{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:LRQAZNULEXAD6JW7I7YLYPWNXY","short_pith_number":"pith:LRQAZNUL","schema_version":"1.0","canonical_sha256":"5c600cb68b25c03f26df47f0bc3ecdbe23cca78dc3765b7c50468f362a649b8a","source":{"kind":"arxiv","id":"2502.20680","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic-preserving particle-in-cell method for the magnetized Vlasov--Poisson--Fokker--Planck equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Anjiao Gu, Xiaojiang Zhang","submitted_at":"2025-02-28T03:15:28Z","abstract_excerpt":"In this work, we develop and rigorously analyze a new class of particle methods for the magnetized Vlasov--Poisson--Fokker--Planck system. The proposed approach addresses two fundamental challenges: (1) the curse of dimensionality, which we mitigate through particle methods while preserving the system's asymptotic properties, and (2) the temporal step size limitation imposed by the small Larmor radius in strong magnetic fields, which we overcome through semi-implicit discretization schemes. We establish the theoretical foundations of our method, proving its asymptotic-preserving characteristic"},"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":"2502.20680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-02-28T03:15:28Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4c6b8c2bd8c87ee4212c7aea01e02498f1fec48b14be30321f643d7fb5e0840a","abstract_canon_sha256":"93da14c3de07abbc79c5e261dbf4f0cbd116670bd258dbda2ab8d492ce059596"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:37.556881Z","signature_b64":"FbMErUIGw2Lu1UceTuyjrL7aXTWpNr2Vi76yDeuDN38v1uIdD+72PpC5j4+UqYRnOM0rb+DWjBB7vdDfEMuODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c600cb68b25c03f26df47f0bc3ecdbe23cca78dc3765b7c50468f362a649b8a","last_reissued_at":"2026-07-05T10:21:37.556373Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:37.556373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic-preserving particle-in-cell method for the magnetized Vlasov--Poisson--Fokker--Planck equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Anjiao Gu, Xiaojiang Zhang","submitted_at":"2025-02-28T03:15:28Z","abstract_excerpt":"In this work, we develop and rigorously analyze a new class of particle methods for the magnetized Vlasov--Poisson--Fokker--Planck system. The proposed approach addresses two fundamental challenges: (1) the curse of dimensionality, which we mitigate through particle methods while preserving the system's asymptotic properties, and (2) the temporal step size limitation imposed by the small Larmor radius in strong magnetic fields, which we overcome through semi-implicit discretization schemes. We establish the theoretical foundations of our method, proving its asymptotic-preserving characteristic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.20680","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/2502.20680/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":"2502.20680","created_at":"2026-07-05T10:21:37.556448+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.20680v1","created_at":"2026-07-05T10:21:37.556448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.20680","created_at":"2026-07-05T10:21:37.556448+00:00"},{"alias_kind":"pith_short_12","alias_value":"LRQAZNULEXAD","created_at":"2026-07-05T10:21:37.556448+00:00"},{"alias_kind":"pith_short_16","alias_value":"LRQAZNULEXAD6JW7","created_at":"2026-07-05T10:21:37.556448+00:00"},{"alias_kind":"pith_short_8","alias_value":"LRQAZNUL","created_at":"2026-07-05T10:21:37.556448+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/LRQAZNULEXAD6JW7I7YLYPWNXY","json":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY.json","graph_json":"https://pith.science/api/pith-number/LRQAZNULEXAD6JW7I7YLYPWNXY/graph.json","events_json":"https://pith.science/api/pith-number/LRQAZNULEXAD6JW7I7YLYPWNXY/events.json","paper":"https://pith.science/paper/LRQAZNUL"},"agent_actions":{"view_html":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY","download_json":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY.json","view_paper":"https://pith.science/paper/LRQAZNUL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.20680&json=true","fetch_graph":"https://pith.science/api/pith-number/LRQAZNULEXAD6JW7I7YLYPWNXY/graph.json","fetch_events":"https://pith.science/api/pith-number/LRQAZNULEXAD6JW7I7YLYPWNXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY/action/storage_attestation","attest_author":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY/action/author_attestation","sign_citation":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY/action/citation_signature","submit_replication":"https://pith.science/pith/LRQAZNULEXAD6JW7I7YLYPWNXY/action/replication_record"}},"created_at":"2026-07-05T10:21:37.556448+00:00","updated_at":"2026-07-05T10:21:37.556448+00:00"}