607.24400"},"observation_digest":"sha256:862f78bd08413e6967c5b7a95586ba229bda62202f23df106c1edbf52c021695","observation_id":"ecce451c-b509-4cb7-9642-8f480ae2c906","resolution":{"observed_at":"2026-07-31T16:03:25.128774Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2408.07934/citation-record","integrity":"/paper/2408.07934/integrity","json":"/paper/2408.07934/citation-record.json","paper":"/paper/2408.07934"},"outbound":[],"paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2408.07934."}