{"as_of":"2026-08-12T13:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fb1014529eb3b1653376a1f35ef13ae979102aab72f853c783121384a567de82","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":"2026-08-12T06:34:41.77262+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":"2026-06-30T10:06:09.333658Z","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":"2026-07-04T14:19:54.646842Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2111.04644","last_updated":"2021-11-08T17:15:28Z","snapshot_observed_at":"2026-07-06T12:06:35.380847Z","submitted_at":"2021-11-08T17:15:28Z","title":"Surface Quasi-Geostrophic Equation driven by Space-Time White Noise","version":1},"cited_work":{"arxiv_id":"2111.04644","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2111.04644","snapshot_observed_at":"2026-07-04T14:19:54.646842Z","title":"Forstner and M","venue":null,"work_id":"28541cea-b9a2-442a-aeee-29a0e80d43a6","year":2021},"citing_paper":{"arxiv_id":"2606.26788","last_updated":"2026-06-29T10:53:44Z","snapshot_observed_at":"2026-08-06T16:47:38.690453Z","submitted_at":"2026-06-25T09:22:50Z","title":"Mixed Third-Order Flux Laws for Dual Cascade in the Stochastic SQG Equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T04:02:09.067993Z"},"links":{"cited_paper":"/paper/2111.04644","citing_paper":"/paper/2606.26788"},"observation_digest":"sha256:a39a182b8ebbc46e5b612b43cf95e448b983e9433745adf2960881ceeeae5184","observation_id":"ac942799-56a4-4d65-8cc1-d41f141e8035","resolution":{"observed_at":"2026-07-04T14:19:54.648592Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2111.04644","last_updated":"2021-11-08T17:15:28Z","snapshot_observed_at":"2026-07-06T12:06:35.380847Z","submitted_at":"2021-11-08T17:15:28Z","title":"Surface Quasi-Geostrophic Equation driven by Space-Time White Noise","version":1},"cited_work":{"arxiv_id":"2111.04644","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2111.04644","snapshot_observed_at":"2026-07-04T14:19:54.646842Z","title":"Forstner and M","venue":null,"work_id":"28541cea-b9a2-442a-aeee-29a0e80d43a6","year":2021},"citing_paper":{"arxiv_id":"2606.26788","last_updated":"2026-06-29T10:53:44Z","snapshot_observed_at":"2026-08-06T16:47:38.690453Z","submitted_at":"2026-06-25T09:22:50Z","title":"Mixed Third-Order Flux Laws for Dual Cascade in the Stochastic SQG Equation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-30T10:06:09.333658Z"},"links":{"cited_paper":"/paper/2111.04644","citing_paper":"/paper/2606.26788"},"observation_digest":"sha256:a26f3b683d632d90b8839a7e8fa2b25858ef5d204c8c83d52a848c85cffc12a0","observation_id":"6efe2324-f582-4455-bb42-a2de6a75e1a3","resolution":{"observed_at":"2026-06-30T12:54:40.273203Z","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/2111.04644/citation-record","integrity":"/paper/2111.04644/integrity","json":"/paper/2111.04644/citation-record.json","paper":"/paper/2111.04644"},"outbound":[],"paper":{"arxiv_id":"2111.04644","last_updated":"2021-11-08T17:15:28Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T12:06:35.380847Z","submitted_at":"2021-11-08T17:15:28Z","title":"Surface Quasi-Geostrophic Equation driven by Space-Time White Noise"},"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 2 inbound Pith citation observations for arXiv:2111.04644."}