{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KCKH3K2K2IOZN3URYDPTA4BK4D","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":"9dafec673a9a3088e435a87a9e6853e299581975b91dc3bcc393fbc5da47eed7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-05T17:20:10Z","title_canon_sha256":"c34311bbd8bdd554035c4eaff4d96d793e17067a530b9bf008c31facfcef50be"},"schema_version":"1.0","source":{"id":"1804.02365","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02365","created_at":"2026-05-18T00:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02365v1","created_at":"2026-05-18T00:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02365","created_at":"2026-05-18T00:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"KCKH3K2K2IOZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KCKH3K2K2IOZN3UR","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KCKH3K2K","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:5515b911956a668037d3cec8c2cbc77b2f1dd3c32397aac49f4a24a789adfd2c","target":"graph","created_at":"2026-05-18T00:19:05Z","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"},"paper":{"abstract_excerpt":"In this paper, we generalize a high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for multi-dimensional linear transport equations without operator splitting developed in Cai et al. (J. Sci. Comput. 73: 514-542, 2017) to the 2D time dependent incompressible Euler equations in the vorticity-stream function formulation and the guiding center Vlasov model. We adopt a local DG method for Poisson's equation of these models. For tracing the characteristics, we adopt a high order characteristics tracing mechanism based on a prediction-correction technique. The SLDG with large time-ste","authors_text":"Jingmei Qiu, Wei Guo, Xiaofeng Cai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-05T17:20:10Z","title":"A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02365","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:b0837c5154a3d511dcbb89da0a2554b83aea2f5ebbb0594a2b4459d3e343aeed","target":"record","created_at":"2026-05-18T00:19:05Z","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":"9dafec673a9a3088e435a87a9e6853e299581975b91dc3bcc393fbc5da47eed7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-05T17:20:10Z","title_canon_sha256":"c34311bbd8bdd554035c4eaff4d96d793e17067a530b9bf008c31facfcef50be"},"schema_version":"1.0","source":{"id":"1804.02365","kind":"arxiv","version":1}},"canonical_sha256":"50947dab4ad21d96ee91c0df30702ae0d5929a666929561a848162df088925ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50947dab4ad21d96ee91c0df30702ae0d5929a666929561a848162df088925ce","first_computed_at":"2026-05-18T00:19:05.083733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:05.083733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JAz7NgSX1Db/Ie3JP5ilfQWt5+YUUqr4C4vTAFqf5ybECNfzmVNjOqhpQW9mMPd9aPIk4fq+83jP15bHa7FQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:05.084399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02365","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0837c5154a3d511dcbb89da0a2554b83aea2f5ebbb0594a2b4459d3e343aeed","sha256:5515b911956a668037d3cec8c2cbc77b2f1dd3c32397aac49f4a24a789adfd2c"],"state_sha256":"0696302b0cf9a99952b04e107491f92b0632c70eb8be5198406de4e2bfcf7259"}