{"as_of":"2026-08-12T07:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:866a25ac282b88b891bd2987a0910afd8aa1b08b5f96cbff0245e4c32971c0cc","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T15:26:18.821654Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T18:46:51.169180Z","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":"2026-05-11T13:31:03.214122Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.11094","snapshot_observed_at":"2026-08-07T18:46:51.169180Z","title":null,"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":134,"source":"pdf_text","source_observed_at":"2026-08-07T18:46:51.169180Z"},"links":{"cited_paper":"/paper/2412.11094","citing_paper":"/paper/2502.10274"},"observation_digest":"sha256:de7510d248f1fc67804fbd7b852539754f1529cde7349481775fcf4cee8dbc09","observation_id":"cf4737b8-2598-4aba-bd1f-fb40eca8fe4e","resolution":{"observed_at":"2026-08-07T18:46:51.169180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"cited_work":{"arxiv_id":"2412.11094","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.11094","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhao,An Onsager-type Theorem for general 2D Active Scalar Equations(2024)","venue":null,"work_id":"2724f319-6089-45d2-9ac7-b4181ca65600","year":2024},"citing_paper":{"arxiv_id":"2604.19732","last_updated":"2026-04-21T17:55:01Z","snapshot_observed_at":"2026-08-04T19:20:40.391564Z","submitted_at":"2026-04-21T17:55:01Z","title":"Hamiltonian compactness and dissipation for the generalized SQG equation in the inviscid limit","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-10T01:35:50.681958Z"},"links":{"cited_paper":"/paper/2412.11094","citing_paper":"/paper/2604.19732"},"observation_digest":"sha256:d3e338969b1cb806414dd7c9e5ebcdc16851fb446950580f96fcccdb25190c7f","observation_id":"22876df2-5c56-4c17-9a1a-0160855cb6a4","resolution":{"observed_at":"2026-05-11T13:31:03.218954Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.11094/citation-record","integrity":"/paper/2412.11094/integrity","json":"/paper/2412.11094/citation-record.json","paper":"/paper/2412.11094"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.864386Z","title":null,"venue":null,"work_id":"10b64d13-1ff6-43e8-8806-d673b555a02b","year":1972},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.595215Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:db9b7de1b5a89c49ac0c7f0da7b73e4ce1638675cbfe35a2324e8d3e5f5c5bfe","observation_id":"e203b1ed-4e07-4e97-b0c9-54e4e8a805a5","resolution":{"observed_at":"2026-08-11T15:26:19.870178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T15:26:18.601709Z","title":"Buckmaster, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.601709Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:8e613aec437f65e15119d399ca47dfc0ecf8540a6e74f620d52f30bea2c32aad","observation_id":"efdfd172-7506-467c-aa5c-5368c4fb9e6e","resolution":{"observed_at":"2026-08-11T15:26:18.601709Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.09278","last_updated":"2022-06-13T18:15:22Z","snapshot_observed_at":"2026-08-10T12:19:32.809518Z","submitted_at":"2021-01-22T18:58:35Z","title":"Non-conservative $H^{\\frac 12-}$ weak solutions of the incompressible 3D Euler equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.09278","snapshot_observed_at":"2026-08-11T15:26:18.607985Z","title":"Buckmaster, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.607985Z"},"links":{"cited_paper":"/paper/2101.09278","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9ccdf1479f82e5c666bfd29782f7b6dc90fc8364037d5a9f4665be5c82f66545","observation_id":"1a3225a9-569c-426d-a015-09a69a4093dd","resolution":{"observed_at":"2026-08-11T15:26:18.607985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.835532Z","title":"Buckmaster, S","venue":null,"work_id":"b7e8c8f5-eb9e-474c-83cd-25b2125fc93d","year":2019},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.616520Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:68521e3cc6c0dab0d7d54e42c45a3d3b8e111f231f257b45a6ecdfa5259eea05","observation_id":"cb6aec6e-96b9-43f4-8cf2-040834e44b54","resolution":{"observed_at":"2026-08-11T15:26:19.845633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-021-04247-z","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:18.885393Z","title":"and Li, D","venue":null,"work_id":"776da1f8-1880-479b-933b-e433db4b0aa8","year":2021},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.626366Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:97c9e56a04fc8d07459d8f2fdf2922e750c441a30312ff0f0e983c392b36aa8a","observation_id":"f91533a5-66e4-4397-8044-97c9866c1bf1","resolution":{"observed_at":"2026-08-11T15:26:18.894105Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.812865Z","title":"Conti, C","venue":null,"work_id":"8a2a8220-7482-42b1-8fdb-4c91a9c34ebc","year":2012},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.636165Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9901463da4381f675838b2b4dc9bf4f5505c8a856f4964d08c0d4f01d803bf7f","observation_id":"77b0e9d7-a1cf-403c-99d7-b8ea2dbad725","resolution":{"observed_at":"2026-08-11T15:26:19.819352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.793146Z","title":"Constantin, W","venue":null,"work_id":"f93381a3-199c-4786-be4d-8a0a58b9d437","year":1994},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.643920Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:3446c1b542206aa512b0623d74b1099522fdd45e464cbbaeda59671427ebb097","observation_id":"8a708fa3-083c-42ed-a429-4615b8210073","resolution":{"observed_at":"2026-08-11T15:26:19.800059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.773375Z","title":"Constantin, A.J","venue":null,"work_id":"a837a33c-40d5-4459-9df4-6c0070812788","year":1994},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.651773Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:b52f896df03e658f86dab4793fae31463627e16fc05c37ad8785863840d6aad1","observation_id":"0d5656f9-9750-43d2-8a43-bc928c497513","resolution":{"observed_at":"2026-08-11T15:26:19.779713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.748042Z","title":"C /acute.ts1ordoba and F","venue":null,"work_id":"00f45356-3f1a-4524-81a7-8c5969361fdb","year":2007},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.659796Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:1363acdf8b067d75270f5ab484405a710b3e98b3fdf7dc351b80e486aedcdc7d","observation_id":"6e24a527-834d-4052-a181-79ea780a7e4c","resolution":{"observed_at":"2026-08-11T15:26:19.756059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02582","last_updated":"2024-07-02T18:05:01Z","snapshot_observed_at":"2026-08-09T11:50:41.041214Z","submitted_at":"2024-07-02T18:05:01Z","title":"An Onsager-type theorem for SQG","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.02582","snapshot_observed_at":"2026-08-11T15:26:18.666550Z","title":"Giri and R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.666550Z"},"links":{"cited_paper":"/paper/2407.02582","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:86adc3153923df5b042388e5a945da3f36b4996c2b84102b25d8e194f10d012a","observation_id":"56c0dcb2-aa23-4c32-9475-f291b4a14cad","resolution":{"observed_at":"2026-08-11T15:26:18.666550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.727500Z","title":"De Lellis, and L","venue":null,"work_id":"de60534a-c24a-435e-a506-ad8657341b2f","year":2009},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.673226Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9dc3637ad5594e5129ebe84780d9a50281f06fe90ec26715d574fa2014d247fc","observation_id":"355380b1-1c73-4768-b563-7970872a0a17","resolution":{"observed_at":"2026-08-11T15:26:19.733556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.708361Z","title":"De Lellis, and L","venue":null,"work_id":"b15ecf01-a441-4bff-8dc8-2870fd8b01ce","year":2013},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.680404Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:d708298099b6de65102b16b96a47014d7f010c675b90d92a81a659657cbf42aa","observation_id":"a736069f-9b40-4983-b967-4cdfcce6258f","resolution":{"observed_at":"2026-08-11T15:26:19.714573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.687069Z","title":"Friedlander, F","venue":null,"work_id":"13d81d0d-bd82-4db6-888a-6a7ed681b526","year":2012},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.686085Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:c4e87a58b8b26854ea695b9ba36868d2b87071c33fae2cd279999114935df90c","observation_id":"b0d109bb-ffa0-44d0-902d-d539334930bd","resolution":{"observed_at":"2026-08-11T15:26:19.694926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T15:26:18.694101Z","title":"arXiv:2407.15884, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.694101Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:7dfad499ecd15959dcef042a60436190eecc8a0533b7b6c3938a40e8344ccc2d","observation_id":"c4f43d9d-8014-446a-9b79-77e5f0cad60c","resolution":{"observed_at":"2026-08-11T15:26:18.694101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.18142","last_updated":"2023-09-11T15:17:38Z","snapshot_observed_at":"2026-07-06T15:34:47.996817Z","submitted_at":"2023-05-29T15:12:54Z","title":"A wavelet-inspired $L^3$-based convex integration framework for the Euler equations","version":2},"cited_work":{"arxiv_id":"2305.18142","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.18142","snapshot_observed_at":"2026-08-11T15:26:19.011206Z","title":"A wavelet-inspired $L^3$-based convex integration framework for the Euler equations","venue":"math.AP","work_id":"b782daa2-1fd7-4591-be82-6bb5061c14f0","year":2023},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.702433Z"},"links":{"cited_paper":"/paper/2305.18142","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:261143a0998b092da8579482e675afda0991b02f21e616efbe5f1409d11ba74c","observation_id":"69a7a266-4531-4d56-9e0f-10d9b470dbe3","resolution":{"observed_at":"2026-08-11T15:26:19.021124Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.18509","last_updated":"2025-08-05T13:48:23Z","snapshot_observed_at":"2026-08-04T21:25:36.028719Z","submitted_at":"2023-05-29T15:33:57Z","title":"The $L^3$-based strong Onsager theorem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.18509","snapshot_observed_at":"2026-08-11T15:26:18.709045Z","title":"The L3-based strong Onsager theorem","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.709045Z"},"links":{"cited_paper":"/paper/2305.18509","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:93ee3b6918411a0c229bb91a0a83a4c6e5321fe17fd8acaf303ef25d73ab9ad3","observation_id":"d4478f90-1bc7-4455-909e-2f709ff9b0a0","resolution":{"observed_at":"2026-08-11T15:26:18.709045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:18.719737Z","title":"Giri and R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.719737Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:8187cacaac2498cc728e7571b7737345f515f489375725cc83dd1bc82e47ad84","observation_id":"15104e4e-83d4-43a5-b02c-170d8f801d72","resolution":{"observed_at":"2026-08-11T15:26:18.719737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.662733Z","title":"Held, R.T","venue":null,"work_id":"1ab7dbf3-6e18-411f-98f3-a76e378b9e4f","year":1995},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.726715Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9f14cf1fd825d5b79e439ab88f494fc1c03fc18ea77b24cfaa929d4b6cebe046","observation_id":"fc732efb-c121-4909-9cf7-5855312eb290","resolution":{"observed_at":"2026-08-11T15:26:19.668357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.641632Z","title":"Global solutions for the gravity water waves system in 2d","venue":null,"work_id":"a1adcdab-4669-449b-9cd2-b8b1df620cc9","year":2015},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.733189Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:6dc7e33ae32cf19a44bf14cf26e0cbe559426db6fc572d45d503d4a1b5957db8","observation_id":"47ef7fb5-2d1e-4d20-af8a-e3ace328c844","resolution":{"observed_at":"2026-08-11T15:26:19.648373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.615742Z","title":null,"venue":null,"work_id":"c22311d6-9186-4ada-bd36-b000c641a1d7","year":2018},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.748039Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:1abde04bf5a77607f61c4d5c80d5b214dc5c55da95f66d9155d332860c6c488c","observation_id":"aa79f8f6-4a4f-4310-8dd5-9fece8a50bfd","resolution":{"observed_at":"2026-08-11T15:26:19.623890Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02578","last_updated":"2025-09-03T17:49:25Z","snapshot_observed_at":"2026-07-06T18:40:31.586903Z","submitted_at":"2024-07-02T18:01:45Z","title":"A proof of Onsager's Conjecture for the SQG equation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.02578","snapshot_observed_at":"2026-08-11T15:26:18.755583Z","title":"Isett and S.-Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.755583Z"},"links":{"cited_paper":"/paper/2407.02578","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9f0097f440c16918f330ffe637344322b11c517f6c878af26d5ab32980eb538b","observation_id":"4421248d-5c37-4480-9976-7ab7bff6c9c6","resolution":{"observed_at":"2026-08-11T15:26:18.755583Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.589498Z","title":"Isett and A","venue":null,"work_id":"f62c0f07-13ed-43c8-b41f-158ebc03d1ef","year":2021},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.765185Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:f2742c5e884f219730cdfbb3d0cc56e1529d65eb2fd8a70e331f3e34c296a657","observation_id":"f1318a07-39b8-4745-b401-5cebc903bd9b","resolution":{"observed_at":"2026-08-11T15:26:19.596237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08279","last_updated":"2024-03-13T06:16:03Z","snapshot_observed_at":"2026-07-06T17:43:48.464015Z","submitted_at":"2024-03-13T06:16:03Z","title":"On the conservation laws and the structure of the nonlinearity for SQG and its generalizations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08279","snapshot_observed_at":"2026-08-11T15:26:18.772076Z","title":"Isett and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.772076Z"},"links":{"cited_paper":"/paper/2403.08279","citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:3d68386aab1f897a17ba58233c94f77808fab33545f16a92b8dfdfeb674827c1","observation_id":"3b4281d4-608a-42c6-8990-4718a9d2d361","resolution":{"observed_at":"2026-08-11T15:26:18.772076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.556364Z","title":"Isett and V","venue":null,"work_id":"05d51d21-47f8-4461-84e1-306f90a951b2","year":2015},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.778618Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:219e9acc9048719d195e60720b04f678d2c820fa17483c64b838df53756eff2a","observation_id":"6c0cad49-617c-45af-a9ea-22378d63302c","resolution":{"observed_at":"2026-08-11T15:26:19.572548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.512354Z","title":null,"venue":null,"work_id":"244c9887-e4ee-4ea7-95f5-a0d3267bb3ef","year":2008},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.784143Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:6dee39adfab36338b237325f1b238f9d37ea23145850ab675ee1066b828bd7c2","observation_id":"fab9f4f6-0a1c-475a-984d-f449d44ae8f6","resolution":{"observed_at":"2026-08-11T15:26:19.531290Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.489508Z","title":null,"venue":null,"work_id":"17fe0bb5-b814-4ff4-b85c-ec731d8fe7fa","year":2022},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.790476Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:ae85610e178cafb69c9b761f5a7b33595112d8d3348d1f1a5ff1b8bfea8073a2","observation_id":"0a60055d-540d-4b24-b1db-111d236e4939","resolution":{"observed_at":"2026-08-11T15:26:19.498916Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.464804Z","title":"Moffatt and D.E","venue":null,"work_id":"e1c491b2-dab0-49cf-859f-6a1407079a7c","year":1994},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.796188Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:9d0b38264c10785b67669f5a7c635b3e93a611e09d0b58aeee78035a7c53dc30","observation_id":"3ea0a379-0819-4d68-81c1-ddcfa995ba7a","resolution":{"observed_at":"2026-08-11T15:26:19.471992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.441257Z","title":null,"venue":null,"work_id":"310058d5-06ae-4ea9-81af-21686aab53b6","year":1954},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.802730Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:1bbe59ca124041b601b9de80e98abe42d0970fe79b4d3ec8bfd0ef3b9d26050e","observation_id":"773c6ef6-9fa5-4b2b-a830-d8a4a4a23b7e","resolution":{"observed_at":"2026-08-11T15:26:19.449755Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.408021Z","title":"Novack, and V","venue":null,"work_id":"bdc6f5c5-fd5e-44fd-bf7a-85f8da464c2c","year":2023},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.809070Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:d5dd5337ca09c64336ef0f52bf11ccf50d4eec8bd0c05f3643c3eb34a602fe15","observation_id":"343fc829-dc22-4ad1-8906-1fe9af61b330","resolution":{"observed_at":"2026-08-11T15:26:19.414524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T15:26:18.814725Z","title":null,"venue":null,"work_id":null,"year":1943},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.814725Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:637b4ab4171ff0e7b051f2ce27997f9c3cc333781e494d54aee5fdf1285fabbe","observation_id":"39f930cc-09a9-43ac-b7e9-3d6a703f2061","resolution":{"observed_at":"2026-08-11T15:26:18.814725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:26:19.183785Z","title":"Com- munications on Pure and Applied Mathematics, 71: 90-162, 2018","venue":null,"work_id":"e3aad849-9c1e-46ba-8325-d89230e203dd","year":2018},"citing_paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T15:26:18.821654Z"},"links":{"citing_paper":"/paper/2412.11094"},"observation_digest":"sha256:b8c1478de6b725483ae7c4b549b194c69fb1a3361abdab5baad8248f17aad0fe","observation_id":"ccb2f7c0-763f-4dc5-a3c6-19378fb5aec7","resolution":{"observed_at":"2026-08-11T15:26:19.192363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.11094","last_updated":"2025-05-09T08:43:35Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-11T22:00:30.273616Z","submitted_at":"2024-12-15T07:28:40Z","title":"An Onsager-type Theorem for General 2D Active Scalar Equations"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":2,"verified_fuzzy":15},"total_outbound_references":31},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2412.11094."}