{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:K5GIQOENDBZ2UMCWVBCFSNPIJC","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":"4260fb4e98b144eeffcd72898d49eb7e34db316209bcd22f928a160ef4876b73","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-29T14:47:41Z","title_canon_sha256":"ad0de22787fb6b09984d429339e2fa02e7cf2f2d7481d31d5eb3c913d1b5726f"},"schema_version":"1.0","source":{"id":"1407.7743","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7743","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7743v3","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7743","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"K5GIQOENDBZ2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"K5GIQOENDBZ2UMCW","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"K5GIQOEN","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:24607a159b332508200d0285906fde20a232d3489cb25e1b1a49d54ee5dec951","target":"graph","created_at":"2026-05-18T02:29:24Z","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 parametric coupled KdV system which contains, for particular values of the parameter, the complex extension of the KdV equation and one of the Hirota-Satsuma integrable systems. We obtain a generalized Gardner transformation and from the associated $\\varepsilon$- deformed system we get the infinite sequence of conserved quantities for the parametric coupled system. We also obtain a B\\\"{a}cklund transformation for the system. We prove the associated permutability theorem corresponding to such transformation and we generate new multi-solitonic and periodic solutions for the system","authors_text":"A. Restuccia, A. Sotomayor, L. Cort\\'es Vega","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-29T14:47:41Z","title":"Multisolitonic solutions from a B\\\"acklund transformation for a parametric coupled Korteweg-de Vries system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7743","kind":"arxiv","version":3},"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":"sha256:269fe4ec615333fcdb062fed251c2fdd1370aeb2c149bb213e4883c040dba0e3","target":"record","created_at":"2026-05-18T02:29:24Z","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":"4260fb4e98b144eeffcd72898d49eb7e34db316209bcd22f928a160ef4876b73","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-29T14:47:41Z","title_canon_sha256":"ad0de22787fb6b09984d429339e2fa02e7cf2f2d7481d31d5eb3c913d1b5726f"},"schema_version":"1.0","source":{"id":"1407.7743","kind":"arxiv","version":3}},"canonical_sha256":"574c88388d1873aa3056a8445935e84881c66e99c895adcfdb0d89e8ca4b9c7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"574c88388d1873aa3056a8445935e84881c66e99c895adcfdb0d89e8ca4b9c7a","first_computed_at":"2026-05-18T02:29:24.835142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:24.835142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2XaEaV4xxQW02obV9Hxwp+lnXkoKkGEIkcdHO9N5IwLaslzEVXXLs3UYB+ZZoWEf8IlySVxD7fwF2ree/Pd2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:24.835504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7743","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:269fe4ec615333fcdb062fed251c2fdd1370aeb2c149bb213e4883c040dba0e3","sha256:24607a159b332508200d0285906fde20a232d3489cb25e1b1a49d54ee5dec951"],"state_sha256":"13e07fd4141d9a4d6d7fd37edfeef803d6f0cfb83e425036f22cf278329b58cd"}