{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:6FRSBOHXDCXLWF2HODGDDI47VP","short_pith_number":"pith:6FRSBOHX","schema_version":"1.0","canonical_sha256":"f16320b8f718aebb174770cc31a39fabe73aad411998bd3c7f439a2346a8f7c2","source":{"kind":"arxiv","id":"2412.06525","version":1},"attestation_state":"computed","paper":{"title":"A split-step Active Flux method for the Vlasov-Poisson system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.plasm-ph"],"primary_cat":"math.NA","authors_text":"Gudrun Gr\\\"unwald, Katharina Kormann, Lukas Hensel, Rainer Grauer","submitted_at":"2024-12-09T14:28:36Z","abstract_excerpt":"Active Flux is a modified Finite Volume method that evolves additional Degrees of Freedom for each cell that are located on the interface by a non-conservative method to compute high-order approximations to the numerical fluxes through the respective interface to evolve the cell-average in a conservative way. In this paper, we apply the method to the Vlasov-Poisson system describing the time evolution of the time-dependent distribution function of a collisionless plasma. In particular, we consider the evaluation of the flux integrals in higher dimensions. We propose a dimensional splitting and"},"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":"2412.06525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-12-09T14:28:36Z","cross_cats_sorted":["cs.NA","physics.plasm-ph"],"title_canon_sha256":"1f057bc6badfa847cc399e09912e15657211cc35700f2d3495a9af5ecc149324","abstract_canon_sha256":"76e223cde97d9aa8217aac38d0add5ad32c56fe58ab2e84814652fbb24e1dfc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:33.504468Z","signature_b64":"6EWRQrjCm5Ypbt6jrS38Mhma42BKQpOeV6X8ehLb+kVuCYaiGxkbfrHa0GGlY6vcVcGhl3SY5BVxRwYhjneRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f16320b8f718aebb174770cc31a39fabe73aad411998bd3c7f439a2346a8f7c2","last_reissued_at":"2026-07-05T09:46:33.503941Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:33.503941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A split-step Active Flux method for the Vlasov-Poisson system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.plasm-ph"],"primary_cat":"math.NA","authors_text":"Gudrun Gr\\\"unwald, Katharina Kormann, Lukas Hensel, Rainer Grauer","submitted_at":"2024-12-09T14:28:36Z","abstract_excerpt":"Active Flux is a modified Finite Volume method that evolves additional Degrees of Freedom for each cell that are located on the interface by a non-conservative method to compute high-order approximations to the numerical fluxes through the respective interface to evolve the cell-average in a conservative way. In this paper, we apply the method to the Vlasov-Poisson system describing the time evolution of the time-dependent distribution function of a collisionless plasma. In particular, we consider the evaluation of the flux integrals in higher dimensions. We propose a dimensional splitting and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06525","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/2412.06525/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":"2412.06525","created_at":"2026-07-05T09:46:33.503993+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.06525v1","created_at":"2026-07-05T09:46:33.503993+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06525","created_at":"2026-07-05T09:46:33.503993+00:00"},{"alias_kind":"pith_short_12","alias_value":"6FRSBOHXDCXL","created_at":"2026-07-05T09:46:33.503993+00:00"},{"alias_kind":"pith_short_16","alias_value":"6FRSBOHXDCXLWF2H","created_at":"2026-07-05T09:46:33.503993+00:00"},{"alias_kind":"pith_short_8","alias_value":"6FRSBOHX","created_at":"2026-07-05T09:46:33.503993+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/6FRSBOHXDCXLWF2HODGDDI47VP","json":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP.json","graph_json":"https://pith.science/api/pith-number/6FRSBOHXDCXLWF2HODGDDI47VP/graph.json","events_json":"https://pith.science/api/pith-number/6FRSBOHXDCXLWF2HODGDDI47VP/events.json","paper":"https://pith.science/paper/6FRSBOHX"},"agent_actions":{"view_html":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP","download_json":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP.json","view_paper":"https://pith.science/paper/6FRSBOHX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.06525&json=true","fetch_graph":"https://pith.science/api/pith-number/6FRSBOHXDCXLWF2HODGDDI47VP/graph.json","fetch_events":"https://pith.science/api/pith-number/6FRSBOHXDCXLWF2HODGDDI47VP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP/action/storage_attestation","attest_author":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP/action/author_attestation","sign_citation":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP/action/citation_signature","submit_replication":"https://pith.science/pith/6FRSBOHXDCXLWF2HODGDDI47VP/action/replication_record"}},"created_at":"2026-07-05T09:46:33.503993+00:00","updated_at":"2026-07-05T09:46:33.503993+00:00"}