{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:U7VQXPRHYWPUSAVQHLPADUBDQG","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":"12544ec2659e39cf1e6cd12c6271ae49183987eb49c5f9c3f51f49ff4de9140a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-18T15:50:49Z","title_canon_sha256":"48748aca94d64b3586eb45ca3e0c62bee220d28f481e90adaf90f8fba20a6554"},"schema_version":"1.0","source":{"id":"1109.3882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3882","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3882v2","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3882","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"U7VQXPRHYWPU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U7VQXPRHYWPUSAVQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U7VQXPRH","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:a4b64649edae24363c4032128ed5272d7478210de2f50c64e456032a0b422704","target":"graph","created_at":"2026-05-18T04:12:44Z","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":"The Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. By using the dispersive Klein-Gordon effect, Guo \\cite{Guo98} first constructed a global smooth irrotational solution in the three dimensional case. It has been conjectured that same results should hold in the two-dimensional case. The main difficulty in 2D comes from the slow dispersion of the linear flow and certain nonlocal resonant obstructions in the nonlinearity.\n  In this paper we develop a new method to overcome these diffic","authors_text":"Dong Li, Juhi Jang, Xiaoyi Zhang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-18T15:50:49Z","title":"Smooth global solutions for the two dimensional Euler Poisson system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3882","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":"sha256:5a129d10699e4b2788a337c651a3fe61e41f743eeb4c6cddc38f5ec7d3b833d0","target":"record","created_at":"2026-05-18T04:12:44Z","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":"12544ec2659e39cf1e6cd12c6271ae49183987eb49c5f9c3f51f49ff4de9140a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-09-18T15:50:49Z","title_canon_sha256":"48748aca94d64b3586eb45ca3e0c62bee220d28f481e90adaf90f8fba20a6554"},"schema_version":"1.0","source":{"id":"1109.3882","kind":"arxiv","version":2}},"canonical_sha256":"a7eb0bbe27c59f4902b03ade01d0238185068a5484bc1a651b225587abf66373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7eb0bbe27c59f4902b03ade01d0238185068a5484bc1a651b225587abf66373","first_computed_at":"2026-05-18T04:12:44.098434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:44.098434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9Cai5mDO17eBOCp2vcU+hBkNW6x0U8ALdiD6YABYCCdIo/sQPGVdgPcFokfwk9HP6KFfPbEDpgmc/bnBzfrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:44.099090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a129d10699e4b2788a337c651a3fe61e41f743eeb4c6cddc38f5ec7d3b833d0","sha256:a4b64649edae24363c4032128ed5272d7478210de2f50c64e456032a0b422704"],"state_sha256":"02b991a7bf23003cf18d4894ab5b92dfc2039e01f059b745d35a9c3266503bfd"}