{"as_of":"2026-08-15T12:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f1eb77ca72865d54b3061927cc70472874d3417763fb3714593b1e49ea97cb69","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-10T13:31:14.182518Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2607.08025/citation-record","integrity":"/paper/2607.08025/integrity","json":"/paper/2607.08025/citation-record.json","paper":"/paper/2607.08025"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.276833Z","title":"International Conference on Machine Learning , pages=","venue":null,"work_id":"f59fd3e4-7acf-4d89-9047-d3f8c113b919","year":2023},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:f9bd17d2cf3659f4e6a3d5cfc736859baeedd14172dda17cdbc9960908d8b22d","observation_id":"012bb533-c34a-4353-ac40-0525660bf904","resolution":{"observed_at":"2026-07-10T13:37:07.278078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.245580Z","title":"Walailak Journal of Science and Technology (WJST) , volume=","venue":null,"work_id":"d19780f2-645c-43ce-986e-f85d0e104e20","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:51da12a0b6957783cb2ebfe8d46cd8f5120ba3603f9800c8d630b32af10f60d4","observation_id":"798bd286-0359-4bb8-b2d8-497544202bf8","resolution":{"observed_at":"2026-07-10T13:37:07.246736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.230462Z","title":"Sustainable Cities and Society , volume=","venue":null,"work_id":"dad4b761-e0c9-44c2-8fa9-34ced6976d02","year":2019},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:a20292c1788621cda15887fd4bb1b8318d5f9a4007739384251fc5abf5a34a5c","observation_id":"747aa501-7dda-42f7-aa95-608851d38d07","resolution":{"observed_at":"2026-07-10T13:37:07.231570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.255917Z","title":"Energies , volume=","venue":null,"work_id":"d16195b9-6d7a-4374-9a27-136407f6d4cc","year":2022},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b04861da2b3cd96d506fb4b13d80a9a4b05db1a64ba1a877272536a3b30660fc","observation_id":"798d6876-4948-497e-8340-584a5974c643","resolution":{"observed_at":"2026-07-10T13:37:07.257520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.201611Z","title":"ASME Open Journal of Engineering , volume=","venue":null,"work_id":"9a169b48-2345-4880-a269-87433b5a5f43","year":2022},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:afa01b2315be40989be411c68d330721aef5664b6d5e5f3282029291f94393cd","observation_id":"e19a6d8d-5606-4d75-b33b-15f1cd41766f","resolution":{"observed_at":"2026-07-10T13:37:07.202846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.211904Z","title":"Engineering Applications of Artificial Intelligence , volume=","venue":null,"work_id":"6edb30ba-d1b6-4782-9770-d3fda100d442","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b56832eb9e5048c1031113c0ab63909bad29040583457708d2b90c59a2a3ddac","observation_id":"b742be2c-f911-484a-ae46-00272a9ceea2","resolution":{"observed_at":"2026-07-10T13:37:07.213000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.206755Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"986851ea-15b7-45c7-9b26-aa5a115e1460","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:a6c2b1e346981a9839d82ee1a67e271b44379dbb30f368dfbacdddd249563a35","observation_id":"a839d54d-cdb3-4edc-884e-0bc0993963b2","resolution":{"observed_at":"2026-07-10T13:37:07.207962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.208454Z","title":"ICLR 2020 workshop on integration of deep neural models and differential equations , year=","venue":null,"work_id":"2851f11b-d14a-4009-8b33-dce13e20319b","year":2020},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:5f6df5194d59b2680609800d9171c5dee896f442886f4bf403f95cdbb9870ced","observation_id":"62de17a3-0597-4a7d-b4fe-43d2995bfaf5","resolution":{"observed_at":"2026-07-10T13:37:07.209582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.210136Z","title":"International Design Engineering Technical Conferences and Computers and Information in Engineering Conference , volume=","venue":null,"work_id":"52215532-2e74-4a25-bb94-71e313b31212","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:ef000b7b39404e9aa1652ef1c2036513953d5492cbb3f70d7cf0f91ac4216fec","observation_id":"19c09523-f9c5-4249-94df-caf5e319ae7a","resolution":{"observed_at":"2026-07-10T13:37:07.211333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.213522Z","title":"Proceedings of the 25th acm sigkdd international conference on knowledge discovery & data mining , pages=","venue":null,"work_id":"a1b84621-71aa-4eba-82c8-3f986f53158c","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:bd3723dfacc2fab84703d6e40b7768979d47e2ff92919e0e7aced88400aa937b","observation_id":"f6958e5c-ca99-4cb4-8fe6-3f37a6c590f5","resolution":{"observed_at":"2026-07-10T13:37:07.214678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.215184Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"764b4204-ca86-4bfd-a6ee-f07a611727e9","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:05deb4e717865fcd50baf77bb00d383a42a6bc7cfaaa8eac3757b02de2ae4cbf","observation_id":"30fdbe0b-b8b3-4138-9bc6-d1c8fb8ed5b3","resolution":{"observed_at":"2026-07-10T13:37:07.216323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.223532Z","title":"Journal of Mechanical Design , volume=","venue":null,"work_id":"92b29877-e302-42b3-b8ee-56e4e51da6dc","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:cf199b804ea255747c74cecb1324dae72bbd393ae51d07796935210157e5cd93","observation_id":"eb64736e-e785-4a74-b437-5b2165c34225","resolution":{"observed_at":"2026-07-10T13:37:07.224711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.228778Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":"15849c74-cbdd-4b7a-b9f5-395e351c0b2e","year":2022},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:3f476f24a3a47eb77f00c84d8c8be82e5961a557af2407c6651fc4e697d97a22","observation_id":"3be198cf-a250-44ab-886d-1edb2260f7a2","resolution":{"observed_at":"2026-07-10T13:37:07.229896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.234040Z","title":"Scientific reports , volume=","venue":null,"work_id":"210c9b79-c803-4104-be48-56065166d470","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:79f40412a4cf0bc569a04fe3e9f4078adb43673f0ab5fceeebc9918140194b14","observation_id":"94aae7ce-6ee1-40f2-8932-5cd61ed9533e","resolution":{"observed_at":"2026-07-10T13:37:07.235077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.191112Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"260e069e-8745-46b7-9176-c4c729a23b6b","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:1bfb14de579a5b326a668a1b1544ba73f305b9edf2f1866346f850301119bcf5","observation_id":"06d922c6-b883-40fa-ae85-0ba6e853ec85","resolution":{"observed_at":"2026-07-10T13:37:07.192264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.192833Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"9287b676-a32d-4059-97aa-d644de146b92","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:721fc4fc752aa1141cb83bd8703f35e70f95c821f73186fa323aaa1668ef3539","observation_id":"82d64329-4b20-49fb-9cdb-fd98eb4f8e95","resolution":{"observed_at":"2026-07-10T13:37:07.194006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.196255Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"bd30358f-9fb9-46d2-850e-8d9864d46c4b","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:ae0b14dc97a0577827f7eefcc28ffa4961fe370d2515feaa8604d7259d77f3ab","observation_id":"09d17571-71d9-4e41-9ead-b5f4dd040d05","resolution":{"observed_at":"2026-07-10T13:37:07.197597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.205084Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"7570fe60-7820-4888-9e1e-e35362897160","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:4fa5ac0ee4c2123340810a1b8ade465a71cf205b72129de47e9bdecc609d0f2f","observation_id":"11067ea4-c8b0-4dfc-890d-79328efddd26","resolution":{"observed_at":"2026-07-10T13:37:07.206204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.263097Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"dfc2a7bf-f5ea-458f-87de-c77a31b23b06","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:88ef701d558d8c0928c48c690cf3c6c84e1aa29f33bce376aee7c0a297ffbe92","observation_id":"c96ae361-ee1c-49f7-bfe8-c9facc1d3d79","resolution":{"observed_at":"2026-07-10T13:37:07.265582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.295792Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"4d5e0ab8-8c5d-495a-a3ea-4e9054971c3e","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:ca4f4c379391746d474c8bc9df306be214a9dd1c3781267bad0cc548b9317006","observation_id":"e2a37adb-9685-420f-80f5-b94636d66328","resolution":{"observed_at":"2026-07-10T13:37:07.297913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.273956Z","title":"Nature Reviews Physics , volume=","venue":null,"work_id":"6a34a150-d4a1-4833-9a1b-e01555921998","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:da38226b7beb2311f649671d6773c555d527e6272e2d5c91b1715422356f3eab","observation_id":"9204f343-61f4-4496-b5c3-71a0d199333f","resolution":{"observed_at":"2026-07-10T13:37:07.275817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.182114Z","title":"The finite volume method in computational fluid dynamics: An advanced introduction with OpenFOAM","venue":null,"work_id":"9aee114b-8a0c-491f-a492-49daa3146094","year":2015},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:3b894e33a4852317232179722ff3bb707b0d2cb428be6998be3d0e4a862f040c","observation_id":"d01fdd3c-bf23-47da-b0be-5a3712ae95ee","resolution":{"observed_at":"2026-07-10T13:37:07.183325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.183988Z","title":"2023 IEEE International Solid-State Circuits Conference (ISSCC) , pages=","venue":null,"work_id":"d40d7f22-8f27-47ba-8ad1-3c7028cbb0a3","year":2023},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:d93392abbf967cb3a2b1726487e53e164a4de0f20409226be0d72847363f1ab8","observation_id":"65748226-ba73-4dd1-91a1-4e71afe26caa","resolution":{"observed_at":"2026-07-10T13:37:07.185253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.187643Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"cad1f597-ce26-46c7-be35-9ac9cef58f8c","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:3257cfa2bbfdc690d4bc7fd73d4fe4363b02c4243e16509c24b8c522ee6fe6c1","observation_id":"00010be8-8095-4708-bb91-573bd3c006fa","resolution":{"observed_at":"2026-07-10T13:37:07.188819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.199893Z","title":"Nature machine intelligence , volume=","venue":null,"work_id":"9d6a9c63-c6b9-42e0-a554-ff988acc9fd2","year":2021},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:1d6c7817e9aeefd9d55ad7ea4010ba01081ab7ec58c9da861402090ea0f8439f","observation_id":"8243fec4-c03f-4823-90c6-25e13f73d8cc","resolution":{"observed_at":"2026-07-10T13:37:07.201034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.180375Z","title":"Fourier neural operator for parametric partial differential equations , author=","venue":null,"work_id":"e42b247a-a0fd-4ff8-abf7-ec4b4135b21f","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:5471389f15ad5178bb105e3d019b6397fe5a6e7054c49c50cfd783807b879e97","observation_id":"6a99f73d-d263-467a-b83d-e5b542a820d8","resolution":{"observed_at":"2026-07-10T13:37:07.181546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.178635Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"7058e7ce-42bc-40f2-88fe-4ebc3e7f2628","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:9fbeed396e25450b9a980c0b07adfeaed1dfcc2f7766335684cdfde3053c0d30","observation_id":"b6e375aa-9122-4f42-8562-f7ce9c0399ad","resolution":{"observed_at":"2026-07-10T13:37:07.179807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.189413Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"1186c393-7429-487a-9b68-4c3cbfe48fd1","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:bd94898030820bd152d9cde0ecaba8e304d2530496b6cd4b623223eb17b0bace","observation_id":"f876fd99-e37d-46aa-bfb8-ef7bc78610eb","resolution":{"observed_at":"2026-07-10T13:37:07.190589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.194572Z","title":"2019 , publisher=","venue":null,"work_id":"7a0311ea-ecd0-4dd4-a88b-630f8ea278c4","year":2019},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:95b11a6e65c0ba6c66bcaeaf3d4bb7d8bb424708bddc31ea6ead5263a3c6c011","observation_id":"6e6a851f-ba87-4c17-a672-de37db0e3b42","resolution":{"observed_at":"2026-07-10T13:37:07.195690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.173282Z","title":"Journal of Computational physics , volume=","venue":null,"work_id":"c95044e4-3d65-4624-bbf8-c60d53e6a22f","year":2001},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:3a08beaa81bf6022b4318ad99bfe89aa83ecceb15dbaa38345cb04fff018defb","observation_id":"4f825962-4e54-4924-8a14-588dcf73a224","resolution":{"observed_at":"2026-07-10T13:37:07.174390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.176760Z","title":"Engineering Applications of Artificial Intelligence , volume=","venue":null,"work_id":"85b21679-746c-4ad4-9b58-42ece1e1a53b","year":2026},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:c9a4c2db25f1e45d58581dab22a63c6bb45565b999ac686c73a9a7d6856b0e50","observation_id":"2d8507cb-4ca0-421a-a667-a50f5efd42f4","resolution":{"observed_at":"2026-07-10T13:37:07.177909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.174949Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"30feca6e-76c8-4a21-be81-b92ea33ef213","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:5f5ad7ea6350f311905477d1b6ac293fb411cf8324c9eb04e64f7d7159101e20","observation_id":"006cc15c-e084-43b9-b6cf-e20c2b9a1b95","resolution":{"observed_at":"2026-07-10T13:37:07.176162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.203405Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"7a76e76c-f2e1-4b1d-ad38-4a99eea426dc","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b3a696f34c66d4b8fc7471b54248f640d364e51f1511ff005e24ce0e7c868fae","observation_id":"a0fd886e-7678-41b1-910d-c359c090d630","resolution":{"observed_at":"2026-07-10T13:37:07.204528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.220403Z","title":"2025 , url=","venue":null,"work_id":"cb9ac1a2-a9b9-4071-8a84-c53faf63537b","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:5d135c41afab13c0b83ff4e34234612ae6b9b6a7b3b580b29299de86ae316156","observation_id":"1d017fcd-8e24-48ed-b534-b7237839f249","resolution":{"observed_at":"2026-07-10T13:37:07.221463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.279874Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"6bbfd7b7-217a-4715-a7c3-46c418a762b9","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:0aab8403d52e98889d8e3e68bcbdd7c657a078a0632fe1d84dcebf81b4c3a2ac","observation_id":"6a4654c6-d8cf-4644-b2ab-94e60af9a161","resolution":{"observed_at":"2026-07-10T13:37:07.281369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.235565Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"e01cb141-fca6-435b-82dd-86d98fc0134f","year":2023},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:296ebf7b478573b27c34156b567150b5f91b2f315789e1e4a2772e34981080ed","observation_id":"61d5c859-884b-46f9-a38b-ed257c17eab2","resolution":{"observed_at":"2026-07-10T13:37:07.236628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.237136Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"ccfc40a7-b7f0-48cf-b9f2-e6ad2274e24d","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:712316e5d45fef99c5be24e37c14cacbca9c9cdb1b99162c63aed776d3517aca","observation_id":"faf61d0b-ce38-491b-84b8-02833f0a23c1","resolution":{"observed_at":"2026-07-10T13:37:07.238361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.243868Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"b24bc1a4-9bed-42e9-82eb-b9eba9efefe9","year":2026},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:8332317614b682263fe39aa02aaaeb941846755336fc8be73a7b799759d72d5d","observation_id":"6d422d89-67dc-4f3c-95af-fb028f4e24c5","resolution":{"observed_at":"2026-07-10T13:37:07.245007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.258191Z","title":"Journal of Computational Physics , pages=","venue":null,"work_id":"8e63fa78-9ee5-47fb-95cd-6ad384dc5878","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:97be97204320dcf8968d51315091610808ce759fcd428b73d45f7f1df05cd1f6","observation_id":"39f4a25a-e2b3-40b6-965c-f8ac3fcdcb04","resolution":{"observed_at":"2026-07-10T13:37:07.259586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.232273Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"a90391ff-23ce-4ad9-90f9-007cb9fd571d","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:827f8663f3d1a414823d7d7b000ad358cb6ef927fb5a72b12f3ba220ab15a78d","observation_id":"5ea3ab38-960e-4402-bfe6-15db3985d305","resolution":{"observed_at":"2026-07-10T13:37:07.233454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.249055Z","title":"Neural Networks , pages=","venue":null,"work_id":"d63cae71-8799-425e-af70-fd0ff8607d4c","year":2026},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:80fb47cdb7003e0d513546a9777ba9749ec6ea7e8a5448d3ecd8137a7cc9d9d2","observation_id":"342743ab-989e-4c40-9b07-4d94abeaf8d5","resolution":{"observed_at":"2026-07-10T13:37:07.250129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.290608Z","title":"Scientific Reports , volume=","venue":null,"work_id":"a6d7283c-6c77-45c6-b082-656ce6eb95b9","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:63d01f5f0707a1fe90ff67e97f29145e002262ef7fe9aac6712bf010a13645a9","observation_id":"d586d829-db3f-4391-a709-be33eb290318","resolution":{"observed_at":"2026-07-10T13:37:07.291792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.217058Z","title":"2019 international joint conference on neural networks (IJCNN) , pages=","venue":null,"work_id":"c0577e0b-bf10-42de-a790-1bea70975d81","year":2019},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:75762a3658220cf509251734c8f21fa932724cf620118217c877ec6baf3bb5bb","observation_id":"4a4db04b-7791-42ef-891e-ccd5388c4594","resolution":{"observed_at":"2026-07-10T13:37:07.218207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.218767Z","title":"Future Generation Computer Systems , volume=","venue":null,"work_id":"9e95222c-8dc6-4284-bc11-bfa444203091","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:07ac2e29b8e86f42809b48919fa24e278252cde1e95a6aa67ac09af9e10827a3","observation_id":"0150ce7c-7920-4ae7-a8a0-3208789093b6","resolution":{"observed_at":"2026-07-10T13:37:07.219850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.270570Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"62110f44-a561-4092-b08c-083313e3aabc","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:8395af81709cf2d44f4606e0c75e4877acf1afa18e6e5d2930bd7892490a92f4","observation_id":"b6fa475b-852f-4c94-b115-968263ab8ea0","resolution":{"observed_at":"2026-07-10T13:37:07.272268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.267169Z","title":"Computers & Fluids , volume=","venue":null,"work_id":"debe5803-00a7-4afa-8ff0-8431be01a8bd","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:f53b396ecfac1509a33349037d62a376095b626d92d3ecd67ee925a5a37fd51b","observation_id":"ccd29e13-3333-4cb2-a7c0-9d9ef64d357c","resolution":{"observed_at":"2026-07-10T13:37:07.269380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.288638Z","title":"Advances in Water Resources , volume=","venue":null,"work_id":"04047e8f-919f-47ac-9611-0659d0958018","year":2022},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:c010c8e119b6db1e20dbb29f20bd6693a6e0aa51cec93fd90dff97969208e051","observation_id":"bb13cf2d-7ccf-4b01-bfb6-f9f5cf2637e0","resolution":{"observed_at":"2026-07-10T13:37:07.289942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.292902Z","title":"ACM/JMS Journal of Data Science , volume=","venue":null,"work_id":"5d8e1aa6-ee62-4f28-b7a1-20d6d974da3e","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:e4a706368fae79470c6d4434121e5b726ccf0e5425605d589976d2cc1d0da6a3","observation_id":"ff97ae0b-3455-462e-b354-58e3d5d0833a","resolution":{"observed_at":"2026-07-10T13:37:07.295099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.250687Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"7b1c13a8-7a61-4424-8fee-943cc52cc436","year":2022},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b43501e08e3f2ed5534340af14b34c157b227492c2a017d649c5f436ecf83191","observation_id":"ed9daf0f-2c58-4f9b-a4fd-712c89cfdf31","resolution":{"observed_at":"2026-07-10T13:37:07.251949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.286140Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"d96ed19b-8c97-42e1-bbec-33fda2c8174b","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:3968b3802945bf92d3961fb19420571bf5c010abe3704f337c2415cfe3aa3cfd","observation_id":"317f9446-3a37-4d6c-b16e-062356a82b41","resolution":{"observed_at":"2026-07-10T13:37:07.287877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.227048Z","title":"Transolver: A Fast Transformer Solver for","venue":null,"work_id":"814d43f1-c8c3-4c40-8b2b-17304785ca9b","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:c05049c9b1fb94d88fb3fbdd9add831ed7a6d60d088e731f502225179cdfb416","observation_id":"af46fe04-0224-419f-8673-2563400969da","resolution":{"observed_at":"2026-07-10T13:37:07.228216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.221974Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"47a08ae4-0134-4c51-8c21-5306e02ec4ea","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:d91a5c72af510f9077adcd428ee90ae9b3dba5b2413087c6a6a04a969e6477e3","observation_id":"e61b12f8-df2a-4fc6-be9c-a30ff4d88577","resolution":{"observed_at":"2026-07-10T13:37:07.223032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.225273Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":"6eba5358-7f06-42db-b9c8-5982a58ab01a","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:e68330b0a76a87c8d51e5dcbaa00028cf6192e3fdf7264be9b5ed5f2d6f62389","observation_id":"2388f67c-726d-4cab-bab7-ba315eefdedf","resolution":{"observed_at":"2026-07-10T13:37:07.226509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.252505Z","title":"Computer Methods in Applied Mechanics and Engineering , volume=","venue":null,"work_id":"988ef834-caef-4a5f-ad25-1d0be4aeff3c","year":2024},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:c95d5571a275e2449320155f93fd088b94488f4f873e23dee73942b4656e87de","observation_id":"5e439cea-586f-4d2f-807b-f797800156a7","resolution":{"observed_at":"2026-07-10T13:37:07.253648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.254208Z","title":"Proceedings of the AAAI Conference on Artificial Intelligence , volume=","venue":null,"work_id":"269f4c2b-1ed8-4d7a-89dc-ee6823fb929b","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:76eb8ebe1ed53d503b46a055acd5446b99372e1b33407f86d7f408d207c35354","observation_id":"2e5b0f7f-8c47-4b92-b11e-6cc61addc8df","resolution":{"observed_at":"2026-07-10T13:37:07.255372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7910/dvn/ozqmd4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2025 , version =","venue":"Harvard Dataverse","work_id":"8dace30d-5e9b-46e3-b438-7481ee3ca2f1","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b8c86c06c19c3cdfc3e7350c4bb85125025d1140334de58a83a493442228822f","observation_id":"8c6cc4a1-63e5-49e7-9f04-c5bd4499c008","resolution":{"observed_at":"2026-07-10T13:37:06.454768Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.242286Z","title":"JSME international journal","venue":null,"work_id":"92cbd7ed-dd4b-44a8-a281-478078d66d40","year":1995},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:bdc3ff7bcf671e0ca6415cb6d8c014aad3769f5d4034b76469f72196663cae93","observation_id":"4bc89ef2-2f89-4e6f-a828-8eaceccfdf8b","resolution":{"observed_at":"2026-07-10T13:37:07.243281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.238865Z","title":"Transolver++: An Accurate Neural Solver for","venue":null,"work_id":"e8fcec48-994a-4785-b9dc-b5f35fda331c","year":2025},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:731c0721f3f5f1d855864da98edaa76a2ff68bd7fda29c8e638ae73f465d496b","observation_id":"6b22b297-28ca-4808-88f6-02962f0f8e90","resolution":{"observed_at":"2026-07-10T13:37:07.239994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.240581Z","title":"International Journal of Computational Geometry & Applications , volume=","venue":null,"work_id":"a263c7a4-dff1-4456-94c9-f0908033bddc","year":2006},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:efe398688d87545633769808dfd1967b20741acf0669cdb14aee2fc2b1c45ecf","observation_id":"3fc63573-62fe-4fb8-b1d0-22bf3a102273","resolution":{"observed_at":"2026-07-10T13:37:07.241759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.260815Z","title":"2009 16th IEEE international conference on image processing (ICIP) , pages=","venue":null,"work_id":"fd8a2aa3-899c-4677-8d16-51ad3220d3bd","year":2009},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:f95b248de547f86e8f8d36eab7db5609321f400aad6c79e6b9f521ddd7e9ed01","observation_id":"3780f4e9-b1e6-4e73-a817-bed58ff219a0","resolution":{"observed_at":"2026-07-10T13:37:07.262380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.247305Z","title":"understands","venue":null,"work_id":"587fd07d-e540-4c7f-9145-19496d35a8f0","year":2006},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:061f53c84ee0b6ca13dbf8cae8cc1d3b75725eee140835e2f24d21b9fbb36d0a","observation_id":"cc5ce181-6623-4b42-b60d-b253c371f3e5","resolution":{"observed_at":"2026-07-10T13:37:07.248389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.283033Z","title":"Computer Aided Geometric Design , volume=","venue":null,"work_id":"0b3862e9-c475-4e99-b8a7-e90232f6f541","year":2008},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:b0112dae874486eba904b0436f476360e6d8da7493820bd8f16bb090fdcac66d","observation_id":"2cf212cc-a8a8-4027-991c-a55395c71938","resolution":{"observed_at":"2026-07-10T13:37:07.285298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.185839Z","title":"Chaos, Solitons & Fractals , volume=","venue":null,"work_id":"b5b750df-4e74-4242-8ced-6bdc6a38f943","year":2026},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:6b80805e8021899d47c7486fd0a459d9bebe93fb86815af7d6002190b4213344","observation_id":"c0549a67-2add-4afb-8d28-c65b1155ac8a","resolution":{"observed_at":"2026-07-10T13:37:07.187068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T13:37:07.198159Z","title":"International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":"59c9254b-f686-4ade-a4c0-20a8dc24fce5","year":null},"citing_paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-07-10T13:31:14.182518Z"},"links":{"citing_paper":"/paper/2607.08025"},"observation_digest":"sha256:4b22ed7582821bc6bd34f166980d8a05168040618f9e564832e5e2a5190a0b48","observation_id":"7cb9d331-ec32-4662-9f5a-47c4482296a3","resolution":{"observed_at":"2026-07-10T13:37:07.199325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08025","last_updated":"2026-07-09T01:03:26Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-15T08:59:24.440400Z","submitted_at":"2026-07-09T01:03:26Z","title":"PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":63},"total_outbound_references":64},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2607.08025."}