{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:W7RUQYSDIRUET4EHG42DIJ3BJX","short_pith_number":"pith:W7RUQYSD","schema_version":"1.0","canonical_sha256":"b7e3486243446849f08737343427614dd0f67331255af7809d4733d45b945e76","source":{"kind":"arxiv","id":"1907.05319","version":1},"attestation_state":"computed","paper":{"title":"Splitting methods for Fourier spectral discretizations of the strongly magnetized Vlasov-Poisson and the Vlasov-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Jakob Ameres","submitted_at":"2019-07-11T15:44:47Z","abstract_excerpt":"Fourier spectral discretizations belong to the most straightforward methods for solving the unmagnetized Vlasov--Poisson system in low dimensions. In this article, this highly accurate approach is extended two the four-dimensional magnetized Vlasov--Poisson system with new splitting methods suited for strong magnetic fields. Consequently, a comparison to the asymptotic fluid model is provided at the example of a turbulent Kelvin--Helmholtz instability. For the three dimensional electromagnetic Vlasov--Maxwell system different novel charge conserving implementations of a Hamiltonian splitting a"},"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":"1907.05319","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-07-11T15:44:47Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"a4a7757841e910b2f79238fc4b3b7b08be77597a304dd8e8638a9b6158f27424","abstract_canon_sha256":"88b549bc513680306bc7db02eb0bf1b0094b96b0e12d381e48d6648f3b3b2809"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:50.754471Z","signature_b64":"WrFi7/gSUlb3elufuicgm3exO/4My3pqOn3uaeMQ4/qlKk4m6KiYfxnWNNM+dWu+PXethmXAOrsjUR7s0d4PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7e3486243446849f08737343427614dd0f67331255af7809d4733d45b945e76","last_reissued_at":"2026-05-17T23:40:50.753809Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:50.753809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Splitting methods for Fourier spectral discretizations of the strongly magnetized Vlasov-Poisson and the Vlasov-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Jakob Ameres","submitted_at":"2019-07-11T15:44:47Z","abstract_excerpt":"Fourier spectral discretizations belong to the most straightforward methods for solving the unmagnetized Vlasov--Poisson system in low dimensions. In this article, this highly accurate approach is extended two the four-dimensional magnetized Vlasov--Poisson system with new splitting methods suited for strong magnetic fields. Consequently, a comparison to the asymptotic fluid model is provided at the example of a turbulent Kelvin--Helmholtz instability. For the three dimensional electromagnetic Vlasov--Maxwell system different novel charge conserving implementations of a Hamiltonian splitting a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05319","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":""},"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":"1907.05319","created_at":"2026-05-17T23:40:50.753900+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.05319v1","created_at":"2026-05-17T23:40:50.753900+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05319","created_at":"2026-05-17T23:40:50.753900+00:00"},{"alias_kind":"pith_short_12","alias_value":"W7RUQYSDIRUE","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"W7RUQYSDIRUET4EH","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"W7RUQYSD","created_at":"2026-05-18T12:33:30.264802+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/W7RUQYSDIRUET4EHG42DIJ3BJX","json":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX.json","graph_json":"https://pith.science/api/pith-number/W7RUQYSDIRUET4EHG42DIJ3BJX/graph.json","events_json":"https://pith.science/api/pith-number/W7RUQYSDIRUET4EHG42DIJ3BJX/events.json","paper":"https://pith.science/paper/W7RUQYSD"},"agent_actions":{"view_html":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX","download_json":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX.json","view_paper":"https://pith.science/paper/W7RUQYSD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.05319&json=true","fetch_graph":"https://pith.science/api/pith-number/W7RUQYSDIRUET4EHG42DIJ3BJX/graph.json","fetch_events":"https://pith.science/api/pith-number/W7RUQYSDIRUET4EHG42DIJ3BJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX/action/storage_attestation","attest_author":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX/action/author_attestation","sign_citation":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX/action/citation_signature","submit_replication":"https://pith.science/pith/W7RUQYSDIRUET4EHG42DIJ3BJX/action/replication_record"}},"created_at":"2026-05-17T23:40:50.753900+00:00","updated_at":"2026-05-17T23:40:50.753900+00:00"}