{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:F2JPYXN5RAUG3D36YCE324UTRX","short_pith_number":"pith:F2JPYXN5","schema_version":"1.0","canonical_sha256":"2e92fc5dbd88286d8f7ec089bd72938dce5918079d236d6259a6889803570236","source":{"kind":"arxiv","id":"1404.3043","version":3},"attestation_state":"computed","paper":{"title":"Kadomtsev-Petviashvili system and reduction: generalized Cauchy matrix approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Shou-Feng Shen, Song-lin Zhao, Wei Feng","submitted_at":"2014-04-11T09:19:18Z","abstract_excerpt":"By the Sylvester equation $\\bL\\bM-\\bM\\bK=\\br\\bs^{\\st}$ together with an evolution equation set of $\\br$ and $\\bs$, generalized Cauchy matrix approach is established to investigate exact solutions for Kadomtsev-Petviashvili system, including Kadomtsev-Petviashvili equation, modified Kadomtsev-Petviashvili equation and Schwarzian Kadomtsev-Petviashvili equation. The matrix $\\bM$ provides $\\tau$-function by $\\tau=|\\bI+\\bM\\bC|$. With the help of some recurrence relations, the reduction to Korteweg-de Vries system, Boussinesq system and extended Boussinesq system are also discussed."},"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":"1404.3043","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-04-11T09:19:18Z","cross_cats_sorted":[],"title_canon_sha256":"b52df1b9fa0982ad55b04c450ea65e80e20df2db2b74752242426f15efa067b0","abstract_canon_sha256":"36fe8b8ecb0f8e82156bbd7d7ef136e17944571295e880620ee6a7a39f272142"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:01.915489Z","signature_b64":"9vK70leu21LdATC72uOT2JyJbRwbIxZFP/XRsQA2h2n2aN+noZPjEgCc7J5WBbpnlAGr4JDkQk1CNvIGyQ1AAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e92fc5dbd88286d8f7ec089bd72938dce5918079d236d6259a6889803570236","last_reissued_at":"2026-05-18T02:40:01.914881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:01.914881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kadomtsev-Petviashvili system and reduction: generalized Cauchy matrix approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Shou-Feng Shen, Song-lin Zhao, Wei Feng","submitted_at":"2014-04-11T09:19:18Z","abstract_excerpt":"By the Sylvester equation $\\bL\\bM-\\bM\\bK=\\br\\bs^{\\st}$ together with an evolution equation set of $\\br$ and $\\bs$, generalized Cauchy matrix approach is established to investigate exact solutions for Kadomtsev-Petviashvili system, including Kadomtsev-Petviashvili equation, modified Kadomtsev-Petviashvili equation and Schwarzian Kadomtsev-Petviashvili equation. The matrix $\\bM$ provides $\\tau$-function by $\\tau=|\\bI+\\bM\\bC|$. With the help of some recurrence relations, the reduction to Korteweg-de Vries system, Boussinesq system and extended Boussinesq system are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3043","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":"1404.3043","created_at":"2026-05-18T02:40:01.914966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.3043v3","created_at":"2026-05-18T02:40:01.914966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3043","created_at":"2026-05-18T02:40:01.914966+00:00"},{"alias_kind":"pith_short_12","alias_value":"F2JPYXN5RAUG","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"F2JPYXN5RAUG3D36","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"F2JPYXN5","created_at":"2026-05-18T12:28:28.263976+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/F2JPYXN5RAUG3D36YCE324UTRX","json":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX.json","graph_json":"https://pith.science/api/pith-number/F2JPYXN5RAUG3D36YCE324UTRX/graph.json","events_json":"https://pith.science/api/pith-number/F2JPYXN5RAUG3D36YCE324UTRX/events.json","paper":"https://pith.science/paper/F2JPYXN5"},"agent_actions":{"view_html":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX","download_json":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX.json","view_paper":"https://pith.science/paper/F2JPYXN5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.3043&json=true","fetch_graph":"https://pith.science/api/pith-number/F2JPYXN5RAUG3D36YCE324UTRX/graph.json","fetch_events":"https://pith.science/api/pith-number/F2JPYXN5RAUG3D36YCE324UTRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX/action/storage_attestation","attest_author":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX/action/author_attestation","sign_citation":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX/action/citation_signature","submit_replication":"https://pith.science/pith/F2JPYXN5RAUG3D36YCE324UTRX/action/replication_record"}},"created_at":"2026-05-18T02:40:01.914966+00:00","updated_at":"2026-05-18T02:40:01.914966+00:00"}