{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2XM3K7DIPNJLIENHA4NKUWALJR","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":"c89b9ef0a2313a293660ec2866d43bbfad6e00fa910afe77e945accd8a32ad0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-12T02:37:47Z","title_canon_sha256":"994eb706ff7b4c7fafc3881fc37248415688cb20ebae9f5c0c3e9f07be1dd22f"},"schema_version":"1.0","source":{"id":"1806.04306","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04306","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04306v1","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04306","created_at":"2026-05-18T00:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"2XM3K7DIPNJL","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2XM3K7DIPNJLIENH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2XM3K7DI","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:1f3139714f182d96d592e69d08fc95dc323acb52461b340871076bd2679bcbbc","target":"graph","created_at":"2026-05-18T00:13:35Z","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":"The dispersive behavior of the recently proposed energy-conserving discontinuous Galerkin (DG) method by Fu and Shu [10] is analyzed and compared with the classical centered and upwinding DG schemes. It is shown that the new scheme gives a significant improvement over the classical centered and upwinding DG schemes in terms of dispersion error. Numerical results are presented to support the theoretical findings.","authors_text":"Guosheng Fu, Mark Ainsworth","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-12T02:37:47Z","title":"Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04306","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":"sha256:612a17218e24f059eb1210ec3918a3e1cbaded13d9040b67d8ea644625a3cc22","target":"record","created_at":"2026-05-18T00:13:35Z","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":"c89b9ef0a2313a293660ec2866d43bbfad6e00fa910afe77e945accd8a32ad0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-12T02:37:47Z","title_canon_sha256":"994eb706ff7b4c7fafc3881fc37248415688cb20ebae9f5c0c3e9f07be1dd22f"},"schema_version":"1.0","source":{"id":"1806.04306","kind":"arxiv","version":1}},"canonical_sha256":"d5d9b57c687b52b411a7071aaa580b4c6eb885bb1a3a8aa9ad19e934a3bc0caf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5d9b57c687b52b411a7071aaa580b4c6eb885bb1a3a8aa9ad19e934a3bc0caf","first_computed_at":"2026-05-18T00:13:35.926715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:35.926715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjcpEkIvotK6BXzqRAQOCC17v2J+PNLqF2fUywjD/yxy+jRcagpclEhs9iVSoa/AlX3fcr6+XbVx7eR+cRqTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:35.927266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04306","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612a17218e24f059eb1210ec3918a3e1cbaded13d9040b67d8ea644625a3cc22","sha256:1f3139714f182d96d592e69d08fc95dc323acb52461b340871076bd2679bcbbc"],"state_sha256":"a7eca6a77a8d0395824d644adeab1526fd4ae86542866fc3d39d41c5b4cf43b9"}