{"as_of":"2026-08-18T19:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c9e3c2acb6753bf234f258a1c52d99f70d1b8155513a9b8dbebaa7178831f241","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":"2026-08-15T20:22:54.032459Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.13374/citation-record","integrity":"/paper/2505.13374/integrity","json":"/paper/2505.13374/citation-record.json","paper":"/paper/2505.13374"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2008251","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.279779Z","title":"Tadmor, The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws","venue":null,"work_id":"471d2f10-526e-4790-9067-291f56968259","year":1987},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.867029Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:234f2d56cb15cb5b3c9afde019ccefe860d0fbad27e5ccf79cc5bd3bfd92e204","observation_id":"3eeb1116-a2eb-4772-90ce-7eae20be385e","resolution":{"observed_at":"2026-08-15T20:22:54.283804Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.871340Z","title":"Tadmor, Entropy stability theory for difference approximations of nonlinear conservation laws and re- lated time-dependent problems, Acta Numerica 12 (2003) 451–512","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.871340Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:e826ab0cdef1df805065ea509933f74a197202cbfa0b39ac604b9446555d6515","observation_id":"bcc78bc1-8ab9-489f-b8aa-a738870b10bb","resolution":{"observed_at":"2026-08-15T20:22:53.871340Z","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":"2026-08-15T20:22:53.875439Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.875439Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:fa56fad8ee621f278b8c4f1dd8f2660ac1dabab80e33924043cec0605add1556","observation_id":"f84e6b96-7cb4-473d-b533-7feb4ec0596f","resolution":{"observed_at":"2026-08-15T20:22:53.875439Z","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":"2026-08-15T20:22:54.910152Z","title":"URL https://scholar.google.co.in/citations?view_op=view_citation&hl=en&user= 4fNzp4oAAAAJ&cstart=20&pagesize=80&citation_for_view=4fNzp4oAAAAJ:Tiz5es2fbqcC 30","venue":null,"work_id":"d00a622a-46d7-4c1d-bb90-a9c52ef30d49","year":2006},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.879205Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:7f3ee4dfcb2de61e235ea80260a610d972b6a9a7ab7a0c6a472be9e10c43c421","observation_id":"b44ecd0c-f074-4561-9c38-327d3256e9a9","resolution":{"observed_at":"2026-08-15T20:22:54.914699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1701.02264","last_updated":"2017-11-21T16:52:36Z","snapshot_observed_at":"2026-08-14T21:21:59.339868Z","submitted_at":"2017-01-09T17:19:06Z","title":"Comparison of some Entropy Conservative Numerical Fluxes for the Euler Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.02264","snapshot_observed_at":"2026-08-15T20:22:53.882897Z","title":"Ranocha, Comparison of some Entropy Conservative Numerical Fluxes for the Euler Equations, Journal of Scientific Computing 76 (1) (2018) 216–242, arXiv:1701.02264 [math]","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.882897Z"},"links":{"cited_paper":"/paper/1701.02264","citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:ca1a3f7450667b8f0105c2a69a37a6d056cb0f17dfe4a599d23c8da4c8e86dec","observation_id":"6476c244-db3b-4fe7-a6e7-65a6f986c711","resolution":{"observed_at":"2026-08-15T20:22:53.882897Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s0036142998345256","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.255436Z","title":null,"venue":null,"work_id":"0b03156a-b0b4-45c3-bb17-d8ad37f2829e","year":2000},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.886991Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:8295f55806c169503c4c3c42c6355694a9b3678ae341d39abe7daafb4400931c","observation_id":"67709454-ab08-485d-8792-a340e7a108bc","resolution":{"observed_at":"2026-08-15T20:22:54.259587Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.891002Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.891002Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:5aa5bdbeefeca6201c8ce3bca182032e4c84669db62a28f349739557b8f81bbd","observation_id":"75affa78-4c7b-4014-9a8c-04687ce5654a","resolution":{"observed_at":"2026-08-15T20:22:53.891002Z","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":"2026-08-15T20:22:53.894521Z","title":"Pirozzoli, Numerical Methods for High-Speed Flows, Annual Review of Fluid Mechanics 43 (1) (2011) 163–194","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.894521Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:f7bfb8e51cc647ccd27f1964cf114fa27872f1f3703cc8cf70b6ec4ea71b82a8","observation_id":"ab3e8da4-afb6-474b-b974-c364ffb11857","resolution":{"observed_at":"2026-08-15T20:22:53.894521Z","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":"2026-08-15T20:22:54.898146Z","title":null,"venue":null,"work_id":"53c80356-416d-4f98-80db-ae15086c6de0","year":2008},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.898364Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:e1dbbb53d52aeb1c5413665132c305f3a9b0f7cec40b0b11ebfb513779edfabc","observation_id":"6273ba71-f905-4552-a8c2-8b33b017e333","resolution":{"observed_at":"2026-08-15T20:22:54.902145Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:54.885230Z","title":"Ranocha, Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators, in: S","venue":null,"work_id":"506f9dc0-177e-4961-9c12-3002dfe88a6c","year":2018},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.906479Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:c49bdd8f11d9450cf54f4f3f9e12ca2e37083917e16e46409dca297bbd557825","observation_id":"732f1095-14c1-48b0-b8d6-8a14aed401e4","resolution":{"observed_at":"2026-08-15T20:22:54.888968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.4994","last_updated":"2012-09-22T13:09:42Z","snapshot_observed_at":"2026-08-15T00:45:42.679244Z","submitted_at":"2012-09-22T13:09:42Z","title":"Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations","version":1},"cited_work":{"arxiv_id":"1209.4994","doi":null,"metadata_source":"pith","pith_arxiv_id":"1209.4994","snapshot_observed_at":"2026-08-15T20:22:54.840402Z","title":"Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations","venue":"cs.NA","work_id":"de9c5a5a-b688-4685-a8fa-4c70f14f1b61","year":2012},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.909947Z"},"links":{"cited_paper":"/paper/1209.4994","citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:499795816d9b113e59330fda02137986b21955eb4cf45eb1457fb1cf9d28cded","observation_id":"f3d81031-8003-421d-ad64-0b921cd1c0db","resolution":{"observed_at":"2026-08-15T20:22:54.844387Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.914150Z","title":"Abgrall, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.914150Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:e3fb9dbf428ea5d39f61df08c79c4d94788a836ae1231e4646490fea3fe7e43c","observation_id":"b49c8974-66a3-4612-ad55-fc9a729952e8","resolution":{"observed_at":"2026-08-15T20:22:53.914150Z","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":"10.1007/978-3-540-92779-2_21","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-17T11:03:46.409680Z","title":"Ismail, P","venue":null,"work_id":"a077b56c-38d2-446d-a2fc-2796118f4db9","year":2006},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.920883Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:0b8d2b92a9446cc54719d64aba0c6f3d5672881135e5e1dc6163ec67cfc004d3","observation_id":"fdfc1d0d-2879-4751-9129-c420c245a411","resolution":{"observed_at":"2026-08-15T20:22:54.227450Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.924470Z","title":"Ismail, P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.924470Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:eb226c9826560bc33c29f7e542c55dd369558ce499e30766be46d9e0cfd94e9d","observation_id":"e05d9d6a-f883-4c2c-8e28-b6f903f0806d","resolution":{"observed_at":"2026-08-15T20:22:53.924470Z","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":"stable/2006149","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.714993Z","title":"Harten, The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III","venue":null,"work_id":"9764d112-76d8-4005-9437-6ef4c1b19661","year":1978},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.928148Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:5a940f4cd7afd5fb751d9ece2bd9104025bf9d8cfa7bf0720f46c6e1efb33430","observation_id":"c2d148ad-1f36-4015-8ff7-116ff0a9668b","resolution":{"observed_at":"2026-08-15T20:22:54.720581Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.931418Z","title":"Jameson, W","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.931418Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:29a53c58973915f262805be457d725ebd12f9ca201af48e6b181044dbb758bc1","observation_id":"cbd3adb2-2885-4264-93f0-35aad6b0068a","resolution":{"observed_at":"2026-08-15T20:22:53.931418Z","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":"2026-08-15T20:22:53.935281Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.935281Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:98cfb9793228df4ab4dfd9b8bf43cec0489869e9c98315c957212d883f5f3eb0","observation_id":"be42b357-8091-49da-bba9-7e51b61bac64","resolution":{"observed_at":"2026-08-15T20:22:53.935281Z","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":"2026-08-15T20:22:54.874491Z","title":null,"venue":null,"work_id":"450b7659-a061-4f92-a80f-d07b22b80e0d","year":1971},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.938902Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:82465d8fe406e14613f547e5b872fafad168d00c224fa36deef4f009778276a1","observation_id":"ec73d075-0e93-4eed-8910-4e36d3608d2a","resolution":{"observed_at":"2026-08-15T20:22:54.877867Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.942368Z","title":"Mock, Systems of conservation laws of mixed type, Journal of Differential Equations 37 (1) (1980) 70–88","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.942368Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:392c7d3364723f926eb934813d6e901b09d57abb8ce1bc97d0eb51711f2aab55","observation_id":"05df8d8c-8e64-4454-af69-fc572e4d779e","resolution":{"observed_at":"2026-08-15T20:22:53.942368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.06618","last_updated":"2016-09-23T07:51:09Z","snapshot_observed_at":"2026-08-14T22:00:32.831842Z","submitted_at":"2016-04-22T12:11:40Z","title":"Split Form Nodal Discontinuous Galerkin Schemes with Summation-By-Parts Property for the Compressible Euler Equations","version":3},"cited_work":{"arxiv_id":"1604.06618","doi":null,"metadata_source":"pith","pith_arxiv_id":"1604.06618","snapshot_observed_at":"2026-08-15T20:22:54.586245Z","title":"Split Form Nodal Discontinuous Galerkin Schemes with Summation-By-Parts Property for the Compressible Euler Equations","venue":"math.NA","work_id":"504d7ae5-30d8-421d-b27d-07d53b4d6c00","year":2016},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.948687Z"},"links":{"cited_paper":"/paper/1604.06618","citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:4a03f06b736cee5916a20324ec40a9d48a25f3f3d28f52a340d5f607cd47cd50","observation_id":"44f3a4df-44af-46d0-b729-acb05f1207fb","resolution":{"observed_at":"2026-08-15T20:22:54.591157Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.952273Z","title":"Abgrall, A general framework to construct schemes satisfying additional conservation relations","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.952273Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:eb55523cae08ad601f7951466d539abc3ccd92cf7de6075ce67f6526749a5a26","observation_id":"e6456415-4bfc-4027-ae09-8443a59d8edd","resolution":{"observed_at":"2026-08-15T20:22:53.952273Z","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":"publication/2413659","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.567591Z","title":"Leer, Flux-Vector Splitting for the 1990s, 1990, NASA Lewis Research Center Computational Fluid Dynamics Symposium on AeropropulsionAt: Cleaveland, OH, Volume: N91-21062 13-02","venue":null,"work_id":"2f8dd89f-6bf8-4d9f-bdf3-2310164613a4","year":1990},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.955635Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:c8d39604b166c81568d054996d98b72f3402036284668633675f145f43328412","observation_id":"218c1524-9f86-41b3-abb6-043de7698bad","resolution":{"observed_at":"2026-08-15T20:22:54.575035Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1742-6596/1623/1/012020","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.184026Z","title":null,"venue":null,"work_id":"ab9275a2-bf9f-469d-ae02-e1583da66161","year":2020},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.962638Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:a778f8ec0a0f78e27716a513109197959771f543223a0907a091a52b04d947bf","observation_id":"da0b71e7-5c07-4bbe-91e1-7e2bbbe8db2d","resolution":{"observed_at":"2026-08-15T20:22:54.187850Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10915-018-0793-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.170732Z","title":"Gouasmi, S","venue":null,"work_id":"b9c956ab-f9b9-4917-a233-c70039734ddd","year":2019},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.966308Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:4f6164a345ef2423ca218bfe973261ddb56630d928bf36d1ae7bdaa0e1a06586","observation_id":"ea4fbb82-9b5b-445b-ae2d-f11c4b19c776","resolution":{"observed_at":"2026-08-15T20:22:54.176031Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.969582Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.969582Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:9469ab21b10acea16f36c90bbf14993fa4795f61d5fd211705286c1006d12905","observation_id":"3f9d5a5a-be00-4492-beee-71daab39e6cf","resolution":{"observed_at":"2026-08-15T20:22:53.969582Z","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":"10.1016/j.jcp.2008.10.002","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.150893Z","title":"Jaisankar, S.V","venue":null,"work_id":"94355146-27b6-45ec-abbe-a81683f957ef","year":2009},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.973032Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:41d6e55df043acaaf8b17b6ce82f1e51993eaa38a9d4142b8ebc896b4da95a41","observation_id":"0e0a7f07-9a6f-4a31-b8b4-49737962c890","resolution":{"observed_at":"2026-08-15T20:22:54.155415Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2514/6.2009-3791","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.137620Z","title":"Zaide, P","venue":null,"work_id":"e923db77-1b16-4afb-b35c-4eeb6a9871d1","year":2009},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.976489Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:b858ec23be87d11dea9f42927b1c95b002dad588867ff69fda3241ce96638d68","observation_id":"1a7a4bac-160d-4cd1-a67b-7268288dcdb4","resolution":{"observed_at":"2026-08-15T20:22:54.142149Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.979890Z","title":"Shrinath, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.979890Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:38fcbaadde1aa5a70025a666f66c4f459342c935c878cc63aba3b3d3214b1ded","observation_id":"62b14808-20a7-410b-99d5-80e8b19fca59","resolution":{"observed_at":"2026-08-15T20:22:53.979890Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-15T20:22:53.983523Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.983523Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:bccac095bd547011115d821575c36786e182407bcf4d9164b24e58641b003dca","observation_id":"229eca73-39f6-4744-b778-0c421797bd3e","resolution":{"observed_at":"2026-08-15T20:22:53.983523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.10695","last_updated":"2020-03-24T07:28:51Z","snapshot_observed_at":"2026-08-13T23:12:07.804823Z","submitted_at":"2020-03-24T07:28:51Z","title":"Novel, simple and robust contact-discontinuity capturing schemes for high speed compressible flows","version":1},"cited_work":{"arxiv_id":"2003.10695","doi":null,"metadata_source":"pith","pith_arxiv_id":"2003.10695","snapshot_observed_at":"2026-08-15T20:22:54.386817Z","title":"Novel, simple and robust contact-discontinuity capturing schemes for high speed compressible flows","venue":"math.NA","work_id":"7ae17b29-a87a-44b5-a05a-e1d6c0b9b973","year":2020},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.986916Z"},"links":{"cited_paper":"/paper/2003.10695","citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:41c57c7e934a7504c2712d05e7f3d1b8107e979d4c1b884d8b316ab735023549","observation_id":"5c0a4be1-d612-4d5f-a072-0d5f2e5d8b10","resolution":{"observed_at":"2026-08-15T20:22:54.391264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2514/6.2015-2718","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.124286Z","title":null,"venue":null,"work_id":"493cc951-57bf-4ed1-9499-430c837d8e17","year":2015},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.991174Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:aa4509b3d41dbbb346f9fcda511d61412bbe2d9d15c211de85ed65f643aef655","observation_id":"11fc3363-9802-405a-b54f-813d4e2bed97","resolution":{"observed_at":"2026-08-15T20:22:54.129041Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:54.863424Z","title":"Blazek, Computational fluid and solid mechanics, Elsevier, Amsterdam, [Netherlands], 2001","venue":null,"work_id":"b1ed9e27-fde2-4bc9-9a77-14f89c326b06","year":2001},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.994578Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:4d8bbfe1d51cc2cfa54db9e722bc249977531efc0765aa4123ecc40002e7eb8c","observation_id":"c126271a-7253-49f1-9db9-e882f51964e9","resolution":{"observed_at":"2026-08-15T20:22:54.867212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/3-540-11948-5_72","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-17T11:03:46.409680Z","title":null,"venue":"Lecture notes in physics","work_id":"6cc89d45-664f-40ae-b789-083a1a3e031a","year":1982},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.998269Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:c6b3f6b8e689534ca07f606985f2ffb7d2e4b3cc8e824c52c55b20f72eb276fd","observation_id":"d7c937ad-a4cc-4402-aa63-c06d6cc0693f","resolution":{"observed_at":"2026-08-15T20:22:54.116216Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1993.1103","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.367419Z","title":null,"venue":null,"work_id":"a9aa865e-6185-4897-9b3f-74644de34987","year":1993},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.001914Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:b8e6a0587ea25c27acfaf67818a8f2a9abf0249307ed25d12b42aca78aac945a","observation_id":"5a7a78e9-72aa-441e-a057-2ec9a3b9469c","resolution":{"observed_at":"2026-08-15T20:22:54.373616Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2514/6.1988-2904","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.099299Z","title":"Peery, S","venue":null,"work_id":"a7b556e7-324c-4b7a-9946-b86dd94a61ee","year":1988},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.005327Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:84414881f3a17ba388ccb825b2fd56a484647154e58f30551931b70f6a9c7cc1","observation_id":"e42d286f-32cf-4b35-a850-9e1c783c584b","resolution":{"observed_at":"2026-08-15T20:22:54.103620Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/fld.2217","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:08:47.750906Z","title":"Huang, H","venue":"International Journal for Numerical Methods in Fluids","work_id":"f9aa5b5a-c265-42ee-bcf7-8cd0775d00cb","year":2011},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.008866Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:ec45482462c9f3abb7438e50f8cc04679df14983e7768dd9ff6601f79aeafa06","observation_id":"67196b3b-7242-4eb7-80f6-e81ef5d40e8e","resolution":{"observed_at":"2026-08-15T20:22:54.092259Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:54.017032Z","title":"Woodward, P","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.017032Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:7428507adca53d5dd8b47e74da68eb672272a20bd248d0c3b08b07ff5b67dfcc","observation_id":"e4a36597-83a0-449a-af8a-0fedf7d81c80","resolution":{"observed_at":"2026-08-15T20:22:54.017032Z","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":"2026-08-15T20:22:54.023015Z","title":"Fleischmann, S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.023015Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:067374c3206a176f54c647b2150cf10bcf5a8988e6a700a3427e12eff60fff8d","observation_id":"950db9bd-26c7-4f1b-a00c-8fec7963e324","resolution":{"observed_at":"2026-08-15T20:22:54.023015Z","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":"2026-08-15T20:22:54.027517Z","title":"Elling, The carbuncle phenomenon is incurable, Acta Mathematica Scientia 29 (6) (2009) 1647–1656","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.027517Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:ded303908eb24c1415e2260b0818548f4c7279aa5c91d4ecaacc8f7d0d0f7152","observation_id":"6c6180f8-44a5-4035-ae6f-93e381ba388b","resolution":{"observed_at":"2026-08-15T20:22:54.027517Z","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":"10.1016/j.amc.2017.09.014","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:22:54.061124Z","title":"Kemm, Heuristical and numerical considerations for the carbuncle phenomenon, Applied Mathematics and Computation 320 (2018) 596–613","venue":null,"work_id":"eaa4ffd7-75dc-43dc-b94e-e3fd0c7d4676","year":2018},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:54.032459Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:3b9c15f3c793181facf69db9d56e3f7cd2445bb5d252da2b81cbb29d82d56b81","observation_id":"0bdaa9ca-b8f2-4d35-bc43-9a33b83bc541","resolution":{"observed_at":"2026-08-15T20:22:54.066629Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T20:22:53.902195Z","title":"URL http://link.springer.com/10.1007/s10915-007-9172-6","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy","version":1},"reference_index":208,"source":"pdf_text","source_observed_at":"2026-08-15T20:22:53.902195Z"},"links":{"citing_paper":"/paper/2505.13374"},"observation_digest":"sha256:9eb0b1ad41ce683d8f4b52d50c7bca82f2cc7dc6b910340406a6ec46960ce006","observation_id":"89f23e8e-f273-49f1-a220-f34d054e73a2","resolution":{"observed_at":"2026-08-15T20:22:53.902195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.13374","last_updated":"2025-05-19T17:19:39Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-18T09:16:17.180261Z","submitted_at":"2025-05-19T17:19:39Z","title":"Structure-preserving schemes conserving entropy and kinetic energy"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":18,"verified_fuzzy":3},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2505.13374."}