{"as_of":"2026-08-12T13:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b2e819317c7e58c64413426d0bf122da9d380d35851d2317a8bb2d8e60bf51d","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":"2026-08-12T06:34:41.77262+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":"2026-08-11T05:16:05.867430Z","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":"2026-05-19T10:12:14.532300Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.14434","last_updated":"2025-01-08T12:19:46Z","snapshot_observed_at":"2026-08-12T09:02:10.480046Z","submitted_at":"2024-02-22T10:26:46Z","title":"Parallelized Midpoint Randomization for Langevin Monte Carlo","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.14434","snapshot_observed_at":"2026-08-11T05:16:05.867430Z","title":"Logarithmic Sobolev inequalities on noncompact Riemannian manifolds","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.17997","last_updated":"2024-12-23T21:40:01Z","snapshot_observed_at":"2026-08-12T04:31:20.615929Z","submitted_at":"2024-12-23T21:40:01Z","title":"Shifted Composition III: Local Error Framework for KL Divergence","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T05:16:05.867430Z"},"links":{"cited_paper":"/paper/2402.14434","citing_paper":"/paper/2412.17997"},"observation_digest":"sha256:43a30311944fc5b0c4d47ac946409fef28de722062a678e1d26054570b5394e6","observation_id":"6904c092-2ca9-468e-bd0d-f89c2fa5d18c","resolution":{"observed_at":"2026-08-11T05:16:05.867430Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.14434","last_updated":"2025-01-08T12:19:46Z","snapshot_observed_at":"2026-08-12T09:02:10.480046Z","submitted_at":"2024-02-22T10:26:46Z","title":"Parallelized Midpoint Randomization for Langevin Monte Carlo","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.14434","snapshot_observed_at":"2026-08-08T21:18:48.964376Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.04849","last_updated":"2025-02-07T11:37:51Z","snapshot_observed_at":"2026-08-09T15:15:09.209750Z","submitted_at":"2025-02-07T11:37:51Z","title":"Advancing Wasserstein Convergence Analysis of Score-Based Models: Insights from Discretization and Second-Order Acceleration","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-08T21:18:48.964376Z"},"links":{"cited_paper":"/paper/2402.14434","citing_paper":"/paper/2502.04849"},"observation_digest":"sha256:33523484f55ad143b11462ed27eb94ba78168f5886423315e9e847ae991f33d5","observation_id":"0db44e77-3318-4503-a4c6-34c0b67ab02c","resolution":{"observed_at":"2026-08-08T21:18:48.964376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.14434","last_updated":"2025-01-08T12:19:46Z","snapshot_observed_at":"2026-08-12T09:02:10.480046Z","submitted_at":"2024-02-22T10:26:46Z","title":"Parallelized Midpoint Randomization for Langevin Monte Carlo","version":4},"cited_work":{"arxiv_id":"2402.14434","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2402.14434","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Yu and A","venue":null,"work_id":"fc38eb60-a789-4767-a0f2-720ca0dbee73","year":null},"citing_paper":{"arxiv_id":"2506.09762","last_updated":"2026-03-10T07:41:55Z","snapshot_observed_at":"2026-07-06T21:40:26.217708Z","submitted_at":"2025-06-11T14:03:55Z","title":"Parallel computations for Metropolis Markov chains with Picard maps","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-19T10:10:40.321432Z"},"links":{"cited_paper":"/paper/2402.14434","citing_paper":"/paper/2506.09762"},"observation_digest":"sha256:f98783b6d76fdeb9b66f8fa55b5c2f3a7d6e5a768fee456fb288a9027d2534ee","observation_id":"f0d4bb8e-65d6-40ba-b6b7-d473451853b1","resolution":{"observed_at":"2026-05-19T10:12:14.533670Z","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/2402.14434/citation-record","integrity":"/paper/2402.14434/integrity","json":"/paper/2402.14434/citation-record.json","paper":"/paper/2402.14434"},"outbound":[],"paper":{"arxiv_id":"2402.14434","last_updated":"2025-01-08T12:19:46Z","latest_version":4,"primary_category":"math.ST","snapshot_observed_at":"2026-08-12T09:02:10.480046Z","submitted_at":"2024-02-22T10:26:46Z","title":"Parallelized Midpoint Randomization for Langevin Monte Carlo"},"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":"2026-08-12T06:34:41.77262+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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2402.14434."}