{"as_of":"2026-08-08T13:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:efc0964c5a08256d85b7000bd9503218203570473b74b284ca430f48c13d68d8","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:27:44.054494Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-16T23:08:40.091378Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-08-07T14:27:44.054494Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.18857","last_updated":"2025-05-24T20:27:16Z","snapshot_observed_at":"2026-08-08T07:12:33.861005Z","submitted_at":"2025-05-24T20:27:16Z","title":"Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T14:27:44.054494Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2505.18857"},"observation_digest":"sha256:57024e8a679919e9ced829bc6dc858aa0eaa7c425ab0db9e9324a62086114c24","observation_id":"b6f77f90-c99a-4b4c-a34f-be58c7259ed1","resolution":{"observed_at":"2026-08-07T14:27:44.054494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-08-06T20:09:50.090635Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.03660","last_updated":"2026-06-10T19:46:38Z","snapshot_observed_at":"2026-08-06T20:02:23.283113Z","submitted_at":"2025-07-04T15:36:15Z","title":"Single vs. Multiple Branches in DeepONet and S-DeepONet: Network Architecture Follows Coupling in Multiphysics Systems","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:09:50.090635Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2507.03660"},"observation_digest":"sha256:0145df26cb8a3885caeb8c210d2fbbab21e2297be1e1f4676e6e69c766078da7","observation_id":"0498348c-b2c4-4d57-b3bf-a3bd5a953217","resolution":{"observed_at":"2026-08-06T20:09:50.090635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":"2503.17797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797","venue":null,"work_id":"bcae5f21-25b6-4b7d-b321-cfb9cc4444bd","year":2025},"citing_paper":{"arxiv_id":"2512.10723","last_updated":"2026-04-09T01:10:39Z","snapshot_observed_at":"2026-07-06T22:38:45.907386Z","submitted_at":"2025-12-11T15:05:33Z","title":"Generalized Spherical Neural Operators: Green's Function Formulation","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-16T23:05:33.582759Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2512.10723"},"observation_digest":"sha256:e505886243815edce91a0096ee813c07e4d39addd43df7a3a1206a82d9434730","observation_id":"34af75c8-c2c5-4978-b776-ae5088b698a3","resolution":{"observed_at":"2026-05-16T23:08:40.093560Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":"2503.17797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797","venue":null,"work_id":"bcae5f21-25b6-4b7d-b321-cfb9cc4444bd","year":2025},"citing_paper":{"arxiv_id":"2604.20372","last_updated":"2026-04-22T09:12:23Z","snapshot_observed_at":"2026-08-02T18:01:40.614066Z","submitted_at":"2026-04-22T09:12:23Z","title":"AI models of unstable flow exhibit hallucination","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-09T23:58:31.542786Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2604.20372"},"observation_digest":"sha256:043479604b55aa466296f3d0f505593035bad1e43cd3662b38be6f7f95dc5729","observation_id":"bc42de41-382b-478f-8989-bd4d7253e74b","resolution":{"observed_at":"2026-05-11T13:51:04.003225Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":"2503.17797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797","venue":null,"work_id":"bcae5f21-25b6-4b7d-b321-cfb9cc4444bd","year":2025},"citing_paper":{"arxiv_id":"2604.26745","last_updated":"2026-04-29T14:43:21Z","snapshot_observed_at":"2026-08-03T04:50:19.023913Z","submitted_at":"2026-04-29T14:43:21Z","title":"Robust Model-Based Iteration for Passive Gamma Emission Tomography","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-07T12:40:13.947200Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2604.26745"},"observation_digest":"sha256:b0c0c69ace45b54b1780a7d25bd9455f88933ea1f53d3fbc0d5f427af54fa06f","observation_id":"0360ae7b-054a-44d4-9672-ff94da86ccbc","resolution":{"observed_at":"2026-05-12T09:11:25.701192Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":"2503.17797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797","venue":null,"work_id":"bcae5f21-25b6-4b7d-b321-cfb9cc4444bd","year":2025},"citing_paper":{"arxiv_id":"2605.04198","last_updated":"2026-05-05T18:40:59Z","snapshot_observed_at":"2026-07-06T23:16:59.568304Z","submitted_at":"2026-05-05T18:40:59Z","title":"Deep Wave Network for Modeling Multi-Scale Physical Dynamics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-08T17:33:24.661591Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2605.04198"},"observation_digest":"sha256:f8ec7abf63ee7a754f292659a4b251b4d6e9d582b58a0d87a0c1722e40a5ddbc","observation_id":"4a743352-1101-4022-b7f4-85c76946f223","resolution":{"observed_at":"2026-05-11T17:31:04.930476Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features","version":2},"cited_work":{"arxiv_id":"2503.17797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Enhancing fourier neural operators with local spatial features.arXiv preprint arXiv:2503.17797","venue":null,"work_id":"bcae5f21-25b6-4b7d-b321-cfb9cc4444bd","year":2025},"citing_paper":{"arxiv_id":"2605.12965","last_updated":"2026-05-13T04:00:43Z","snapshot_observed_at":"2026-08-04T22:44:52.439031Z","submitted_at":"2026-05-13T04:00:43Z","title":"U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-14T20:31:02.246184Z"},"links":{"cited_paper":"/paper/2503.17797","citing_paper":"/paper/2605.12965"},"observation_digest":"sha256:a09c755a36eeddcfd4e3a05cde2f9eef503c2d8fdde4680a75f277693cd2da0d","observation_id":"c1cee4d6-e4d3-4019-a335-134b9fe364f5","resolution":{"observed_at":"2026-05-14T20:39:28.987149Z","resolver_source":"arxiv_id","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/2503.17797/citation-record","integrity":"/paper/2503.17797/integrity","json":"/paper/2503.17797/citation-record.json","paper":"/paper/2503.17797"},"outbound":[],"paper":{"arxiv_id":"2503.17797","last_updated":"2025-06-03T22:17:15Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T16:44:07.559555Z","submitted_at":"2025-03-22T15:11:56Z","title":"Enhancing Fourier Neural Operators with Local Spatial Features"},"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 7 inbound Pith citation observations for arXiv:2503.17797."}