{"as_of":"2026-08-09T17:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2c743e50d86b6e02e27518058708544d7917b38bfd39756dc72210b1fbc70420","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":"2026-08-09T06:31:02.800959+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":"2026-08-06T16:30:09.963582Z","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":"2026-08-06T16:30:10.362367Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2307.05012","last_updated":"2024-01-29T20:49:46Z","snapshot_observed_at":"2026-08-08T12:22:35.903022Z","submitted_at":"2023-07-11T04:55:39Z","title":"Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs","version":2},"cited_work":{"arxiv_id":"2307.05012","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.05012","snapshot_observed_at":"2026-08-06T16:30:10.362367Z","title":"Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs","venue":"math.NA","work_id":"904ec27d-e76f-45e3-9743-3fd6efc40de0","year":2023},"citing_paper":{"arxiv_id":"2507.13475","last_updated":"2025-07-17T18:35:11Z","snapshot_observed_at":"2026-08-08T21:20:55.907672Z","submitted_at":"2025-07-17T18:35:11Z","title":"Expansive Natural Neural Gradient Flows for Energy Minimization","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T16:30:09.963582Z"},"links":{"cited_paper":"/paper/2307.05012","citing_paper":"/paper/2507.13475"},"observation_digest":"sha256:953e85102b931defbcad3b22ad991fad31d34b504a0d4c4b076ce0daa4ef8a85","observation_id":"f938a8ae-12db-4318-bbdd-98bc62b57f75","resolution":{"observed_at":"2026-08-06T16:30:10.365337Z","resolver_source":"local_arxiv","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"}}],"links":{"evidence":"/evidence","html":"/paper/2307.05012/citation-record","integrity":"/paper/2307.05012/integrity","json":"/paper/2307.05012/citation-record.json","paper":"/paper/2307.05012"},"outbound":[],"paper":{"arxiv_id":"2307.05012","last_updated":"2024-01-29T20:49:46Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-08T12:22:35.903022Z","submitted_at":"2023-07-11T04:55:39Z","title":"Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs"},"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 1 inbound Pith citation observation for arXiv:2307.05012."}