{"as_of":"2026-08-12T16:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0b9cf4e228174c958c300ea26a4d0cf0ea7f7c7c2899603cfcb426b13fe4e42e","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:51:01.899364Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.18321/citation-record","integrity":"/paper/2505.18321/integrity","json":"/paper/2505.18321/citation-record.json","paper":"/paper/2505.18321"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:51:07.561056Z","title":"Unified analy- sis of discontinuous galerkin methods for elliptic problems.SIAM journal on numerical analysis, 39(5):1749–1779, 2002","venue":null,"work_id":"3b6bb3bb-13a3-4307-b5d5-bb1220851afe","year":2002},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:58.758100Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:45298b4199cfde8d86802822d7a632c44e5befb87be4f29f6780806675e8c702","observation_id":"2a7dc12a-d943-4ef6-8f37-dc68a9d36e9d","resolution":{"observed_at":"2026-08-07T14:51:07.634506Z","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":"2026-08-07T14:51:07.393044Z","title":null,"venue":null,"work_id":"183ded07-3cdf-4b0f-9008-26c8195b4e93","year":1956},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:58.869551Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:c1fa685426d77375d1a856cd51d5ed3679ecd2eb7fd1e05b9517cd3a891f1001","observation_id":"08f5a607-4372-4f53-b7c8-e32436a52971","resolution":{"observed_at":"2026-08-07T14:51:07.477902Z","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":"2026-08-07T14:51:07.131636Z","title":"The relativistic kinetic equation","venue":null,"work_id":"a22e426c-07b2-4a6a-bb5f-3cf0e9236b70","year":1956},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:58.987826Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:a5e6b079a8b4a56dafa6ab2149df58c88ae1509808cd0aa1b0957f50511411cf","observation_id":"292ebbf4-aed4-4aec-aa06-4dec72978fab","resolution":{"observed_at":"2026-08-07T14:51:07.233879Z","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":"2026-08-07T14:51:06.934098Z","title":"Boltzmann’s equation for electron gas in which collisions are infrequent","venue":null,"work_id":"9594195b-58ed-47ea-9148-52ac08015029","year":1959},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.109683Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:ed7508d95d3cf166c3a969a9eddee1895e9d7ef67b6debd7ccc81f2426d66aab","observation_id":"b845126d-48fe-4b3a-b5a4-c9a7695a9ae7","resolution":{"observed_at":"2026-08-07T14:51:07.020950Z","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":"2026-08-07T14:51:06.716338Z","title":"Fast algorithms for numerical, conservative, and entropy approximations of the fokker–planck–landau equation.Journal of Com- putational Physics, 133(2):310–322, 1997","venue":null,"work_id":"3036a14f-dd67-4110-a9bc-ac4b2e0922a9","year":1997},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.190576Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:ddc36d07eb3343707f081b34e2c61de067777068b47af9e302bc5af2c724c65c","observation_id":"cad87940-d13e-49c6-afd0-a60c864f6fa8","resolution":{"observed_at":"2026-08-07T14:51:06.810524Z","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":"2026-08-07T14:50:59.276431Z","title":"A particle method for the homogeneous landau equation.Journal of Computational Physics: X, 7:100066, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.276431Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:9e6e942beb494bbd51301cd46a7ad0df6bcd57e39712e773a3cf7dee17f9440f","observation_id":"ea9186d5-8926-4715-b874-ef88bd50c208","resolution":{"observed_at":"2026-08-07T14:50:59.276431Z","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":"2026-08-07T14:51:06.438478Z","title":"An a priori error analysis of the local discontinuous galerkin method for elliptic problems.SIAM Journal on Numerical Analysis, 38(5):1676–1706, 2000","venue":null,"work_id":"dee4780f-2f24-4ee5-b95d-c7d82a4a0d12","year":2000},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.401807Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:9fec2942d3a8fa987ab66e185175ce11588a585c84e675ed755fb60f9e07e979","observation_id":"cd3f40a6-543a-4d9e-8f0f-894ad1bd5b2b","resolution":{"observed_at":"2026-08-07T14:51:06.582252Z","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":"2026-08-07T14:51:06.242773Z","title":"Some extensions of the local discontinuous galerkin method for convection-diffusion equations in multidimensions.Mathematics of Finite Elements and Appli- cations, 10:225–238, 1999","venue":null,"work_id":"bad966ad-7a9b-4f78-b8a2-e02959f8e671","year":1999},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.499913Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:9614978b140afa56ba6a39c5e3ce80976c2a54c11ae4d3d3eacce626a04e8439","observation_id":"dd366960-bce7-4272-a718-0a5e7a250206","resolution":{"observed_at":"2026-08-07T14:51:06.344889Z","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":"2026-08-07T14:51:06.082001Z","title":"Superconvergence of the local discontinuous galerkin method for elliptic problems on cartesian grids.SIAM Journal on Numerical Analysis, 39(1):264–285, 2001","venue":null,"work_id":"c04e6bbe-c0ae-46db-81e1-1734a142594a","year":2001},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.580647Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:8048bca90f4dc47ac3e6de84b4415910e61e3624a8c69621a97369dd31cd1be5","observation_id":"c95808ac-377b-4988-b9bc-357dd59b683c","resolution":{"observed_at":"2026-08-07T14:51:06.153762Z","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":"2026-08-07T14:51:05.836592Z","title":"The local discontinuous galerkin method for time-dependent convection-diffusion systems.SIAM journal on numerical analysis, 35(6):2440–2463, 1998","venue":null,"work_id":"ef40b8d1-90ef-4187-85fc-4c7d6d23ad28","year":1998},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.685846Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0ebff120c56d3894c2d8f8ae8401a776b853403e22fd924fc65827f7b03db4bd","observation_id":"a3305f13-7c5b-4466-89e7-a8b2b2f19de0","resolution":{"observed_at":"2026-08-07T14:51:05.959604Z","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":"2026-08-07T14:51:05.600780Z","title":"Runge–kutta discontinuous galerkin methods for convection- dominated problems.Journal of scientific computing, 16:173–261, 2001","venue":null,"work_id":"b03bbff4-f457-4317-81cb-d70f6a36750f","year":2001},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.828184Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:7786ae643b75d9dac8dd1e258fd9dfc3731e820f3729f41e32aeeb45fe2a4795","observation_id":"8700c279-2f91-46b3-ad5d-45d4a2fab9f3","resolution":{"observed_at":"2026-08-07T14:51:05.691766Z","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":"2026-08-07T14:51:05.401662Z","title":"A fully implicit, scalable, conservative nonlinear relativistic fokker–planck 0d-2p solver for runaway electrons.Computer Physics Communications, 254:107361, 2020","venue":null,"work_id":"6ab2e89d-b747-4790-a6b0-ae678d7e995f","year":2020},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T14:50:59.900814Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:dbef25c9c162c5a300d839fada98e01738ca91d72cf0451948760ee0b50ddeeb","observation_id":"38c8c76e-6f45-4f38-91f4-5ddfad9aa085","resolution":{"observed_at":"2026-08-07T14:51:05.516719Z","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":"2026-08-07T14:51:05.199210Z","title":"An entropy scheme for the fokker-planck collision operator of plasma kinetic theory.Numerische Mathematik, 68(2):239–262, 1994","venue":null,"work_id":"966d3a95-21e5-463d-a773-3e540262bc4e","year":1994},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.064790Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:4720f9d9acb0f6faf17bde155a19598cda3d65d240bbb13c3e3404cfc2edfb6f","observation_id":"d8c2b647-a3e1-448a-ac61-cafb4e619dfe","resolution":{"observed_at":"2026-08-07T14:51:05.288759Z","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":"2026-08-07T14:51:05.023481Z","title":"Numerical methods for plasma physics in collisional regimes.Journal of Plasma Physics, 81(1):305810106, 2015","venue":null,"work_id":"ec58a022-b2ae-4d35-96e3-c548c1cde63a","year":2015},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.191617Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:7ca1dbac894065996659ed57e5064f8928f3ca29dcbd3ef42e9dd4caa9e8adb9","observation_id":"9134fb58-216f-4ad0-9509-544175258c66","resolution":{"observed_at":"2026-08-07T14:51:05.116306Z","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":"2026-08-07T14:51:04.810341Z","title":"Numerical methods for kinetic equations.Acta Numerica, 23:369–520, 2014","venue":null,"work_id":"50154929-abaf-46ad-999f-aa413f8fe4b5","year":2014},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.279667Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:c11ee7aee0458f65e6faec3a792afd680b2a91500afeb329656e90a1f4ee4349","observation_id":"8ae89397-f846-4d88-9576-a6b25518cbf7","resolution":{"observed_at":"2026-08-07T14:51:04.895505Z","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":"2026-08-07T14:51:04.532742Z","title":"Model fokker-planck equation for a plasma and its solution.The Physics of Fluids, 7(11):1788–1799, 1964","venue":null,"work_id":"622dd510-5245-4c27-9f1f-cc4ed820d9e2","year":1964},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.402659Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:2571e04f005538247d79c80f25532c56f7a0bd37258e13b8434f79617834dc14","observation_id":"59f2fb1d-be67-4a22-94be-c05a7b8970fb","resolution":{"observed_at":"2026-08-07T14:51:04.674101Z","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":"2026-08-07T14:51:04.309165Z","title":"Electron and ion runaway in a fully ionized gas","venue":null,"work_id":"0489d941-1acc-4443-ac68-7645cddf798e","year":1959},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.469464Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0ba087663d0a95a9fab8e03acff10138c9dd2821b6b8513bae53ba8787713741","observation_id":"3f05d8a0-62e3-4725-ad8c-d4cd88dc1de9","resolution":{"observed_at":"2026-08-07T14:51:04.415601Z","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":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-07T14:51:00.549795Z","title":"The landau equation does not blow up.arXiv preprint arXiv:2311.09420, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.549795Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:eff4b92a8d4caaf2f72426aeefbeca739056e81a803fb244c1be1805c4055d85","observation_id":"d75c5bb7-22a2-4491-b533-50e5b251e541","resolution":{"observed_at":"2026-08-07T14:51:00.549795Z","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":"2026-08-07T14:51:04.139179Z","title":"Collisional transport in plasma.Handbook of Plasma Physics, 1(147):331, 1983","venue":null,"work_id":"9efc0350-8bcc-4e18-9b1b-34c6fea717df","year":1983},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.626431Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:8ec792eb0833957ec08d850724886fd3858565ac7c2b0e917d01088696f56a8f","observation_id":"5a40fc39-5c9a-467f-86d2-6d1f39db9690","resolution":{"observed_at":"2026-08-07T14:51:04.229155Z","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":"1903.07403","last_updated":"2019-03-18T12:54:44Z","snapshot_observed_at":"2026-07-06T07:39:58.635474Z","submitted_at":"2019-03-18T12:54:44Z","title":"Conservative finite-element method for the relativistic Coulomb collision operator","version":1},"cited_work":{"arxiv_id":"1903.07403","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.07403","snapshot_observed_at":"2026-08-07T14:51:02.297021Z","title":"Conservative finite-element method for the relativistic Coulomb collision operator","venue":"physics.plasm-ph","work_id":"ea519c78-0888-41f2-8dc1-3c4fcc689f6d","year":2019},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.694880Z"},"links":{"cited_paper":"/paper/1903.07403","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:a6fa7120973439ea6879a384cf93dfc68188936e15ad799250dfc545b6115984","observation_id":"217fc3d1-9f6c-4a12-be21-002bdda245e4","resolution":{"observed_at":"2026-08-07T14:51:02.346333Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:51:03.984310Z","title":"Conservative discretization of the landau collision integral","venue":null,"work_id":"a866b2e9-2e08-44b1-a577-dcf4efe07564","year":2017},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.764932Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0b446ebee4bf28921c61a5078b35bd0ff8d5a715a997a0b423eabbce83081523","observation_id":"00651fd0-7c17-4a5a-abe6-ec624649928b","resolution":{"observed_at":"2026-08-07T14:51:04.037281Z","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":"2026-08-07T14:51:03.819715Z","title":"A conservative galerkin solver for the quasilinear diffusion model in magnetized plasmas.Journal of Computational Physics, 488:112220, 2023","venue":null,"work_id":"7b41620d-b3d9-4b3a-8fd6-e9f44756f129","year":2023},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.871732Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:a63bde8ec534716768690f8ced9f482de5f4fc068d0493a53a3f60d3d007deb1","observation_id":"130eb996-5c00-4dcd-9781-31f8b61c5655","resolution":{"observed_at":"2026-08-07T14:51:03.904054Z","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":"2026-08-07T14:51:03.680699Z","title":"Nonlinear fokker- planck collision operator in rosenbluth form for gyrokinetic simulations using discontinuous galerkin method.Computer Physics Communications, 279:108459, 2022","venue":null,"work_id":"953248e8-d5e1-4c01-8ed5-bb41483fc0f2","year":2022},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.958838Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:b67a08620bb4978393c570a51983ee25ae61a9bebe01b7cf52a957493ad0f90e","observation_id":"86a5e43c-111b-49cc-a4d9-3b9923b8c8ee","resolution":{"observed_at":"2026-08-07T14:51:03.730472Z","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":"2026-08-07T14:51:03.562576Z","title":"Pergamon Press, 1981","venue":null,"work_id":"d8e6569b-fcb0-4e74-8fae-b9b3f8ded36e","year":1981},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.021223Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0b90f1d1058a084d57b8be5dc66040c7c546c785fcc88804819045d542d04601","observation_id":"49443d5e-56a7-4977-acbf-6b0194ac3e0c","resolution":{"observed_at":"2026-08-07T14:51:03.620556Z","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":"2026-08-07T14:51:03.377908Z","title":"Decay of entropy from a conservative spectral method for fokker-planck-landau type equations","venue":null,"work_id":"1df7ec9c-0906-49b8-bf4d-e5011d223777","year":2019},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.126453Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:c0661e58930e44c278f23feb065169f0259b280bd9d70936ff6dc8f8ff481bf0","observation_id":"846c1d6c-0773-49f1-84ae-b3fef6c4580c","resolution":{"observed_at":"2026-08-07T14:51:03.485003Z","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":"1910.03110","last_updated":"2020-09-23T04:45:26Z","snapshot_observed_at":"2026-08-11T17:52:12.035238Z","submitted_at":"2019-10-07T22:04:26Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit","version":2},"cited_work":{"arxiv_id":"1910.03110","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.03110","snapshot_observed_at":"2026-08-07T14:51:02.174646Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit","venue":"cond-mat.stat-mech","work_id":"9e7fb6e1-3108-4ac9-91c7-2acfce3d46c2","year":2019},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.215588Z"},"links":{"cited_paper":"/paper/1910.03110","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:ba53fd7819439bde791c3a179da313fb7642cc759a70705b01281e86fbfeaa4f","observation_id":"b9f2d4bc-8e9d-4a42-963b-679192fc40b1","resolution":{"observed_at":"2026-08-07T14:51:02.228023Z","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":"2009.10352","last_updated":"2020-09-22T07:15:25Z","snapshot_observed_at":"2026-07-06T09:57:42.180334Z","submitted_at":"2020-09-22T07:15:25Z","title":"Convergence and Error Estimates for the Conservative Spectral Method for Fokker-Planck-Landau Equations","version":1},"cited_work":{"arxiv_id":"2009.10352","doi":null,"metadata_source":"pith","pith_arxiv_id":"2009.10352","snapshot_observed_at":"2026-08-07T14:51:02.028706Z","title":"Convergence and Error Estimates for the Conservative Spectral Method for Fokker-Planck-Landau Equations","venue":"math.NA","work_id":"08e31b5d-e5de-4d8a-8339-b14b9bcd4e4d","year":2020},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.307851Z"},"links":{"cited_paper":"/paper/2009.10352","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:2095ba31fe00ddb5d03711af74ae67a3b4f6e55304c591d8fea15245d6355704","observation_id":"a4937a45-7c1f-478f-b243-3ad32b60da14","resolution":{"observed_at":"2026-08-07T14:51:02.089323Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:51:03.242428Z","title":"A mass-energy- conserving discontinuous galerkin scheme for the isotropic multispecies rosenbluth–fokker–planck equation.Journal of Computational Physics, 449:110813, 2022","venue":null,"work_id":"07614309-e79f-4151-800f-f89b26ba6a70","year":2022},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.393525Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0a3c7da4a0c5fa3068ae767dae61d4b73f5646e87d53624a90ebff9ed8ceef34","observation_id":"3fb06644-8f09-4ebb-80f0-469279bef68c","resolution":{"observed_at":"2026-08-07T14:51:03.321544Z","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":"2026-08-07T14:51:01.475856Z","title":"Structure-preserving strategy for conservative simulation of the relativistic nonlinear landau-fokker-planck equation.Physical Review E, 99(5):053309, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.475856Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:63b3466aabf1569c684f31fda143a80787a16b113b65a89690f85294c6c95e6a","observation_id":"2b6c5ed9-d1ca-4fab-97f0-9e6918e6882e","resolution":{"observed_at":"2026-08-07T14:51:01.475856Z","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":"2026-08-07T14:51:03.122470Z","title":"Entropy dissipation estimates for the relativistic landau equa- tion, and applications.Journal of Functional Analysis, 277(4):1139–1201, 2019","venue":null,"work_id":"b397eb70-065d-47da-a6c8-5ff2faed5b81","year":2019},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.568482Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:cd4bad9c2f4b5b6287c3623e0233c3f19925c3abf136c7a80e9c4aa3d6216cc8","observation_id":"8861e464-d898-4dc5-b2bb-7f65b24b617e","resolution":{"observed_at":"2026-08-07T14:51:03.168002Z","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":"2026-08-07T14:51:02.965037Z","title":"Variational crimes in the finite element method","venue":null,"work_id":"cd2b1cb1-fad6-49f5-8016-244f0fd7a010","year":1972},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.636385Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:a64aa9cd9250a0b94ce04604679646fa84fa857ae054884e496cefc0b970fb5e","observation_id":"e184f51c-35e5-419f-b255-5aafa601e280","resolution":{"observed_at":"2026-08-07T14:51:03.036677Z","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":"2026-08-07T14:51:02.799121Z","title":null,"venue":null,"work_id":"7ca36648-9615-49ac-abdf-ea7fb0fcc0a6","year":2015},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.696384Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:3d45c14bbb6a3d9e3bd7666276b05cc7f437f5a72115c3f3067ab09c7f1a7e3d","observation_id":"77bbd5a6-eabd-4afb-9388-134577a9d569","resolution":{"observed_at":"2026-08-07T14:51:02.870349Z","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":"2026-08-07T14:51:01.742280Z","title":"Springer Berlin Heidelberg New York, 1996","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.742280Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:5b0de3c39a99adbae597c6a078310d939c70bfe507479d880f8688b1b5bdb8cb","observation_id":"b6dd9b45-8142-4607-9dcc-a92b812daf7d","resolution":{"observed_at":"2026-08-07T14:51:01.742280Z","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":"2026-08-07T14:51:02.605424Z","title":"A conservative scheme for vlasov poisson landau modeling collisional plasmas.Journal of Computational Physics, 340:470–497, 2017","venue":null,"work_id":"778c7092-04a6-4f89-a850-8bd18d83891b","year":2017},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.822984Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:a932aa3b291f848aa0c386b4691c9c735649bf3a3bf16fbc2bb0f9de93286cf5","observation_id":"fde4845a-e85f-43b0-9de7-bf9e318d76fe","resolution":{"observed_at":"2026-08-07T14:51:02.675225Z","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":"2026-08-07T14:51:02.442948Z","title":"A conservative discontinuous galerkin solver for the space homogeneous boltzmann equation for binary interactions.SIAM Journal on Numerical Analysis, 56(5):3040–3070, 2018","venue":null,"work_id":"517900f0-0a86-48f4-b893-a81ccef2f421","year":2018},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.899364Z"},"links":{"citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:0ee8432b331cb42ff35db373eccbf4e7691e07d93676e7458bd3e9dd86c38405","observation_id":"df42d937-70e8-44ca-acfd-7a2eca2efe8b","resolution":{"observed_at":"2026-08-07T14:51:02.506491Z","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":"2505.18321","last_updated":"2025-05-23T19:27:31Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":26},"total_outbound_references":35},"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 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2505.18321."}