{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:MYSKPSCYFOP4WNFGD3UY2MBZSL","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":"c5b6c0ccda55f2166ca0b9b6ced339ef4cebcbc408a1d81b4ba74c026a705298","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-08-09T04:43:02Z","title_canon_sha256":"73efd06db70b30ea0b0e2f5fffd4e69ea58e1282d7efd04bb0d69cec4fcafca5"},"schema_version":"1.0","source":{"id":"solv-int/9908005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9908005","created_at":"2026-05-18T01:37:51Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9908005v1","created_at":"2026-05-18T01:37:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9908005","created_at":"2026-05-18T01:37:51Z"},{"alias_kind":"pith_short_12","alias_value":"MYSKPSCYFOP4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"MYSKPSCYFOP4WNFG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"MYSKPSCY","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:cdad11d24ff9b4873779ee5462c630482fa57e70d55abbf2d4a00d9d21ebce72","target":"graph","created_at":"2026-05-18T01:37:51Z","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":"A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-Kaup-Newell systems in the hierarchy. Therefore all systems have infinitely many commuting symmetries and conservation laws. Two reductions of the systems lead to the AKNS hierarchy and the Kaup-Newell hierarchy, and thus those two soliton hierarchies also possess tri-Hamiltonian structures.","authors_text":"Ruguang Zhou, Wen-Xiu Ma","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1999-08-09T04:43:02Z","title":"A Coupled AKNS-Kaup-Newell Soliton Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9908005","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:a69c99b3d1da85d04e85e9c017167d7b443b753fdcc9de4599225074df925c45","target":"record","created_at":"2026-05-18T01:37:51Z","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":"c5b6c0ccda55f2166ca0b9b6ced339ef4cebcbc408a1d81b4ba74c026a705298","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-08-09T04:43:02Z","title_canon_sha256":"73efd06db70b30ea0b0e2f5fffd4e69ea58e1282d7efd04bb0d69cec4fcafca5"},"schema_version":"1.0","source":{"id":"solv-int/9908005","kind":"arxiv","version":1}},"canonical_sha256":"6624a7c8582b9fcb34a61ee98d303992d6082c5afc2d193e5c891a95ae431957","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6624a7c8582b9fcb34a61ee98d303992d6082c5afc2d193e5c891a95ae431957","first_computed_at":"2026-05-18T01:37:51.730462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:51.730462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hmd9mjdRNxV6bpdeknDIdXBjtH16iRieUTmn/b/ZwtXePLZxsnmiB0D0Vq6ULh5LDafPBdn+i9W//brRArCUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:51.731137Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9908005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a69c99b3d1da85d04e85e9c017167d7b443b753fdcc9de4599225074df925c45","sha256:cdad11d24ff9b4873779ee5462c630482fa57e70d55abbf2d4a00d9d21ebce72"],"state_sha256":"ead556fa9b4e353699e59780cfcaa2e5f4fff4bf232358054ea3eadaff6abe36"}