{"as_of":"2026-08-15T19:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e1adbdef5cf7c02091f2ebba9667be7b227456331d9e926c585d34055fb1c1e8","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":"2026-08-15T06:32:42.880941+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":"2026-08-14T14:21:23.795742Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T14:21:24.165920Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1811.07808","last_updated":"2021-06-22T14:14:05Z","snapshot_observed_at":"2026-08-14T17:56:42.285347Z","submitted_at":"2018-11-19T17:11:19Z","title":"Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity","version":3},"cited_work":{"arxiv_id":"1811.07808","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.07808","snapshot_observed_at":"2026-08-14T14:21:24.165920Z","title":"Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity","venue":"math.AP","work_id":"16cc09f9-c98c-43a0-b662-69a5350c1d01","year":2018},"citing_paper":{"arxiv_id":"1908.03490","last_updated":"2020-12-17T14:35:21Z","snapshot_observed_at":"2026-08-15T04:13:25.194680Z","submitted_at":"2019-08-09T15:14:54Z","title":"Comparing the stochastic nonlinear wave and heat equations: a case study","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:21:23.795742Z"},"links":{"cited_paper":"/paper/1811.07808","citing_paper":"/paper/1908.03490"},"observation_digest":"sha256:be81b8e1788fef47ed52a2962333c39a6e0cc261ca4dbb5245f5b90cd489c3da","observation_id":"cd15a23d-11eb-44d6-9f0e-299a7a57b2ad","resolution":{"observed_at":"2026-08-14T14:21:24.171930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.07808","last_updated":"2021-06-22T14:14:05Z","snapshot_observed_at":"2026-08-14T17:56:42.285347Z","submitted_at":"2018-11-19T17:11:19Z","title":"Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.07808","snapshot_observed_at":"2026-08-05T00:27:29.921984Z","title":"arXiv preprint arXiv:1811.07808 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.00838","last_updated":"2026-08-01T19:42:48Z","snapshot_observed_at":"2026-08-11T10:26:58.623924Z","submitted_at":"2026-08-01T19:42:48Z","title":"On the role of positivity preservation for high order approximations of the Dean--Kawasaki equation","version":1},"reference_index":164,"source":"arxiv_source","source_observed_at":"2026-08-05T00:27:29.921984Z"},"links":{"cited_paper":"/paper/1811.07808","citing_paper":"/paper/2608.00838"},"observation_digest":"sha256:fec0cf4ba2c9f5da98357d64c10109fc2fa336538b12aa30d8fe29f970af4e90","observation_id":"c914378f-a7fa-4bf7-a099-d8d4eec023a0","resolution":{"observed_at":"2026-08-05T00:27:29.921984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1811.07808/citation-record","integrity":"/paper/1811.07808/integrity","json":"/paper/1811.07808/citation-record.json","paper":"/paper/1811.07808"},"outbound":[],"paper":{"arxiv_id":"1811.07808","last_updated":"2021-06-22T14:14:05Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T17:56:42.285347Z","submitted_at":"2018-11-19T17:11:19Z","title":"Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1811.07808."}