{"as_of":"2026-08-08T12:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3c42a9ce24ee211211638f3f8fae5b69369a2393dc0625d36d26ee60e70a92f","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:01:37.961575Z","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":"2026-08-06T18:16:30.548575Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.04439","last_updated":"2020-08-16T16:32:02Z","snapshot_observed_at":"2026-08-03T16:37:30.689807Z","submitted_at":"2020-07-08T21:23:19Z","title":"Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.04439","snapshot_observed_at":"2026-08-07T14:01:37.961575Z","title":"de Avila Belbute-Peres, T","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2505.20404","last_updated":"2025-09-02T05:43:33Z","snapshot_observed_at":"2026-08-07T13:52:52.900804Z","submitted_at":"2025-05-26T18:00:09Z","title":"Co-Design of Soft Gripper with Neural Physics","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:37.961575Z"},"links":{"cited_paper":"/paper/2007.04439","citing_paper":"/paper/2505.20404"},"observation_digest":"sha256:6aa61e7746381b145ea4f66069e0c93062ed9de3f50eb5f5f51e93aea4e0bc81","observation_id":"c7b83356-3c2a-4891-a479-625b0b7906da","resolution":{"observed_at":"2026-08-07T14:01:37.961575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04439","last_updated":"2020-08-16T16:32:02Z","snapshot_observed_at":"2026-08-03T16:37:30.689807Z","submitted_at":"2020-07-08T21:23:19Z","title":"Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.04439","snapshot_observed_at":"2026-08-06T16:31:00.363975Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.13459","last_updated":"2025-07-17T18:09:19Z","snapshot_observed_at":"2026-08-06T16:21:39.817346Z","submitted_at":"2025-07-17T18:09:19Z","title":"Graph Neural Network Surrogates for Contacting Deformable Bodies with Necessary and Sufficient Contact Detection","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:31:00.363975Z"},"links":{"cited_paper":"/paper/2007.04439","citing_paper":"/paper/2507.13459"},"observation_digest":"sha256:4c0c34b72a7fa89b68447b9f6b8d0dfef7cf7580982aadb85bd1470c1c464691","observation_id":"a5726e30-25d9-4957-a15b-b90c2d11c190","resolution":{"observed_at":"2026-08-06T16:31:00.363975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04439","last_updated":"2020-08-16T16:32:02Z","snapshot_observed_at":"2026-08-03T16:37:30.689807Z","submitted_at":"2020-07-08T21:23:19Z","title":"Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction","version":3},"cited_work":{"arxiv_id":"2007.04439","doi":"10.48550/arxiv.2007.04439","metadata_source":"pith","pith_arxiv_id":"2007.04439","snapshot_observed_at":"2026-08-06T18:16:30.548575Z","title":"Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction","venue":"cs.LG","work_id":"d5b99ad0-ade0-4dd3-a53b-ca41759aa36f","year":2020},"citing_paper":{"arxiv_id":"2507.15787","last_updated":"2026-07-16T19:41:01Z","snapshot_observed_at":"2026-08-07T06:51:00.092330Z","submitted_at":"2025-07-21T16:42:34Z","title":"Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:30:27.010167Z"},"links":{"cited_paper":"/paper/2007.04439","citing_paper":"/paper/2507.15787"},"observation_digest":"sha256:d2706062a0aedf84f6d693d4fa5f6b222d3fa0df610c640ca9e77ca761aa0a14","observation_id":"a873744a-43dc-42f5-af82-55a884538faf","resolution":{"observed_at":"2026-08-06T15:30:27.151219Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2007.04439/citation-record","integrity":"/paper/2007.04439/integrity","json":"/paper/2007.04439/citation-record.json","paper":"/paper/2007.04439"},"outbound":[],"paper":{"arxiv_id":"2007.04439","last_updated":"2020-08-16T16:32:02Z","latest_version":3,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-03T16:37:30.689807Z","submitted_at":"2020-07-08T21:23:19Z","title":"Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2007.04439."}