{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CWG27NFJRAYI53R7EWJT7MGIXE","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":"482b6f470a04bb71859bbf2738ca5601ab0b631eba7ad330a555f31eb58ff358","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-03T02:46:16Z","title_canon_sha256":"633eb6084087dab7aa59c1a7cf307c63d789a5eab041d4027972d980f34e6912"},"schema_version":"1.0","source":{"id":"1812.00530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.00530","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1812.00530v1","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00530","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"CWG27NFJRAYI","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_16","alias_value":"CWG27NFJRAYI53R7","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_8","alias_value":"CWG27NFJ","created_at":"2026-06-04T20:13:44Z"}],"graph_snapshots":[{"event_id":"sha256:c329769741c303ad21c58a4b4942dcc1d5fb5968413fc30ea6c0e6f732cf2ee7","target":"graph","created_at":"2026-06-04T20:13:44Z","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/1812.00530/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A moving mesh discontinuous Galerkin method is presented for the numerical solution of hyperbolic conservation laws. The method is a combination of the discontinuous Galerkin method and the mesh movement strategy which is based on the moving mesh partial differential equation approach and moves the mesh continuously in time and orderly in space. It discretizes hyperbolic conservation laws on moving meshes in the quasi-Lagrangian fashion with which the mesh movement is treated continuously and no interpolation is needed for physical variables from the old mesh to the new one. Two convection ter","authors_text":"Dongmi Luo, Jianxian Qiu, Weizhang Huang","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-03T02:46:16Z","title":"A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00530","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":"sha256:561adf3c7976890253feddae3f4ed90246f6455ce4f344115e920d2506e68176","target":"record","created_at":"2026-06-04T20:13:44Z","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":"482b6f470a04bb71859bbf2738ca5601ab0b631eba7ad330a555f31eb58ff358","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-03T02:46:16Z","title_canon_sha256":"633eb6084087dab7aa59c1a7cf307c63d789a5eab041d4027972d980f34e6912"},"schema_version":"1.0","source":{"id":"1812.00530","kind":"arxiv","version":1}},"canonical_sha256":"158dafb4a988308eee3f25933fb0c8b909e531c8bfad8a9595f295168bb9e441","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"158dafb4a988308eee3f25933fb0c8b909e531c8bfad8a9595f295168bb9e441","first_computed_at":"2026-06-04T20:13:44.885982Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:44.885982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3m5EPg7mswPup6wYgtap4LUiEpYkZo1CpPmVCiwo5X/gnv6JELitkNJeHywM/6CPKfLy5Ope2y9+Zvts4ftDQ==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:44.886517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.00530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:561adf3c7976890253feddae3f4ed90246f6455ce4f344115e920d2506e68176","sha256:c329769741c303ad21c58a4b4942dcc1d5fb5968413fc30ea6c0e6f732cf2ee7"],"state_sha256":"76fc9be922269b413ec082cdabf7818a62faf9decb25348e4a74bb3a1d948daf"}