{"as_of":"2026-08-14T00:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c650a62301f00a32db1344c9c1ef98cda0adf241991074c93f2d6f6edad0c039","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:09:17.874563Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-18T09:44:41.749680Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-18T09:46:12.561879Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"cited_work":{"arxiv_id":"2507.14524","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.14524","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"07f484f7-882d-4c8e-8023-d29bd73fcac5","year":null},"citing_paper":{"arxiv_id":"2510.06620","last_updated":"2025-10-08T04:00:33Z","snapshot_observed_at":"2026-08-11T13:07:34.422880Z","submitted_at":"2025-10-08T04:00:33Z","title":"Ultra-chaotic property of Navier-Stokes turbulence","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-18T09:44:41.749680Z"},"links":{"cited_paper":"/paper/2507.14524","citing_paper":"/paper/2510.06620"},"observation_digest":"sha256:f2cbd71f77ea769f06a667848304207ef5b86239eab756b78f318bb8daef99ce","observation_id":"4459c5c3-37eb-4520-96f9-9ed0f7599f3c","resolution":{"observed_at":"2026-05-18T09:46:12.564574Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.14524/citation-record","integrity":"/paper/2507.14524/integrity","json":"/paper/2507.14524/citation-record.json","paper":"/paper/2507.14524"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:09:19.369438Z","title":"Large eddy simulations of transitional round jets: influence of the reynolds number on flow development and energy dissipation","venue":null,"work_id":"ecfda5c7-2d01-4ab9-b5ac-53bdfef0765f","year":2006},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.001994Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:0962d72ba2d5a85f018f62a30b4a17be6fc73b7d063b2a640f149786a467c24f","observation_id":"2a1e412d-badd-4536-ab66-6aee7bc74b4f","resolution":{"observed_at":"2026-08-06T16:09:19.373861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.354194Z","title":"Noise investigation of a high subsonic, moderate reynolds number jet using a compressible large eddy simulation","venue":null,"work_id":"606ebd78-d02b-44bd-b62d-c4ddb7286db4","year":2003},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.054756Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:093a81b8bf1f18f0e85a5346a37a67f3b3d90e51ff88e59cd342ecf21604f177","observation_id":"142a275d-eca7-4751-8692-06be051defc1","resolution":{"observed_at":"2026-08-06T16:09:19.359126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.338419Z","title":"Modeling of aerosol formation in a turbulent jet with the transported population balance equation-probability density function approach","venue":null,"work_id":"6aad680c-1b42-41dc-bcfd-26329e76c53b","year":2011},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.157577Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:a82e7065a0f5b2efeb01f548d76a4f67f2452448defa707e12a2553cd6960c68","observation_id":"f4447f9d-3936-4c12-8b83-73eb0575e411","resolution":{"observed_at":"2026-08-06T16:09:19.343653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.322070Z","title":"External intermittency simulation in turbulent round jets","venue":null,"work_id":"bfd46bb3-07fd-49a6-935e-3b5a35857d82","year":2012},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.210051Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:943dbe41a8ad4f376e51d6b25ef012b964cb5b61e5d0e9a20d61d4caf7600ed8","observation_id":"93777219-1254-4e4f-8311-999e88c9a86f","resolution":{"observed_at":"2026-08-06T16:09:19.327223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.306716Z","title":"Numerical simulation of forced circular jets: effect of flapping perturbation","venue":null,"work_id":"bcecdad8-bb10-44ed-8b88-82351e1ccb51","year":2019},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.219259Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:72bc4ee7226b6cec93701eed34e36407ebf8e1c41771174a13ced1d404ad6c9c","observation_id":"6cae7eb4-504e-45b9-a7e9-741c0476f6c6","resolution":{"observed_at":"2026-08-06T16:09:19.311822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.289402Z","title":"Simulation of the blooming phenomenon in forced circular jets","venue":null,"work_id":"bdf5dfc0-50da-4ef1-91cf-cd0ccdcb5f48","year":2015},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.400051Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:42bb10b56faccd5d0770767ec3ebaeec87b016ef9fef31ef54b3579b907d8e52","observation_id":"edc4e4e9-97d3-4dcf-a426-b2f52c14e7c2","resolution":{"observed_at":"2026-08-06T16:09:19.296282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.274593Z","title":"Velocity measurements in a high-Reynolds- number, momentum-conserving, axisymmetric, turbulent jet","venue":null,"work_id":"ca8babfa-5429-4292-b5e5-caa7c5f92e38","year":1994},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.568186Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:087022f3a8742cc9107d29e91b073e350f4f3adfe67ada7ea4792fcbc449ac98","observation_id":"8b4f6d33-8214-498b-9a39-8cf66a115b51","resolution":{"observed_at":"2026-08-06T16:09:19.279218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.258560Z","title":"Performance Enhancement for High-order Gas-kinetic Scheme Based on WENO- adaptive-order Reconstruction","venue":null,"work_id":"e116a1c7-4ca2-4ca8-b47f-61b959e5eabf","year":2020},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.684257Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:337cc9f71c8cdecc0ce5710b79a5d7cefafc94d289175d14adb4d8fe3145ddb2","observation_id":"5463e604-b714-47e5-a8da-6943629f74c5","resolution":{"observed_at":"2026-08-06T16:09:19.263644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.241053Z","title":"Experimental and computational study of a high-reynolds jet flow","venue":null,"work_id":"930e50a8-0943-443c-81ef-c4a944ebc84a","year":2017},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.837599Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:e27bed61148b8910165c5d68cc45e671a0745dabfaf1c749a30c4dec643c460a","observation_id":"e4c9a7c5-28a8-4c6c-a9fb-0a281ee0a13d","resolution":{"observed_at":"2026-08-06T16:09:19.247294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.223203Z","title":"A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations","venue":null,"work_id":"a07179c1-b117-49e9-b6fc-993dfe5e2216","year":2003},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:14.991420Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:c5f00d9233b637f0af1d3706aed5de068d195b9cf096162a3e206846b457f109","observation_id":"7d2e279c-4caf-46c5-a7f3-0c337f622bc5","resolution":{"observed_at":"2026-08-06T16:09:19.229045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.205261Z","title":"Development of turbulence in subsonic sub- merged jets","venue":null,"work_id":"66d95ef5-13ba-45e5-9d5a-9574e1cbf12c","year":2004},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.143891Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:19d929537af9034dde1f6a5e4f29fc268d98874a82349e2d406688e0ab5b7304","observation_id":"9eb1906b-8e31-4388-9021-1c4911a212a7","resolution":{"observed_at":"2026-08-06T16:09:19.210678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.188742Z","title":"An implicit unified gas-kinetic wave– particle method for radiative transport process","venue":null,"work_id":"3fa7691e-4957-4d37-b99e-46b435ec45ec","year":2023},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.238409Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:3f80ef04ee31a9f3e45943a88f726449e5bcc26f2e44e32e246c1f5363e3638c","observation_id":"8e36252a-2cf2-4a38-9435-3a91cfbfd7c0","resolution":{"observed_at":"2026-08-06T16:09:19.193963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.172491Z","title":"Unified gas-kinetic wave-particle methods I: Continuum and rarefied gas flow","venue":null,"work_id":"cdcf0680-787c-43bd-9014-f35688c7cc06","year":2020},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.314056Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:9980cbb7816d2543dee355cc93fbe4ba4312820368e1d830c8ffbda40e49578d","observation_id":"e22421ba-a187-40c2-b637-6c8c621f8bb0","resolution":{"observed_at":"2026-08-06T16:09:19.177867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.155995Z","title":"An implicit adaptive unified gas-kinetic scheme for steady-state solutions of nonequilibrium flows","venue":null,"work_id":"7bc197d8-8d2e-4344-b80d-5d5493aea060","year":2024},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.400689Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:5528eda8dd095045d51c89160b0f00aa9fc5649be8bdd0b5fc857122e3838cb9","observation_id":"696ae914-2f3f-44d9-b6d8-47bc96292bc6","resolution":{"observed_at":"2026-08-06T16:09:19.161347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.138566Z","title":"Analysis of a turbulent round jet based on direct numerical simulation data at large box and high reynolds number","venue":null,"work_id":"0670d765-aadd-42c9-af53-5c1a138400be","year":2024},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.504513Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:b5f6392ad6fd6f890cb12a7fb334f1e14fc7c02da62185dc01e9c3bcabcbe844","observation_id":"8f15925a-93f5-4640-8c68-1dbb0881707b","resolution":{"observed_at":"2026-08-06T16:09:19.143774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.120390Z","title":"Turbulence measurements in axisymmetric jets of air and helium","venue":null,"work_id":"ab69d2de-ff4b-4086-9d72-2f366a62baef","year":1993},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.605615Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:225f81724165406afff927e73e3bb941dfe005b2c21dadec7438533f0b7ae9f9","observation_id":"dfd355c8-f72e-4def-9aa9-5a883ca86487","resolution":{"observed_at":"2026-08-06T16:09:19.125996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.101897Z","title":"Unified gas-kinetic wave-particle method for multiscale flow simulation of partially ionized plasma","venue":null,"work_id":"4bcc42ef-bed6-46dd-9dbd-ab81cde14cbf","year":2025},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.699748Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:71f82ff64e031020f2af6efe30028748904b5411ebb271b3611dfc5b07428fcb","observation_id":"3b4d6216-64d2-4f5e-a54e-b69241d5f882","resolution":{"observed_at":"2026-08-06T16:09:19.108289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.085306Z","title":"Investigation of high-pressure turbulent jets using direct numerical simulation","venue":null,"work_id":"c198157f-565f-4aa0-960a-11619184c87a","year":2021},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.772155Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:c7de2aef13c76be2e778338d0f08a553c268135ca7b9af605ee6c325f06e6618","observation_id":"f7c9bf16-d037-4ae3-a253-5fd261764582","resolution":{"observed_at":"2026-08-06T16:09:19.090529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.069481Z","title":"Numerical simulation of three-dimensional circular free turbulent jet flow using different Reynolds average Navier-Stokes turbulence models","venue":null,"work_id":"9ff9cef8-6f61-4ae3-9212-6fd62bd56c6c","year":2023},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:15.889806Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:fa1247504c88e85d4295205f1f32a31a7a2e8996c6ffba74e914a79cf30dd848","observation_id":"ce7053a2-2a5e-45a1-a0a1-3ddf1f34e3ea","resolution":{"observed_at":"2026-08-06T16:09:19.074720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.052190Z","title":"Features of far-downstream asymptotic velocity fluctuations in a round jet: A one-dimensional turbulence study","venue":null,"work_id":"8f90710b-1ceb-403d-a5f0-2a8b4de3e3d6","year":2022},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.027947Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:70deb77a974066123e82c17128f66b85936aee9e4a24b5ebf53a7b7e0f0645d2","observation_id":"323ddfce-9acb-4e60-9b44-738099f39c43","resolution":{"observed_at":"2026-08-06T16:09:19.057701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.035246Z","title":"Self-similarity of fluid residence time statistics in a turbulent round jet","venue":null,"work_id":"3cb4192a-cdb6-4200-ae44-87747bf17777","year":2017},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.127205Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:34a4cb92ac5811b438734b866565ef0922078782b375e3589ac1a6b03a1074cf","observation_id":"6f94807e-eddf-4316-9666-9f9d2808b881","resolution":{"observed_at":"2026-08-06T16:09:19.040405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.016447Z","title":"A direct numerical simulation study of higher order statistics in a turbulent round jet","venue":null,"work_id":"54d2632f-5460-46e4-b733-d15fb8347a41","year":2013},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.237212Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:624b938502fbb0b78307597f26359e9833c26ca91ddb685a75728003f96b0737","observation_id":"e597c33f-305e-43ae-9334-9ec675cb25d3","resolution":{"observed_at":"2026-08-06T16:09:19.022278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:19.000906Z","title":"Calibration of the reynolds stress model for turbulent round free jets based on jet half-width","venue":null,"work_id":"c6bc4d15-be34-435c-b44e-7761780b6dd5","year":2024},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.325861Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:51dfcb01f57ff8af87649feeb1e3de9136dc795d4f1badbe29d802a162e9376f","observation_id":"33edcbf9-6d2f-4820-b460-b9443cbd0bc5","resolution":{"observed_at":"2026-08-06T16:09:19.005825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.03140","last_updated":"2017-11-05T11:10:36Z","snapshot_observed_at":"2026-08-10T01:37:17.170370Z","submitted_at":"2017-08-10T09:36:18Z","title":"Reynolds number effects on transition, turbulence intensity and axial-velocity decay rate of turbulent round jets","version":2},"cited_work":{"arxiv_id":"1708.03140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1708.03140","snapshot_observed_at":"2026-08-06T16:09:17.985232Z","title":"Reynolds number effects on transition, turbulence intensity and axial-velocity decay rate of turbulent round jets","venue":"physics.flu-dyn","work_id":"dc0c2be3-78f5-4ccc-87be-4dc9a563610f","year":2017},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.364953Z"},"links":{"cited_paper":"/paper/1708.03140","citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:33639c48f66655331437e0644a3be6fbf77ba5b2e105894154bf2d73410644e2","observation_id":"0b0eda82-0a0d-4a1c-a6df-ddabe5c70c28","resolution":{"observed_at":"2026-08-06T16:09:18.041692Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.985150Z","title":"Large eddy simulation of flow development and noise generation of free and swirling jets","venue":null,"work_id":"ce8c4592-e3e1-48e8-aeea-f968cbac6efa","year":2013},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.492427Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:a244d26eea38f1002b8ea9e35873b8e6943e5ba9545d877464fed9f3bf843e00","observation_id":"70356417-e754-4113-957d-103ae733ba41","resolution":{"observed_at":"2026-08-06T16:09:18.989998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.969055Z","title":"Direct numerical simulation of subsonic round turbulent jet","venue":null,"work_id":"bda13ee4-8660-4683-8cee-a541230656f9","year":2010},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.698742Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:dae19d89274b3369d01a224ae9c0bdb1ad38dda69723c9bedcd3ce696fb2ae01","observation_id":"b3587015-c118-4bbf-a1a6-9b99c498753d","resolution":{"observed_at":"2026-08-06T16:09:18.974333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.953809Z","title":"Adaptive wave-particle decomposition in ugkwp method for high-speed flow simulations","venue":null,"work_id":"3628b2a9-9fb2-4ea0-b913-02c7a80d14b5","year":2023},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.827868Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:93330d15350291db0d1e88396aa0f74db93328be4b9b7351aea2708fa12aa360","observation_id":"898e22fc-f850-48ec-9780-6d681e8b16de","resolution":{"observed_at":"2026-08-06T16:09:18.959082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.938020Z","title":"A gas-kinetic BGK scheme for the Navier–Stokes equations and its connection with artificial dissipation and Godunov method","venue":null,"work_id":"236d4883-25af-45f9-b09d-d5ff45edec62","year":2001},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:16.931621Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:096f26fc0b71518511af4bf777350294ca37e6998eaaa4452a93af48b08b4305","observation_id":"1336e4ea-3844-4f6d-82f5-7d92704ca89e","resolution":{"observed_at":"2026-08-06T16:09:18.942920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.921264Z","title":"Direct modeling for computational fluid dynamics: construction and application of unified gas-kinetic schemes , volume 4","venue":null,"work_id":"0e856d5c-1bbf-4a87-b5e5-802f86c93eac","year":2014},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.042566Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:04810505c075b9e1866589905e62a3f4a45a8dd4f108f35d8f85b0e8d7bae988","observation_id":"8a84dd43-b2a8-427b-b867-a26994dcf0ca","resolution":{"observed_at":"2026-08-06T16:09:18.926822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.905694Z","title":"A unified computational fluid dynamics framework from rarefied to continuum regimes","venue":null,"work_id":"f29a18b1-4959-42a1-9433-ea448cf047d9","year":2021},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.138622Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:aa66fcc3f90972c7acae630e7ee693d6e1f7466960b9226f105c8ac2b105a4d5","observation_id":"c799d469-614d-4f58-a617-9cf4d176181a","resolution":{"observed_at":"2026-08-06T16:09:18.910284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.888966Z","title":"A unified gas-kinetic scheme for continuum and rarefied flows","venue":null,"work_id":"a391e992-f4f9-4cfc-9a8b-f5da492b1c89","year":2010},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.253440Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:58ca64480b457ce1a811f0877559f9f9d3f68fd31d50185ea0d4f3167d097c62","observation_id":"7f478b3b-7fb8-4b38-a076-a0877a2b0de8","resolution":{"observed_at":"2026-08-06T16:09:18.893887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.866146Z","title":"Modeling and computation for non-equilibrium gas dynamics: Beyond single relaxation time kinetic models","venue":null,"work_id":"76f8bd29-be52-43f6-910c-801c143de0af","year":2021},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.380035Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:ab689b8833304e430b03e040f6f9c91a27fe4a363872596c7233ebd64d374486","observation_id":"71d2d6f2-4e0d-4c77-948c-d085b72e5d48","resolution":{"observed_at":"2026-08-06T16:09:18.877445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.786239Z","title":"Comparison of the performance of high-order schemes based on the gas-kinetic and HLLC fluxes","venue":null,"work_id":"e53fa34a-acb5-41ea-b36c-026f9f97764d","year":2022},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.505016Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:7c9ffb257877767fbf05bd06aa31d8cff1e48480460f2263ed2c90e36b2c1137","observation_id":"cab7a073-52a5-4bd5-88de-26082e1f9f12","resolution":{"observed_at":"2026-08-06T16:09:18.817254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.679671Z","title":"Unified gas-kinetic wave–particle method for polydisperse gas–solid particle multiphase flow","venue":null,"work_id":"c4c07018-e189-41a7-a603-21fc3a48ea56","year":2024},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.618264Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:13371ea49514f0a9630dd7134b06edc81c7fa36b42196c92b5af4f17ea5dac36","observation_id":"f0a0c0c2-110a-43fe-9563-27dafb3cccad","resolution":{"observed_at":"2026-08-06T16:09:18.727985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.07207","last_updated":"2025-03-10T11:47:01Z","snapshot_observed_at":"2026-08-13T13:41:45.408357Z","submitted_at":"2025-03-10T11:47:01Z","title":"Wave-Particle Based Multiscale Modeling and Simulation of Non-equilibrium Turbulent Flows","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07207","snapshot_observed_at":"2026-08-06T16:09:17.628339Z","title":"Wave-particle based multiscale modeling and simulation of non-equilibrium turbulent flows","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.628339Z"},"links":{"cited_paper":"/paper/2503.07207","citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:3e0b8ebfc81cc4529f7544d963ab4377b5841fcd6dde934c07775128caab9c73","observation_id":"26f65b43-a1cd-4ac1-a7e8-0d329edec261","resolution":{"observed_at":"2026-08-06T16:09:17.628339Z","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":"2026-08-06T16:09:18.526557Z","title":"Space-time correlations of velocity in a Mach 0.9 turbulent round jet","venue":null,"work_id":"8f76f7f2-8361-4ba7-881e-17d1b8a48c1d","year":2019},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.634059Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:6e565484a5dac55ac71a12e71ba24dd9b037357173ef76b8b62455687c4389f0","observation_id":"b415ffd8-19ed-427c-9128-7bb43b7ada5d","resolution":{"observed_at":"2026-08-06T16:09:18.602109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.364286Z","title":"Enhanced delayed detached-eddy simulation with anisotropic minimum dissipation subgrid length scale","venue":null,"work_id":"7cba42ce-1051-4850-a618-dbd75d659364","year":2025},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.686452Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:c92ef02ccfbe32e6afc57b7d6f78f28788b5a4a3e0c3b668cf5ff596a8ed6d82","observation_id":"76f695bb-6103-4bb4-952a-4244b2bf3b18","resolution":{"observed_at":"2026-08-06T16:09:18.437431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.208087Z","title":"Unified gas-kinetic wave-particle methods II","venue":null,"work_id":"8a573cd0-93e9-4aa7-abdc-6c8547cd29b2","year":2019},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.750516Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:660d6f2bc63471044ff09ff46cdb94f3d8e1838ceeca4e9a5a5f97738c199cce","observation_id":"0a7c2059-3d4b-4061-944b-d7368676851c","resolution":{"observed_at":"2026-08-06T16:09:18.269743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:09:18.154962Z","title":"Unified gas-kinetic scheme with multigrid convergence for rarefied flow study","venue":null,"work_id":"af09168e-7962-4042-9795-c903eb0bfffd","year":2017},"citing_paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:17.874563Z"},"links":{"citing_paper":"/paper/2507.14524"},"observation_digest":"sha256:7f6ab580cab75a939c717ab83ddcbbedf0667f30c60bc43c53b98c900f1fcd8b","observation_id":"ab2e6102-0830-457c-a331-4a3d85ef86f4","resolution":{"observed_at":"2026-08-06T16:09:18.159720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.14524","last_updated":"2025-07-19T08:00:51Z","latest_version":1,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-09T12:34:33.284654Z","submitted_at":"2025-07-19T08:00:51Z","title":"Wave-Particle Turbulence Simulation of Spatially Developing Round Jets: Turbulent Flow Modeling and Method Validation"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":37},"total_outbound_references":39},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2507.14524."}