{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BZBMPARVJTA3QEINOXCM6JSHJ7","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":"a49e9c66c8cf26568c415971629083ae3faff11d7b66765992894d8c04709768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2015-06-27T19:35:42Z","title_canon_sha256":"cbab3b6864564bb3582182d04fa56eb88f30fa16a1264e2a93a98efd7532304e"},"schema_version":"1.0","source":{"id":"1506.08322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08322","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08322v1","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08322","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"pith_short_12","alias_value":"BZBMPARVJTA3","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BZBMPARVJTA3QEIN","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BZBMPARV","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:0ef57c956a332703879c024346f75ff20fcd804be9dd15b6c7b8c6970722084a","target":"graph","created_at":"2026-05-18T01:24:18Z","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":"A recent paper arXiv:1312.4890 on multi-symplectic magnetohydrodynamics (MHD) using Clebsch variables in an Eulerian action principle with constraints is further extended. We relate a class of symplecticity conservation laws to a vorticity conservation law, and provide a corrected form of the Poincar\\'e-Cartan differential form formulation of the system. We also correct some typographical errors (omissions) in arXiv:1312.4890. We show that the vorticity-symplecticity conservation law, that arises as a compatibility condition on the system, expressed in terms of the Clebsch variables is equival","authors_text":"G. M. Webb, G.P. Zank, J. F. McKenzie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2015-06-27T19:35:42Z","title":"Multi-Symplectic Magnetohydrodynamics: II, Addendum and Erratum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08322","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:c0069a90b075eabc394e2d5e539b1bacfd9424e1a966593460ae75a375676be7","target":"record","created_at":"2026-05-18T01:24:18Z","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":"a49e9c66c8cf26568c415971629083ae3faff11d7b66765992894d8c04709768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2015-06-27T19:35:42Z","title_canon_sha256":"cbab3b6864564bb3582182d04fa56eb88f30fa16a1264e2a93a98efd7532304e"},"schema_version":"1.0","source":{"id":"1506.08322","kind":"arxiv","version":1}},"canonical_sha256":"0e42c782354cc1b8110d75c4cf26474ff81eb2cdc09f5cc089ea5a8591300d60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e42c782354cc1b8110d75c4cf26474ff81eb2cdc09f5cc089ea5a8591300d60","first_computed_at":"2026-05-18T01:24:18.842719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:18.842719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l3RQM1YWUKJhuWpIJfGQzhMvczNNdjEP9+Upz/qZ2+h1qjGuQmasHMyGBlyueQCo5IUR1Xbfd7ySRBBgvTsXBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:18.843099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0069a90b075eabc394e2d5e539b1bacfd9424e1a966593460ae75a375676be7","sha256:0ef57c956a332703879c024346f75ff20fcd804be9dd15b6c7b8c6970722084a"],"state_sha256":"e29737ca743f0c8700a78be0f9e47d0561dc894ccbac23e124aeff7c01c22d8d"}