{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FMEYMKQEM4XZAOSK2IZDA36TPZ","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":"9300a1f798c6e7979d5454a29fb91b62d1fc123278588cd9e54b3098f6472752","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-07T18:35:29Z","title_canon_sha256":"ffb5476d582e3e9939e64cc93ed194bde828093bb01878eb57a3952677091c1a"},"schema_version":"1.0","source":{"id":"1412.2383","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2383","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2383v3","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2383","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"FMEYMKQEM4XZ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMEYMKQEM4XZAOSK","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMEYMKQE","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:35f0c1c801de2e9347f0815a4aefb7cb8f300813912ffc79d831efb06822543b","target":"graph","created_at":"2026-05-18T01:37:07Z","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 the hierarchy of soliton equations associated with the untwisted affine Kac-Moody algebra D^(1)_4 by calculating the corresponding recursion operators. The Hamiltonian formulation of the equations from the hierarchy is also considered. As an example we have explicitly presented the first non-trivial member of the hierarchy, which is an one-parameter family of mKdV equations. We have also considered the spectral properties of the Lax operator and introduced a minimal set of scattering data.","authors_text":"Aleksander A. Stefanov, Dimitar M. Mladenov, Stanislav K. Varbev, Vladimir S. Gerdjikov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-07T18:35:29Z","title":"Soliton equations related to the affine Kac-Moody algebra D^(1)_4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2383","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:b41395fe380db488e91186af11680a8ef7f60ef5b7bb390ec221816ea26aaff6","target":"record","created_at":"2026-05-18T01:37:07Z","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":"9300a1f798c6e7979d5454a29fb91b62d1fc123278588cd9e54b3098f6472752","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-07T18:35:29Z","title_canon_sha256":"ffb5476d582e3e9939e64cc93ed194bde828093bb01878eb57a3952677091c1a"},"schema_version":"1.0","source":{"id":"1412.2383","kind":"arxiv","version":3}},"canonical_sha256":"2b09862a04672f903a4ad232306fd37e56ed400eed184e747b72751ad2d78fca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b09862a04672f903a4ad232306fd37e56ed400eed184e747b72751ad2d78fca","first_computed_at":"2026-05-18T01:37:07.654573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:07.654573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Fpm8QPEKwFBOGsU0FHpLpH2TQevJ9vjNHxKIoO59t6NS6ouCxl01l9OA3ypsdpwjNmRZy67rL6gQ+xZaG4sAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:07.655251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2383","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b41395fe380db488e91186af11680a8ef7f60ef5b7bb390ec221816ea26aaff6","sha256:35f0c1c801de2e9347f0815a4aefb7cb8f300813912ffc79d831efb06822543b"],"state_sha256":"70627c6a7b80d7facfeb9aa6a20858c53830b3d0b4006fcde3d656d75634bc2e"}