{"as_of":"2026-08-14T01:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2ec057ee5ff664db6bd2b69dc593ad923f3ba4ba281121cde09e5b060650152c","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-04T11:57:44.117195Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2508.01794","last_updated":"2026-08-03T03:00:14Z","snapshot_observed_at":"2026-08-06T23:27:50.587765Z","submitted_at":"2025-08-03T15:11:48Z","title":"Exponential mixing for the stochastic Kuramoto-Sivashinsky equation on the 1D torus","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.01794","snapshot_observed_at":"2026-08-04T11:57:44.117195Z","title":"Gao and H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.03670","last_updated":"2026-07-29T01:35:23Z","snapshot_observed_at":"2026-08-06T22:54:09.637418Z","submitted_at":"2025-10-04T04:52:04Z","title":"Fully discrete finite element methods for the stochastic Kuramoto-Sivashinsky equation with multiplicative noise","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T11:57:44.117195Z"},"links":{"cited_paper":"/paper/2508.01794","citing_paper":"/paper/2510.03670"},"observation_digest":"sha256:c277c6625beb07c8f773dd457715095e4b788b24c7bfd9dd8d17ff4203fa3b63","observation_id":"ad8ef26b-6c8b-43d5-aeb8-2e8d85b139c8","resolution":{"observed_at":"2026-08-04T11:57:44.117195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2508.01794/citation-record","integrity":"/paper/2508.01794/integrity","json":"/paper/2508.01794/citation-record.json","paper":"/paper/2508.01794"},"outbound":[],"paper":{"arxiv_id":"2508.01794","last_updated":"2026-08-03T03:00:14Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T23:27:50.587765Z","submitted_at":"2025-08-03T15:11:48Z","title":"Exponential mixing for the stochastic Kuramoto-Sivashinsky equation on the 1D torus"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2508.01794."}