{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:L3IE6LT5GGXK5MA62CXLG4SOMS","short_pith_number":"pith:L3IE6LT5","schema_version":"1.0","canonical_sha256":"5ed04f2e7d31aeaeb01ed0aeb3724e64b276f47a1eddca8b9687f96b8678b96c","source":{"kind":"arxiv","id":"1401.1020","version":1},"attestation_state":"computed","paper":{"title":"Gradient entropy estimate and convergence of a semi-explicit scheme for diagonal hyperbolic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Laurent Monasse, R\\'egis Monneau","submitted_at":"2014-01-06T09:40:17Z","abstract_excerpt":"In this paper, we consider diagonal hyperbolic systems with monotone continuous initial data. We propose a natural semi-explicit and upwind first order scheme. Under a certain non-negativity condition on the Jacobian matrix of the velocities of the system, there is a gradient entropy estimate for the hyperbolic system. We show that our scheme enjoys a similar gradient entropy estimate at the discrete level. This property allows us to prove the convergence of the scheme."},"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":"1401.1020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-01-06T09:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"6cdf162410f797d46ef79832318ae316a4f8b7e5d200f3d271861b2052c0de00","abstract_canon_sha256":"a0383173710314f8e1114e45afa0f7f06fad4f7bc9d8f4eca07b77ae66b28b6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:12.718097Z","signature_b64":"mAe7NqKf0vj5fm/ttQJcIp/VNBVWIL8sYRAl2XbiTYtLOg1Zr5qkrDX6bphLjdbi2lQtyCEKypYI/y2K8+IsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ed04f2e7d31aeaeb01ed0aeb3724e64b276f47a1eddca8b9687f96b8678b96c","last_reissued_at":"2026-05-18T00:56:12.717475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:12.717475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gradient entropy estimate and convergence of a semi-explicit scheme for diagonal hyperbolic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Laurent Monasse, R\\'egis Monneau","submitted_at":"2014-01-06T09:40:17Z","abstract_excerpt":"In this paper, we consider diagonal hyperbolic systems with monotone continuous initial data. We propose a natural semi-explicit and upwind first order scheme. Under a certain non-negativity condition on the Jacobian matrix of the velocities of the system, there is a gradient entropy estimate for the hyperbolic system. We show that our scheme enjoys a similar gradient entropy estimate at the discrete level. This property allows us to prove the convergence of the scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1020","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":"1401.1020","created_at":"2026-05-18T00:56:12.717571+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.1020v1","created_at":"2026-05-18T00:56:12.717571+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1020","created_at":"2026-05-18T00:56:12.717571+00:00"},{"alias_kind":"pith_short_12","alias_value":"L3IE6LT5GGXK","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"L3IE6LT5GGXK5MA6","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"L3IE6LT5","created_at":"2026-05-18T12:28:35.611951+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/L3IE6LT5GGXK5MA62CXLG4SOMS","json":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS.json","graph_json":"https://pith.science/api/pith-number/L3IE6LT5GGXK5MA62CXLG4SOMS/graph.json","events_json":"https://pith.science/api/pith-number/L3IE6LT5GGXK5MA62CXLG4SOMS/events.json","paper":"https://pith.science/paper/L3IE6LT5"},"agent_actions":{"view_html":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS","download_json":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS.json","view_paper":"https://pith.science/paper/L3IE6LT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.1020&json=true","fetch_graph":"https://pith.science/api/pith-number/L3IE6LT5GGXK5MA62CXLG4SOMS/graph.json","fetch_events":"https://pith.science/api/pith-number/L3IE6LT5GGXK5MA62CXLG4SOMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS/action/storage_attestation","attest_author":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS/action/author_attestation","sign_citation":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS/action/citation_signature","submit_replication":"https://pith.science/pith/L3IE6LT5GGXK5MA62CXLG4SOMS/action/replication_record"}},"created_at":"2026-05-18T00:56:12.717571+00:00","updated_at":"2026-05-18T00:56:12.717571+00:00"}