{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WUKFNKE3EIFEEBM67HU3OPWO3M","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0d37c2f88eccedfd3e4571ce27d2fd84ed028789ee5697cb11b2c3f6d661a6c4","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T13:21:03Z","title_canon_sha256":"9f4931a6551ac26248ad18a9f77e4deef95266f77fbec5a6f277d7c042f6969b"},"schema_version":"1.0","source":{"id":"2411.16367","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.16367","created_at":"2026-07-05T09:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"2411.16367v5","created_at":"2026-07-05T09:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16367","created_at":"2026-07-05T09:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"WUKFNKE3EIFE","created_at":"2026-07-05T09:47:36Z"},{"alias_kind":"pith_short_16","alias_value":"WUKFNKE3EIFEEBM6","created_at":"2026-07-05T09:47:36Z"},{"alias_kind":"pith_short_8","alias_value":"WUKFNKE3","created_at":"2026-07-05T09:47:36Z"}],"graph_snapshots":[{"event_id":"sha256:04375fefd2ba5ae3c874e7593674de2b5eab316feb53172d9d2950411ac16b5d","target":"graph","created_at":"2026-07-05T09:47:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.16367/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The flux vector splitting (FVS) method has firstly been incorporated into the discontinuous Galerkin (DG) framework for reconstructing the numerical fluxes required for the spatial semi-discrete formulation, setting it apart from the conventional DG approaches that typically utilize the Lax-Friedrichs flux scheme or classical Riemann solvers. The control equations of hyperbolic conservation systems are initially reformulated into a flux-split form. Subsequently, a variational approach is applied to this flux-split form, from which a DG spatial semi-discrete scheme based on FVS is derived. In o","authors_text":"Zhengrong Xie","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T13:21:03Z","title":"Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16367","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d4769ad789a2930377528de8ee833c3ce85a74c2ad71d92ec57f67bf49cfd95c","target":"record","created_at":"2026-07-05T09:47:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0d37c2f88eccedfd3e4571ce27d2fd84ed028789ee5697cb11b2c3f6d661a6c4","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T13:21:03Z","title_canon_sha256":"9f4931a6551ac26248ad18a9f77e4deef95266f77fbec5a6f277d7c042f6969b"},"schema_version":"1.0","source":{"id":"2411.16367","kind":"arxiv","version":5}},"canonical_sha256":"b51456a89b220a42059ef9e9b73ecedb2ec4a2c950da2bdd14aacbe9c66afdfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b51456a89b220a42059ef9e9b73ecedb2ec4a2c950da2bdd14aacbe9c66afdfd","first_computed_at":"2026-07-05T09:47:36.649346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:47:36.649346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wvi9QYZza6smGdAIqDpkLSKf2B5QweVGrANwrj95dFxRWVOvXWx6baAgp/dJ0Alepq1dEKvzYnTnJcMOkB3FBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:47:36.649798Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.16367","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4769ad789a2930377528de8ee833c3ce85a74c2ad71d92ec57f67bf49cfd95c","sha256:04375fefd2ba5ae3c874e7593674de2b5eab316feb53172d9d2950411ac16b5d"],"state_sha256":"bd557d484390fdfd03e9f5201b2a0fe181057b1f5b90a68ffe7935ba81e72a7c"}