{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LN6Q744ZNC2VMUJGBTGJCCI4QS","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":"0c937b2a60cbc2d25ac9271633a600a28b1ca341ce055db93339472737d9950e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-11T16:36:12Z","title_canon_sha256":"daa711d6537506b1296b05d19c32593f867f9a0d18bbf05ab243f6fc8f3ce87f"},"schema_version":"1.0","source":{"id":"2203.06062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06062","created_at":"2026-07-05T05:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06062v1","created_at":"2026-07-05T05:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06062","created_at":"2026-07-05T05:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"LN6Q744ZNC2V","created_at":"2026-07-05T05:35:13Z"},{"alias_kind":"pith_short_16","alias_value":"LN6Q744ZNC2VMUJG","created_at":"2026-07-05T05:35:13Z"},{"alias_kind":"pith_short_8","alias_value":"LN6Q744Z","created_at":"2026-07-05T05:35:13Z"}],"graph_snapshots":[{"event_id":"sha256:415cddff8aec8626914caff072242f7f43407de499c84fd11e443099ad3aa7c9","target":"graph","created_at":"2026-07-05T05:35:13Z","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/2203.06062/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present an entropy-stable Gauss collocation discontinuous Galerkin (DG) method on 3D curvilinear meshes for the GLM-MHD equations: the single-fluid magneto-hydrodynamics (MHD) equations with a generalized Lagrange multiplier (GLM) divergence cleaning mechanism. For the continuous entropy analysis to hold and to ensure Galilean invariance in the divergence cleaning technique, the GLM-MHD system requires the use of non-conservative terms.\n  Traditionally, entropy-stable DG discretizations have used a collocated nodal variant of the DG method, also known as the discontinuous Gal","authors_text":"Andr\\'es M Rueda-Ram\\'irez, Florian J Hindenlang, Gregor J Gassner, Jesse Chan","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-11T16:36:12Z","title":"Entropy-Stable Gauss Collocation Methods for Ideal Magneto-Hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06062","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":"sha256:027edb54897d43e144c295248feda03736bcacb389ad203620a873a035bbdbad","target":"record","created_at":"2026-07-05T05:35:13Z","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":"0c937b2a60cbc2d25ac9271633a600a28b1ca341ce055db93339472737d9950e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-11T16:36:12Z","title_canon_sha256":"daa711d6537506b1296b05d19c32593f867f9a0d18bbf05ab243f6fc8f3ce87f"},"schema_version":"1.0","source":{"id":"2203.06062","kind":"arxiv","version":1}},"canonical_sha256":"5b7d0ff39968b55651260ccc91091c84afe6ee4f52296724a9f58ca8cc624736","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b7d0ff39968b55651260ccc91091c84afe6ee4f52296724a9f58ca8cc624736","first_computed_at":"2026-07-05T05:35:13.422101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:35:13.422101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtDXFe4C8dBDD2WAX0lrRJtTBrU4sRkV3Xz0W83tY/F053jnokPu3gxJZI4ZCOsWYzVUDGzmd3ZimBjG0ygvDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:35:13.422526Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.06062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:027edb54897d43e144c295248feda03736bcacb389ad203620a873a035bbdbad","sha256:415cddff8aec8626914caff072242f7f43407de499c84fd11e443099ad3aa7c9"],"state_sha256":"1e4a60745d4e32d3ef1ca6e44e611c1e41515aee9d70b5e0777b1c6e78d0a443"}