{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:UAAELCB2VLOQJRWUS3FGZ4WHNV","short_pith_number":"pith:UAAELCB2","schema_version":"1.0","canonical_sha256":"a00045883aaadd04c6d496ca6cf2c76d46be2dfca5e3b40d9810faddc8634079","source":{"kind":"arxiv","id":"1409.5444","version":3},"attestation_state":"computed","paper":{"title":"Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","submitted_at":"2014-09-18T20:02:45Z","abstract_excerpt":"New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of $(2+1)$-dimensional integrable equations, including the DS-III equation and the $N$-wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.5444","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2014-09-18T20:02:45Z","cross_cats_sorted":[],"title_canon_sha256":"633b93e847b21c6c4737051027e9bdc14778dcc784a29b2f3c23efaa399a74a5","abstract_canon_sha256":"57b51d052790f73e841f9843fb72692931c6d6723f2778b0205e4bcf69f76f52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:08.275769Z","signature_b64":"l6uSq2aBy6lpNQfbCEt1dJF3YeEPCQ5gHFXT/v4mwdgwVgwHFzp8N4gyxDiREWij/sGe2bdTk6+cU3K1GSo5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a00045883aaadd04c6d496ca6cf2c76d46be2dfca5e3b40d9810faddc8634079","last_reissued_at":"2026-05-18T02:19:08.275238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:08.275238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","submitted_at":"2014-09-18T20:02:45Z","abstract_excerpt":"New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of $(2+1)$-dimensional integrable equations, including the DS-III equation and the $N$-wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5444","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.5444","created_at":"2026-05-18T02:19:08.275338+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5444v3","created_at":"2026-05-18T02:19:08.275338+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5444","created_at":"2026-05-18T02:19:08.275338+00:00"},{"alias_kind":"pith_short_12","alias_value":"UAAELCB2VLOQ","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"UAAELCB2VLOQJRWU","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"UAAELCB2","created_at":"2026-05-18T12:28:52.271510+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV","json":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV.json","graph_json":"https://pith.science/api/pith-number/UAAELCB2VLOQJRWUS3FGZ4WHNV/graph.json","events_json":"https://pith.science/api/pith-number/UAAELCB2VLOQJRWUS3FGZ4WHNV/events.json","paper":"https://pith.science/paper/UAAELCB2"},"agent_actions":{"view_html":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV","download_json":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV.json","view_paper":"https://pith.science/paper/UAAELCB2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5444&json=true","fetch_graph":"https://pith.science/api/pith-number/UAAELCB2VLOQJRWUS3FGZ4WHNV/graph.json","fetch_events":"https://pith.science/api/pith-number/UAAELCB2VLOQJRWUS3FGZ4WHNV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV/action/storage_attestation","attest_author":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV/action/author_attestation","sign_citation":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV/action/citation_signature","submit_replication":"https://pith.science/pith/UAAELCB2VLOQJRWUS3FGZ4WHNV/action/replication_record"}},"created_at":"2026-05-18T02:19:08.275338+00:00","updated_at":"2026-05-18T02:19:08.275338+00:00"}