{"as_of":"2026-08-18T09:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c6d7d2c841fd5df3621f817bf6ebabbf2a1d3a772fcb5f6123c776dc72024527","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":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:20:55.582600Z","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":"2026-07-02T15:37:05.901646Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-12T18:29:14.483419Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.15178","last_updated":"2025-02-07T13:53:41Z","snapshot_observed_at":"2026-08-15T01:13:25.338210Z","submitted_at":"2024-11-18T12:35:03Z","title":"Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T18:29:14.483419Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2411.15178"},"observation_digest":"sha256:999fd2959d6a87b6ae4b7fcfc1cc706158def1ffda19cf57ed621ae04d7c8700","observation_id":"b1ec9ac8-6fe8-4dea-b03a-a046fc042324","resolution":{"observed_at":"2026-08-12T18:29:14.483419Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-16T11:20:55.582600Z","title":"Improved operator learning by orthogonal attention","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.15897","last_updated":"2025-04-22T13:40:04Z","snapshot_observed_at":"2026-08-16T11:13:10.399164Z","submitted_at":"2025-04-22T13:40:04Z","title":"SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-16T11:20:55.582600Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2504.15897"},"observation_digest":"sha256:3b7985f39b7cccf06c00faa10e8e80d984db840ab6037ee7ebf1c8377ec5bded","observation_id":"60f73612-51de-419c-a244-2c5714d210b1","resolution":{"observed_at":"2026-08-16T11:20:55.582600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-07T14:24:44.132186Z","title":"Improved operator learning by orthogonal attention.arXiv preprint arXiv:2310.12487,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.19105","last_updated":"2025-05-28T07:11:21Z","snapshot_observed_at":"2026-08-17T22:42:43.203726Z","submitted_at":"2025-05-25T11:51:31Z","title":"Latent Mamba Operator for Partial Differential Equations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:24:44.132186Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2505.19105"},"observation_digest":"sha256:a3bda3204c1b8303bffad9b70f1ab3cb1ba21641ae148f3f72c215eddd300cf4","observation_id":"be025000-b2a2-4815-be23-bd4a6fa6abb2","resolution":{"observed_at":"2026-08-07T14:24:44.132186Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-06T16:44:53.180785Z","title":"Im v d ning b h g n n i n","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.12719","last_updated":"2025-07-17T01:52:18Z","snapshot_observed_at":"2026-08-16T13:32:14.633702Z","submitted_at":"2025-07-17T01:52:18Z","title":"DPNO: A Dual Path Architecture For Neural Operator","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:44:53.180785Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2507.12719"},"observation_digest":"sha256:7ea69b4623f7527cea3d3ff06267cf2eb730aac7be86849bb85a995c0f931a7a","observation_id":"c0347129-9351-4aa9-93c0-eb77052acf7c","resolution":{"observed_at":"2026-08-06T16:44:53.180785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":"2310.12487","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-07-02T15:37:05.901646Z","title":"Improved operator learning by orthogonal attention","venue":null,"work_id":"9911903b-e45a-4816-b401-d6d238c258fb","year":2023},"citing_paper":{"arxiv_id":"2605.09016","last_updated":"2026-05-09T15:55:02Z","snapshot_observed_at":"2026-07-06T23:21:11.475005Z","submitted_at":"2026-05-09T15:55:02Z","title":"CATO: Charted Attention for Neural PDE Operators","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-12T01:54:41.006685Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2605.09016"},"observation_digest":"sha256:16d341577dfb0e5ed747000db5c06b91fb6d65ff49286b0ec518727976f829a9","observation_id":"2cb41dba-9a65-47e5-8f35-10f9d9b377b9","resolution":{"observed_at":"2026-05-12T01:56:15.065152Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":"2310.12487","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-07-02T15:37:05.901646Z","title":"Improved operator learning by orthogonal attention","venue":null,"work_id":"9911903b-e45a-4816-b401-d6d238c258fb","year":2023},"citing_paper":{"arxiv_id":"2607.01128","last_updated":"2026-07-01T16:14:22Z","snapshot_observed_at":"2026-08-13T03:01:29.795757Z","submitted_at":"2026-07-01T16:14:22Z","title":"GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-02T15:33:33.670669Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2607.01128"},"observation_digest":"sha256:5d4e5bb7b93f362a7f4b6af0b38a82bfc45de03bef3fe67dd2460e782aa1b2c0","observation_id":"b7a10063-475e-4111-9ea6-545c330187a3","resolution":{"observed_at":"2026-07-02T15:37:05.903237Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-10T18:54:43.985059Z","title":"arXiv preprint arXiv:2310.12487 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06894","last_updated":"2026-08-07T07:26:30Z","snapshot_observed_at":"2026-08-14T22:42:12.175602Z","submitted_at":"2026-08-07T07:26:30Z","title":"From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T18:54:43.985059Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2608.06894"},"observation_digest":"sha256:38ffd2baf468dd302b578245e09e8dc2b57520e79319d645a1eac95498a47dd7","observation_id":"b5c789b6-344a-4eab-b7c8-c4ecc88b87d5","resolution":{"observed_at":"2026-08-10T18:54:43.985059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12487","snapshot_observed_at":"2026-08-11T11:15:54.316355Z","title":"arXiv preprint arXiv:2310.12487 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.09764","last_updated":"2026-08-10T15:55:11Z","snapshot_observed_at":"2026-08-17T21:12:02.345378Z","submitted_at":"2026-08-10T15:55:11Z","title":"MoNo: Multiscale Optimal Transport Neural Operator for Solving PDEs on General Geometries","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T11:15:54.316355Z"},"links":{"cited_paper":"/paper/2310.12487","citing_paper":"/paper/2608.09764"},"observation_digest":"sha256:fa52b34e9a1fc712abfc3eceec2c1d188959954d7346849973b6a0ae88277c2c","observation_id":"a4352f38-c498-4ef2-8b95-7c7c321902c4","resolution":{"observed_at":"2026-08-11T11:15:54.316355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2310.12487/citation-record","integrity":"/paper/2310.12487/integrity","json":"/paper/2310.12487/citation-record.json","paper":"/paper/2310.12487"},"outbound":[],"paper":{"arxiv_id":"2310.12487","last_updated":"2024-12-26T07:56:34Z","latest_version":4,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T14:50:50.417521Z","submitted_at":"2023-10-19T05:47:28Z","title":"Improved Operator Learning by Orthogonal Attention"},"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 8 inbound Pith citation observations for arXiv:2310.12487."}