{"as_of":"2026-08-20T17:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a04c60f12eb30af784fb78d365429bd412e192bb1392a2119d6303c4c28bdb80","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:18:14.176755Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.11328/citation-record","integrity":"/paper/2506.11328/integrity","json":"/paper/2506.11328/citation-record.json","paper":"/paper/2506.11328"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:18:13.647539Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:13.647539Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:94e2bcd92d1063cb0329eb0e06e6171594f0593c269164c70c8239ca9b637e65","observation_id":"751095e6-7199-4c9e-864f-68d115d83001","resolution":{"observed_at":"2026-08-07T04:18:13.647539Z","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":"2026-08-07T04:18:14.703733Z","title":"M., Ruuth, S","venue":null,"work_id":"1de1cff4-bc78-44cd-b75d-16b906f3d68b","year":1995},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:13.708854Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:dbc11d623028fdaaf857345ab69165c9d2a66e785a8689f992dc27c7c00c7b2d","observation_id":"d10b0ba4-5f4d-4371-b1ad-ddff623fecae","resolution":{"observed_at":"2026-08-07T04:18:14.706462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.695545Z","title":null,"venue":null,"work_id":"e7349bec-086f-4167-acbd-1c9e0b58dde6","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:13.785622Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:187cd133ab2b83a0feb3ce7f07c270b38a4381f4ef181f44fbd668fffa581827","observation_id":"17fac074-dfd7-45f8-a2aa-9100eab09481","resolution":{"observed_at":"2026-08-07T04:18:14.698317Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.687316Z","title":null,"venue":null,"work_id":"229272b1-82c8-497b-bbc8-8656b514c660","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:13.975023Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:3a3ead9551d6191c01a90e097dd1c7b3dd22d7b55bfb5a8e72b23b8eb97c08d6","observation_id":"5ccdeaa9-ef24-4931-9c88-6fc7eef4d8aa","resolution":{"observed_at":"2026-08-07T04:18:14.690225Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.677448Z","title":null,"venue":null,"work_id":"e24858e2-6487-44b9-b260-730fee084fd9","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.054592Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:46800cbdd8bfda0ef988bc9202df5a4114e09618748dc6d2391739f2c384c38e","observation_id":"04ce2b27-e243-4d90-8a5c-001fba9d0619","resolution":{"observed_at":"2026-08-07T04:18:14.680750Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07601","last_updated":"2025-04-11T04:22:39Z","snapshot_observed_at":"2026-08-16T12:59:14.352025Z","submitted_at":"2025-01-10T22:31:53Z","title":"Real-Time Decision-Making for Digital Twin in Additive Manufacturing with Model Predictive Control using Time-Series Deep Neural Networks","version":5},"cited_work":{"arxiv_id":"2501.07601","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.07601","snapshot_observed_at":"2026-08-07T04:18:14.407557Z","title":"Real-Time Decision-Making for Digital Twin in Additive Manufacturing with Model Predictive Control using Time-Series Deep Neural Networks","venue":"cs.LG","work_id":"e096fca2-cba8-45d5-9af0-fe85c3438f0c","year":2025},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.058488Z"},"links":{"cited_paper":"/paper/2501.07601","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:d769a2e32f86bd609d4dca5865b2cbd761b5623f3d2aaa096bb06605d61e8fb6","observation_id":"b63a10eb-12bd-4417-920d-f309d8c6aac8","resolution":{"observed_at":"2026-08-07T04:18:14.411441Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.062021Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.062021Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:45a34dec13ac0f988368e9207ad9f1a0315c0fff5f1e945a6310176e9a6c0093","observation_id":"48d135e1-17c3-438c-9a25-e8afa5da630a","resolution":{"observed_at":"2026-08-07T04:18:14.062021Z","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":"2026-08-07T04:18:14.665757Z","title":"M., and Aloise, D","venue":null,"work_id":"c4661370-1b4a-41a6-95af-217a3620a88f","year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.065169Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:f7c6cc535abbd0211bb8c7f7f2e2e0a8fa5765c960bbf9c81ad8f1b3333f2172","observation_id":"20509886-156e-49d5-bf27-ec12a46a893f","resolution":{"observed_at":"2026-08-07T04:18:14.668909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.656355Z","title":null,"venue":null,"work_id":"a9653ae2-d7b0-4eef-a1c1-2177e8a8c5c3","year":1998},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.068811Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:7e2e3c862b4b967c6f23141a2e9f42dfae8111f40e47012e55fdf177f79a1647","observation_id":"eb44ba62-fb1b-4221-827d-2e514300f02e","resolution":{"observed_at":"2026-08-07T04:18:14.659017Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.646958Z","title":"and Graves, A","venue":null,"work_id":"9331fc8a-a62b-4ccd-8c28-3ae475c7e97c","year":2012},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.071969Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:d4648fb1c6091590a61d678be3f05b68941bb5e27dc4d8d8868af4e619b951a7","observation_id":"698d3758-0bd6-404a-894e-825f029ee876","resolution":{"observed_at":"2026-08-07T04:18:14.650155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.637616Z","title":null,"venue":null,"work_id":"032e7646-3ecf-4725-8171-8172b3d45dbb","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.074851Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:0dab8355da295e2894c26d7fc21f343c734715d82b4fd54536a26c67fce4e79e","observation_id":"7c3becb1-d823-4f11-8d68-64907887e102","resolution":{"observed_at":"2026-08-07T04:18:14.641059Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.628597Z","title":null,"venue":null,"work_id":"edc7beb9-b9cc-4d72-9dbf-a6c5516c9bca","year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.077974Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:0b33e4c49ef3a843d43f8fb8a0be4e2a3ccbbc906022a424cb56fa7935242144","observation_id":"42e1df0d-4b5f-4084-8f25-fcb74cc849de","resolution":{"observed_at":"2026-08-07T04:18:14.631349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.619264Z","title":"G., Pretorius, J","venue":null,"work_id":"0e77917d-0034-47fe-9f52-1fd62583d1f7","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.081004Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:f7b0e84d0a3b033f5b2a5d4a4987d62ba1a4c854c51cbd9528876247d82977d5","observation_id":"26a619cc-ec44-4ec1-9534-8eb9bd3e13b2","resolution":{"observed_at":"2026-08-07T04:18:14.622627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.609292Z","title":"X., and Chen, W","venue":null,"work_id":"5f77f789-f6be-4a90-89ce-f59a342827e8","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.084472Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:844d3a4d6ede60735bb3b24fc189237e43e54bb57e13a6552978676de251963c","observation_id":"726fa7ee-b895-4836-9cbe-1349b5929cce","resolution":{"observed_at":"2026-08-07T04:18:14.612838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.599896Z","title":null,"venue":null,"work_id":"7e8e4f5d-bd24-46cb-9f21-0140d337acec","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.087163Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:43905dc20ace3948e82485d72c7d76bdfdac9f1f857ae57414a264056599ad66","observation_id":"93dd3bc8-cf38-4b4d-a218-305b77ff9335","resolution":{"observed_at":"2026-08-07T04:18:14.602711Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.590986Z","title":"and Lee, J","venue":null,"work_id":"1803fd61-f586-48ef-bd30-25f2a8560688","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.089807Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:d4f1a282455dd4bd3835b49d67a0091fd8a3750c07deabce70fc2b82d790aba8","observation_id":"98083332-76d5-414e-8024-5d4664085c45","resolution":{"observed_at":"2026-08-07T04:18:14.593835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.04451","last_updated":"2020-02-18T16:01:18Z","snapshot_observed_at":"2026-07-06T08:50:12.690900Z","submitted_at":"2020-01-13T18:38:28Z","title":"Reformer: The Efficient Transformer","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.04451","snapshot_observed_at":"2026-08-07T04:18:14.092576Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.092576Z"},"links":{"cited_paper":"/paper/2001.04451","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:9a2f1ce4a6c524d03650cdd31098c981a8a60e4c0b5ae793463fc33a18244b3c","observation_id":"c1fafd71-8d04-4400-850b-4491adb2b4e8","resolution":{"observed_at":"2026-08-07T04:18:14.092576Z","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":"2026-08-07T04:18:14.581749Z","title":null,"venue":null,"work_id":"6daf64e6-8641-419d-bd62-671f720f9e7a","year":2022},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.095472Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:d2f9ca87ba02ec92795a50315aa1ac4c56052bd02fdea1521fa17b2c0c00cb2a","observation_id":"f528ec4c-43fa-4ec7-a4a5-7184d88c3e4f","resolution":{"observed_at":"2026-08-07T04:18:14.584700Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.572731Z","title":null,"venue":null,"work_id":"470eb677-2147-448b-9961-4e70b6e87184","year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.098597Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:7df3b6e9a9b32c18bc6d2e01bbe4599422e6100fb41368dcc54b25effae20c6a","observation_id":"97098268-6f2c-4e04-b6fc-92a23bc43236","resolution":{"observed_at":"2026-08-07T04:18:14.575664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.101813Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.101813Z"},"links":{"cited_paper":"/paper/2010.08895","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:fd0e12b2c0d264e234b7397479a8e1172591100f9e63ee3a53068d8843726d2c","observation_id":"7e42bfd5-917c-4122-9874-e8f164c41e1c","resolution":{"observed_at":"2026-08-07T04:18:14.101813Z","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":"2026-08-07T04:18:14.563392Z","title":null,"venue":null,"work_id":"d6a805b7-8c73-4721-b74e-b26ab2cffe37","year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.105436Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:80da1f674e5829d61aedeb5fadae958d8ed4b6691b2dd065da22d4fa2357676d","observation_id":"44dae15e-22e4-4c7b-9c5e-07468e7b5c35","resolution":{"observed_at":"2026-08-07T04:18:14.566415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.108266Z","title":"\\\"O ., Loeff, N., and Pfister, T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.108266Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:c9a4f02ef17869b9704994a5cf1c5886241176de7773f8236943f245424376e7","observation_id":"9f2fbb88-c00f-416b-9420-107b497bfa0b","resolution":{"observed_at":"2026-08-07T04:18:14.108266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.12138","last_updated":"2025-05-17T20:42:23Z","snapshot_observed_at":"2026-08-20T06:28:46.125299Z","submitted_at":"2025-05-17T20:42:23Z","title":"Transformer learns the cross-task prior and regularization for in-context learning","version":1},"cited_work":{"arxiv_id":"2505.12138","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.12138","snapshot_observed_at":"2026-08-07T04:18:14.285893Z","title":"Transformer learns the cross-task prior and regularization for in-context learning","venue":"cs.LG","work_id":"3fe1e466-e23b-440a-86ef-29df4d07647c","year":2025},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.110736Z"},"links":{"cited_paper":"/paper/2505.12138","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:fcb17b769b86a5109c00b2e465168a3404ac34805052fb7fa11e102e3c61f1a1","observation_id":"b30d1b7e-8e02-4d7d-bbe1-79062ff5931a","resolution":{"observed_at":"2026-08-07T04:18:14.289000Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2026-08-07T04:18:14.114145Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.114145Z"},"links":{"cited_paper":"/paper/1910.03193","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:9e6b1367d6fe1e20a974fc226930f62ce695b0ac624755693d18e1054a47f095","observation_id":"701b73f8-2c37-460c-bf1a-39555701acda","resolution":{"observed_at":"2026-08-07T04:18:14.114145Z","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":"2026-08-07T04:18:14.546882Z","title":null,"venue":null,"work_id":"b5738606-b0ea-420d-a40d-a3a00e222dea","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.117175Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:95b3b757af5a89d95a715d734728d99392631771c15674ed9e7e0ad41788cae1","observation_id":"7b1c48ef-6f08-45dd-b5a3-2a4fecd2d249","resolution":{"observed_at":"2026-08-07T04:18:14.550003Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15887","last_updated":"2024-11-19T01:30:14Z","snapshot_observed_at":"2026-08-16T13:32:20.565966Z","submitted_at":"2024-07-21T16:33:56Z","title":"Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.15887","snapshot_observed_at":"2026-08-07T04:18:14.119838Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.119838Z"},"links":{"cited_paper":"/paper/2407.15887","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:07a173e08beb88bf1981a5ed4ae5fe345d98044834278d632ba4b3cea8fab14c","observation_id":"7022390b-1cf6-458e-816b-ebe722a9d9b1","resolution":{"observed_at":"2026-08-07T04:18:14.119838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.11167","last_updated":"2023-06-03T18:34:05Z","snapshot_observed_at":"2026-08-16T15:59:58.036433Z","submitted_at":"2023-01-26T15:12:58Z","title":"Neural Inverse Operators for Solving PDE Inverse Problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.11167","snapshot_observed_at":"2026-08-07T04:18:14.123046Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.123046Z"},"links":{"cited_paper":"/paper/2301.11167","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:48ef0501f79fe5b635c3901fa4811cb62ea60d6fe7cb75eea67e014d7c60ae2a","observation_id":"018afcb0-1067-4159-aa65-2c9557a2a6b4","resolution":{"observed_at":"2026-08-07T04:18:14.123046Z","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":"2026-08-07T04:18:14.536593Z","title":null,"venue":null,"work_id":"cc2b93af-ba5d-469c-b120-9e56a237139f","year":2020},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.126124Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:1dabb3d0f220f98f64421f5f1265b88e920e4d28ef8d5ac85f864d88091fff8c","observation_id":"1c8fd466-c292-4f33-9400-073eedd8acf9","resolution":{"observed_at":"2026-08-07T04:18:14.540574Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.526677Z","title":null,"venue":null,"work_id":"297e47e6-58a4-42aa-abe6-e61f4800d1ce","year":1998},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.128854Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:daef1bfb81d22f8c87ead9d2d1ab8c7d909f9282bda2d97bc6effe29906bf9c5","observation_id":"0a563804-29f6-4796-a973-03c9231aad6b","resolution":{"observed_at":"2026-08-07T04:18:14.529876Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.517646Z","title":null,"venue":null,"work_id":"6909be29-e7a9-46c5-9446-1d944b61049a","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.131621Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:2b882558840f40a961d44c0f4f5224b82e36def87f0652459e6d154650ca0d4f","observation_id":"ca8dbdec-5c7f-440f-abca-d95acd5e1d54","resolution":{"observed_at":"2026-08-07T04:18:14.520519Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.134598Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.134598Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:e4a32ec9b1bee3157979ba64832127ad1db0110c30b30d4027d1a17476bf27dd","observation_id":"cae31a70-97cf-4cfe-bf9a-ed246542d009","resolution":{"observed_at":"2026-08-07T04:18:14.134598Z","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":"2026-08-07T04:18:14.501580Z","title":"and Matteson, D","venue":null,"work_id":"3a3b427c-ef82-43f2-8a15-193f201ea5c3","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.137616Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:18e242372764392ee033881fdac69cbd35ded3e692553d7cc1a5d8b9045a11ea","observation_id":"595057ba-3699-41c4-be9f-a27b7bc9f3a0","resolution":{"observed_at":"2026-08-07T04:18:14.504424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.492433Z","title":"D., Todd, M","venue":null,"work_id":"e7f29401-4c44-4688-af06-f5ba7a6d5db3","year":2022},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.140302Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:b35c8901dd14d06f10a97c0bcf7b5c57e4337aea8f50754fa34c60e95c04d923","observation_id":"e6abc222-df10-45d4-bef9-523fcd143939","resolution":{"observed_at":"2026-08-07T04:18:14.495528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.483726Z","title":null,"venue":null,"work_id":"e4beb0d6-4ef6-4a4b-97e7-0dfb4dbd1e5b","year":2023},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.142932Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:2bdeb3edc926c6ec2a515b3acc602f323db24f3770aeed652d619db4630ab719","observation_id":"6642be4e-8881-48b9-85f9-5dd5b99455e0","resolution":{"observed_at":"2026-08-07T04:18:14.486440Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.474620Z","title":"N., Kaiser, L., and Polosukhin, I","venue":null,"work_id":"d4fc8af7-f1b2-4b84-b4de-76d8e79026f2","year":2017},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.145761Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:b3a8d5d201fb1e5f16ddfe7a87fce7e58e01403c5ecc4bbb2af9c2741fd5782b","observation_id":"10b543b2-4b26-42de-a23f-0226a553d583","resolution":{"observed_at":"2026-08-07T04:18:14.477682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.00040","last_updated":"2024-10-29T14:45:07Z","snapshot_observed_at":"2026-08-16T13:04:57.669077Z","submitted_at":"2024-10-29T14:45:07Z","title":"P$^2$C$^2$Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics","version":1},"cited_work":{"arxiv_id":"2411.00040","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.00040","snapshot_observed_at":"2026-08-07T04:18:14.243735Z","title":"P$^2$C$^2$Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics","venue":"math.NA","work_id":"c6985b00-41e0-491e-8a64-a92c9c1c8e0f","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.148707Z"},"links":{"cited_paper":"/paper/2411.00040","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:ca6e96975bd7c1c58ef2a03938572c0b3d2b2f103734d529a5f2976076bd7c86","observation_id":"007a9447-22b7-4dc0-b98f-37cc3a918997","resolution":{"observed_at":"2026-08-07T04:18:14.246992Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.464892Z","title":null,"venue":null,"work_id":"5932d565-e2d6-4937-8aef-9188baa50e04","year":2022},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.152162Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:898712b9c97e013745c1ec1d731f800b0a00ce68b2b3442f2117b5eadefdac6f","observation_id":"df4a6f81-3d31-4839-a2d6-b4e3b7593f9a","resolution":{"observed_at":"2026-08-07T04:18:14.467858Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02366","last_updated":"2024-06-01T15:33:37Z","snapshot_observed_at":"2026-08-18T09:48:19.058609Z","submitted_at":"2024-02-04T06:37:38Z","title":"Transolver: A Fast Transformer Solver for PDEs on General Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02366","snapshot_observed_at":"2026-08-07T04:18:14.155213Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.155213Z"},"links":{"cited_paper":"/paper/2402.02366","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:5f0ec990ba7a5b4887cb5abcd3c360c9d5fdb92e41f3d7b41e09315c84f0ac04","observation_id":"7eee0c20-3cbf-4222-b386-2b5550cdf1a1","resolution":{"observed_at":"2026-08-07T04:18:14.155213Z","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":"2026-08-07T04:18:14.456017Z","title":"J., Lee, C.-H., and Yu, Y","venue":null,"work_id":"ea779fb1-a63c-42f6-9b3d-d08f3e91c8da","year":2022},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.158245Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:49e9e1873a71732ca44c2051839d01185b23efa171ee7c51d2d6b9ae40b94288","observation_id":"6c64eff9-f567-471f-8285-fc3591eb3b63","resolution":{"observed_at":"2026-08-07T04:18:14.458836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07307","last_updated":"2024-08-14T05:57:56Z","snapshot_observed_at":"2026-08-16T13:26:35.319191Z","submitted_at":"2024-08-14T05:57:56Z","title":"Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery","version":1},"cited_work":{"arxiv_id":"2408.07307","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.07307","snapshot_observed_at":"2026-08-07T04:18:14.216717Z","title":"Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery","venue":"cs.LG","work_id":"caa058e9-a182-435b-887a-c6db420406e4","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.160840Z"},"links":{"cited_paper":"/paper/2408.07307","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:2266dc7c1f32a418561962bc532328665f7e9f0be97d6f02b799b85e62c3b958","observation_id":"8119ad3b-1236-4817-88ce-3d577eec0ede","resolution":{"observed_at":"2026-08-07T04:18:14.222495Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.446973Z","title":null,"venue":null,"work_id":"1c233bb8-2559-4e8f-aabd-f6e71df7d576","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.164140Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:ad4984a3418a00e4d33ece1f85ac5ad3e133f6033d45fa0185c8c2eb578907b4","observation_id":"50e8b8bb-69e3-43f4-9aab-e373c675e0fa","resolution":{"observed_at":"2026-08-07T04:18:14.449896Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1809.08113","last_updated":"2018-09-20T07:16:33Z","snapshot_observed_at":"2026-08-14T18:25:59.924852Z","submitted_at":"2018-09-20T07:16:33Z","title":"Human activity recognition based on time series analysis using U-Net","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.08113","snapshot_observed_at":"2026-08-07T04:18:14.167571Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.167571Z"},"links":{"cited_paper":"/paper/1809.08113","citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:743d876d3e42d905172a0abc920d46c9667e4593c5dd1a2cdd2d598e43f6c23f","observation_id":"70ed17bc-fa37-4a76-b396-b76b5101940f","resolution":{"observed_at":"2026-08-07T04:18:14.167571Z","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":"2026-08-07T04:18:14.436226Z","title":null,"venue":null,"work_id":"16317976-e1e0-44f4-8513-a03025e76f5e","year":2024},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.170949Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:177ac44940c7b55f2ef85b1962b06d73f6833e8996a8f7827c80a849c6c84d4c","observation_id":"adc2302b-d923-41ae-842a-b75ef6051fec","resolution":{"observed_at":"2026-08-07T04:18:14.439944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.426649Z","title":null,"venue":null,"work_id":"dbdb30fd-cd6a-4957-bbbf-fb48b3e1e7e2","year":2021},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.173860Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:2e18b994a20c07393c75709b479ee42d213c440af3974ba6c326269a67e41d26","observation_id":"ea21c21a-dea6-43b1-9e76-06b8f799a9d8","resolution":{"observed_at":"2026-08-07T04:18:14.429530Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-07T04:18:14.176755Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-07T04:18:14.176755Z"},"links":{"citing_paper":"/paper/2506.11328"},"observation_digest":"sha256:8b1c36b003d7b9c690271e29924baffd5a278a51b3d829281c6bf35f4680f79b","observation_id":"6e3c599b-8de3-4135-94ac-d7a918c0f8ba","resolution":{"observed_at":"2026-08-07T04:18:14.176755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.11328","last_updated":"2025-06-12T21:54:47Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-12T01:48:33.793139Z","submitted_at":"2025-06-12T21:54:47Z","title":"An Attention-based Spatio-Temporal Neural Operator for Evolving Physics"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":31,"verified_exact":3,"verified_fuzzy":10},"total_outbound_references":45},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2506.11328."}