{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CQ4O2ICAMMWA5Z7ZT552EYFWL5","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":"56b13e585b49d3a68e8f2f43b8b8d640176a98b7f3f3330478a77854e01561c9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-07T16:38:02Z","title_canon_sha256":"f62b7ba86974edf7c669f4b7d94c2dbf58b496d1cbaa2b692943f69d3d5d8649"},"schema_version":"1.0","source":{"id":"2405.04473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.04473","created_at":"2026-07-05T08:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"2405.04473v1","created_at":"2026-07-05T08:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.04473","created_at":"2026-07-05T08:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"CQ4O2ICAMMWA","created_at":"2026-07-05T08:16:37Z"},{"alias_kind":"pith_short_16","alias_value":"CQ4O2ICAMMWA5Z7Z","created_at":"2026-07-05T08:16:37Z"},{"alias_kind":"pith_short_8","alias_value":"CQ4O2ICA","created_at":"2026-07-05T08:16:37Z"}],"graph_snapshots":[{"event_id":"sha256:ad14c8329ec971e32586ff4cb2f8ed3e0735d71f8e9617dee6ce9215e37dc04c","target":"graph","created_at":"2026-07-05T08:16:37Z","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/2405.04473/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for solutions of the confined Vlasov-Poisson system on $\\T^d\\times\\R^d$ which are small perturbations of homogeneous Penrose-stable equilibria.\n  We also prove the existence of nonlinear scattering operators associated to the confined Vlasov-Poisson evolution, as well as suitable injectivity properties and Lipschitz estimates (also in weighted Gevrey-3 spaces) on these operators.\n  Our results give definitive answers to two well-known open problems in the field, both of them stated in the recent review of Bedrossian  [4, Sec","authors_text":"A. D. Ionescu, B. Pausader, K. Widmayer, X. Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-07T16:38:02Z","title":"Nonlinear Landau damping and wave operators in sharp Gevrey spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.04473","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":"sha256:5743faf27386a477c4b3bedc9fb85fece4c2ae746737435f230b5ae6abac8f97","target":"record","created_at":"2026-07-05T08:16:37Z","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":"56b13e585b49d3a68e8f2f43b8b8d640176a98b7f3f3330478a77854e01561c9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-07T16:38:02Z","title_canon_sha256":"f62b7ba86974edf7c669f4b7d94c2dbf58b496d1cbaa2b692943f69d3d5d8649"},"schema_version":"1.0","source":{"id":"2405.04473","kind":"arxiv","version":1}},"canonical_sha256":"1438ed2040632c0ee7f99f7ba260b65f525ebc1d2f6dc055477472ba53768407","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1438ed2040632c0ee7f99f7ba260b65f525ebc1d2f6dc055477472ba53768407","first_computed_at":"2026-07-05T08:16:37.482128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:37.482128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMGdYRvkd4/DFnOISt8ktx1M07SK3e9/LJgqQ1TG6EeQAEVt4TGbuoZZ9hyIZe0OwsQKOb8KMMz474oOJqePBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:37.482621Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.04473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5743faf27386a477c4b3bedc9fb85fece4c2ae746737435f230b5ae6abac8f97","sha256:ad14c8329ec971e32586ff4cb2f8ed3e0735d71f8e9617dee6ce9215e37dc04c"],"state_sha256":"0f6aa0df4418cfd383e055371420a005061e6874ad6c13f60f47026c6b2ec25f"}