{"as_of":"2026-08-15T09:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ce7b4d2e87b2b7600f329af3e9c2b3a8b66c0302aa3064d079662fccead4fd2","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:17:20.927912Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T13:42:42.027742Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"cited_work":{"arxiv_id":"2506.03291","doi":"10.48550/arxiv.2506.03291","metadata_source":"arxiv_reference","pith_arxiv_id":"2506.03291","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv preprint (2025) doi: 10.48550/arXiv.2506.03291","venue":"ArXiv.org","work_id":"b5106f53-4dc3-4533-8e2f-171718c9816c","year":2025},"citing_paper":{"arxiv_id":"2605.09669","last_updated":"2026-05-10T17:35:18Z","snapshot_observed_at":"2026-07-06T23:21:44.900680Z","submitted_at":"2026-05-10T17:35:18Z","title":"On Enhancing the Dissipative Behavior of Active Flux Advection Schemes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-12T03:59:29.276129Z"},"links":{"cited_paper":"/paper/2506.03291","citing_paper":"/paper/2605.09669"},"observation_digest":"sha256:03a45303dd31fdfca962cb74fc73a2e7185b21e559ef122b16a2642c2547baf9","observation_id":"8fae0152-11e6-4064-ad2c-5554e8d3bf53","resolution":{"observed_at":"2026-07-14T01:20:44.262360Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"cited_work":{"arxiv_id":"2506.03291","doi":"10.48550/arxiv.2506.03291","metadata_source":"arxiv_reference","pith_arxiv_id":"2506.03291","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv preprint (2025) doi: 10.48550/arXiv.2506.03291","venue":"ArXiv.org","work_id":"b5106f53-4dc3-4533-8e2f-171718c9816c","year":2025},"citing_paper":{"arxiv_id":"2606.21303","last_updated":"2026-06-19T10:28:25Z","snapshot_observed_at":"2026-08-07T01:39:17.941622Z","submitted_at":"2026-06-19T10:28:25Z","title":"A fully discrete Active Flux method for the Euler equations comparing different truly multi-dimensional evolution operators","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-26T13:42:42.027742Z"},"links":{"cited_paper":"/paper/2506.03291","citing_paper":"/paper/2606.21303"},"observation_digest":"sha256:83dc4099da8592aa6b97cdf28daec5e3b32a8da4682190e29b8b4d4087ebcedf","observation_id":"4854341e-5747-4a4a-ae8b-5e8a10263254","resolution":{"observed_at":"2026-07-14T01:20:44.262360Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.03291/citation-record","integrity":"/paper/2506.03291/integrity","json":"/paper/2506.03291/citation-record.json","paper":"/paper/2506.03291"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:18.350738Z","title":"Extensions of A ctive F lux to arbitrary order of accuracy","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.350738Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:d6b4c9827d3af2f18cf16b061f4357a9aaa7f0d01893d88244fe0dd00eb00603","observation_id":"2cb4bafd-9554-46c6-995d-3546aad3d0b7","resolution":{"observed_at":"2026-08-07T11:17:18.350738Z","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":"2026-08-07T11:17:18.370438Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.370438Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:ad84bb62dc02b9cdf335ad72e038552481889426cb6b38955f69f4ecb3d93de5","observation_id":"3e19e83f-d851-4ea7-85da-64c402dffb2b","resolution":{"observed_at":"2026-08-07T11:17:18.370438Z","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":"2026-08-07T11:17:18.439862Z","title":"A semi-discrete A ctive F lux method for the E uler equations on C artesian grids","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.439862Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:64c745f2200688b1a9ed3a5dc188bb0f42cabcf8b677c3a25fad4f889b3f07e1","observation_id":"da960dac-aeb5-4bfe-ac3f-68d93a307c86","resolution":{"observed_at":"2026-08-07T11:17:18.439862Z","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":"2026-08-07T11:17:25.333701Z","title":"A new approach for designing well-balanced schemes for the shallow water equations: a combination of conservative and primitive formulations","venue":null,"work_id":"bef4a93d-b369-4222-b52d-8edaffcb10a8","year":2024},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.490436Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:d5a9487e7b86a79e7b22bd9c9934cda0348d653ce21a187c153ed8e940b43fa3","observation_id":"738a8557-1802-4e16-a7aa-80813578e81b","resolution":{"observed_at":"2026-08-07T11:17:25.450438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:18.531022Z","title":"The active flux scheme for nonlinear problems","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.531022Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:740410d3a58aab16fb409cfab2c4f8f4d18e8598aae596eff528283c5b2673a7","observation_id":"fb2400d7-05a1-47de-8779-c8fe30cd8f9b","resolution":{"observed_at":"2026-08-07T11:17:18.531022Z","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":"2026-08-07T11:17:25.200883Z","title":"Truly multi-dimensional all-speed schemes for the euler equations on cartesian grids","venue":null,"work_id":"e58b41db-a723-41ec-9654-dfb0ccdb14af","year":2021},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.592117Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:a14a1bf29ce37fb53b9d497d5fb6dfde146fb9c268c5614aa62bb6f821bcdf82","observation_id":"6ddc8bd9-0c5d-4a55-8308-5867d9a3f039","resolution":{"observed_at":"2026-08-07T11:17:25.251500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:25.086511Z","title":"Implicit active flux methods for linear advection","venue":null,"work_id":"51f0ef6e-b19a-4d9e-9d1a-32abe15aee44","year":2024},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.643211Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:b69473c32c7746d4e90a016b36bdae70c58550d6287ea824bdb721ebf913dbce","observation_id":"6aea47bb-5cf4-4a20-a5c5-83a10245abfc","resolution":{"observed_at":"2026-08-07T11:17:25.131425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.951692Z","title":"A numerical scheme for the compressible low- M ach number regime of ideal fluid dynamics","venue":null,"work_id":"dc8d651d-2375-435c-b587-ad5bc4fb54dc","year":2017},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.686660Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:8fe0c224d0cdcde04d9b10f76d85e3ff8c9f705c20abbde74f29b54aaf19816a","observation_id":"43af5bdb-a94e-4e4b-9fde-abf34d444116","resolution":{"observed_at":"2026-08-07T11:17:25.011637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:18.723199Z","title":"The active flux scheme on C artesian grids and its low M ach number limit","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.723199Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:4192690bf25602fc37b8a11107483b80a875ae9ad1c5e0588af7c5d5546f06ae","observation_id":"64c5a52b-c736-4a4d-b118-bac2c1c2d4cd","resolution":{"observed_at":"2026-08-07T11:17:18.723199Z","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":"2026-08-07T11:17:24.855515Z","title":"Exact solution and a truly multidimensional G odunov scheme for the acoustic equations","venue":null,"work_id":"02e7815a-3540-4b09-853a-37ac7287f724","year":2022},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.773697Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:8cd53bc55b170f371157a488263f7d73b8d4c189b6fb60d6d12a9edb834ba8bd","observation_id":"792b95a7-14f9-436b-b16a-5c3b39ad3421","resolution":{"observed_at":"2026-08-07T11:17:24.896166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03477","last_updated":"2025-06-04T08:19:19Z","snapshot_observed_at":"2026-08-12T20:29:27.908025Z","submitted_at":"2024-12-04T17:07:59Z","title":"Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.03477","snapshot_observed_at":"2026-08-07T11:17:18.814392Z","title":"Analysis of the multi-dimensional semi-discrete A ctive F lux method using the F ourier transform","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.814392Z"},"links":{"cited_paper":"/paper/2412.03477","citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:1f923b3f2ed6658bae234358c0efcf3c05ac520ccb3f51fca8289b48e83c2a16","observation_id":"9ee5164b-3e33-4b23-b3ae-44a933b5e9a0","resolution":{"observed_at":"2026-08-07T11:17:18.814392Z","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":"2026-08-07T11:17:24.734327Z","title":"The C artesian G rid A ctive F lux method: L inear stability and bound preserving limiting","venue":null,"work_id":"bc923a14-ad4c-4cde-96f5-eaeb851ceae1","year":2021},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.856855Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:7c8018a4af0623b37f93ac790ae6fe87c50d131f359674fe8bac242e0d36bc51","observation_id":"c40abde1-fe00-4497-b67c-56d97455600b","resolution":{"observed_at":"2026-08-07T11:17:24.772168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:18.922575Z","title":"Active F lux methods for hyperbolic systems using the method of bicharacteristics","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.922575Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:33cb002793813aac64d73a26c8d18ba0499d5c16dcaa7686b6be648a8677a355","observation_id":"04ca6a08-8fdd-44fd-b7a4-9f9cdd18b111","resolution":{"observed_at":"2026-08-07T11:17:18.922575Z","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":"2026-08-07T11:17:18.965163Z","title":"Active F lux methods for hyperbolic conservation laws— F lux V ector splitting and bound-preservation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:18.965163Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:0f01e8f8d599cb4d371904b61650d9269627331c7082a8a0acdf27ad90d18275","observation_id":"b970fe5f-7a42-4626-957c-e3a99831f317","resolution":{"observed_at":"2026-08-07T11:17:18.965163Z","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":"2026-08-07T11:17:24.636709Z","title":"Analysis of G odunov type schemes applied to the compressible E uler system at low M ach number","venue":null,"work_id":"c7912eb2-4edf-4f1d-afa2-bdfbaaf5e897","year":2010},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.022515Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:2b39875d5c85fcbe96e8c948898fc8a5aa62a21f7b2b051d11ccb794ee22c2ac","observation_id":"be22759b-8840-4d8b-bdd1-9ed29ca3bfcf","resolution":{"observed_at":"2026-08-07T11:17:24.678845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.545118Z","title":"Active flux schemes","venue":null,"work_id":"948a28b1-a7d8-4c71-952b-bc17755b5b45","year":2011},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.059054Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:95048635ba315481d922c2d174b5663a6763e72ee68b686e60baa7899db92d27","observation_id":"2c9e4854-c318-4731-bc12-753aa4ec09c6","resolution":{"observed_at":"2026-08-07T11:17:24.600362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.439211Z","title":"Active flux schemes for systems","venue":null,"work_id":"0ad3f3ab-b39e-4876-a251-d19499765b88","year":2011},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.101211Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:2c9c994ba9ef9fb41a4d80031807b83759dd57956444b3bf5e27feb559c7d8cc","observation_id":"6cdf8fb8-9085-4785-9552-9af657699f18","resolution":{"observed_at":"2026-08-07T11:17:24.475986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:19.145071Z","title":"Multidimensional active flux schemes","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.145071Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:f2abb30506a233a25be4056ecb64e2adf3a96be9e4d2548d9f95df79955486b5","observation_id":"a5e1c5b7-fffe-4033-91a4-d9b35464a231","resolution":{"observed_at":"2026-08-07T11:17:19.145071Z","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":"2026-08-07T11:17:24.369587Z","title":"On the acoustic component of active flux schemes for nonlinear hyperbolic conservation laws","venue":null,"work_id":"4051b344-6d36-42bc-8f37-0006542972a6","year":2017},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.196232Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:726d3e468f517da715a8e9e6a039b36e32ad834c2907853dc3b14455d514c24e","observation_id":"fb48ca67-7f99-493d-8760-9db251893874","resolution":{"observed_at":"2026-08-07T11:17:24.396318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:19.247407Z","title":"Investigations of a new scheme for wave propagation","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.247407Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:6eb1d6561a7ab4218b495f437d8cb588119210e6ea8b2a55e4347a6c33ded154","observation_id":"47be1b64-c551-4e74-b7af-80ba71614242","resolution":{"observed_at":"2026-08-07T11:17:19.247407Z","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":"2026-08-07T11:17:24.264145Z","title":"Invariant domains and first-order continuous finite element approximation for hyperbolic systems","venue":null,"work_id":"09de81ca-95dd-4cbd-b287-80447b69ab12","year":2016},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.286164Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:2e96fc1910dc82fa4b126079806df36faaa6884db776d32f7aecebc66f9685db","observation_id":"f4d7407d-d504-489b-81ea-8c3066132cda","resolution":{"observed_at":"2026-08-07T11:17:24.319597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.186178Z","title":"Tablitsy integralov, summ, ryadov i proyavleniy.—izd","venue":null,"work_id":"a2cc529d-2f7b-460a-a01f-ffcad537b76a","year":1963},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.331845Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:b71e23cd2253fb25d450abe8dd77c7f3be8e3374b0c1e14c2a10df1f97cab2bf","observation_id":"66b13b0e-f8a8-4b2b-bfb7-b01e6570f80d","resolution":{"observed_at":"2026-08-07T11:17:24.221718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.103957Z","title":"On the behaviour of upwind schemes in the low M ach number limit","venue":null,"work_id":"22c76bfc-32ea-4c9e-8474-5ea63ac5c8d7","year":1999},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.381358Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:e3e9ca01d66c2afa1a072b6fbf0582a559f95a3c5522aa5a06e33028f0d35c91","observation_id":"340333da-5a22-460d-95a5-63a9e359a94e","resolution":{"observed_at":"2026-08-07T11:17:24.144610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:24.024825Z","title":"Monolithic convex limiting in discontinuous galerkin discretizations of hyperbolic conservation laws","venue":null,"work_id":"702aba9b-1300-4bfd-8ccf-7ff41d12a8f0","year":2021},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.422105Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:b89903ea70fc486f42bf7609fda66457391a416473d89bd27fff705df3f17b13","observation_id":"a4f06f37-8747-4870-83d3-9f56c8267e64","resolution":{"observed_at":"2026-08-07T11:17:24.067130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:19.472633Z","title":"A new ADER method inspired by the active flux method","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.472633Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:4348c936fd43b054528666a8b7a7f06097738494709d9a4de77c43134e5301ef","observation_id":"872ab298-8add-4ea8-ba56-cd4544682ded","resolution":{"observed_at":"2026-08-07T11:17:19.472633Z","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":"2026-08-07T11:17:23.891394Z","title":"Weighted essentially non-oscillatory schemes on triangular meshes","venue":null,"work_id":"e120d4a7-45de-49c6-8dd3-f44dad4678c7","year":1999},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.511789Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:e0bb885574c9917b3b617fdd243a22c4776db3e37bad1c12b127b0a34b5533bf","observation_id":"4df31fc8-dc8d-45d1-b6d8-819cb0943693","resolution":{"observed_at":"2026-08-07T11:17:23.983646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:23.726988Z","title":"Efficient implementation of weighted ENO schemes","venue":null,"work_id":"b30d42c0-d803-423a-b36c-b6092066677d","year":1996},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.569893Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:f34bcac9bae4659de19dfce438951287e1a4b0aeb0559acf0d81be6862f89cc6","observation_id":"f54fc5b8-0ed2-41d0-b336-6ca777363244","resolution":{"observed_at":"2026-08-07T11:17:23.800470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:23.490020Z","title":"Flux- Corrected Transport : Principles , Algorithms , and Applications","venue":null,"work_id":"84e36c0f-1d59-4db9-99ad-01bb9f78a981","year":2012},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.624048Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:6ce3e61b35794236ec463d7e5ba82556c2278ce11ce6cb3b558daefbb860bdee","observation_id":"21bf5ba1-9e7d-4083-a5e2-d674578f9f4f","resolution":{"observed_at":"2026-08-07T11:17:23.605906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:23.161737Z","title":"Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws","venue":null,"work_id":"d7580785-43d1-4dbc-9801-519d6e4563f1","year":2020},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.769305Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:baedfe406a870462d0cfc06cc3a4724d5885b15c7e687925a459ee81905c148a","observation_id":"58566f1a-d47b-433f-a829-668573b0c4c3","resolution":{"observed_at":"2026-08-07T11:17:23.319654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:22.800543Z","title":"Performance of high-order godunov-type methods in simulations of astrophysical low mach number flows","venue":null,"work_id":"ff894f8e-a79e-481c-8a08-d2271f59b5a9","year":2024},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:19.908609Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:44160c787922633c94b732d90e3381309adfd811955b9061e87626d7c03f5fa8","observation_id":"ffacd8b7-5518-40e3-95e5-aa28187ec7bd","resolution":{"observed_at":"2026-08-07T11:17:23.022351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:22.565241Z","title":"Finite volume methods for hyperbolic problems , volume 31","venue":null,"work_id":"9fc613a7-caa1-4db3-9d7a-7a3bea1bbba4","year":2002},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.001470Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:60af0ad2175b617bbcf5753c02b0d970c526442255906a2a58aedbec88140b2f","observation_id":"bf3cfae3-32d7-4a08-9e6d-b14989ee2a1c","resolution":{"observed_at":"2026-08-07T11:17:22.670110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:22.301124Z","title":"Solution of two-dimensional riemann problems of gas dynamics by positive schemes","venue":null,"work_id":"c5f0a31b-33a2-4cec-8135-db8db9d496df","year":1998},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.106345Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:f2d8f08a0f2009be3c7b4c92bbfb8fe248206970a44364bb4fcd1c574257583f","observation_id":"60c90c82-e1ab-41ae-bfe6-32fffb3dbe9e","resolution":{"observed_at":"2026-08-07T11:17:22.418046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:22.058313Z","title":"On the advective component of active flux schemes for nonlinear hyperbolic conservation laws","venue":null,"work_id":"7b293291-c7bb-47d9-9a0f-b05a19daa64e","year":2017},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.184432Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:b775a4ac90fd6e877a99c76ed441bb79e5a272ec60e98931847572771a961584","observation_id":"75b5f482-4a0c-4d1d-b40b-b8f38d2f60e2","resolution":{"observed_at":"2026-08-07T11:17:22.178254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.801766Z","title":"The extension of incompressible flow solvers to the weakly compressible regime","venue":null,"work_id":"d2966649-ed12-41ce-858b-47f39d84c5cb","year":2003},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.257387Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:309bb18df4ebe0f369ae8768f3d60972aeb1a17655c7875bb5c7df8e453fd340","observation_id":"f2d8863e-9275-4568-8720-641f96202a1a","resolution":{"observed_at":"2026-08-07T11:17:21.885311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.677029Z","title":"High-order discontinuous G alerkin methods for CFD","venue":null,"work_id":"c019ef54-cb35-4f7f-ba7d-417137bc1693","year":2011},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.353631Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:dc249c0175bd9ac52bdc5fd27bc6754ae9505c1f73a3f3bf366b5d174e62b776","observation_id":"5ab30ed5-5a6e-4b22-989e-0c25855a9719","resolution":{"observed_at":"2026-08-07T11:17:21.752759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.591418Z","title":"On positivity preserving finite volume schemes for euler equations","venue":null,"work_id":"256ce219-bbec-419c-8511-0e633bfe8d4c","year":1996},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.444812Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:10264f0e0f6328a526f4ff1f6fdcdb4b409f9699bc0f67ea904752fa49e4b419","observation_id":"0b2aa7eb-1769-464f-9134-726c57c5fec3","resolution":{"observed_at":"2026-08-07T11:17:21.631836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.464167Z","title":"Comparing active flux and D iscontinuous G alerkin methods for compressible flow","venue":null,"work_id":"256a2fcb-16a9-4a1d-9e67-9fdacc8e7a91","year":2018},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.535774Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:d27928a6fc58f476ee48a502c3bafdc59e34e6cffe7976cdfeb9391ac4804811","observation_id":"f9dbc06b-536c-4734-90c9-0f1956e98ef0","resolution":{"observed_at":"2026-08-07T11:17:21.545823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.352573Z","title":"Multidimensional upwinding","venue":null,"work_id":"296db436-e729-4a1f-bc05-22516b6ce049","year":2017},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.649307Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:95daf1ab16e3af3c499af83012cc70aa527d7547a4def7879acd5fe9cf292d24","observation_id":"7ed9b8e9-fbe4-46f6-9cdf-177dc69e1259","resolution":{"observed_at":"2026-08-07T11:17:21.405906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.198434Z","title":"Designing CFD methods for bandwidth—a physical approach","venue":null,"work_id":"e866aadf-e5d4-4fb1-8882-bd8c63002e56","year":2021},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.746580Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:66751bf5e639b249e06edaf707279838c5a4c77de7c02b306ce9bb58bc2ccda8","observation_id":"5e861849-73b8-40bf-8e24-af24fd7eaa9c","resolution":{"observed_at":"2026-08-07T11:17:21.271921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:21.057706Z","title":"A posteriori correction of high-order discontinuous galerkin scheme through subcell finite volume formulation and flux reconstruction","venue":null,"work_id":"08feaf93-e0ea-4dda-a41c-b8aa00a35d74","year":2019},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.859942Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:e3736ecd186b635ae83705ec155c316d42cf4d2ac0c79bb9b54b0e1e82d95805","observation_id":"9fc71fb2-d832-43dd-9a39-d9903c06dd40","resolution":{"observed_at":"2026-08-07T11:17:21.159784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:17:20.927912Z","title":"Towards the ultimate conservative difference scheme","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T11:17:20.927912Z"},"links":{"citing_paper":"/paper/2506.03291"},"observation_digest":"sha256:62efc9122bc5c0ef4f922da29158087697f442ca8f270e502ccf6b2b1c9f14cb","observation_id":"966d4349-d343-48da-895f-ae86dc5bd493","resolution":{"observed_at":"2026-08-07T11:17:20.927912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.03291","last_updated":"2026-07-11T15:17:23Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-08T03:20:23.488130Z","submitted_at":"2025-06-03T18:30:26Z","title":"An Active Flux method for the Euler equations based on the exact acoustic evolution operator"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":29},"total_outbound_references":41},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2506.03291."}