{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CLN2MLTAZJU5FCSL3KZVTSDZD7","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":"d0274f413f83cc0e65f0946777dfa9fe8b59f60f3d0eb95d1b86a2cef84cd50a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-02T19:23:23Z","title_canon_sha256":"883113fdce8ca2fff26f9073c9a669423522583b058a18375f4908992393c821"},"schema_version":"1.0","source":{"id":"1908.01023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01023","created_at":"2026-07-04T23:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01023v1","created_at":"2026-07-04T23:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01023","created_at":"2026-07-04T23:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"CLN2MLTAZJU5","created_at":"2026-07-04T23:51:25Z"},{"alias_kind":"pith_short_16","alias_value":"CLN2MLTAZJU5FCSL","created_at":"2026-07-04T23:51:25Z"},{"alias_kind":"pith_short_8","alias_value":"CLN2MLTA","created_at":"2026-07-04T23:51:25Z"}],"graph_snapshots":[{"event_id":"sha256:79b3ff8d32f062cc15304510e908889defb82c3fab9875e40f1034f478670e1a","target":"graph","created_at":"2026-07-04T23:51:25Z","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/1908.01023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The ideal Magnetohydrodynamics (MHD) equations are challenging because one needs to maintain the divergence free condition, $\\nabla \\cdot \\Bv = 0$. Many numerical methods have been developed to enforce this condition. In this work, we further our work on mesh aligned constrained transport by developing a new kernel based approach for the vector potential in 2D and 3D. The approach for solving the vector potential is based on the method of lines transpose and is A-stable, eliminating the need for diffusion limiters needed in our previous work in 3D. The work presented here is an improvement ove","authors_text":"Andrew Christlieb, Firat Cakir, Yan Jiang","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-02T19:23:23Z","title":"A Kernel Based High Order \"Explicit\" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01023","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:b0d2b09c543cc7ad966a732c4922831fa651f9b0db3f5d680b8e0b1b2bcbe948","target":"record","created_at":"2026-07-04T23:51:25Z","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":"d0274f413f83cc0e65f0946777dfa9fe8b59f60f3d0eb95d1b86a2cef84cd50a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-02T19:23:23Z","title_canon_sha256":"883113fdce8ca2fff26f9073c9a669423522583b058a18375f4908992393c821"},"schema_version":"1.0","source":{"id":"1908.01023","kind":"arxiv","version":1}},"canonical_sha256":"12dba62e60ca69d28a4bdab359c8791ff156e98c2d8ae5f4ece78e08a53ba071","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12dba62e60ca69d28a4bdab359c8791ff156e98c2d8ae5f4ece78e08a53ba071","first_computed_at":"2026-07-04T23:51:25.693585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:25.693585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FLJuWM7/PliyWZ6yF0jciGv7TEOVCf9GLiTo1/DlABrm8EUKdXkjie4eXlsQZNZrLGSSBMjxD239BeGG4w9GBw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:25.694003Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0d2b09c543cc7ad966a732c4922831fa651f9b0db3f5d680b8e0b1b2bcbe948","sha256:79b3ff8d32f062cc15304510e908889defb82c3fab9875e40f1034f478670e1a"],"state_sha256":"f8515498511a63e71074cbe6641772be7c720b52a7921bc6fc4b076c4f655dd8"}