{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TCMJEF4DGKX32P5OZ7TLPYJDZT","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":"09b06126cd96daca08d35cb197acba062b80846cb15060dbd36bef1b5ef552a9","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-06-05T02:22:22Z","title_canon_sha256":"a96de8dacae882c96903974361e459bbc6d1c8a72074d3bf5e70b8797fc90e88"},"schema_version":"1.0","source":{"id":"2406.02861","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.02861","created_at":"2026-07-05T08:27:31Z"},{"alias_kind":"arxiv_version","alias_value":"2406.02861v1","created_at":"2026-07-05T08:27:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.02861","created_at":"2026-07-05T08:27:31Z"},{"alias_kind":"pith_short_12","alias_value":"TCMJEF4DGKX3","created_at":"2026-07-05T08:27:31Z"},{"alias_kind":"pith_short_16","alias_value":"TCMJEF4DGKX32P5O","created_at":"2026-07-05T08:27:31Z"},{"alias_kind":"pith_short_8","alias_value":"TCMJEF4D","created_at":"2026-07-05T08:27:31Z"}],"graph_snapshots":[{"event_id":"sha256:7f477ac54c23f2d6fe8a86cfe0c590cc03e63b4f35c003a0756b802573f7e24b","target":"graph","created_at":"2026-07-05T08:27:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.02861/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Diffusive limit of the one-species Vlasov-Maxwell-Boltzmann system in perturbation framework still remains unsolved, due to the weaker time decay rate compared with the two-species Vlasov-Maxwell-Boltzmann system. By employing the weighted energy method with two newly introduced weight functions and some novel treatments, we solve this problem for the full range of cutoff hard potentials $0\\leq \\gamma \\leq 1$. Uniform estimate with respect to the Knudsen number $\\varepsilon\\in (0,1]$ is established globally in time, which eventually leads to the global existence of solutions to the one-species","authors_text":"Fujun Zhou, Weihua Gong, Weijun Wu, Yuan Xu","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-06-05T02:22:22Z","title":"Diffusive Limit of the One-species Vlasov-Maxwell-Boltzmann System for Cutoff Hard Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.02861","kind":"arxiv","version":1},"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":"sha256:3c15c205f29eec11974e73eb45aa831f2221570b6b49fe136ac241d6d759abb1","target":"record","created_at":"2026-07-05T08:27:31Z","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":"09b06126cd96daca08d35cb197acba062b80846cb15060dbd36bef1b5ef552a9","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-06-05T02:22:22Z","title_canon_sha256":"a96de8dacae882c96903974361e459bbc6d1c8a72074d3bf5e70b8797fc90e88"},"schema_version":"1.0","source":{"id":"2406.02861","kind":"arxiv","version":1}},"canonical_sha256":"989892178332afbd3faecfe6b7e123cce3b838245dbeded1bf198a1117b5d72d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"989892178332afbd3faecfe6b7e123cce3b838245dbeded1bf198a1117b5d72d","first_computed_at":"2026-07-05T08:27:31.339238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:27:31.339238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LLw/cBfUMrWswFK1y+m93sqU1PaBwosJHLbv/j5E56tS4b7FmZdntgdQ/eu5BwGdthhJnfKs6RmoNXRo0PLvAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:27:31.339866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.02861","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c15c205f29eec11974e73eb45aa831f2221570b6b49fe136ac241d6d759abb1","sha256:7f477ac54c23f2d6fe8a86cfe0c590cc03e63b4f35c003a0756b802573f7e24b"],"state_sha256":"a198f69d3a5ee5d08a62ff2d9895cf17c9e82620b0808f8316b85892ee056202"}