{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:M332G3LEEAVZFPVUWUX64AMZAD","short_pith_number":"pith:M332G3LE","schema_version":"1.0","canonical_sha256":"66f7a36d64202b92beb4b52fee019900f5b6582ba281496349d89203281f2e68","source":{"kind":"arxiv","id":"2306.15478","version":2},"attestation_state":"computed","paper":{"title":"Robust Finite Elements for linearized Magnetohydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"F. Dassi, G. Vacca, L. Beir\\~ao da Veiga","submitted_at":"2023-06-27T13:55:57Z","abstract_excerpt":"We introduce a pressure robust Finite Element Method for the linearized Magnetohydrodynamics equations in three space dimensions, which is provably quasi-robust also in the presence of high fluid and magnetic Reynolds numbers. The proposed scheme uses a non-conforming BDM approach with suitable DG terms for the fluid part, combined with an $H^1$-conforming choice for the magnetic fluxes. The method introduces also a specific CIP-type stabilization associated to the coupling terms. Finally, the theoretical result are further validated by numerical experiments."},"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":"2306.15478","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-06-27T13:55:57Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"3ca46c87fa7ab2e5836c4ef059c40c2b1232712f3981e54b01fce85de3e164c5","abstract_canon_sha256":"20f959cc6a17e0b1c7d1fc70883e24b9ace20bc2456739abe8fa90e9495663f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:29:27.213681Z","signature_b64":"33wDIuJJzinqtMqo0gp0qpRq2OjPmAFrcgNZKnEQ8gff3Ork7SX4AC8ZmiHkgsydOSsF4ABZvuntpx+8lzq7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66f7a36d64202b92beb4b52fee019900f5b6582ba281496349d89203281f2e68","last_reissued_at":"2026-07-05T07:29:27.213245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:29:27.213245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Finite Elements for linearized Magnetohydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"F. Dassi, G. Vacca, L. Beir\\~ao da Veiga","submitted_at":"2023-06-27T13:55:57Z","abstract_excerpt":"We introduce a pressure robust Finite Element Method for the linearized Magnetohydrodynamics equations in three space dimensions, which is provably quasi-robust also in the presence of high fluid and magnetic Reynolds numbers. The proposed scheme uses a non-conforming BDM approach with suitable DG terms for the fluid part, combined with an $H^1$-conforming choice for the magnetic fluxes. The method introduces also a specific CIP-type stabilization associated to the coupling terms. Finally, the theoretical result are further validated by numerical experiments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.15478","kind":"arxiv","version":2},"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/2306.15478/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":"2306.15478","created_at":"2026-07-05T07:29:27.213303+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.15478v2","created_at":"2026-07-05T07:29:27.213303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.15478","created_at":"2026-07-05T07:29:27.213303+00:00"},{"alias_kind":"pith_short_12","alias_value":"M332G3LEEAVZ","created_at":"2026-07-05T07:29:27.213303+00:00"},{"alias_kind":"pith_short_16","alias_value":"M332G3LEEAVZFPVU","created_at":"2026-07-05T07:29:27.213303+00:00"},{"alias_kind":"pith_short_8","alias_value":"M332G3LE","created_at":"2026-07-05T07:29:27.213303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.06685","citing_title":"A robust finite element method for linearized magnetohydrodynamics on general domains","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD","json":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD.json","graph_json":"https://pith.science/api/pith-number/M332G3LEEAVZFPVUWUX64AMZAD/graph.json","events_json":"https://pith.science/api/pith-number/M332G3LEEAVZFPVUWUX64AMZAD/events.json","paper":"https://pith.science/paper/M332G3LE"},"agent_actions":{"view_html":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD","download_json":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD.json","view_paper":"https://pith.science/paper/M332G3LE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.15478&json=true","fetch_graph":"https://pith.science/api/pith-number/M332G3LEEAVZFPVUWUX64AMZAD/graph.json","fetch_events":"https://pith.science/api/pith-number/M332G3LEEAVZFPVUWUX64AMZAD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD/action/storage_attestation","attest_author":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD/action/author_attestation","sign_citation":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD/action/citation_signature","submit_replication":"https://pith.science/pith/M332G3LEEAVZFPVUWUX64AMZAD/action/replication_record"}},"created_at":"2026-07-05T07:29:27.213303+00:00","updated_at":"2026-07-05T07:29:27.213303+00:00"}