{"as_of":"2026-08-17T17:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7e480a9d2cd06e98063d930b59339582d243364a4542dbf0ff9474ea76f28620","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":"2026-08-17T06:30:58.91139+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":"2026-08-09T23:04:12.612655Z","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":"2026-08-06T21:19:04.028824Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.11678","last_updated":"2024-08-21T14:57:53Z","snapshot_observed_at":"2026-08-16T23:13:39.551875Z","submitted_at":"2024-08-21T14:57:53Z","title":"Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.11678","snapshot_observed_at":"2026-08-09T23:04:12.612655Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18561","last_updated":"2025-08-27T08:29:47Z","snapshot_observed_at":"2026-08-11T12:44:45.912166Z","submitted_at":"2025-01-30T18:36:28Z","title":"Nonlinear SPDEs and Maximal Regularity: An Extended Survey","version":5},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:04:12.612655Z"},"links":{"cited_paper":"/paper/2408.11678","citing_paper":"/paper/2501.18561"},"observation_digest":"sha256:8a60103e122d74cc7ba50bbf92813daae24dc7b4600667ac0df99f6847320d02","observation_id":"6743a022-b9f4-4292-a767-5a28909d52a4","resolution":{"observed_at":"2026-08-09T23:04:12.612655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11678","last_updated":"2024-08-21T14:57:53Z","snapshot_observed_at":"2026-08-16T23:13:39.551875Z","submitted_at":"2024-08-21T14:57:53Z","title":"Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs","version":1},"cited_work":{"arxiv_id":"2408.11678","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.11678","snapshot_observed_at":"2026-08-06T21:19:04.028824Z","title":"Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs","venue":"math.AP","work_id":"784fa272-4741-4942-a0d6-f6ea7522ee4d","year":2024},"citing_paper":{"arxiv_id":"2507.00787","last_updated":"2025-07-01T14:23:40Z","snapshot_observed_at":"2026-08-13T10:53:35.005100Z","submitted_at":"2025-07-01T14:23:40Z","title":"Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T21:18:59.827010Z"},"links":{"cited_paper":"/paper/2408.11678","citing_paper":"/paper/2507.00787"},"observation_digest":"sha256:8ea8cc8a9b558fe5bbbe44807164eb18b58b3a1f9a5460783cb7a679139173c9","observation_id":"f3ec1cae-5cac-47fe-bed9-0fb28682b662","resolution":{"observed_at":"2026-08-06T21:19:04.172791Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.11678/citation-record","integrity":"/paper/2408.11678/integrity","json":"/paper/2408.11678/citation-record.json","paper":"/paper/2408.11678"},"outbound":[],"paper":{"arxiv_id":"2408.11678","last_updated":"2024-08-21T14:57:53Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T23:13:39.551875Z","submitted_at":"2024-08-21T14:57:53Z","title":"Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.11678."}