{"as_of":"2026-08-16T03:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:85dd1f2c2fe0c46132db3f5120c96f5f06085a9a4055c21b2d50d94cc4d07177","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:04:40.030775Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:23:07.111400Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T18:23:08.866673Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"cited_work":{"arxiv_id":"2505.05838","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.05838","snapshot_observed_at":"2026-08-06T18:23:08.866673Z","title":"Passing to the limit in fuzzy Boltzmann equations","venue":"math.AP","work_id":"bc7fffb3-6c41-44e3-9477-eb0a73d243d5","year":2025},"citing_paper":{"arxiv_id":"2507.08689","last_updated":"2025-08-18T18:15:41Z","snapshot_observed_at":"2026-08-10T02:40:18.947246Z","submitted_at":"2025-07-11T15:38:56Z","title":"The fuzzy Landau equation: global well-posedness and Fisher information","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:23:07.111400Z"},"links":{"cited_paper":"/paper/2505.05838","citing_paper":"/paper/2507.08689"},"observation_digest":"sha256:599bbf961b65e3d2548a9fd22d8f84de7ca745d330fe77d6d8bdf68470e9b2d6","observation_id":"3cd21cc7-310a-4c9a-b01d-a4bbfcf3c42b","resolution":{"observed_at":"2026-08-06T18:23:08.922139Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.05838/citation-record","integrity":"/paper/2505.05838/integrity","json":"/paper/2505.05838/citation-record.json","paper":"/paper/2505.05838"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:04:40.119195Z","title":"Global existence in L1 for the En- skog equation and convergence of the solutions to solutions of the Boltzmann equation","venue":null,"work_id":"2ac57589-0aa2-4400-b5e8-078c33fb57b9","year":1990},"citing_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T23:04:40.008567Z"},"links":{"citing_paper":"/paper/2505.05838"},"observation_digest":"sha256:71371b1390996bbc7f1d7f47a897f993d753185ba152ac76e204b8d0ddc38726","observation_id":"079b46a8-91a1-46cb-acb1-767d43f13a8f","resolution":{"observed_at":"2026-08-15T23:04:40.124259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0294-1449(16)30264-5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:04:40.084200Z","title":"On the Cauchy problem for Bo ltz- mann equations: global existence and weak stability","venue":null,"work_id":"d226e75e-e29f-4e62-a1f8-619827ff0ca8","year":1989},"citing_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"reference_index":288,"source":"pdf_text","source_observed_at":"2026-08-15T23:04:40.025240Z"},"links":{"citing_paper":"/paper/2505.05838"},"observation_digest":"sha256:2fb5a9e8e8d3d32d1e63e8502d28f49a879348c3d844c282da05bc5b46bd7e4e","observation_id":"6c93228b-a464-4f7a-a7e8-919f17d9ed84","resolution":{"observed_at":"2026-08-15T23:04:40.091089Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T23:04:40.030775Z","title":"On the Cauchy problem for Landau equations: Seque n- tial stability, global existence","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"reference_index":656,"source":"pdf_text","source_observed_at":"2026-08-15T23:04:40.030775Z"},"links":{"citing_paper":"/paper/2505.05838"},"observation_digest":"sha256:23f63163cfd757665292a84837242e41722a374f7d0faff00d3b319f1cf90fc6","observation_id":"511a0d71-1438-4f44-8168-396d648aa416","resolution":{"observed_at":"2026-08-15T23:04:40.030775Z","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":"2026-08-15T23:04:40.019558Z","title":"On the Boltzmann equation for long - range interactions","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"reference_index":1983,"source":"pdf_text","source_observed_at":"2026-08-15T23:04:40.019558Z"},"links":{"citing_paper":"/paper/2505.05838"},"observation_digest":"sha256:5402f7920524d860fe2cad3f84764672f3d56fef6c3943aee238109dd3e31069","observation_id":"e5d5a080-4b2e-4533-aee8-143b849bef56","resolution":{"observed_at":"2026-08-15T23:04:40.019558Z","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":"2026-08-15T23:04:40.102915Z","title":"Global existence and full regularity of the Boltzmann equation without an- gular cutoff","venue":null,"work_id":"16030763-34a0-4cad-92f2-efab90770a79","year":2011},"citing_paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations","version":1},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-15T23:04:40.014590Z"},"links":{"citing_paper":"/paper/2505.05838"},"observation_digest":"sha256:c82ff38583a691381e6d7f064d6bbd4e50890a7364bce0fe4904243a36e11bbc","observation_id":"dffd1e49-7755-4bf6-b843-43391886fca4","resolution":{"observed_at":"2026-08-15T23:04:40.108110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.05838","last_updated":"2025-05-09T07:07:44Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T22:52:28.843997Z","submitted_at":"2025-05-09T07:07:44Z","title":"Passing to the limit in fuzzy Boltzmann equations"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":1,"verified_fuzzy":2},"total_outbound_references":5},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:2505.05838."}