{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:J7CXJBRAFOKF22HTT7QZRF2WTH","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":"59487b3dad172b0ea264f3cadeb8465e0d3cbcf19010768ebad671966c2cf343","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2008-11-25T05:47:55Z","title_canon_sha256":"f72ad323d738e6a2d68520b096f8ae26238245c38852649ac6c8b31779be8521"},"schema_version":"1.0","source":{"id":"0811.4016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.4016","created_at":"2026-05-18T02:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"0811.4016v1","created_at":"2026-05-18T02:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4016","created_at":"2026-05-18T02:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"J7CXJBRAFOKF","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"J7CXJBRAFOKF22HT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"J7CXJBRA","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:b1fc5a42cefd9c395fb764f24ab905d357c497fd9d861d6293db334dd56c09e0","target":"graph","created_at":"2026-05-18T02:15:13Z","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":"By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions $u_2$ and the previously known solutions $u_2^{\\prime}$ generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for $u_2$ and $u_2^{\\prime}$, and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak lin","authors_text":"Jingsong He, Xiaodong Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2008-11-25T05:47:55Z","title":"Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4016","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":"sha256:67c4d7e3e8f42d7f2ce288265366ad1881e9b3f7c8da777a7e03074ce4c00483","target":"record","created_at":"2026-05-18T02:15:13Z","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":"59487b3dad172b0ea264f3cadeb8465e0d3cbcf19010768ebad671966c2cf343","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2008-11-25T05:47:55Z","title_canon_sha256":"f72ad323d738e6a2d68520b096f8ae26238245c38852649ac6c8b31779be8521"},"schema_version":"1.0","source":{"id":"0811.4016","kind":"arxiv","version":1}},"canonical_sha256":"4fc57486202b945d68f39fe198975699f200bced9b646a7104e0cd18526d2d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fc57486202b945d68f39fe198975699f200bced9b646a7104e0cd18526d2d23","first_computed_at":"2026-05-18T02:15:13.251154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:13.251154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+usH73q4g1Hc6Y6kqkOm1zAMMuMA1CYdsmFbF3QJvJjW/Y4jE0U4Z0h0mgnum+AkvDJafq3bk1hGwBp68EEWBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:13.251820Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.4016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67c4d7e3e8f42d7f2ce288265366ad1881e9b3f7c8da777a7e03074ce4c00483","sha256:b1fc5a42cefd9c395fb764f24ab905d357c497fd9d861d6293db334dd56c09e0"],"state_sha256":"6ea7cdeca7cedf8359c758e8d071231c0446c59307741090a240001fcd55c579"}