{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7STBCU623JGXKB2HBZ3YM5JWPT","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":"2406715f52e54d946721b10a76f1a7fdd59730b06dfe324e98c23c13d9cc2677","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-11T19:52:30Z","title_canon_sha256":"7cb6f8ad6b0ed1cde22a455861ace252852b8e0d8928db0fdea5f56d9f572cd3"},"schema_version":"1.0","source":{"id":"1610.03478","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03478","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03478v2","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03478","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"7STBCU623JGX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7STBCU623JGXKB2H","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7STBCU62","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:a32c867a9df675993bfd8920d34100758719d202ad348bc683a0fd11afd4989b","target":"graph","created_at":"2026-05-18T00:38:21Z","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 genus-1 KP-Whitham system is derived for both variants of the Kadomtsev-Petviashvili (KP) equation (namely, the KPI and KPII equations). The basic properties of the KP-Whitham system, including symmetries, exact reductions, and its possible complete integrability, together with the appropriate generalization of the one-dimensional Riemann problem for the Korteweg-deVries equation are discussed. Finally, the KP-Whitham system is used to study the linear stability properties of the genus-1 solutions of the KPI and KPII equations; it is shown that all genus-1 solutions of KPI are linearly uns","authors_text":"Gino Biondini, Mark J. Ablowitz, Qiao Wang","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-11T19:52:30Z","title":"Whitham modulation theory for the Kadomtsev-Petviashvili equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03478","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:e7428e4656d9c24f69430dd4d516b649d6f6c0566a5e966ee314dfcf69e85816","target":"record","created_at":"2026-05-18T00:38:21Z","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":"2406715f52e54d946721b10a76f1a7fdd59730b06dfe324e98c23c13d9cc2677","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-11T19:52:30Z","title_canon_sha256":"7cb6f8ad6b0ed1cde22a455861ace252852b8e0d8928db0fdea5f56d9f572cd3"},"schema_version":"1.0","source":{"id":"1610.03478","kind":"arxiv","version":2}},"canonical_sha256":"fca61153dada4d7507470e778675367cd5ba460c7b2bab50c7608d85b2b47578","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fca61153dada4d7507470e778675367cd5ba460c7b2bab50c7608d85b2b47578","first_computed_at":"2026-05-18T00:38:21.176426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:21.176426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KPpfv5fscE0//8EGwPm42aOAw9P/9JYvrVgP2vCQM9qNhe9mA2uOSokRO7Qe80Faf5NMfa9UlzKxIyP46ol3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:21.177152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03478","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7428e4656d9c24f69430dd4d516b649d6f6c0566a5e966ee314dfcf69e85816","sha256:a32c867a9df675993bfd8920d34100758719d202ad348bc683a0fd11afd4989b"],"state_sha256":"d279c588e3e853467a29b4c1b8a7b3d762d709833be128efbc7ff04da1ba2cc6"}