{"as_of":"2026-08-19T23:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:da68c394a3002d4d841fa90193e1094903b96c3789098ed5e3065702b4c4926d","coverage":[{"denominator":73,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":73,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:49:43.729136Z","state":"measured"},{"denominator":74,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":74,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T10:40:25.814028Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T08:57:47.596765Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"cited_work":{"arxiv_id":"2505.09063","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.09063","snapshot_observed_at":"2026-07-03T08:57:47.596765Z","title":"Rafiq, W","venue":null,"work_id":"c8505007-6a9b-4314-b02f-aa14e4a4de2b","year":2025},"citing_paper":{"arxiv_id":"2606.11691","last_updated":"2026-06-10T06:09:51Z","snapshot_observed_at":"2026-08-12T12:50:57.001864Z","submitted_at":"2026-06-10T06:09:51Z","title":"Spectrally Regularized Latent Flow Matching for Turbulence Generation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-27T10:40:25.814028Z"},"links":{"cited_paper":"/paper/2505.09063","citing_paper":"/paper/2606.11691"},"observation_digest":"sha256:9f4083b3aa1d38b061317fd404679c95572f58708ec90167ddf8302fc501948f","observation_id":"4f49c46a-aa0c-4ba3-8c68-34afc003c2ea","resolution":{"observed_at":"2026-07-03T08:57:47.598257Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.09063/citation-record","integrity":"/paper/2505.09063/integrity","json":"/paper/2505.09063/citation-record.json","paper":"/paper/2505.09063"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.635217Z","title":"Aamari, J","venue":null,"work_id":"8d444906-c641-4fc9-bd00-5d252b74e213","year":2019},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:42.931132Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:1c46b033548b8b8f7944f987189bd1552cc4b3dae1afd3c17dad510d06c92c6d","observation_id":"cb6acdfb-0542-465b-b1a6-c97995b3369f","resolution":{"observed_at":"2026-08-15T21:49:44.639592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.624621Z","title":"Akhtar, A","venue":null,"work_id":"e85d0fc7-0a58-4f07-a4e5-86248c8420ff","year":2009},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:42.980457Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:894b5ed8a747c8d42ff366d68ef7bd8ff135d6173e30544a316eebbec8f38f51","observation_id":"760bcea0-e4c6-4831-af74-0d6d781e8e75","resolution":{"observed_at":"2026-08-15T21:49:44.628276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.613243Z","title":"Bengio, A","venue":null,"work_id":"c09baf59-3b58-4784-aa79-c0f0e1bbf2c9","year":2013},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.096486Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:e54c5044e33ef9037315e93b15a5b2bde20f6dd4e971150678432be2b750eef5","observation_id":"710ad3c5-47a0-499f-9e2a-fc6f6843ea95","resolution":{"observed_at":"2026-08-15T21:49:44.617499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1207.4404","last_updated":"2012-07-18T16:07:36Z","snapshot_observed_at":"2026-08-15T00:52:50.517936Z","submitted_at":"2012-07-18T16:07:36Z","title":"Better Mixing via Deep Representations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.4404","snapshot_observed_at":"2026-08-15T21:49:43.104903Z","title":"Bengio, G","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.104903Z"},"links":{"cited_paper":"/paper/1207.4404","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ac1fd1a179169d682bc4c1648ab3ffa48a2f1dfe0ea0cfa17b92d0435f286beb","observation_id":"3cce35ba-21eb-4b9d-b978-ec691ff44388","resolution":{"observed_at":"2026-08-15T21:49:43.104903Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.601588Z","title":null,"venue":null,"work_id":"c2bba9d5-040f-436d-a3b1-87177beba184","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.116647Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ef98b983af691ba85bc7c5bb9799e7e353ea518bc21353e63dc0a467bd1e6c61","observation_id":"d34eeebf-5b71-4fb0-9816-8cda2973c346","resolution":{"observed_at":"2026-08-15T21:49:44.605872Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.591468Z","title":"Campadelli, E","venue":null,"work_id":"e628289e-d965-4b75-9529-1905a4bd49f4","year":2015},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.121423Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:a438e04b4d55f0f5bf1d3cb7e75ab3eed09b3a47154c7b9a87a1c30d5411e98e","observation_id":"63cd76b4-b5de-44b3-877c-1100afd4d644","resolution":{"observed_at":"2026-08-15T21:49:44.594925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.581964Z","title":"Chatterjee","venue":null,"work_id":"076db46a-fd1a-4c3d-9f8c-a234a53238bb","year":2000},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.126074Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:9700bb36c09fc51f14d698d8d1e0bb07e9dcd4e286a1af5185fab5da132e5b32","observation_id":"abead391-28c1-4c7d-abb3-c7be9f77b8d4","resolution":{"observed_at":"2026-08-15T21:49:44.584983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.573175Z","title":null,"venue":null,"work_id":"7b99713c-2dc3-4101-b56f-99c521586b3f","year":2019},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.130424Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:b85c65040414d1a5b5d7fd6582280abdbabf1574c1d7d0ea3ddfa25201466dc4","observation_id":"a539bc1b-8fa6-4b13-b4b1-f5df1eb6c581","resolution":{"observed_at":"2026-08-15T21:49:44.575938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.563296Z","title":null,"venue":null,"work_id":"e6eb7235-c40d-49f3-904c-c4d8989e6644","year":2022},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.135714Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ed18418a0dbeb26b47b551654667b44225fbfab40a15e20b33a2ba6b57f81803","observation_id":"34184b3e-6ffd-4b59-9f65-f204e4c06178","resolution":{"observed_at":"2026-08-15T21:49:44.567151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.552566Z","title":"Chung, K","venue":null,"work_id":"76f6d270-66fe-4f8d-a7c6-c3a27c71ce70","year":2015},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.139208Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:3edb0c94b051ce807ea39a185c90b97118c5c9f825b31da6130d9277df5a3525","observation_id":"53c9d0c5-a666-4186-b274-b553aef73259","resolution":{"observed_at":"2026-08-15T21:49:44.556579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.541530Z","title":"Cohen and R","venue":null,"work_id":"9d9465fa-5de0-4922-ae7b-c52e77be11bb","year":2015},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.142821Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:070877edbd879af396c066a1f2854ebe8e1763fa5ae2f73ddbc03a1d3494ab94","observation_id":"58b4c5bf-a206-423e-b7d4-a7d8bc8dad06","resolution":{"observed_at":"2026-08-15T21:49:44.545109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.531113Z","title":"Conway and N","venue":null,"work_id":"177bc3dc-2126-4d60-b940-2441af9250e5","year":2013},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.146727Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:cd12b864b8c6162276debef400f743623417421968cdd6fc75a8123ff0aba1fa","observation_id":"dde6a16c-e2cc-4330-ab04-8449f983fd9c","resolution":{"observed_at":"2026-08-15T21:49:44.534690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.518969Z","title":"Del Moral","venue":null,"work_id":"aff4836d-8682-454a-952f-28efae95a92a","year":1997},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.151332Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:7d0a2a9433546324b7a5474f0cf31359ad8a2b151c3f69d639affe33668cb02a","observation_id":"c356ff21-79a7-46e2-bc6d-72f4208b12c3","resolution":{"observed_at":"2026-08-15T21:49:44.523617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.10968","last_updated":"2021-03-24T16:42:13Z","snapshot_observed_at":"2026-08-16T18:57:11.125659Z","submitted_at":"2020-12-20T16:33:00Z","title":"Auto-Encoded Reservoir Computing for Turbulence Learning","version":2},"cited_work":{"arxiv_id":"2012.10968","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.10968","snapshot_observed_at":"2026-08-15T21:49:43.975626Z","title":"Auto-Encoded Reservoir Computing for Turbulence Learning","venue":"physics.flu-dyn","work_id":"d23b3b2f-a46d-4109-b126-64e9bf29bc8c","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.154868Z"},"links":{"cited_paper":"/paper/2012.10968","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:d0ff48ed775dbc33c4c031e99a96b4f97ca52adf531172b8ce4a486067aec2d5","observation_id":"c4773038-c684-4b90-b23a-229b48e15308","resolution":{"observed_at":"2026-08-15T21:49:43.979957Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.508091Z","title":"Eivazi, H","venue":null,"work_id":"518d15cb-a96b-4440-a1b9-1649e80f87cb","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.158459Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:5b2297e3a2fc27772401dec5b82dd14a4e898c0d438b15bc1566f497c803d8eb","observation_id":"3b9b4507-de14-43e1-a5f2-546e89bf4e14","resolution":{"observed_at":"2026-08-15T21:49:44.511923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.496778Z","title":null,"venue":null,"work_id":"bb508fef-0756-41ac-9802-7839de5d85a8","year":1959},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.161961Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:fbd0ebd7089e4ce3ef879db825e16eaf874d161c9b5a7f83be88896aaea7c7b7","observation_id":"b18c3053-1d28-49d4-9bfa-c70ef382b2fb","resolution":{"observed_at":"2026-08-15T21:49:44.500880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.484217Z","title":"Fotiadis, M","venue":null,"work_id":"1ea2a5f3-5a68-45ea-b3ec-986c16d21dea","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.166032Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ce8f2e992cf4380c6641ba1199ef0b3cb29198a5173f25d18f2555d2290f9f79","observation_id":"c4374270-008d-4f85-bb48-bde7b43c4d8c","resolution":{"observed_at":"2026-08-15T21:49:44.488726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.473442Z","title":"Fraccaro, S","venue":null,"work_id":"b18e9278-9590-47f7-b3f9-dfafc098935f","year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.169670Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:4ad86394ff594258fea28729eb2c95b59e9379f9a81291f9efbd87e32015ecb1","observation_id":"633c01a5-b99b-4dca-92d6-6472282e9677","resolution":{"observed_at":"2026-08-15T21:49:44.477134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.461469Z","title":"Fresca, L","venue":null,"work_id":"a0f15d1b-01bb-4d23-b707-40289988cf7f","year":2021},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.173300Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:8396a25e67e41101187904d87e673309c4337184c6d6349133d76919e5c67412","observation_id":"29feadca-7d68-4c84-bc95-cee61886d433","resolution":{"observed_at":"2026-08-15T21:49:44.464932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.07688","last_updated":"2021-07-22T22:00:53Z","snapshot_observed_at":"2026-08-16T18:17:13.249186Z","submitted_at":"2021-06-14T18:12:10Z","title":"Next Generation Reservoir Computing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.07688","snapshot_observed_at":"2026-08-15T21:49:43.177257Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.177257Z"},"links":{"cited_paper":"/paper/2106.07688","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:6e41f947c7cd35cb1542a3b3bdb5790fdbcba5c995ad9a927321226af1bfbf38","observation_id":"49f8a49a-f6ec-4a54-8856-f54299d312dd","resolution":{"observed_at":"2026-08-15T21:49:43.177257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.451454Z","title":"Glyn-Davies, C","venue":null,"work_id":"176804ed-5b1a-4b73-a522-62ea5f4f21be","year":2024},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.205294Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:6c57c81ca977dc55ed8208ffa8a3c7b16cbcb525f6689cd5971cdd7d97290542","observation_id":"2eec0c74-adb9-4568-ae0f-e963fd716ee0","resolution":{"observed_at":"2026-08-15T21:49:44.454882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.439951Z","title":null,"venue":null,"work_id":"65e1767b-8dc9-4749-8524-422bf6f50e04","year":2019},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.272512Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:554baf237a1b6197819ba7d3c819339de7e2adecf1a0ce1c3000e2de8ac62932","observation_id":"42faf701-3821-4a1e-85f7-6dd190ab2955","resolution":{"observed_at":"2026-08-15T21:49:44.443622Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.427054Z","title":"Higgins, L","venue":null,"work_id":"a3281259-5871-4b30-b3cf-71e938e68865","year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.317162Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:3639821448be1871b7a0ddeb37abbe6e535da5971947c41c4e5a704ce63eff48","observation_id":"6b2189f0-de90-4b9a-a4eb-9f2d093e1931","resolution":{"observed_at":"2026-08-15T21:49:44.431604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.414656Z","title":null,"venue":null,"work_id":"70584274-2331-4c02-9aa9-969db3f23694","year":2006},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.347039Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:e6af044cda8c72e346b2c1d7ddcf648fa431dc61d9ea7d7ac45505c64247edf8","observation_id":"6a545b2d-007d-48d1-a626-09cf614532c9","resolution":{"observed_at":"2026-08-15T21:49:44.419586Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.403872Z","title":"Hochreiter and J","venue":null,"work_id":"24d2142f-d78f-419a-b95c-7deb22f7c888","year":1997},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.418243Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:b212215f02722a25ff117ac765fb4fc78e87da1a7b7087963f227fe249068545","observation_id":"a0dcd33f-2b06-42ab-966a-8df42f1b9fee","resolution":{"observed_at":"2026-08-15T21:49:44.407546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.392161Z","title":"Holmes, J","venue":null,"work_id":"2b49036a-479c-456c-bbec-6d230a93a427","year":2012},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.497252Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:5e3b3c07bb5bf4a4921438cf9d89e99a23d4c964a11b0ca20d3f43f7f0c657b7","observation_id":"5df6d4ca-7018-4ed9-95a5-c74cbce8acc1","resolution":{"observed_at":"2026-08-15T21:49:44.396017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.546385Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.546385Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:b9f8fdb2b2d6e3575821d32f764d4a457833b554ad8148f735f0d16bb66ad073","observation_id":"19e23e91-e59f-4920-81eb-dc5dc80d5c6f","resolution":{"observed_at":"2026-08-15T21:49:43.546385Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.373234Z","title":null,"venue":null,"work_id":"88ce49df-faeb-4882-88fc-ff20a030885e","year":2025},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.550307Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:59ddc4c679d85e0d9933c6ae117bd69f61ec7f36cb5a2424412a396ed14c4abf","observation_id":"7f26381d-2301-4bbf-8a8e-4aaf01d2199a","resolution":{"observed_at":"2026-08-15T21:49:44.378588Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-08-17T19:26:44.032537Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-15T21:49:43.554989Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.554989Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:583f6b6df01326831a2129bf54a868f84ad42966c3d6ea017a9f56565ba710f3","observation_id":"c2c1d7e6-cdc8-4da9-9d7b-362b79a57489","resolution":{"observed_at":"2026-08-15T21:49:43.554989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6114","last_updated":"2022-12-10T21:04:00Z","snapshot_observed_at":"2026-08-14T23:50:45.029465Z","submitted_at":"2013-12-20T20:58:10Z","title":"Auto-Encoding Variational Bayes","version":11},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6114","snapshot_observed_at":"2026-08-15T21:49:43.559325Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.559325Z"},"links":{"cited_paper":"/paper/1312.6114","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:91171e7c164af6114b8e20169e906b34809ec82171bc0f3e82dee21c046b478d","observation_id":"cba77a91-fa64-4097-ad42-bcb774c4e9b7","resolution":{"observed_at":"2026-08-15T21:49:43.559325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.362311Z","title":"Kullback and R","venue":null,"work_id":"3b411f0f-3300-4fcd-b19e-99f10aeb7b67","year":1951},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.563598Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:98ac0f6130fd84e86e9250d78d08571858e09e770b2a6ed2b68ce54b03f36880","observation_id":"2fef8076-ddb1-4a63-9595-23d4573fe79e","resolution":{"observed_at":"2026-08-15T21:49:44.366115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.567557Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.567557Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:69856a483dd8e87a3b6af5669ffda3db527c843241e08e9c8e44c555d385de6c","observation_id":"9c10af41-c02d-4932-93c8-33ebb334dfc4","resolution":{"observed_at":"2026-08-15T21:49:43.567557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.345368Z","title":"Le Clainche and J","venue":null,"work_id":"c02029b9-ab77-4acb-b405-1e74f7ed4658","year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.571550Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:b8e39955392638020acc086d39bcbdc5a20dac592df229a6665a487797401de4","observation_id":"01898793-6b47-457c-b58c-430c6c442427","resolution":{"observed_at":"2026-08-15T21:49:44.348434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.334838Z","title":"Lee.Riemannian manifolds: an introduction to curvature, volume 176","venue":null,"work_id":"b2178bb9-868d-4fd6-8189-34172f82d744","year":2006},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.575166Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:25eaf494918046686b826d2b5c5f87219dbf0dcd6b8d89f2a242b0ebbb251c2c","observation_id":"ca172592-7b88-44be-abfe-428147d81fa7","resolution":{"observed_at":"2026-08-15T21:49:44.338525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.323075Z","title":"Li and S","venue":null,"work_id":"3dca3bdc-01f2-4758-aadf-ad129117a3ec","year":2018},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.579431Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:96c5eb1670bdd04034f7addf9ddcfe0930973ea7f1bd785cbbf3356ac2cc6ae3","observation_id":"7fd0537d-420f-439d-8afb-3e7b5c4979fd","resolution":{"observed_at":"2026-08-15T21:49:44.327378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.08895","last_updated":"2021-05-17T03:12:33Z","snapshot_observed_at":"2026-08-14T20:53:04.124337Z","submitted_at":"2020-10-18T00:34:21Z","title":"Fourier Neural Operator for Parametric Partial Differential Equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.08895","snapshot_observed_at":"2026-08-15T21:49:43.583922Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.583922Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:9defc08dead3d0073e38ac14032454ba2cb019d273a06c75bed9a6bc84efc23f","observation_id":"1750c1bd-6598-4e11-b7b5-1dc245766eaf","resolution":{"observed_at":"2026-08-15T21:49:43.583922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.312057Z","title":null,"venue":null,"work_id":"108d8c59-5a90-4bed-97e0-79c3a5b364be","year":2025},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.588583Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:18c1df0eef07a3075280dace8bd30b6b5ccaec4ef3408d8e7d1e82aa396e0548","observation_id":"702e2234-c69f-4299-99d4-67e1410b57dc","resolution":{"observed_at":"2026-08-15T21:49:44.315660Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.299213Z","title":null,"venue":null,"work_id":"2b7e201d-0874-4e1f-93ae-48411002fed7","year":2024},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.592867Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:8de257f9865aeb2a0f1e02c3f9671cbf2b29cbc8ab29f69f4a922ffadd459826","observation_id":"a721394a-2f94-4ef2-a4e3-7a0535e743e2","resolution":{"observed_at":"2026-08-15T21:49:44.304188Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.03448","last_updated":"2021-03-15T18:58:18Z","snapshot_observed_at":"2026-08-16T19:00:35.068324Z","submitted_at":"2020-12-07T05:00:22Z","title":"Variational Autoencoders for Learning Nonlinear Dynamics of Physical Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.03448","snapshot_observed_at":"2026-08-15T21:49:43.596998Z","title":"Lopez and P","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.596998Z"},"links":{"cited_paper":"/paper/2012.03448","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:95bb2d2275f62f05ff65ed299070eeae694611607403452a77187087ac799a80","observation_id":"1648c481-d0e4-49cb-a123-26ad59067956","resolution":{"observed_at":"2026-08-15T21:49:43.596998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.05183","last_updated":"2025-03-26T23:01:01Z","snapshot_observed_at":"2026-08-16T16:53:52.957382Z","submitted_at":"2022-06-10T15:23:23Z","title":"GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.05183","snapshot_observed_at":"2026-08-15T21:49:43.601207Z","title":"Lopez and P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.601207Z"},"links":{"cited_paper":"/paper/2206.05183","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ac9c684b9dddb58b41f73d9088281ced05e4f9600fcbfe06699dd9529c8f8601","observation_id":"61d1fa0f-87ba-480d-bb72-d86217ac5065","resolution":{"observed_at":"2026-08-15T21:49:43.601207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.03193","last_updated":"2020-04-15T00:51:54Z","snapshot_observed_at":"2026-08-15T10:02:22.851586Z","submitted_at":"2019-10-08T03:21:14Z","title":"DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.03193","snapshot_observed_at":"2026-08-15T21:49:43.605497Z","title":null,"venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.605497Z"},"links":{"cited_paper":"/paper/1910.03193","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:3f2727b1cc401daa7399cfd07378554934d4c496ad0365c62653fb4a850f7c41","observation_id":"1c9a3a47-6f7d-40b2-bfa7-cdc4386c55f7","resolution":{"observed_at":"2026-08-15T21:49:43.605497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.288209Z","title":null,"venue":null,"work_id":"da9a8d99-699d-4b01-a546-28c09326a1d7","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.609750Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:77609d58111ba882a4f3d54fd5ab48616b7a12755d5ee7d0e429cf545ef566ac","observation_id":"3bfa2309-42ff-48f0-8e2b-9c43b60eb897","resolution":{"observed_at":"2026-08-15T21:49:44.292032Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.277850Z","title":null,"venue":null,"work_id":"4017fece-4f3e-4ed8-b40e-722d99987c06","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.613802Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:09007077ead48e47fe9cd92b501cc1a2b5d71d99aed004300061797228333f67","observation_id":"51c83267-977b-4799-bbe3-56b57a3677cf","resolution":{"observed_at":"2026-08-15T21:49:44.281386Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.266496Z","title":"Maulik, B","venue":null,"work_id":"ef542144-3cde-4040-a7d1-83f50222d2b3","year":2021},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.618549Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:54bf64d8514a8e3e2887cdb465483c515c9ba5e562f205ca36fb3faca8d35591","observation_id":"87484fb3-b5db-418d-a435-9c12f1c7fe6b","resolution":{"observed_at":"2026-08-15T21:49:44.270820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.255855Z","title":null,"venue":null,"work_id":"cc64c74d-e72f-4d4d-ba92-1b6d0907b932","year":2018},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.622495Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:6c8a565008fe0a368a473f4313d2b5dcab1d3bef19e43262bf2b82ba8d325464","observation_id":"5087a469-1ba5-44af-bb38-486ab7b3ab22","resolution":{"observed_at":"2026-08-15T21:49:44.259533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.245088Z","title":"Milano and P","venue":null,"work_id":"949aed8b-6421-40cb-bee5-fa9e23959049","year":2002},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.625889Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:12ea88bdba82cee706ec0db840285dc29080bea8a6c4a63a85207c5313e4898a","observation_id":"3c064455-ddd7-430d-945b-00eb416c9058","resolution":{"observed_at":"2026-08-15T21:49:44.248270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.235781Z","title":"Moukalled, L","venue":null,"work_id":"d3243a95-11ff-4108-aedd-e26009f29c4a","year":2016},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.629224Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:391c78138807b95be5344b905863315e11ce175987b2837e8dac295b84711a66","observation_id":"debcd3fc-932d-4aaf-a10c-bd03d6cf349f","resolution":{"observed_at":"2026-08-15T21:49:44.238894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.225423Z","title":"Murata, K","venue":null,"work_id":"a099b320-cf1b-458f-a5bc-7a55309829e0","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.632703Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:8b7c8f2039bb005f295a28bb76e5b86f72d8bf58f02ffa58c8fa9e4723df734d","observation_id":"fda3d113-2987-4e8b-94a6-919d6680bd5b","resolution":{"observed_at":"2026-08-15T21:49:44.229163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.214406Z","title":"Nakada and M","venue":null,"work_id":"7b884f81-3e72-4ee2-aa09-8808c9757b3c","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.635790Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:0d8975544e8d60e48fb0ab15b6d7a9298c4667fa6226f9767ce940b85321921d","observation_id":"08245387-1406-4949-a23b-5ae61df42b83","resolution":{"observed_at":"2026-08-15T21:49:44.218064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.202034Z","title":"Nakamura, K","venue":null,"work_id":"2520fdb7-732f-4c9d-913c-4c340b7e4b2c","year":2021},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.638875Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ce8e5313f7f51233d7b987733ca8820c230cfcaa230df176367ce3514a2f8ec5","observation_id":"6f3e39b1-14ca-4b9a-926c-9b51b982ea74","resolution":{"observed_at":"2026-08-15T21:49:44.207004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.189490Z","title":"Niyogi, S","venue":null,"work_id":"8b1620ac-e6d4-4e63-a72a-3d8f010ccdc4","year":2008},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.642464Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:7b88db88bf25f78e899708c756b0a7d6b29f1ae00f466b4f4682a3aa2bd3d41f","observation_id":"972b6e93-6b59-4eb9-ba84-a4ae2a774c28","resolution":{"observed_at":"2026-08-15T21:49:44.194274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.15288","last_updated":"2023-09-26T00:56:23Z","snapshot_observed_at":"2026-08-16T15:12:38.171499Z","submitted_at":"2023-07-28T04:01:48Z","title":"Learning Nonlinear Projections for Reduced-Order Modeling of Dynamical Systems using Constrained Autoencoders","version":2},"cited_work":{"arxiv_id":"2307.15288","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.15288","snapshot_observed_at":"2026-08-15T21:49:43.883008Z","title":"Learning Nonlinear Projections for Reduced-Order Modeling of Dynamical Systems using Constrained Autoencoders","venue":"math.DS","work_id":"e2a2f776-ddf6-48c1-af3f-7a37fede8393","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.645865Z"},"links":{"cited_paper":"/paper/2307.15288","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:79c7961378b1194aadc2cf2228db29a15b5578265eb9604fc0309e6f1825fba7","observation_id":"1b22d63a-6406-4093-bdef-684a4069175b","resolution":{"observed_at":"2026-08-15T21:49:43.887504Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.178823Z","title":"Raissi, P","venue":null,"work_id":"b463f52d-cc24-4e95-b592-f4d5c772d8fe","year":2019},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.649434Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:50306473b1bc782c68f9817ff0e5f08023e02ac11419f23d58a6c717fed909ab","observation_id":"e9e36514-cfac-4548-9db7-016c0ed24df3","resolution":{"observed_at":"2026-08-15T21:49:44.182425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.167448Z","title":null,"venue":null,"work_id":"d8495cf0-059d-42cc-bf54-82d1ce4286e8","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.653687Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:da1ae5c041e27558ab7fa7ae14d34b011a9202d4189cf905a77381e9f3acee1d","observation_id":"5341d633-e56e-46b3-ba23-35c386794fdb","resolution":{"observed_at":"2026-08-15T21:49:44.171511Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.156798Z","title":null,"venue":null,"work_id":"2d17e533-e6fd-4087-83a3-fde8ef020c93","year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.657152Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:d3e6faeeeebe6ccfd415886eb12759cdeac980934783a30945a635d24dfd67a5","observation_id":"db60150f-14f8-4dcf-8781-8df6b649e8b8","resolution":{"observed_at":"2026-08-15T21:49:44.160289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.145555Z","title":null,"venue":null,"work_id":"cfa85d4e-fc83-4185-a92c-8cd88e7c992d","year":2010},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.660674Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:f4c8f23e61212bca57f13d2b24f39fb9cf779f54b4f1f93bfb523cadfa817175","observation_id":"8df67cb2-8b57-4f76-8829-af3b36a918e7","resolution":{"observed_at":"2026-08-15T21:49:44.149475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.664717Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.664717Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:44517da4f585eb6ab8e3c7e030bf1fd7b0c2d67b24f60bafbc2a5a366cf752c5","observation_id":"e1c496e6-24ef-446f-8957-4a6208b7d752","resolution":{"observed_at":"2026-08-15T21:49:43.664717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.129047Z","title":null,"venue":null,"work_id":"8bdaa8ab-960d-4575-b875-c5e760916f0b","year":2022},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.668658Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:b70d9f0a39fbcb0b8092f01af7bc068bc513635b4ebb41cb914f16ca9519bbd4","observation_id":"a04aff30-d5e6-42c7-a5ab-a00fa03a4e40","resolution":{"observed_at":"2026-08-15T21:49:44.132428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.118403Z","title":"Schmidt-Hieber","venue":null,"work_id":"f3b65486-3001-49bf-a66b-ab86b3617970","year":2020},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.672589Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ca8fe943beb182a1ab48239c6317506f8426158ce82a1ce500e8592b33a77419","observation_id":"b03c6aed-9300-4caa-a5d4-43deb5970111","resolution":{"observed_at":"2026-08-15T21:49:44.122004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.106157Z","title":"Shakya, B","venue":null,"work_id":"1b6c1f1d-d258-42ed-8e09-f5aaf6a99739","year":2024},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.676545Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:e21ed614cb464a16b126ab1cf0e3a9b25ce91f719529e5949fe3418ec3b76d07","observation_id":"e4bfe240-57c6-4f3a-aa6e-d00556dd8553","resolution":{"observed_at":"2026-08-15T21:49:44.110575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.094318Z","title":"Sieber, C","venue":null,"work_id":"5f17eab4-a49f-4092-872c-d91729cfc0bb","year":2016},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.680406Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:70eaedbcca3ec043d9050d975c90aed2406a203d4cf389d3149f23332f2b6505","observation_id":"df3e7861-f4b8-48cc-83f5-d40b386c606b","resolution":{"observed_at":"2026-08-15T21:49:44.098340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2304.03571","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:43.865273Z","title":"Solera-Rico, C","venue":null,"work_id":"f1db9bc3-335d-4f06-8060-556c387b06b8","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.684179Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:98c71fe9e76c899356f629793577f6fe0ead01780268e088c5f5f84068f320fd","observation_id":"5b16e8fe-6d51-4080-88ab-e2e0226b5555","resolution":{"observed_at":"2026-08-15T21:49:43.871044Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.688976Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.688976Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:9e89d71a89a519ebdd338f570f4cec413bfe3cdeda0c4180923115e9b8efb4cb","observation_id":"33369331-5b67-464c-a990-90a6c2571aa7","resolution":{"observed_at":"2026-08-15T21:49:43.688976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.075384Z","title":null,"venue":null,"work_id":"1892e77c-896c-42d6-8341-721954fa5d0e","year":2014},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.693659Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:06e4162d50be9ee30209d75dbf4db3598e2d50ecf8266fede52f7d056409c84d","observation_id":"fafbd2bb-582b-438f-aef9-8d2ca452ec92","resolution":{"observed_at":"2026-08-15T21:49:44.079005Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.062561Z","title":null,"venue":null,"work_id":"01c9def0-76f8-454b-a3db-8c7a76299236","year":2011},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.697689Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:59c12658d64c778fd437912217f2f81712f6015839fcc44d8a0f5365bbf80d29","observation_id":"471abf71-ffb1-4ded-89a3-c8f51888429c","resolution":{"observed_at":"2026-08-15T21:49:44.067346Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.051210Z","title":"Van Der Merwe, A","venue":null,"work_id":"06a131f8-f582-4ab1-acba-f4797f195927","year":2000},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.701470Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:abe7d44f9fe81cb82392b54a21eb047f427557435df221363eee0c0552c6a23f","observation_id":"b3f1b9e2-1c56-4c7e-a770-4c6f434b6e6f","resolution":{"observed_at":"2026-08-15T21:49:44.054847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.03762","last_updated":"2023-08-02T00:41:18Z","snapshot_observed_at":"2026-08-19T04:42:40.974785Z","submitted_at":"2017-06-12T17:57:34Z","title":"Attention Is All You Need","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.03762","snapshot_observed_at":"2026-08-15T21:49:43.705401Z","title":"Vaswani, N","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.705401Z"},"links":{"cited_paper":"/paper/1706.03762","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ace36f0728e63d06c7b99f25bcb5bd2f58cd7f42f16145fc58fa9c53c0c38842","observation_id":"80c84f3e-58d6-4070-ab49-cf1daf637a82","resolution":{"observed_at":"2026-08-15T21:49:43.705401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.041084Z","title":null,"venue":null,"work_id":"9c9f123f-90cf-4492-85f0-c7c4bf3d3cae","year":2000},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.709676Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:ab0d13dc6c669f083a6857f90c80db1d19058229584037715eff66178965ef68","observation_id":"62990deb-78c8-46fd-a65b-bd031fbba2ee","resolution":{"observed_at":"2026-08-15T21:49:44.044206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:44.030507Z","title":null,"venue":null,"work_id":"aec69a07-928e-4fd8-9c66-e959dc0d8028","year":2018},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.713509Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:8972d63779de93e11b4aa69d351b3d10f5c5f486f07decb957b93caa9b2def6e","observation_id":"7b181e5c-71b1-48be-bc0d-83c0cd1dfb31","resolution":{"observed_at":"2026-08-15T21:49:44.034413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.717809Z","title":"Yarotsky","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.717809Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:d8947f1f514e0edf894d55aa0b66e0f930481ce6392c13c8e1d63267f4ac47d0","observation_id":"185fc76e-8a4f-4f2f-90a9-00e9ccc74cf1","resolution":{"observed_at":"2026-08-15T21:49:43.717809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:49:44.010434Z","title":null,"venue":null,"work_id":"5d838a31-bd0d-484c-b964-bee5b5cfe54f","year":2023},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.721387Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:263cdf7c4d7e5e2552da4d1b945748ff3c936b56484d753d81fd5c9b0b554cd0","observation_id":"ee1547a7-3f9b-48b1-8c1c-3dc437426b53","resolution":{"observed_at":"2026-08-15T21:49:44.014785Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.11363","last_updated":"2022-03-21T21:51:19Z","snapshot_observed_at":"2026-08-16T17:12:51.799947Z","submitted_at":"2022-03-21T21:51:19Z","title":"PI-VAE: Physics-Informed Variational Auto-Encoder for stochastic differential equations","version":1},"cited_work":{"arxiv_id":"2203.11363","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.11363","snapshot_observed_at":"2026-08-15T21:49:43.762074Z","title":"PI-VAE: Physics-Informed Variational Auto-Encoder for stochastic differential equations","venue":"stat.ML","work_id":"1bcc25f5-4678-4f6d-94ee-085132312ad8","year":2022},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.724931Z"},"links":{"cited_paper":"/paper/2203.11363","citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:0e804fad5cbc32013a66ff220a80b826153261265631a32251002607406e618a","observation_id":"f62b5c21-b608-4d23-8cde-4222abd79549","resolution":{"observed_at":"2026-08-15T21:49:43.768474Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T21:49:43.998777Z","title":null,"venue":null,"work_id":"07f31c21-2b7f-4ee6-9f71-3bb062b4504e","year":2005},"citing_paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-15T21:49:43.729136Z"},"links":{"citing_paper":"/paper/2505.09063"},"observation_digest":"sha256:26f09397107f172ab69f3a6072273e546bfcf157f7aec6bae0aaf84806103b6f","observation_id":"4d787524-44b3-4b9b-ace7-0571a96e1e0e","resolution":{"observed_at":"2026-08-15T21:49:44.002545Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.09063","last_updated":"2025-05-14T01:48:26Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-15T21:38:53.393177Z","submitted_at":"2025-05-14T01:48:26Z","title":"Single-shot prediction of parametric partial differential equations"},"reference_resolution":{"displayed":73,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":36,"verified_exact":4,"verified_fuzzy":33},"total_outbound_references":73},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 1 inbound Pith citation observation for arXiv:2505.09063."}