{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TMQIAD7GF4UN2BW2SG7WQHY6D2","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":"46014884e58f2696d4e00788a9ded60529ed8b649373380ca24c079749c6650d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-14T15:03:51Z","title_canon_sha256":"8681b5d0935b21b3befa47400debf74259cf1146a64d424d3726af58687eb355"},"schema_version":"1.0","source":{"id":"1209.3212","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3212","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3212v1","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3212","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"TMQIAD7GF4UN","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TMQIAD7GF4UN2BW2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TMQIAD7G","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:33c74360c2a52f309c3f8f42019abd9650719a8e49ea843853a775d7db81c317","target":"graph","created_at":"2026-05-18T01:54:29Z","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":"We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-De Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.","authors_text":"Daniel Han-Kwan (DMA)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-14T15:03:51Z","title":"From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3212","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:c9514edf1a5357ef0116b8815d75c4864113b3d133cfb22f5a612a9e39378ce9","target":"record","created_at":"2026-05-18T01:54:29Z","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":"46014884e58f2696d4e00788a9ded60529ed8b649373380ca24c079749c6650d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-14T15:03:51Z","title_canon_sha256":"8681b5d0935b21b3befa47400debf74259cf1146a64d424d3726af58687eb355"},"schema_version":"1.0","source":{"id":"1209.3212","kind":"arxiv","version":1}},"canonical_sha256":"9b20800fe62f28dd06da91bf681f1e1ebaa40b00b7a182c2138b538fddef8be7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b20800fe62f28dd06da91bf681f1e1ebaa40b00b7a182c2138b538fddef8be7","first_computed_at":"2026-05-18T01:54:29.037775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:29.037775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g53G9DaElg2JwoSOhjwLymQWlhIqaDCYq/p0PxCL3kMR/rRFnFWvIE4NIGq6S/nM4aaBLPinppGCiQgyvDdpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:29.038423Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3212","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9514edf1a5357ef0116b8815d75c4864113b3d133cfb22f5a612a9e39378ce9","sha256:33c74360c2a52f309c3f8f42019abd9650719a8e49ea843853a775d7db81c317"],"state_sha256":"1822657704a7369d69e6e80db02fe83b9912d67c65d4afdf5e4f496048af4b83"}