{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CGIZEYMP45JZX2HSJ7FIB6KMFL","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":"750aa9d6d70df7a812d68396765644c600517fc3235af6170ffbd13be0c291c3","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-10-31T11:41:49Z","title_canon_sha256":"e210a10f61e935ca6c2c7a06f42e51d4677621903fb4b258aac4b2f678eb60d7"},"schema_version":"1.0","source":{"id":"2411.00065","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.00065","created_at":"2026-07-05T10:35:39Z"},{"alias_kind":"arxiv_version","alias_value":"2411.00065v3","created_at":"2026-07-05T10:35:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.00065","created_at":"2026-07-05T10:35:39Z"},{"alias_kind":"pith_short_12","alias_value":"CGIZEYMP45JZ","created_at":"2026-07-05T10:35:39Z"},{"alias_kind":"pith_short_16","alias_value":"CGIZEYMP45JZX2HS","created_at":"2026-07-05T10:35:39Z"},{"alias_kind":"pith_short_8","alias_value":"CGIZEYMP","created_at":"2026-07-05T10:35:39Z"}],"graph_snapshots":[{"event_id":"sha256:d21a0eb85a3894914a4db83449932c61c34920317b014c478eb59dbb09b0f38c","target":"graph","created_at":"2026-07-05T10:35:39Z","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/2411.00065/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The active flux (AF) method is a compact high-order finite volume method that simultaneously evolves cell averages and point values at cell interfaces. Within the method of lines framework, the existing Jacobian splitting-based point value update incorporates the upwind idea but suffers from a stagnation issue for nonlinear problems due to inaccurate estimation of the upwind direction, and also from a mesh alignment issue partially resulting from decoupled point value updates. This paper proposes to use flux vector splitting for the point value update, offering a natural and uniform remedy to ","authors_text":"Christian Klingenberg, Junming Duan, Wasilij Barsukow","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-10-31T11:41:49Z","title":"Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.00065","kind":"arxiv","version":3},"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:c6700be64ae92231ed2d1e695fb8877fcb5ced8f93fe05908329b27f6348936c","target":"record","created_at":"2026-07-05T10:35:39Z","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":"750aa9d6d70df7a812d68396765644c600517fc3235af6170ffbd13be0c291c3","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-10-31T11:41:49Z","title_canon_sha256":"e210a10f61e935ca6c2c7a06f42e51d4677621903fb4b258aac4b2f678eb60d7"},"schema_version":"1.0","source":{"id":"2411.00065","kind":"arxiv","version":3}},"canonical_sha256":"119192618fe7539be8f24fca80f94c2ac97e37836b9caf612a12f68419cc5ce3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"119192618fe7539be8f24fca80f94c2ac97e37836b9caf612a12f68419cc5ce3","first_computed_at":"2026-07-05T10:35:39.872675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:35:39.872675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QUrf2lYF/5ysSCP7LCwm+tbmGmXP/IHPf/C8oqbzxu1MSwrci+5L0PZqc1WJjohenjOrV74EIBHBlG7Ci+AGBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:35:39.873463Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.00065","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6700be64ae92231ed2d1e695fb8877fcb5ced8f93fe05908329b27f6348936c","sha256:d21a0eb85a3894914a4db83449932c61c34920317b014c478eb59dbb09b0f38c"],"state_sha256":"f3b512a62c83fce8e56deb4f0375c271b811aedbeda921fbc6ffba91d2e3f8bb"}