{"as_of":"2026-08-09T08:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b0714a26e3cbf8891ff353c17c748d25af85f08aaf475bd13832e64a6539efbe","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:39:55.473435Z","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":"2026-05-11T08:30:57.555616Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.10890","last_updated":"2025-02-06T13:58:17Z","snapshot_observed_at":"2026-08-06T09:10:23.466933Z","submitted_at":"2024-12-14T16:39:02Z","title":"Hypocoercivity meets lifts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.10890","snapshot_observed_at":"2026-08-06T20:39:55.473435Z","title":"Brigati, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.473435Z"},"links":{"cited_paper":"/paper/2412.10890","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:4309c9ab17b407e48ac126fdcc412d34915d07462d40ddbc457185a14b8a92b7","observation_id":"42074fa6-fe92-4b24-b061-0887fd5563c2","resolution":{"observed_at":"2026-08-06T20:39:55.473435Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.10890","last_updated":"2025-02-06T13:58:17Z","snapshot_observed_at":"2026-08-06T09:10:23.466933Z","submitted_at":"2024-12-14T16:39:02Z","title":"Hypocoercivity meets lifts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.10890","snapshot_observed_at":"2026-08-06T17:19:19.872566Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.11387","last_updated":"2025-07-15T14:56:25Z","snapshot_observed_at":"2026-08-06T17:06:36.411319Z","submitted_at":"2025-07-15T14:56:25Z","title":"From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their Properties","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T17:19:19.872566Z"},"links":{"cited_paper":"/paper/2412.10890","citing_paper":"/paper/2507.11387"},"observation_digest":"sha256:238079aa205f70481c12a98d3d3d24428a5c708bae1e272d935520fb41ad481b","observation_id":"7eae8c72-2310-4ee4-a591-81ac0afb3df0","resolution":{"observed_at":"2026-08-06T17:19:19.872566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.10890","last_updated":"2025-02-06T13:58:17Z","snapshot_observed_at":"2026-08-06T09:10:23.466933Z","submitted_at":"2024-12-14T16:39:02Z","title":"Hypocoercivity meets lifts","version":2},"cited_work":{"arxiv_id":"2412.10890","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.10890","snapshot_observed_at":"2026-07-08T01:18:17.914750Z","title":"Brigati, F","venue":null,"work_id":"8ac298fa-bc34-4bc5-9fd3-7b865e6a2be0","year":2025},"citing_paper":{"arxiv_id":"2604.10068","last_updated":"2026-04-11T07:09:39Z","snapshot_observed_at":"2026-07-06T22:58:47.599383Z","submitted_at":"2026-04-11T07:09:39Z","title":"Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^2$ method","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T16:35:57.626054Z"},"links":{"cited_paper":"/paper/2412.10890","citing_paper":"/paper/2604.10068"},"observation_digest":"sha256:d3541ddbf1aa5323af0fe7d08819928325748abe0ae5940339019bbb8519590a","observation_id":"3e263f69-d26f-47c9-a852-af4d7ac05d87","resolution":{"observed_at":"2026-07-08T01:18:17.914750Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.10890/citation-record","integrity":"/paper/2412.10890/integrity","json":"/paper/2412.10890/citation-record.json","paper":"/paper/2412.10890"},"outbound":[],"paper":{"arxiv_id":"2412.10890","last_updated":"2025-02-06T13:58:17Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T09:10:23.466933Z","submitted_at":"2024-12-14T16:39:02Z","title":"Hypocoercivity meets lifts"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2412.10890."}