{"as_of":"2026-08-21T18:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a4363df88c5027a88d43f80d6eec517ca4febaca2d10dfd0f2d21a6f8d771472","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T02:12:50.446621Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.09552/citation-record","integrity":"/paper/2607.09552/integrity","json":"/paper/2607.09552/citation-record.json","paper":"/paper/2607.09552"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Unified gas-kinetic wave-particle methods","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:fd6454d5c45c734cdc795bf248a6d75cae63481aca3b892f4d564e909bcbd9b8","observation_id":"358443a5-1351-4040-9b93-11e80ffc645d","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Unified gas-kinetic wave-particle methods","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:1c07ee00e2c3e38f706626e0fa7616814980620f1499c88a42fc0fe88bb015e8","observation_id":"6d9375cc-fae1-40b7-a304-f2da38b690d1","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"A gas-kinetic","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:8f0ecd4c2a81966cd98d7b03e5e7f140ba69315f99cf239108e5c90ff015ef5f","observation_id":"a54707c2-3382-45c9-9566-2c3412858318","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:cefe8f5fa56a915e1a3e51eacfe89d74323783d0a3395189419860bc92b53e65","observation_id":"b4e85972-a192-4f94-ad38-965b161ab18d","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Direct modeling for computational fluid dynamics:","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:b5b5b52af127d9a172988cff2e1ee0c0c9d8be761c8496508df8e50682b923aa","observation_id":"b336116c-11dc-4837-988e-cee32ff0e7fe","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"2021 , publisher=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:63b9afc7ebc65554c7a73907f864eaecc1db48f282d59fcd46188b055a9af8c5","observation_id":"0e886bbf-09ba-4425-a6f0-11862b934ea6","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Communications in Computational Physics , volume=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:ee5fe5cae9dd23dc93338ec92e0a0bb74330f993268b8e8f63e6da39d5bba7ed","observation_id":"b25ab5dc-cdc9-443c-b62f-c8602b093517","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"A unified gas-kinetic framework from","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:6ca1a670badcc651b7f3168c643e297141b6c8d5e15ca417ac2b97d8fe50be72","observation_id":"7a318ece-97fd-4769-879a-45a904deaf73","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Physical Review E , volume=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:582bf9a97de3f8a8f4c71b5d48ac58511af040592f055adac896ff20edb5376e","observation_id":"ae642404-d512-481c-bb46-3656b0468736","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Physics of Fluids , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:9f447106762791cc0e9511cef63d2eccdce9f54c89b9ad81304b41c3d9167bff","observation_id":"7d8b475c-1bad-4816-91cb-0777537d74a2","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Unified gas-kinetic wave-particle methods","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:73db482712f9865de378b25e5f7c8b1c3d5276ffed10c90aca8766b91273780f","observation_id":"c5ca5533-5856-49a6-bb42-c5ef2ed1c840","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Unified gas-kinetic wave-particle methods","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:9da1d7c920c4a051d94564f7ad0e75490148e397444b56fabc5c3e2a7e3a3999","observation_id":"706e38f8-e01a-4996-ac2c-97de7a4f85f9","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Physics of Fluids , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:eb6a25feba38f3f4e4dcfd17899f7bec070c17203a1a28d786dd631e6b4870f8","observation_id":"1040e356-eb83-4f8a-a61c-53b47bc9e829","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:257c22fe5abee60653d293dce57f4ed357ecc6cf45e540b5336bcc3b70d4a5a6","observation_id":"bb7ca656-4f07-4e26-8c32-a65adf6215d3","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Computers","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:0e04f44e440239c4e45c3ed19e61cd0b2c32eff3382e6912e859cd387580f16d","observation_id":"84c9ae0d-f5db-4da2-8d0b-9f7766bf48bc","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Physics of Fluids , volume=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:c54c04f5b65e0d584442c90b8304c48df3bbcf57226e1fcef029aa0ac6251108","observation_id":"74fba0fd-eb2f-4070-a21b-2e3904aa8bf9","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Modeling and computation for non-equilibrium gas dynamics:","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:e76b852b04edea8f2229355cd0222c4bf771796324602829996c3bca272da1c7","observation_id":"e48c453b-1f95-4305-bcdf-e831d5bd1aec","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:3ec0b51d0b251cad89e69e9bbb1d7710681442b9cdae62ec6eed1dbf8e14db1d","observation_id":"17f52676-7080-4fbd-8583-ffc4d8447890","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:aca17584eb8844a5e74d7f11058d28dbaa466f8948cdf9d789048971a32e48d3","observation_id":"7a2bcf5f-d61f-4305-840d-1af9a17c2d27","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Kannenberg and Iain D","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:7111e7ed20f6fe684277779c9c34556c04c11015bb70bdfbb68f9392853a722f","observation_id":"54661907-2679-4ccd-b381-7efc5be25411","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"A parallel","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:3b0079755e2eb0f49ab3b788dbdeda8d27198d6324730dab3377e9e11b0e2c62","observation_id":"90de07b5-bc37-4379-bc57-82879320d590","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Lo and C.-C","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:ece292114e60d3be66d1b8cf84ac47fc243f075a6b93a62418750035ae8c0dc2","observation_id":"c0319af5-e18a-48bd-9a0e-08fd41201eba","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Progress in Aerospace Sciences , volume=","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:ac1b6cccfd20b322b0fe8bc2ff39778758eff8ae0b53fc972070e30d14d8bf4b","observation_id":"5fb53c7a-9334-4798-a17e-2daa76223740","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:449eac0cc690a4d24736e34511122eed3d347c3333cb63f7ba613a6f74ad2888","observation_id":"52d80ecf-7df1-442b-9222-8fa7e3ddd231","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Convergence-accelerated simplified unified wave-particle method via local time-stepping for","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:d2698be227161a377513ef5e7396457a382cfdc4210cf7b0672dda371a2d5647","observation_id":"2ac54128-9df8-4bde-a630-ec36e2b17264","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:734701c3e8099b7eee23598789015d848379eda36fe255c81564ee9a13f5f79f","observation_id":"54497874-befe-4cfc-92c2-48cf5f30ec62","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:5d6b4f1a5122a43511324a079536f17369de5bc84ff5354481f42f51ab52a56e","observation_id":"f2582cc1-a527-45d8-9b28-3555e9ce4c65","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:65e142c6d33dd3f14b31d3592eea5ac897040c5d5b9bb401267a9b6c315cc54f","observation_id":"814c38de-c474-476f-997f-4b409eef9d78","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Adaptive criterion and modification of wave-particle decomposition in","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:a79078277a326c9e9a0337023f56353e3889258294453ecea9daba6accd40926","observation_id":"31f4c6c6-92be-40be-b23f-8b3560058b03","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"29th CFD Lecture Series 1998-03 von K","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:6f89884b704f175e7d8ede072b375ac01d1ae8dd467fb20c6f05524ca7827ebc","observation_id":"d4d4cd46-4b77-4536-96d8-af0d4a24bd7d","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Progress in Aerospace Sciences , volume=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:e3f9a2e4133ce69974e3e36716fde20206e13f27fa2f2945f775a735376ea0e2","observation_id":"4e772e11-4b36-4457-b488-5ff287173da7","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Progress in Astronautics and Aeronautics , volume=","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:d55b09c0bd2002f733810995eb3f01f162231b9d91cac798a3672a3c4ec246b9","observation_id":"2f4d29d9-16c0-44ff-a50c-de14b8f07e2d","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Physics of Fluids , volume=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:ec73b9a946c24c7903bb42a29c134f9ff4329eedfdbf584b5b9fc0b445bd647a","observation_id":"48537d31-1d8f-40e0-bd5c-03f81fb6abef","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:12:50.446621Z","title":"Advances in Aerodynamics , volume=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-13T02:12:50.446621Z"},"links":{"citing_paper":"/paper/2607.09552"},"observation_digest":"sha256:0efc3dbe1c013101b0ffa76848b5988c44e8454b3fd06a014152eaac44bb5524","observation_id":"53096856-612e-49ba-9ba8-274c3818937d","resolution":{"observed_at":"2026-07-13T02:12:50.446621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.09552","last_updated":"2026-07-10T16:00:46Z","latest_version":1,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-13T08:54:47.537391Z","submitted_at":"2026-07-10T16:00:46Z","title":"Rigorously justified local time stepping in UGKWP method for steady multiscale flow simulation"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":34},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.09552."}