{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YPXVINI3VKYB5DNFURGH2DQPMA","short_pith_number":"pith:YPXVINI3","schema_version":"1.0","canonical_sha256":"c3ef54351baab01e8da5a44c7d0e0f60192d875b7366a9feb38e021e06e7bf7c","source":{"kind":"arxiv","id":"1009.4326","version":1},"attestation_state":"computed","paper":{"title":"Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Kun Xu, Pubing Yu, Quanhua Sun","submitted_at":"2010-09-22T11:14:16Z","abstract_excerpt":"Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computational fluid dynamics methods. Starting from the discontinuity, a Riemann problem in the Godunov method is solved for the flux evaluation across the cell interface in a finite volume scheme. With the increasing of Mach number in the CFD simulations, the adaptation of the Riemann solver seems introduce intrinsically a mechanism to develop instabilities in strong shock regions. Theoretically, the Rie"},"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":"1009.4326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-22T11:14:16Z","cross_cats_sorted":["math.MP","physics.flu-dyn"],"title_canon_sha256":"bb00b2390c96f0ea3480274a70bba47382b9ab718c54634b061166e5d0e90717","abstract_canon_sha256":"cc608d54f3e62390bc74d97eaf558eed985aa2a5e46ab6ca0fe4ac562aab1b6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:33.344021Z","signature_b64":"nP1lV/0BKXRJUSSmQHhANVYVzxCRL6qh/zkQw9c6/EGR0I+3+XU3zFeUqhZ2aNhq/stoJCwyGMJZKEp6GfExCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3ef54351baab01e8da5a44c7d0e0f60192d875b7366a9feb38e021e06e7bf7c","last_reissued_at":"2026-05-18T04:40:33.343455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:33.343455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Kun Xu, Pubing Yu, Quanhua Sun","submitted_at":"2010-09-22T11:14:16Z","abstract_excerpt":"Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computational fluid dynamics methods. Starting from the discontinuity, a Riemann problem in the Godunov method is solved for the flux evaluation across the cell interface in a finite volume scheme. With the increasing of Mach number in the CFD simulations, the adaptation of the Riemann solver seems introduce intrinsically a mechanism to develop instabilities in strong shock regions. Theoretically, the Rie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4326","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":"1009.4326","created_at":"2026-05-18T04:40:33.343550+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.4326v1","created_at":"2026-05-18T04:40:33.343550+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4326","created_at":"2026-05-18T04:40:33.343550+00:00"},{"alias_kind":"pith_short_12","alias_value":"YPXVINI3VKYB","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YPXVINI3VKYB5DNF","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YPXVINI3","created_at":"2026-05-18T12:26:17.028572+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/YPXVINI3VKYB5DNFURGH2DQPMA","json":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA.json","graph_json":"https://pith.science/api/pith-number/YPXVINI3VKYB5DNFURGH2DQPMA/graph.json","events_json":"https://pith.science/api/pith-number/YPXVINI3VKYB5DNFURGH2DQPMA/events.json","paper":"https://pith.science/paper/YPXVINI3"},"agent_actions":{"view_html":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA","download_json":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA.json","view_paper":"https://pith.science/paper/YPXVINI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.4326&json=true","fetch_graph":"https://pith.science/api/pith-number/YPXVINI3VKYB5DNFURGH2DQPMA/graph.json","fetch_events":"https://pith.science/api/pith-number/YPXVINI3VKYB5DNFURGH2DQPMA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA/action/storage_attestation","attest_author":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA/action/author_attestation","sign_citation":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA/action/citation_signature","submit_replication":"https://pith.science/pith/YPXVINI3VKYB5DNFURGH2DQPMA/action/replication_record"}},"created_at":"2026-05-18T04:40:33.343550+00:00","updated_at":"2026-05-18T04:40:33.343550+00:00"}