{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:T535FC2WPJVNIERN6QLUTXKG6Y","short_pith_number":"pith:T535FC2W","schema_version":"1.0","canonical_sha256":"9f77d28b567a6ad4122df41749dd46f639983e31d7f87463d887afa685487327","source":{"kind":"arxiv","id":"1510.01841","version":1},"attestation_state":"computed","paper":{"title":"High-order Hamiltonian splitting for Vlasov-Poisson equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Erwan Faou (IRMAR, Fernando Casas (IMAC), IPP, IPSO), Irma), Michel Mehrenberger (TONUS, Nicolas Crouseilles (IRMAR","submitted_at":"2015-10-07T06:55:25Z","abstract_excerpt":"We consider the Vlasov-Poisson equation in a Hamiltonian framework and derive new time splitting methods based on the decomposition of the Hamiltonian functional between the kinetic and electric energy. Assuming smoothness of the solutions, we study the order conditions of such methods. It appears that these conditions are of  Runge-Kutta-Nystr{\\\"o}m type. In the one dimensional case, the order conditions can be further simplified, and efficient methods of order 6 with a reduced number of stages can be constructed. In the general case, high-order methods can also be constructed using explicit "},"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":"1510.01841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-07T06:55:25Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"226ecf3a977cedf9bd06a38f7810607631b4c174eb50a3da3f02c6db34615c61","abstract_canon_sha256":"28221ba06ce5d2e957281121ca58442f279208f5119948dcbc745d40498e4901"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:50.250658Z","signature_b64":"jlOorGI+44pqvau62INsXxJHGDDHOzJSIqSrNCA0FJmawtqrArcLY60CArhjrACXux4diawDIjiwszD5/0k3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f77d28b567a6ad4122df41749dd46f639983e31d7f87463d887afa685487327","last_reissued_at":"2026-05-18T01:30:50.250050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:50.250050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"High-order Hamiltonian splitting for Vlasov-Poisson equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Erwan Faou (IRMAR, Fernando Casas (IMAC), IPP, IPSO), Irma), Michel Mehrenberger (TONUS, Nicolas Crouseilles (IRMAR","submitted_at":"2015-10-07T06:55:25Z","abstract_excerpt":"We consider the Vlasov-Poisson equation in a Hamiltonian framework and derive new time splitting methods based on the decomposition of the Hamiltonian functional between the kinetic and electric energy. Assuming smoothness of the solutions, we study the order conditions of such methods. It appears that these conditions are of  Runge-Kutta-Nystr{\\\"o}m type. In the one dimensional case, the order conditions can be further simplified, and efficient methods of order 6 with a reduced number of stages can be constructed. In the general case, high-order methods can also be constructed using explicit "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01841","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":"1510.01841","created_at":"2026-05-18T01:30:50.250158+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.01841v1","created_at":"2026-05-18T01:30:50.250158+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01841","created_at":"2026-05-18T01:30:50.250158+00:00"},{"alias_kind":"pith_short_12","alias_value":"T535FC2WPJVN","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"T535FC2WPJVNIERN","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"T535FC2W","created_at":"2026-05-18T12:29:42.218222+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/T535FC2WPJVNIERN6QLUTXKG6Y","json":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y.json","graph_json":"https://pith.science/api/pith-number/T535FC2WPJVNIERN6QLUTXKG6Y/graph.json","events_json":"https://pith.science/api/pith-number/T535FC2WPJVNIERN6QLUTXKG6Y/events.json","paper":"https://pith.science/paper/T535FC2W"},"agent_actions":{"view_html":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y","download_json":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y.json","view_paper":"https://pith.science/paper/T535FC2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.01841&json=true","fetch_graph":"https://pith.science/api/pith-number/T535FC2WPJVNIERN6QLUTXKG6Y/graph.json","fetch_events":"https://pith.science/api/pith-number/T535FC2WPJVNIERN6QLUTXKG6Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y/action/storage_attestation","attest_author":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y/action/author_attestation","sign_citation":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y/action/citation_signature","submit_replication":"https://pith.science/pith/T535FC2WPJVNIERN6QLUTXKG6Y/action/replication_record"}},"created_at":"2026-05-18T01:30:50.250158+00:00","updated_at":"2026-05-18T01:30:50.250158+00:00"}