{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QQOSBQGB5JEUH6LX4Q5QJFMLBJ","short_pith_number":"pith:QQOSBQGB","schema_version":"1.0","canonical_sha256":"841d20c0c1ea4943f977e43b04958b0a5b45cb18cf09e7031cd188b00d56481b","source":{"kind":"arxiv","id":"1703.00321","version":3},"attestation_state":"computed","paper":{"title":"On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Naumann, Matteo Semplice, Oliver Kolb","submitted_at":"2017-03-01T14:42:36Z","abstract_excerpt":"High order numerical methods for networks of hyperbolic conservation laws have recently gained increasing popularity. Here, the crucial part is to treat the boundaries of the single (one-dimensional) computational domains in such a way that the desired convergence rate is achieved in the smooth case but also stability criterions are fulfilled, in particular in the presence of discontinuities. Most of the recently proposed methods rely on a WENO extrapolation technique introduced by Tan and Shu in [\\emph{J.\\ Comput.\\ Phys.} 229, pp.\\ 8144--8166 (2010)]. Within this work, we refine and in a sens"},"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":"1703.00321","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-01T14:42:36Z","cross_cats_sorted":[],"title_canon_sha256":"358a5749365ed470c1e5b5da302499730bcbbc3a19f4843966c4e6c8fa891aad","abstract_canon_sha256":"68b1148bb77939f7da34974d5d9e71dfc2ee1f9363eb1d662a209935d47b01b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:52.884338Z","signature_b64":"EVTjStE4SYoEwFjHjV/OnBIVVHVgzbxxIBfK9F7hcntVQEWPxo6YAfpI0pWZtkCYWQF4Kffcimpp7XQVCbsZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"841d20c0c1ea4943f977e43b04958b0a5b45cb18cf09e7031cd188b00d56481b","last_reissued_at":"2026-05-18T00:22:52.883934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:52.883934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Naumann, Matteo Semplice, Oliver Kolb","submitted_at":"2017-03-01T14:42:36Z","abstract_excerpt":"High order numerical methods for networks of hyperbolic conservation laws have recently gained increasing popularity. Here, the crucial part is to treat the boundaries of the single (one-dimensional) computational domains in such a way that the desired convergence rate is achieved in the smooth case but also stability criterions are fulfilled, in particular in the presence of discontinuities. Most of the recently proposed methods rely on a WENO extrapolation technique introduced by Tan and Shu in [\\emph{J.\\ Comput.\\ Phys.} 229, pp.\\ 8144--8166 (2010)]. Within this work, we refine and in a sens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00321","kind":"arxiv","version":3},"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":"1703.00321","created_at":"2026-05-18T00:22:52.883999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00321v3","created_at":"2026-05-18T00:22:52.883999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00321","created_at":"2026-05-18T00:22:52.883999+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQOSBQGB5JEU","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQOSBQGB5JEUH6LX","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQOSBQGB","created_at":"2026-05-18T12:31:39.905425+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/QQOSBQGB5JEUH6LX4Q5QJFMLBJ","json":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ.json","graph_json":"https://pith.science/api/pith-number/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/graph.json","events_json":"https://pith.science/api/pith-number/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/events.json","paper":"https://pith.science/paper/QQOSBQGB"},"agent_actions":{"view_html":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ","download_json":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ.json","view_paper":"https://pith.science/paper/QQOSBQGB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00321&json=true","fetch_graph":"https://pith.science/api/pith-number/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/action/storage_attestation","attest_author":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/action/author_attestation","sign_citation":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/action/citation_signature","submit_replication":"https://pith.science/pith/QQOSBQGB5JEUH6LX4Q5QJFMLBJ/action/replication_record"}},"created_at":"2026-05-18T00:22:52.883999+00:00","updated_at":"2026-05-18T00:22:52.883999+00:00"}