{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CLN2MLTAZJU5FCSL3KZVTSDZD7","short_pith_number":"pith:CLN2MLTA","schema_version":"1.0","canonical_sha256":"12dba62e60ca69d28a4bdab359c8791ff156e98c2d8ae5f4ece78e08a53ba071","source":{"kind":"arxiv","id":"1908.01023","version":1},"attestation_state":"computed","paper":{"title":"A Kernel Based High Order \"Explicit\" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Andrew Christlieb, Firat Cakir, Yan Jiang","submitted_at":"2019-08-02T19:23:23Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.01023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-02T19:23:23Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"883113fdce8ca2fff26f9073c9a669423522583b058a18375f4908992393c821","abstract_canon_sha256":"d0274f413f83cc0e65f0946777dfa9fe8b59f60f3d0eb95d1b86a2cef84cd50a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:25.694003Z","signature_b64":"FLJuWM7/PliyWZ6yF0jciGv7TEOVCf9GLiTo1/DlABrm8EUKdXkjie4eXlsQZNZrLGSSBMjxD239BeGG4w9GBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12dba62e60ca69d28a4bdab359c8791ff156e98c2d8ae5f4ece78e08a53ba071","last_reissued_at":"2026-07-04T23:51:25.693585Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:25.693585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Kernel Based High Order \"Explicit\" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Andrew Christlieb, Firat Cakir, Yan Jiang","submitted_at":"2019-08-02T19:23:23Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01023","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.01023/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.01023","created_at":"2026-07-04T23:51:25.693648+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.01023v1","created_at":"2026-07-04T23:51:25.693648+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01023","created_at":"2026-07-04T23:51:25.693648+00:00"},{"alias_kind":"pith_short_12","alias_value":"CLN2MLTAZJU5","created_at":"2026-07-04T23:51:25.693648+00:00"},{"alias_kind":"pith_short_16","alias_value":"CLN2MLTAZJU5FCSL","created_at":"2026-07-04T23:51:25.693648+00:00"},{"alias_kind":"pith_short_8","alias_value":"CLN2MLTA","created_at":"2026-07-04T23:51:25.693648+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7","json":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7.json","graph_json":"https://pith.science/api/pith-number/CLN2MLTAZJU5FCSL3KZVTSDZD7/graph.json","events_json":"https://pith.science/api/pith-number/CLN2MLTAZJU5FCSL3KZVTSDZD7/events.json","paper":"https://pith.science/paper/CLN2MLTA"},"agent_actions":{"view_html":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7","download_json":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7.json","view_paper":"https://pith.science/paper/CLN2MLTA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.01023&json=true","fetch_graph":"https://pith.science/api/pith-number/CLN2MLTAZJU5FCSL3KZVTSDZD7/graph.json","fetch_events":"https://pith.science/api/pith-number/CLN2MLTAZJU5FCSL3KZVTSDZD7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7/action/storage_attestation","attest_author":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7/action/author_attestation","sign_citation":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7/action/citation_signature","submit_replication":"https://pith.science/pith/CLN2MLTAZJU5FCSL3KZVTSDZD7/action/replication_record"}},"created_at":"2026-07-04T23:51:25.693648+00:00","updated_at":"2026-07-04T23:51:25.693648+00:00"}