{"as_of":"2026-08-08T19:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f50b8412e33f8121a7c15138a072309d2329d7e91703d60d52afef1aaf2a17b3","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T00:03:04.124429Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2508.04463/citation-record","integrity":"/paper/2508.04463/integrity","json":"/paper/2508.04463/citation-record.json","paper":"/paper/2508.04463"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:03:04.416935Z","title":"In International Conference on Machine Learning, 21658–21671","venue":null,"work_id":"25671ef1-3c55-4c74-bcd8-1a6aa8279ba4","year":2022},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:03.960979Z"},"links":{"citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:58565ea136ac94fc085e65663dcba5eaadefe0543e69ad681fb7545cbf660d5a","observation_id":"d8754cd4-b92e-4065-ab60-11de587b6237","resolution":{"observed_at":"2026-08-06T00:03:04.513843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":{"arxiv_id":"2204.11127","last_updated":"2023-05-05T05:51:05Z","snapshot_observed_at":"2026-07-06T13:03:07.826337Z","submitted_at":"2022-04-23T19:18:44Z","title":"U-NO: U-shaped Neural Operators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.11127","snapshot_observed_at":"2026-08-06T00:03:04.124429Z","title":"arXiv preprint arXiv:2204.11127","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:04.124429Z"},"links":{"cited_paper":"/paper/2204.11127","citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:2a103d950373c9d212c98619d9ff56f4671428a577abedf4500c3ac6994746fc","observation_id":"aaa3d6b3-9c2e-447f-93ba-21f86e1de685","resolution":{"observed_at":"2026-08-06T00:03:04.124429Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.08895","last_updated":"2021-05-17T03:12:33Z","snapshot_observed_at":"2026-07-06T10:05:26.653366Z","submitted_at":"2020-10-18T00:34:21Z","title":"Fourier Neural Operator for Parametric Partial Differential Equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.08895","snapshot_observed_at":"2026-08-06T00:03:03.876237Z","title":"In International conference on machine learning, 5156–5165","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:03.876237Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:99b6bc5086590f0c6455b1afa98332b7da94046c4e8f7ad7341bd57f8ceff2e4","observation_id":"cec7cd6c-d46d-42e1-a6f6-7316de00a236","resolution":{"observed_at":"2026-08-06T00:03:03.876237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:03:04.278415Z","title":"Nature machine intelligence, 3(3): 218–229","venue":null,"work_id":"17068c44-4ff7-4faf-bf00-e0af83d00556","year":2022},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:04.047017Z"},"links":{"citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:6b9fb6059bb140c2b08519d22838c7ab4fe027c29c467304040278ea86e7bb95","observation_id":"1435e446-1d29-4652-adb7-65c46cab9f21","resolution":{"observed_at":"2026-08-06T00:03:04.364678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10509","last_updated":"2019-04-23T19:29:47Z","snapshot_observed_at":"2026-08-06T08:05:35.311510Z","submitted_at":"2019-04-23T19:29:47Z","title":"Generating Long Sequences with Sparse Transformers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.10509","snapshot_observed_at":"2026-08-06T00:03:03.739133Z","title":"Advances in Neural Information Process- ing Systems, 35: 23463–23478","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:03.739133Z"},"links":{"cited_paper":"/paper/1904.10509","citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:6f05a6e562ae5376efbef7a24a2985ffc6d105239df19b10082a3983b6bd6941","observation_id":"edb4c9c2-dc7e-4334-a4b3-f35f4fd01940","resolution":{"observed_at":"2026-08-06T00:03:03.739133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:03:04.606754Z","title":"Advances in Neu- ral Information Processing Systems, 36: 51830–51861","venue":null,"work_id":"1912e459-86de-4d10-86de-ccb8fa5b902d","year":2023},"citing_paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T00:03:03.792892Z"},"links":{"citing_paper":"/paper/2508.04463"},"observation_digest":"sha256:747ebb805e05bd4734b4272a1135f05b235cc7029cba7dba0246742f0a9e9373","observation_id":"2302fa8c-3e1f-4777-b7d1-633293df67b9","resolution":{"observed_at":"2026-08-06T00:03:04.682966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2508.04463","last_updated":"2025-08-06T14:02:39Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-06T00:02:45.845232Z","submitted_at":"2025-08-06T14:02:39Z","title":"GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":6},"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 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2508.04463."}