{"as_of":"2026-08-07T00:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dd46424ba6760cca064ec336b06ee1062183dffd30330ff205854761a1d17af6","coverage":[{"denominator":61,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":61,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T13:24:09.972206Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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/2606.10752/citation-record","integrity":"/paper/2606.10752/integrity","json":"/paper/2606.10752/citation-record.json","paper":"/paper/2606.10752"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"2012 , publisher=","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:1264c819d5e199e5104d9b29f3c73e79bebec92904c2e68e707fbe09417a2462","observation_id":"21f7037d-dd51-4773-be2f-7b2f74ad16da","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Archive of numerical software , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:f0ac5876138e665ca0c6eca7ec6e60ed1c40304b671e2234632f1325f057d22a","observation_id":"17c8fc3c-de5f-4206-93d4-0c72fe9fb269","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"ACM Transactions on Mathematical Software (TOMS) , volume=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:ad6c2c217406e613b4666ab8c5679b3a46c4aba3cd2504323ff762f9a3e25b6d","observation_id":"2324c68c-e8c3-401e-8c77-5fbe7147f426","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"II—a general-purpose object-oriented finite element library , author=","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:c3d05decd50f5fdc2b4664e72a9200a7e617a429f13df6a208bf03b463e1fa08","observation_id":"aee30b1e-117b-426f-b872-2dac544eb4a8","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Computers & Fluids , volume=","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:d012e5a25bac42a05d1b99fdb8470a9140838c3fbad75ea61f5b3c369d3664f2","observation_id":"9a1a8a30-edae-46a1-9df3-e47dfac8daee","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Calcolo , volume=","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:e6951b3c921c876e7a98794152fee3a5fd671684131b36a9735859eef1221e57","observation_id":"8c8dfc4c-4633-44a8-a4e1-a94c948139a9","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Mathematical Aspects of Finite Element Methods: Proceedings of the Conference Held in Rome, December 10--12, 1975 , pages=","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:0b403d414ea5f4bbcf1b1b44988dc8f9a8485ee3dd9703b453933257dcbb4198","observation_id":"b25f9f4d-83c1-4c72-acdb-4f5585a479e9","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Computer methods in applied mechanics and engineering , volume=","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:2fb9515c256ab9dc52732f264338ba5d3cd709136c7d1ffe510ef37a97fc2abe","observation_id":"2dbe4625-b211-4895-ad26-996f2a900cd3","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"The Galerkin/least-squares method for advective-diffusive equations , author=","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:4a54d7bfb2e46d3446bdf6c30210fec948bc8e94393dbf91fabbcf814c3df54c","observation_id":"eacb55b6-2ed2-4256-89f3-f51a8681334f","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"SIAM Journal on scientific and statistical computing , volume=","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:7f95e544239212303a5bb49147bd89e05625a04bedac243f95cb6af554033a0b","observation_id":"f8196b49-551a-4a0d-b86b-c9390379ab36","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"2003 , publisher=","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:59b0fb458dab9db57d63dfc848eab03a7be8e3fa5521cc9cf41e9b07d81f28c0","observation_id":"bcd3f3c0-30fe-4d20-8aa0-2193a797079e","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Multigrid methods , pages=","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:4e8f86a50cc13baeb74e8d4e1b1e565c64f685ee707ff9f4630dd85026d4157e","observation_id":"7fd5b775-ee73-4849-8941-bd933e487b57","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Acta numerica , volume=","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:1296fc2e2091f35dfcf2df27b80c0a28ed44fe35278480f2689c30d94e4008a5","observation_id":"81f1c62d-ee47-4dda-a4f9-347290ddaea6","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"2014 , publisher=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:24f7f5c38ceb5a251b9a6bd2def995eecad561ed970baa49fd11b754609c59ac","observation_id":"333ed78a-c2f6-429b-96c0-ae1b272bb6b3","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"2013 , publisher=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:32e87c14d6c456af695fea7f6fd775cec625be8ec752a30883507194d8f9cec9","observation_id":"ca732770-2111-4bf1-aad1-02b4e032c096","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Computer methods in applied mechanics and engineering , volume=","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:f2a743fec4fe386a572adb6b25a71d03041b6c7ed15b88a1f4c5d98d0191a041","observation_id":"ae79ec88-a4f4-4531-a8d3-ab11863749b0","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"SIAM review , volume=","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:4a3243b312642624c87ea1aa3dc3cabe4cd49ecf4437ce2175aebc183a3e1540","observation_id":"b58b4012-ce49-41fb-9b71-f197451b9645","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:74f0be687aa563a943b4c354851405a17939c7844e741a780d75f237a03f1257","observation_id":"5a37c4b2-86bc-420d-90a6-d7f3dc0ef377","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.06770","last_updated":"2024-11-11T23:05:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-10-10T16:47:29Z","title":"SWE-bench: Can Language Models Resolve Real-World GitHub Issues?","version":3},"cited_work":{"arxiv_id":"2310.06770","doi":"10.1145/512927.512945","metadata_source":"pith","pith_arxiv_id":"2310.06770","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"SWE-bench: Can Language Models Resolve Real-World GitHub Issues?","venue":"cs.CL","work_id":"d0effe15-a689-441a-8e3f-ea35f1c4e4b1","year":2023},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2310.06770","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:b1317e78c4dfe0c0e4910ad69072f9c116e12dc104b30027de6ca5c84d1a4628","observation_id":"d74f71b6-992f-49fe-8f50-ed201c237b7d","resolution":{"observed_at":"2026-07-03T05:07:39.220565Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.25803","doi":"10.48550/arxiv.2510.25803","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv preprint arXiv:2510.25803 , year=","venue":"arXiv (Cornell University)","work_id":"9a2f2241-bb29-48cd-aa1e-f2cc9061ada3","year":2025},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:6f67cb829a10164b309891989f902339a1649f334c4e0b9c67520c7ef7510a42","observation_id":"bc53facb-12ba-4cc5-b937-1a138b4e53c6","resolution":{"observed_at":"2026-07-03T05:07:39.205983Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Journal of computational physics , volume=","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:631108be6be9aa70d27fde4f6b66012f60681d5bc17fc80e357b5e0b16c5b93a","observation_id":"c268502e-d416-4aa5-815a-1856e7e415ea","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Journal of computational physics , volume=","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:cd0cd085c9e6994ca830bedbf068f3d5860e25c3e48c26dfd12a3b48d3320f2b","observation_id":"84575d21-821a-4453-b5dc-69bf3b460113","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Journal of computational physics , volume=","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:9e5b1277ea35f6f8829eadbb5ed9760be9c4938b4a6dc53287e6f2280a71fd46","observation_id":"dfe68821-553e-4c72-b7c3-ca4017f1a0dc","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"The twelfth international conference on learning representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:c43ebea43a44ebee65ade42d65946247e9d7df59335a8481d7a60fcd90784752","observation_id":"2793bbde-00e1-4b5b-8548-97ce8eca9642","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:a0c89e62a08f7bfe2e6bda1b17d6d7aa629a539b0a146cc4f471787b7ed5a142","observation_id":"fef217be-c484-41ac-b92e-07c5db2f5732","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Journal of Computational physics , volume=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:864d89162cd3923c072c8439781f23cc6d6b1cb1c0714f263cab584b81e0c4d1","observation_id":"13a47de8-3a51-4ab6-b824-a30d2a50b055","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":"2010.08895","doi":"10.1016/0375-9601(81)90165-1","metadata_source":"pith","pith_arxiv_id":"2010.08895","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier Neural Operator for Parametric Partial Differential Equations","venue":"cs.LG","work_id":"cc647655-121e-4055-85f0-fad4530ea964","year":2020},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:938f7a9f11b288c2c45a1e202797548a841165892496fbfd9873a5cca3631b37","observation_id":"8de181de-00a9-4f5e-b539-2fc58804e3b2","resolution":{"observed_at":"2026-07-03T05:07:39.194980Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:00f0c0c2119a1078174d7ce733764d5c0d28347e9e7ada83f02c0bdd72aa4109","observation_id":"449eba77-a835-4412-8af5-75e041d30e64","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03542","last_updated":"2024-05-07T01:57:00Z","snapshot_observed_at":"2026-07-06T17:40:20.922598Z","submitted_at":"2024-03-06T08:38:34Z","title":"DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training","version":4},"cited_work":{"arxiv_id":"2403.03542","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.03542","snapshot_observed_at":"2026-07-03T08:17:46.072947Z","title":"DPOT: Auto-regressive denoising operator transformer for large-scale PDE pre-training","venue":null,"work_id":"2e6a91b8-2132-40da-ab16-bf80cdf87da3","year":2024},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2403.03542","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:e0542ccb29e8cf2fd19ce8659120ac757a045080cc26df4b0c8a81c6b321424c","observation_id":"9410f515-270d-4eee-8eff-64b48f5830b6","resolution":{"observed_at":"2026-07-03T05:07:39.213250Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.07187","last_updated":"2024-11-23T16:39:43Z","snapshot_observed_at":"2026-08-06T23:01:00.370154Z","submitted_at":"2024-03-11T22:00:39Z","title":"UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptation","version":4},"cited_work":{"arxiv_id":"2403.07187","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.07187","snapshot_observed_at":"2026-07-03T05:07:39.198938Z","title":"arXiv preprint arXiv:2403.07187 , year=","venue":null,"work_id":"a2bbab83-3549-4ec1-ba7a-933ef66de5c1","year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2403.07187","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:95a405c223074f39292ff414a5303ca5a4d7b2915cdc269e3e9ed91b0bff709e","observation_id":"97dc1244-ce04-4e54-ac4f-957b92c785cd","resolution":{"observed_at":"2026-07-03T05:07:39.200338Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:1480b0914f65d9c57ca7f15c1baa87654a1fecfeb54f4d6d889355d11bf7f23f","observation_id":"aa579dfb-9615-4b2e-93b9-f7f2e6729b3c","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"A posteriori error estimation in finite element analysis","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:ac0ea4882cefb11e39b8000ac1b152220badad1d598b090616fdf5440f1a6599","observation_id":"e138faba-91b4-46d4-9757-d320e147f120","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"The fenics project version 1.5","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:4eee685f6f62fa261e8edaa9e36b1f98449e8effd7fafe5306ceb5d17e94fa34","observation_id":"0ee8e037-6959-42bf-a879-37c636721d89","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"A stable finite element for the stokes equations","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:63f1a7d797c97f9c30427517b2451ba530a1f6a60de09c108a003521e4a735b4","observation_id":"8ae0b7f0-9ac1-4d59-b725-0bedc36d9524","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"The p and h-p versions of the finite element method, basic principles and properties","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:10e4bbdd1adce80b0c0dd790b145ff0554b8a9d7f428c7d1d3c0d0bc6371423f","observation_id":"3d0dd354-97c2-4c03-a02a-e7f65504d3fa","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:a590c540dad5a93f64be299768fde11a8be981fa4c0c4d3729ac05ea4debd975","observation_id":"fa8aa8ba-cbc4-4e7f-b119-9867ed5bfa8a","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Numerical solution of saddle point problems","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:b81f8457261097559cc824d924475710ad706bb759171e35d031062123967f00","observation_id":"b9d9c0ab-5cae-45a8-954b-c4cc6a19c519","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Streamline upwind/petrov-galerkin formulations for convection dominated flows with particular emphasis on the incompressible navier-stokes equations","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:c79d1fcb570aa3db10a8372905a276995e80e78289f4f55b684021cd964a5367","observation_id":"9333cc0f-bdd9-4fb7-b1b0-d2cee48d90ce","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05128","last_updated":"2023-10-05T09:12:07Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-04-11T10:43:43Z","title":"Teaching Large Language Models to Self-Debug","version":2},"cited_work":{"arxiv_id":"2304.05128","doi":"10.48550/arxiv.2304.05128","metadata_source":"pith","pith_arxiv_id":"2304.05128","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Teaching Large Language Models to Self-Debug","venue":"cs.CL","work_id":"cdfb2680-220c-44eb-9edd-867b75fb821d","year":2023},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2304.05128","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:987322cb08529030df4689bfa358eb8bbb86afa957a7cdb371e092bd13a7da73","observation_id":"5a9502b2-3b9a-459c-a61a-98a7e0fa633b","resolution":{"observed_at":"2026-07-03T05:07:39.208240Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.17607","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T07:57:45.417034Z","title":"AutoNumerics: An au- tonomous, PDE-agnostic multi-agent pipeline for scien- tific computing","venue":null,"work_id":"02f902f0-0ac1-42d9-9aff-800c1c06d3ee","year":2026},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:6698f2f5876cd5f98ee1a5f61eb07e41ac15d12bc494322e04073f0b714d61d9","observation_id":"6c169b0d-4bfd-4932-93ff-1f55f405c165","resolution":{"observed_at":"2026-07-03T05:07:39.210806Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:2f124b639004e23e7d3018a790b6b4b59b187f9526b12cbaa47fa9f13e8f428f","observation_id":"4db3b0d1-c31c-42f4-bd27-296163032dda","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":"2511.00183","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T05:07:39.208349Z","title":"Pde-sharp: Pde solver hybrids through analysis and refinement passes","venue":null,"work_id":"ecca9603-1c6e-41b5-b3ad-71389aa85b8c","year":2025},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:7e98dc2da94781b7c36c690195bf02b7c3054568b613b7ccdd9e97644534f721","observation_id":"c80a6598-1f37-47cb-a663-e0e1df8e54ef","resolution":{"observed_at":"2026-07-03T05:07:39.209771Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Metagpt: Meta programming for a multi-agent collaborative framework","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:7069deb6a3eba59351bfc400164b665d96534b164c50d0914d4a2b2a12d9ef90","observation_id":"0c22c972-77dc-4bf2-9474-afff8f664900","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"PDEAgent-Bench : A multi-metric benchmark for pde-to-solver code generation, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:e7c847f2de21d4e1ca04c25773fe37833e79339781a90cbdd6e91fb41623db97","observation_id":"822e5d8a-26fc-4522-8d2d-6141c8b9d6c4","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"A new finite element formulation for computational fluid dynamics: Viii","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:04af4deeaa4e8493a7f193e2a5b9d00964861ae27b688c0c00dd9fcf23c19619","observation_id":"1b0b15ae-c1b9-4059-b517-4aadb892fc67","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Efficient implementation of weighted eno schemes","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:48bcd750c0c279eec63136d8d83ceb74af6f3f5674d75cee35170b6494ddd0c8","observation_id":"4915e42e-f7da-4f81-a8c5-8b682eb307fa","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":"2505.08783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:26:20.320643Z","title":"arXiv preprint arXiv:2505.08783 , year=","venue":null,"work_id":"9a195423-d86c-4f67-9e60-6b0e86fc3eaa","year":2025},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:576bebe55192b7e88c650e29db54b26735dd6b1ccba882289325ef30a311de87","observation_id":"4ebf4382-76ce-4b28-8573-db2b582fe79c","resolution":{"observed_at":"2026-07-03T05:07:39.212274Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Weighted essentially non-oscillatory schemes","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:975795e17ed805e4748b93fcdeb73decf29becef19b3193d77b9791de73572ea","observation_id":"634983df-48fd-4471-b8e6-1200ef4d239f","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Automated solution of differential equations by the finite element method: The FEniCS book, volume 84","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:9cee41026b6c42b27c4a0e865d0636f4767b4f32346c492d20dbe34cdc6300ad","observation_id":"8b03b543-9b74-4e7b-9d6c-b5ea0875b9b6","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Self-refine: Iterative refinement with self-feedback","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:06fc2947619ec1b9fbdef3ae5409c6a04b719c12d77069339da76771913a0143","observation_id":"dc6fbe37-e83f-44c0-bcdf-8dd9d503cce3","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Firedrake: automating the finite element method by composing abstractions","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:6cb15f09291039675a7219fd377e61cf7a6a5885cf0a07f98489b06e0317bba0","observation_id":"2974f572-9937-46b2-b59f-365d5ae8f4e4","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"A mixed finite element method for 2-nd order elliptic problems","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:00bbe4b733022c125f6d9bcd4d5a6394a33fb3829f21c69c1fdff6ad8305f835","observation_id":"39d455d6-ed20-40dd-bb62-d4af337786b6","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Algebraic multigrid","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:af5d5de5ced12811303dc45839655914731885eb4d8f3ffa2245ee3983572b79","observation_id":"02e84f26-c070-4bc6-af4c-adc48f332190","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Gmres: A generalized minimal residual algorithm for solving nonsymmetric linear systems","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:14aef7aa15e83dd53784bda6e6b4ec634a7676b17241a754b2d5f948f4075750","observation_id":"6c3e4168-6e44-4d4e-bf16-1a7f00d9132a","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Iterative methods for sparse linear systems","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:2bd64dd1bee15a20de5bbad41c30c5339463f2bc36f05de1b373b56e379c9560","observation_id":"196f30ce-cabf-4261-b0b7-d687533d9099","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00963","last_updated":"2025-06-11T03:07:41Z","snapshot_observed_at":"2026-08-04T03:39:27.175171Z","submitted_at":"2025-02-03T00:03:41Z","title":"PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs","version":2},"cited_work":{"arxiv_id":"2502.00963","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.00963","snapshot_observed_at":"2026-07-03T05:07:39.213546Z","title":"Pde- controller: Llms for autoformalization and reasoning of pdes","venue":null,"work_id":"53d108db-0bb9-425c-a3d3-5eeac42c4c87","year":2025},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2502.00963","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:f779848eb0d58f64210dd2acc06edcff1ac323f4c5e99c1bf9d1225dd7874c11","observation_id":"7ff15111-7b64-477f-898d-0637de28acbc","resolution":{"observed_at":"2026-07-03T05:07:39.215097Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"A numerical solution of the navier-stokes equations using the finite element technique","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:6432324876f8a967b6711335928d630e5a2b51b550c799e7defbe071a07c8f73","observation_id":"6de529a5-997d-46f0-9d8b-9bd4095b0c08","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"u diger Verf \\","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:719946fdd51481279f3ee7c4caefb2e6aa963c1e6d5db5cf0211d66e86d8d4e6","observation_id":"3fefbcad-224e-4a49-96a9-d89065c36c4c","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16741","last_updated":"2025-04-18T18:14:31Z","snapshot_observed_at":"2026-08-02T14:58:44.167588Z","submitted_at":"2024-07-23T17:50:43Z","title":"OpenHands: An Open Platform for AI Software Developers as Generalist Agents","version":3},"cited_work":{"arxiv_id":"2407.16741","doi":"10.1145/3718958.3750537","metadata_source":"pith","pith_arxiv_id":"2407.16741","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"OpenHands: An Open Platform for AI Software Developers as Generalist Agents","venue":"cs.SE","work_id":"f1762ea0-e382-4f38-a28c-adc643789859","year":2024},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"cited_paper":"/paper/2407.16741","citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:b5f035d0fcb0b9366fe36410450cd1f657cbc505664c447141046206a310ac5f","observation_id":"9ed097e6-f69c-4f92-8098-c7224c03376f","resolution":{"observed_at":"2026-07-03T05:07:39.217750Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Swe-agent: Agent-computer interfaces enable automated software engineering","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:e16df09531b3a6bf3a231c696355ca08a850e14cc7d2ae7ea655f8cc45ac96dd","observation_id":"e1d417c0-d1d8-4962-9f08-49aa9aea7ee6","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T13:24:09.972206Z","title":"Fully multidimensional flux-corrected transport algorithms for fluids","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-06-27T13:24:09.972206Z"},"links":{"citing_paper":"/paper/2606.10752"},"observation_digest":"sha256:26f1e641edf29eb8087057ad71d89e1e36033c7ba0d2328d8ca37ebb058519c8","observation_id":"c5061440-5560-4e50-92c1-d77ec76f7b6c","resolution":{"observed_at":"2026-06-27T13:24:09.972206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.10752","last_updated":"2026-06-09T12:02:58Z","latest_version":1,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-05T13:59:41.098705Z","submitted_at":"2026-06-09T12:02:58Z","title":"AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies"},"reference_resolution":{"displayed":61,"state_counts":{"malformed_identifier":0,"metadata_mismatch":4,"parse_uncertain":0,"unresolved":50,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":61},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2606.10752."}