{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2DNFVDRUOEATJH2CJVKKM4XAZI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0822d704f25f39c212fdbdaad29881af076ad6452d3b1e6307c3b4ef630ab176","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-07T01:35:57Z","title_canon_sha256":"fb18fbb3e5cc52c1ecebf5d78ab614a6d0012c0d3c503a11ffe402c0eb40dcec"},"schema_version":"1.0","source":{"id":"1112.1453","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1453","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1453v2","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1453","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"2DNFVDRUOEAT","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2DNFVDRUOEATJH2C","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2DNFVDRU","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:bf8950099bde40239c03f182b7ba5cf19d1fd7ee1bce5bf2797387803cd3867f","target":"graph","created_at":"2026-05-18T03:59:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Huijiang Zhao, Renjun Duan, Tong Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-07T01:35:57Z","title":"The Vlasov-Poisson-Boltzmann System for Soft Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1453","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ea78080dd88ed3c41a0179593ec6248464fda81702b844827355cadbed78b506","target":"record","created_at":"2026-05-18T03:59:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0822d704f25f39c212fdbdaad29881af076ad6452d3b1e6307c3b4ef630ab176","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-07T01:35:57Z","title_canon_sha256":"fb18fbb3e5cc52c1ecebf5d78ab614a6d0012c0d3c503a11ffe402c0eb40dcec"},"schema_version":"1.0","source":{"id":"1112.1453","kind":"arxiv","version":2}},"canonical_sha256":"d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382","first_computed_at":"2026-05-18T03:59:49.206498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:49.206498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h20qqlVK5ixj3gBsk5tcuTaU3UKv6thfMhSoADmzREl5n1KSYfYWDpUij7Y42wHqGwBAKTWxDdrzHjgotvcFAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:49.206990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1453","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea78080dd88ed3c41a0179593ec6248464fda81702b844827355cadbed78b506","sha256:bf8950099bde40239c03f182b7ba5cf19d1fd7ee1bce5bf2797387803cd3867f"],"state_sha256":"da2951120a6145683a1e0d97e13b78bc20e21945a197673406b7f632e451f3e5"}