{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WEWGPO3XF3MXDTYQHEEVE6WPZ7","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":"4c72a5f90d26f9deaba93e967a901f2985708189fb3e3d77c4695358a916bdbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-04T16:36:26Z","title_canon_sha256":"feb5b66836ce68755589bb8a015d273fb7826e1cb94579b6633bdcd9e9ba8f05"},"schema_version":"1.0","source":{"id":"1512.01475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01475","created_at":"2026-05-18T01:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01475v1","created_at":"2026-05-18T01:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01475","created_at":"2026-05-18T01:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"WEWGPO3XF3MX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WEWGPO3XF3MXDTYQ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WEWGPO3X","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:b352459bf722ea5b6c358b4faeb01e2e866d0ee71c0af746d7de5f85936168a6","target":"graph","created_at":"2026-05-18T01:25:16Z","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 have derived a new system of mKdV-type equations which can be related to the affine Lie algebra $A_{5}^{(2)}$. This system of partial differential equations is integrable via the inverse scattering method. It admits a Hamiltonian formulation and the corresponding Hamiltonian is also given. The Riemann-Hilbert problem for the Lax operator is formulated and its spectral properties are discussed.","authors_text":"Aleksander A. Stefanov, Dimitar M. Mladenov, Stanislav K. Varbev, Vladimir S. Gerdjikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-04T16:36:26Z","title":"On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01475","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":"sha256:33a3ba6ed1a8f5591334940238129a25c9f1501a7db62ce8315bea6d0665f000","target":"record","created_at":"2026-05-18T01:25:16Z","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":"4c72a5f90d26f9deaba93e967a901f2985708189fb3e3d77c4695358a916bdbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-04T16:36:26Z","title_canon_sha256":"feb5b66836ce68755589bb8a015d273fb7826e1cb94579b6633bdcd9e9ba8f05"},"schema_version":"1.0","source":{"id":"1512.01475","kind":"arxiv","version":1}},"canonical_sha256":"b12c67bb772ed971cf103909527acfcfc2f79182993914b3ce2e94857ee482bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b12c67bb772ed971cf103909527acfcfc2f79182993914b3ce2e94857ee482bf","first_computed_at":"2026-05-18T01:25:16.753415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:16.753415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1hDQY5vOuZLtHoZbEuGR4b0drbqPe9Rzs9CTbGixYv93a2SSEWFvi3tnIs4ZJRo1Dc9iHDy+QokjctJEEShEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:16.753843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33a3ba6ed1a8f5591334940238129a25c9f1501a7db62ce8315bea6d0665f000","sha256:b352459bf722ea5b6c358b4faeb01e2e866d0ee71c0af746d7de5f85936168a6"],"state_sha256":"1451ef6870a413761add7882b0cfc3b754449621206060d4ff201e9c1059dbbc"}