{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DCBGF4M6OVVEC2UAXB7HF4M2GF","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":"3c71167b8d9e5dde7251517cf613dd7ed4b0ead7bef82fa344e7a0d1fd09c2a5","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-04T07:10:20Z","title_canon_sha256":"7559b4664b645125b214846d0bf4de9319bf0c4866e76dd71d069a6321067ea1"},"schema_version":"1.0","source":{"id":"1909.01580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.01580","created_at":"2026-07-05T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1909.01580v1","created_at":"2026-07-05T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.01580","created_at":"2026-07-05T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"DCBGF4M6OVVE","created_at":"2026-07-05T00:02:17Z"},{"alias_kind":"pith_short_16","alias_value":"DCBGF4M6OVVEC2UA","created_at":"2026-07-05T00:02:17Z"},{"alias_kind":"pith_short_8","alias_value":"DCBGF4M6","created_at":"2026-07-05T00:02:17Z"}],"graph_snapshots":[{"event_id":"sha256:532667db9370ad63ea779ac3c8af113d24d8bcb3157845490d2af83fb5599ec2","target":"graph","created_at":"2026-07-05T00:02:17Z","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/1909.01580/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, a simple and efficient third-order weighted essentially non-oscillatory (WENO) reconstruction is developed for three-dimensional flows, in which the idea of two-dimensional WENO-AO scheme on unstructured meshes \\cite{WENO-ao-3} is adopted. In the classical finite volume type WENO schemes, the linear weights for the candidate stencils are obtained by solving linear systems at Gaussian quadrature points of cell interface. For the three-dimensional scheme, such operations at twenty-four Gaussian quadrature points of a hexahedron would reduce the efficiency greatly, especially for t","authors_text":"Kun Xu, Liang Pan","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-04T07:10:20Z","title":"High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.01580","kind":"arxiv","version":1},"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:da89a4a3e9226378e44d04bc8c8cdefcdd1fa506d5f32a55426238af8721bdd7","target":"record","created_at":"2026-07-05T00:02:17Z","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":"3c71167b8d9e5dde7251517cf613dd7ed4b0ead7bef82fa344e7a0d1fd09c2a5","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-04T07:10:20Z","title_canon_sha256":"7559b4664b645125b214846d0bf4de9319bf0c4866e76dd71d069a6321067ea1"},"schema_version":"1.0","source":{"id":"1909.01580","kind":"arxiv","version":1}},"canonical_sha256":"188262f19e756a416a80b87e72f19a31799b5a9978e0f39875c81e833603f419","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"188262f19e756a416a80b87e72f19a31799b5a9978e0f39875c81e833603f419","first_computed_at":"2026-07-05T00:02:17.674271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:02:17.674271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ik1gZAgMfhq7xfqAT7ZRK7Fe/SV0i77VEABIXbTh09qshZPWQfq6YPp0s5LGoCgm+lnXIwJlO9vOTpyjQAIBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:02:17.674718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.01580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da89a4a3e9226378e44d04bc8c8cdefcdd1fa506d5f32a55426238af8721bdd7","sha256:532667db9370ad63ea779ac3c8af113d24d8bcb3157845490d2af83fb5599ec2"],"state_sha256":"303d47def1670d9139607462b677c1bd8ae4541ca54571fc7a0088a77c286eaa"}