{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RR5UVHJHWKDRFRZSANVRY7DOQD","short_pith_number":"pith:RR5UVHJH","schema_version":"1.0","canonical_sha256":"8c7b4a9d27b28712c732036b1c7c6e80ef576e4ba09d2c30c8ad14b6d5613620","source":{"kind":"arxiv","id":"1403.0594","version":1},"attestation_state":"computed","paper":{"title":"Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jing-Mei Qiu, Tao Xiong, Zhengfu Xu","submitted_at":"2014-03-03T21:01:41Z","abstract_excerpt":"In this paper, we develop parametrized positivity satisfying flux limiters for the high order finite difference Runge-Kutta weighted essentially non-oscillatory (WENO) scheme solving compressible Euler equations to maintain positive density and pressure. Negative density and pressure, which often leads to simulation blow-ups or nonphysical solutions, emerges from many high resolution computations in some extreme cases. The methodology we propose in this paper is a nontrivial generalization of the parametrized maximum principle preserving flux limiters for high order finite difference schemes s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.0594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-03T21:01:41Z","cross_cats_sorted":[],"title_canon_sha256":"f93e5c408f5f1f32ec8d0a98ce005c2c6bf2f5afbe89927bc5884446ef857756","abstract_canon_sha256":"fe1ed5f4b703efcea8e4d7a949b1bf8cd6c8f4764db2cb1ee7673fb44b93c97a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:16.216054Z","signature_b64":"QhRdAJHdiZ7nyHdPMLztwRerdrTCzZXPOiKUjXRGOiZLJQ4ztffbbTnpSUEgY9E2kh/vXOfNCbWopyiS4jB/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c7b4a9d27b28712c732036b1c7c6e80ef576e4ba09d2c30c8ad14b6d5613620","last_reissued_at":"2026-05-18T02:57:16.215427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:16.215427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jing-Mei Qiu, Tao Xiong, Zhengfu Xu","submitted_at":"2014-03-03T21:01:41Z","abstract_excerpt":"In this paper, we develop parametrized positivity satisfying flux limiters for the high order finite difference Runge-Kutta weighted essentially non-oscillatory (WENO) scheme solving compressible Euler equations to maintain positive density and pressure. Negative density and pressure, which often leads to simulation blow-ups or nonphysical solutions, emerges from many high resolution computations in some extreme cases. The methodology we propose in this paper is a nontrivial generalization of the parametrized maximum principle preserving flux limiters for high order finite difference schemes s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0594","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.0594","created_at":"2026-05-18T02:57:16.215521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0594v1","created_at":"2026-05-18T02:57:16.215521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0594","created_at":"2026-05-18T02:57:16.215521+00:00"},{"alias_kind":"pith_short_12","alias_value":"RR5UVHJHWKDR","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RR5UVHJHWKDRFRZS","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RR5UVHJH","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD","json":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD.json","graph_json":"https://pith.science/api/pith-number/RR5UVHJHWKDRFRZSANVRY7DOQD/graph.json","events_json":"https://pith.science/api/pith-number/RR5UVHJHWKDRFRZSANVRY7DOQD/events.json","paper":"https://pith.science/paper/RR5UVHJH"},"agent_actions":{"view_html":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD","download_json":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD.json","view_paper":"https://pith.science/paper/RR5UVHJH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0594&json=true","fetch_graph":"https://pith.science/api/pith-number/RR5UVHJHWKDRFRZSANVRY7DOQD/graph.json","fetch_events":"https://pith.science/api/pith-number/RR5UVHJHWKDRFRZSANVRY7DOQD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD/action/storage_attestation","attest_author":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD/action/author_attestation","sign_citation":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD/action/citation_signature","submit_replication":"https://pith.science/pith/RR5UVHJHWKDRFRZSANVRY7DOQD/action/replication_record"}},"created_at":"2026-05-18T02:57:16.215521+00:00","updated_at":"2026-05-18T02:57:16.215521+00:00"}