{"as_of":"2026-08-18T18:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4c853cf88a8eb37be6271b4c1b3a47a25fa6698789c5c6f5fa95162a2bd4b877","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":"2026-08-18T06:34:40.430872+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":"2026-08-11T05:20:03.436944Z","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":"2026-08-11T05:20:03.708326Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2308.03461","last_updated":"2023-08-07T10:39:40Z","snapshot_observed_at":"2026-08-18T07:11:53.181783Z","submitted_at":"2023-08-07T10:39:40Z","title":"Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks","version":1},"cited_work":{"arxiv_id":"2308.03461","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.03461","snapshot_observed_at":"2026-08-11T05:20:03.708326Z","title":"Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks","venue":"math.NA","work_id":"ed6a01cf-8a67-46ed-9291-79cd6922baab","year":2023},"citing_paper":{"arxiv_id":"2412.17695","last_updated":"2024-12-23T16:20:04Z","snapshot_observed_at":"2026-08-15T17:36:19.783337Z","submitted_at":"2024-12-23T16:20:04Z","title":"Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T05:20:03.436944Z"},"links":{"cited_paper":"/paper/2308.03461","citing_paper":"/paper/2412.17695"},"observation_digest":"sha256:ed1540cc7a2801dde0a61d44e24bb5474cb629d236d6c98b1bca9e4e7eb18c80","observation_id":"202b83a8-872f-401b-b024-26105fb76c9d","resolution":{"observed_at":"2026-08-11T05:20:03.715232Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2308.03461/citation-record","integrity":"/paper/2308.03461/integrity","json":"/paper/2308.03461/citation-record.json","paper":"/paper/2308.03461"},"outbound":[],"paper":{"arxiv_id":"2308.03461","last_updated":"2023-08-07T10:39:40Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-18T07:11:53.181783Z","submitted_at":"2023-08-07T10:39:40Z","title":"Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2308.03461."}