{"as_of":"2026-08-12T13:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d03c84ce628add740d5cc45e3e5ebdc8dc20f407c9d0262cf86aef3483b925f0","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T00:44:59.539857Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2506.12922/citation-record","integrity":"/paper/2506.12922/integrity","json":"/paper/2506.12922/citation-record.json","paper":"/paper/2506.12922"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T00:45:08.384966Z","title":"Ahmad, T","venue":null,"work_id":"2c7f919f-37f7-44dd-9ae0-f5f15cdbd2c2","year":2019},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.074718Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:0ae0343510f672a7693ba31fe85fd432fc1f166c003f3fed3dfcdecddb083b7f","observation_id":"d1092301-e5aa-45b6-a380-62e8bfd92e80","resolution":{"observed_at":"2026-08-07T00:45:08.549758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:08.137954Z","title":null,"venue":null,"work_id":"41e809c3-46f5-4fca-9d38-d8e4089de13e","year":2011},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.234964Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:5f4652ee0ad7d55fb2ba0cc74ee123c7f7f576937fd7cec70a1a56e3788a218b","observation_id":"449caff5-c621-4343-9716-0365444152ab","resolution":{"observed_at":"2026-08-07T00:45:08.263276Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:07.903261Z","title":null,"venue":null,"work_id":"29740d71-6a92-40bc-a32b-98b0ce53abdc","year":2019},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.426243Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:285c3bc16d403be1d1f54a34d2f4ba1ed60fe6387bb926402b06defbc63044a4","observation_id":"5e3d2768-63cc-4ea6-82e9-5426d28ae150","resolution":{"observed_at":"2026-08-07T00:45:08.017403Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:07.669226Z","title":null,"venue":null,"work_id":"c7027964-a517-439e-9fbd-60daa91c3a66","year":2018},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.521415Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:5e511e3df6300b165df2de8cfb410f38d276a9be4911c6cbef99e85c0b9ad9a4","observation_id":"3b812bab-2325-4746-8ab2-1ca549c35e3f","resolution":{"observed_at":"2026-08-07T00:45:07.786760Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:07.414522Z","title":"Blatt, A","venue":null,"work_id":"667ee0f1-ab6d-45e2-9b58-0acacac32cef","year":2016},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.655624Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:7beaec1fed3bc7ed2b57686718303cc2e4bd2320030bc971f59fe2df4b7aed28","observation_id":"3b1294d8-86a4-468c-8ec7-f976f8e94fd4","resolution":{"observed_at":"2026-08-07T00:45:07.537686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:07.177831Z","title":"Bungartz and M","venue":null,"work_id":"677e323f-eef1-4618-9bba-0fecedce4bca","year":2004},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.812025Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:f109239fdc714fd50f296b7753f37a50670b3355913eecce2574ff87fb852924","observation_id":"3a26b538-731c-43fb-812e-3329929319e7","resolution":{"observed_at":"2026-08-07T00:45:07.292439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:06.903863Z","title":null,"venue":null,"work_id":"ebf966cf-d0f6-4e83-973e-743fab486235","year":2013},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:55.943018Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:b15532e6a1246a14249a73e351d742817fff001439b7e5e8957eba35d341aea7","observation_id":"9c3b566a-5a2b-4f1e-8d60-4fb053496f85","resolution":{"observed_at":"2026-08-07T00:45:07.022713Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:06.658131Z","title":null,"venue":null,"work_id":"9e43d0c2-bd6c-499f-a8bc-bf8fd99540f8","year":1931},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.060583Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:8e4d650b97eea81433a11ff234a711b89660262cfdcd515f6d6b0fe2111b1603","observation_id":"4164557f-4143-4fef-93b5-83fff2aae5cd","resolution":{"observed_at":"2026-08-07T00:45:06.786965Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16887","last_updated":"2025-06-09T01:40:44Z","snapshot_observed_at":"2026-08-05T03:30:28.408873Z","submitted_at":"2024-02-23T09:06:36Z","title":"A Comprehensive Survey on Artificial Intelligence for Complex Network: Potential, Methodology and Application","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16887","snapshot_observed_at":"2026-08-07T00:44:56.167921Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.167921Z"},"links":{"cited_paper":"/paper/2402.16887","citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:58d877e715f6f54f8a9df7f3dc7bfb6e6329aaa7f79d2f4b2a0d625bdf26d716","observation_id":"bdd2feb6-5bd4-47ba-b415-6c3b1a62b34b","resolution":{"observed_at":"2026-08-07T00:44:56.167921Z","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":"2026-08-07T00:45:06.414817Z","title":"Egger, U","venue":null,"work_id":"faac65d8-6559-489d-95fa-4f4b4efe15e8","year":2014},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.256839Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:997e24cc8a1cf8807036b97ead9ff5ffbdbcfea0c92831d2efd946a7c5e3e3f0","observation_id":"4bba21a2-7590-4050-b92a-00d3198c4f31","resolution":{"observed_at":"2026-08-07T00:45:06.544124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:06.200471Z","title":"Hennigh, S","venue":null,"work_id":"6ce2d52c-6004-4c7f-8dcd-2154a2c7c25f","year":2021},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.333358Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:5d0cc18669012afe2817e56e817e879e6cdd0258a3fa280dcec0f179913e907e","observation_id":"07113189-224c-4ad2-81f9-94a311bca7a9","resolution":{"observed_at":"2026-08-07T00:45:06.340980Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:05.986241Z","title":null,"venue":null,"work_id":"f97fb002-c089-4c63-a1fa-d6f1fbf8cf33","year":2020},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.440566Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:c56fe276ba73edfada9f1f0b4f4488cdf1885c10a5944203fb20e4ab7afcca87","observation_id":"06f6e36d-b2c3-484d-895b-812d8643175f","resolution":{"observed_at":"2026-08-07T00:45:06.083803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:05.694108Z","title":"Number44.Cambridge university press, 2009","venue":null,"work_id":"90d32b32-2de2-4ddd-b454-0e281bd0e01c","year":2009},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.553610Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:f06f743fa28c1e63373850eda417b06d4d9aeed3039832bc8bb2540ab0d3d6c0","observation_id":"17622428-8215-4424-9b9b-d2c32ffe2272","resolution":{"observed_at":"2026-08-07T00:45:05.842799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:05.476953Z","title":null,"venue":null,"work_id":"224abf10-b0e9-487f-983a-09ca02d6b5df","year":2020},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.677514Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:9661560a8da07a2c4fc103a84c1dfe45b1574c1abd9b654702319b844f777631","observation_id":"e96c803e-feff-4562-9831-e49d52f68b07","resolution":{"observed_at":"2026-08-07T00:45:05.581272Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:05.228050Z","title":null,"venue":null,"work_id":"3ede3b92-9958-4bbb-86e9-c874da262c61","year":2020},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.738250Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:d626fab585ddad16607bc4eaac84efdb73b229cfc64207e45eb63855b347483c","observation_id":"e8e8d32f-8d58-4692-aaf3-3e91fa4643f8","resolution":{"observed_at":"2026-08-07T00:45:05.364950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:04.996043Z","title":null,"venue":null,"work_id":"ce6e326f-fbc2-4992-aff5-6065311541df","year":2012},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.816387Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:fb8e4c2d9b28c2189410cce839b0523ca334e0a50df0aed9449be67a36881d18","observation_id":"d386cfb8-bf73-4f6b-918c-0fa57902a65e","resolution":{"observed_at":"2026-08-07T00:45:05.118289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:04.684042Z","title":null,"venue":null,"work_id":"eb59f6e3-b35c-44fe-8ef0-09b9cba385dd","year":2015},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:56.888264Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:e46dc2c0adda4eb3c10e85769215520cd42027b2613257188c8c02a2622e5ccd","observation_id":"66145c1b-2586-4943-8169-815d51047b51","resolution":{"observed_at":"2026-08-07T00:45:04.869300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:04.322309Z","title":null,"venue":null,"work_id":"f278bf65-1550-4daa-8445-2f7c401ba26c","year":2022},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.016697Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:1208e067ec07e35b4068bdb452c4ae677958666e719be1a3616393f34df5e021","observation_id":"e0ea320d-317a-4909-b48e-3a0f41e02c0e","resolution":{"observed_at":"2026-08-07T00:45:04.464740Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:04.020036Z","title":"Jiwari and N","venue":null,"work_id":"a7dda820-f4d2-4477-80e3-128391e775e5","year":2023},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.118882Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:dab8924627384de5894ac08a9d1cf27f2a10ab4926545de3f533bf9a16cdfe3e","observation_id":"b2c67038-c116-4736-99a8-782fa663923f","resolution":{"observed_at":"2026-08-07T00:45:04.167988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:03.813022Z","title":"Jiwari, S","venue":null,"work_id":"585cbfd7-2570-4aa2-99c5-37e577ec0f6d","year":2019},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.234820Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:47f8396f5ddb74b940ddc01a566bd6b8ff8418826dc6be7d3aaa712e44dc5981","observation_id":"cea6058a-5f47-42bf-8817-527af54cdbc6","resolution":{"observed_at":"2026-08-07T00:45:03.862469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2409.08746","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T00:44:59.812201Z","title":"Jiwari and S","venue":null,"work_id":"b4e1beb8-e903-4653-af5f-339bde094c89","year":2024},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.343793Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:7d0b6020187ee780a827e28fb5bfddf561fd29f2368283100187fad4f68b7b79","observation_id":"e193e921-ecf1-4b45-971d-eb09ace931a4","resolution":{"observed_at":"2026-08-07T00:44:59.914443Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:44:57.491511Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.491511Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:e751413288699bbd6dba842353b94bfdb343aa8445f94f2549445072008615f6","observation_id":"30893952-f13f-4031-a6ab-583804f6d38f","resolution":{"observed_at":"2026-08-07T00:44:57.491511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.00873","last_updated":"2019-11-27T19:51:39Z","snapshot_observed_at":"2026-07-06T08:41:25.156353Z","submitted_at":"2019-11-27T19:51:39Z","title":"Variational Physics-Informed Neural Networks For Solving Partial Differential Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.00873","snapshot_observed_at":"2026-08-07T00:44:57.567695Z","title":"Kharazmi, Z","venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.567695Z"},"links":{"cited_paper":"/paper/1912.00873","citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:198d24c70cd6364f48b4f81821cf183658e6ee8518fb27ecb204a70a33dceca0","observation_id":"847ee41a-44c6-4cdc-8183-8ecaa0426d37","resolution":{"observed_at":"2026-08-07T00:44:57.567695Z","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":"2026-08-07T00:45:03.539551Z","title":"Khater, R","venue":null,"work_id":"6105cfef-005a-4512-8c8a-070f690aa57a","year":2008},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.696773Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:f25032eecee5413ccebb21564a89a38059c581175b9a36dc2db8a0249e1bb1a8","observation_id":"4051fe43-5fb6-482f-9e83-50aee8b2e6f7","resolution":{"observed_at":"2026-08-07T00:45:03.664334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","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":"2026-08-07T00:44:57.806180Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.806180Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:0b2c60e4714fa482a819536e9fcee6ddcd727663257f9e52e46eabe107b3465c","observation_id":"72e3f34e-5409-4199-9faf-21d8b8a90b9c","resolution":{"observed_at":"2026-08-07T00:44:57.806180Z","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":"2026-08-07T00:45:03.336149Z","title":"Kovacs, L","venue":null,"work_id":"f78f77be-1316-4f33-9f3e-ee8ff3934635","year":2022},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.913509Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:7c315eb188d54453b0fac2550def514c4b40d880324ed4462d24ab9c930fed63","observation_id":"b5149b92-e428-418a-93be-004a79d7a86e","resolution":{"observed_at":"2026-08-07T00:45:03.444769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:03.101146Z","title":"Kumar, A","venue":null,"work_id":"1d43b734-767f-44a1-a7f0-e3cb749d7062","year":2025},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:57.959421Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:35e8f5c69bfcbe4cf8ed1e1eefd752eaa1acb5388c5757e7673e95e7cd3de1f5","observation_id":"81880751-6cdd-4a5e-851e-76d1445b7910","resolution":{"observed_at":"2026-08-07T00:45:03.223246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:02.894755Z","title":null,"venue":null,"work_id":"fd35a8df-52f0-4fd0-8c1f-15fed09f2f2d","year":2021},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.081591Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:b0a530403dad9339406d1a17ed85e2ac5ab600de2fddc8f0df663c3be2eae232","observation_id":"94755a9c-6b13-4268-a58f-096b6841b717","resolution":{"observed_at":"2026-08-07T00:45:03.000386Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:02.709010Z","title":null,"venue":null,"work_id":"1f17010c-7911-46c7-92fc-66ac17eb1968","year":2021},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.174429Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:51237b38248f8007628d35e06267c6bc58316189fa8c1fd744c88cdca5dce696","observation_id":"34906274-c278-4e4a-a3cf-d88cf9d31ce5","resolution":{"observed_at":"2026-08-07T00:45:02.807908Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:02.490467Z","title":null,"venue":null,"work_id":"ba01dd12-f352-4c54-8666-11300af0cb9c","year":2020},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.250134Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:33d2a51e758101a1fc1a9cbfafec6d6be369c8cd63a54ac5666fafe3cc0f8eee","observation_id":"673dfbc9-b2e4-456b-b6ee-2b41fbd13483","resolution":{"observed_at":"2026-08-07T00:45:02.578197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:02.291892Z","title":"Mittal and R","venue":null,"work_id":"ac27bbff-12f8-4e67-b98b-561a02f1e2f9","year":2012},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.363953Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:4a2f6b3b211299a9bbc2b9ade64eabe8228855238910b966f8ce0e73ab8a4ca5","observation_id":"537ff401-63d8-41a5-9a94-af969c420b7f","resolution":{"observed_at":"2026-08-07T00:45:02.385879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:02.097654Z","title":"Mittal and A","venue":null,"work_id":"97cf3af2-3a34-4a88-80d4-4df0c5801a6d","year":2014},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.443386Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:7c7745d5008350289de859cae60260ff7fe72d7a52dca65b47a2ae4ad3e47545","observation_id":"751d0843-7c81-4ebb-a42c-0492fd60963e","resolution":{"observed_at":"2026-08-07T00:45:02.197814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:01.910141Z","title":"Moseley, A","venue":null,"work_id":"b8e74465-35cf-4c4e-a9e1-ea3c471bc4ad","year":2023},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.566636Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:d9e8727b782c91976e29c5e8334ead7f54208627aaee100820634cc5ca71f3e9","observation_id":"f363f57c-e9fe-4713-87f2-631f541306b7","resolution":{"observed_at":"2026-08-07T00:45:02.009124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:01.723753Z","title":"Raissi, P","venue":null,"work_id":"7ff5c2be-191f-4e30-8909-3bd39c153482","year":2019},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.687698Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:36af131c6b3791c44540c8aecf44fc007da14ad66767322b392353ed16a4ea2c","observation_id":"9f794ac2-a2ef-4551-8d99-1491bb8a06dc","resolution":{"observed_at":"2026-08-07T00:45:01.815130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:01.519475Z","title":"Rashid and A","venue":null,"work_id":"c16c0c78-0ad0-4d0a-ba4a-452695813b1e","year":2009},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.757308Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:1eb557c5012eb12f32ff13a6f9aa19df2e42ce861f667e6e00a46456e03eca46","observation_id":"1f3f44c3-277b-4844-8f81-f3537e56ead6","resolution":{"observed_at":"2026-08-07T00:45:01.603011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:01.289248Z","title":"Sheng and T","venue":null,"work_id":"e822fb68-8f97-4af5-9168-5f100abdb8b4","year":2018},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:58.878179Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:d4bb79c4e31f98ab70cd10b0ad61bc2f7d4ff3d5a934cc1710231d23339c7ebd","observation_id":"78d0be01-bfa7-48e4-acdb-1e1eca184bbc","resolution":{"observed_at":"2026-08-07T00:45:01.412575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:01.120502Z","title":"Singh, H","venue":null,"work_id":"bddf3b7e-d2ba-484e-ae66-41f180b58595","year":2025},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.000269Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:1a7df9137399090908fa5a736c8957ae3ce405311997fb9bebe110435a2e8bfa","observation_id":"412aced1-85d1-4ac5-808d-0ffdb1faecbc","resolution":{"observed_at":"2026-08-07T00:45:01.196687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:00.933863Z","title":null,"venue":null,"work_id":"0963daec-c3fa-4d64-a27e-d87aafc3688b","year":2022},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.112031Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:fc94a21d60f16014c869345c326d2e4d98b2384b5f33bdc7767543c65c4c824b","observation_id":"75ceed74-f8d4-4140-b0e7-b8baec209813","resolution":{"observed_at":"2026-08-07T00:45:01.037464Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:00.720979Z","title":"Thanasutives, M","venue":null,"work_id":"7cafcf67-e74b-4fdc-86d4-028449596eae","year":2021},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.216025Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:7965945e24c8ffbcc09bb07ec962fa4a1b1588fafde04f387d2a5328cdb8c465","observation_id":"860f8f0a-cd13-42e8-9d6d-b32768cf781e","resolution":{"observed_at":"2026-08-07T00:45:00.823321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:00.514491Z","title":null,"venue":null,"work_id":"bc783a5b-995e-472f-88b9-70c39cddb1d4","year":2007},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.323812Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:ca14d6c749bda62564e629d88672e7293db23ac10d06dfb08ead913bc8e66da3","observation_id":"9bbd287b-6e57-47a3-a307-41b5584dcc29","resolution":{"observed_at":"2026-08-07T00:45:00.615866Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:00.300831Z","title":"Wojtowytsch and E","venue":null,"work_id":"45b72de1-fe68-4159-8e30-7b4d02360189","year":2020},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.390919Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:4dd7a287825855065abe3a5c159d8be8fbf1b51fc45e134c64cd9f9f867e0d28","observation_id":"003133ad-4526-451d-b73c-a6c57f283a7b","resolution":{"observed_at":"2026-08-07T00:45:00.390439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T00:45:00.058036Z","title":"Adeeplearningframeworkforsolvingforwardandinverseproblems of power-law fluids.Physics of Fluids, 35(9), 2023","venue":null,"work_id":"f89cdfcc-545b-46f8-b6e9-22c5d8756955","year":2023},"citing_paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T00:44:59.539857Z"},"links":{"citing_paper":"/paper/2506.12922"},"observation_digest":"sha256:e738d8d59e4ef54477068832172718732234795a5c04d52d118f6c7f96882a4d","observation_id":"2efea33f-a81b-4732-b767-86403763ce91","resolution":{"observed_at":"2026-08-07T00:45:00.190897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.12922","last_updated":"2025-06-15T17:39:15Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-09T18:22:35.220870Z","submitted_at":"2025-06-15T17:39:15Z","title":"PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":42},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2506.12922."}