{"as_of":"2026-08-09T10:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:acb6ad12b67943c8dbfb0960152daa991e7855605b3715316c06045c540e1041","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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":"2026-08-02T03:31:23.981047Z","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":"2026-05-10T09:18:32.778172Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.04746","last_updated":"2023-08-14T21:50:42Z","snapshot_observed_at":"2026-07-06T08:14:10.191646Z","submitted_at":"2019-08-13T17:05:46Z","title":"On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics","version":7},"cited_work":{"arxiv_id":"1908.04746","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.04746","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Onexplicit𝐿 2-convergencerateesti- mateforunderdampedLangevindynamics","venue":null,"work_id":"e86e390b-d58f-4639-ac50-c7785bd749f7","year":1908},"citing_paper":{"arxiv_id":"2604.16842","last_updated":"2026-04-18T05:24:35Z","snapshot_observed_at":"2026-07-06T23:04:05.813982Z","submitted_at":"2026-04-18T05:24:35Z","title":"Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-10T07:13:10.140500Z"},"links":{"cited_paper":"/paper/1908.04746","citing_paper":"/paper/2604.16842"},"observation_digest":"sha256:38af63c492e1027f17056fc965c975723f85e603e92d1adc10c80bbbd26776ba","observation_id":"5eb64ea6-c498-4575-8d5f-6b2c6a0b3860","resolution":{"observed_at":"2026-05-10T09:18:32.780871Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"1908.04746","last_updated":"2023-08-14T21:50:42Z","snapshot_observed_at":"2026-07-06T08:14:10.191646Z","submitted_at":"2019-08-13T17:05:46Z","title":"On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.04746","snapshot_observed_at":"2026-08-02T03:31:23.981047Z","title":"[EH00] Jean-Pierre Eckmann and Martin Hairer,Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators, Communications in Mathematical Physics212(2000), no","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"2607.13953","last_updated":"2026-07-15T15:40:08Z","snapshot_observed_at":"2026-08-08T03:13:24.626446Z","submitted_at":"2026-07-15T15:40:08Z","title":"Log-Sobolev inequalities for boundary-driven anharmonic chains","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-02T03:31:23.981047Z"},"links":{"cited_paper":"/paper/1908.04746","citing_paper":"/paper/2607.13953"},"observation_digest":"sha256:e8b3b7f21d356212c570d691f71b354661efd299b7cb3cfa416250a455c682e2","observation_id":"9cf8e7d5-9691-43c7-95a3-6861240c2084","resolution":{"observed_at":"2026-08-02T03:31:23.981047Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.04746/citation-record","integrity":"/paper/1908.04746/integrity","json":"/paper/1908.04746/citation-record.json","paper":"/paper/1908.04746"},"outbound":[],"paper":{"arxiv_id":"1908.04746","last_updated":"2023-08-14T21:50:42Z","latest_version":7,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T08:14:10.191646Z","submitted_at":"2019-08-13T17:05:46Z","title":"On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics"},"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 2 inbound Pith citation observations for arXiv:1908.04746."}