{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2DNFVDRUOEATJH2CJVKKM4XAZI","short_pith_number":"pith:2DNFVDRU","schema_version":"1.0","canonical_sha256":"d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382","source":{"kind":"arxiv","id":"1112.1453","version":2},"attestation_state":"computed","paper":{"title":"The Vlasov-Poisson-Boltzmann System for Soft Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huijiang Zhao, Renjun Duan, Tong Yang","submitted_at":"2011-12-07T01:35:57Z","abstract_excerpt":"An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force. This paper is concerned with the electron dynamics of kinetic plasmas in the whole space when the positive charged ion flow provides a spatially uniform background. We establish the global existence and optimal convergence rates of solutions near a global Maxwellian to the Cauchy problem on the Vlasov-Poisson-Boltzmann system for angular cutoff soft potenti"},"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":"1112.1453","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-07T01:35:57Z","cross_cats_sorted":[],"title_canon_sha256":"fb18fbb3e5cc52c1ecebf5d78ab614a6d0012c0d3c503a11ffe402c0eb40dcec","abstract_canon_sha256":"0822d704f25f39c212fdbdaad29881af076ad6452d3b1e6307c3b4ef630ab176"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:49.206990Z","signature_b64":"h20qqlVK5ixj3gBsk5tcuTaU3UKv6thfMhSoADmzREl5n1KSYfYWDpUij7Y42wHqGwBAKTWxDdrzHjgotvcFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382","last_reissued_at":"2026-05-18T03:59:49.206498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:49.206498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Vlasov-Poisson-Boltzmann System for Soft Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huijiang Zhao, Renjun Duan, Tong Yang","submitted_at":"2011-12-07T01:35:57Z","abstract_excerpt":"An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force. This paper is concerned with the electron dynamics of kinetic plasmas in the whole space when the positive charged ion flow provides a spatially uniform background. We establish the global existence and optimal convergence rates of solutions near a global Maxwellian to the Cauchy problem on the Vlasov-Poisson-Boltzmann system for angular cutoff soft potenti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1453","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":""},"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":"1112.1453","created_at":"2026-05-18T03:59:49.206586+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.1453v2","created_at":"2026-05-18T03:59:49.206586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1453","created_at":"2026-05-18T03:59:49.206586+00:00"},{"alias_kind":"pith_short_12","alias_value":"2DNFVDRUOEAT","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2DNFVDRUOEATJH2C","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2DNFVDRU","created_at":"2026-05-18T12:26:18.847500+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/2DNFVDRUOEATJH2CJVKKM4XAZI","json":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI.json","graph_json":"https://pith.science/api/pith-number/2DNFVDRUOEATJH2CJVKKM4XAZI/graph.json","events_json":"https://pith.science/api/pith-number/2DNFVDRUOEATJH2CJVKKM4XAZI/events.json","paper":"https://pith.science/paper/2DNFVDRU"},"agent_actions":{"view_html":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI","download_json":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI.json","view_paper":"https://pith.science/paper/2DNFVDRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.1453&json=true","fetch_graph":"https://pith.science/api/pith-number/2DNFVDRUOEATJH2CJVKKM4XAZI/graph.json","fetch_events":"https://pith.science/api/pith-number/2DNFVDRUOEATJH2CJVKKM4XAZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI/action/storage_attestation","attest_author":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI/action/author_attestation","sign_citation":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI/action/citation_signature","submit_replication":"https://pith.science/pith/2DNFVDRUOEATJH2CJVKKM4XAZI/action/replication_record"}},"created_at":"2026-05-18T03:59:49.206586+00:00","updated_at":"2026-05-18T03:59:49.206586+00:00"}