{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4KBHRHI2OZIHUAIBKBLUZKEPET","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":"4d4815e7a55349b258eef16b5669e58746d3a0339164ce7a599f4ee61a8c64be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-10T14:52:36Z","title_canon_sha256":"a49a222e93342a73b48748334f18026929dc13ea9e9828d9b2109e2d9637ad91"},"schema_version":"1.0","source":{"id":"1603.03289","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03289","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03289v2","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03289","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"4KBHRHI2OZIH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4KBHRHI2OZIHUAIB","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4KBHRHI2","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:bcae098bb2f80527e17013114c229952dae03c198b8c05889422e985b21f187f","target":"graph","created_at":"2026-05-18T01:02:44Z","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":"In this paper we derive new two-component integrable differential difference and partial difference systems by applying a Lax-Darboux scheme to an operator formed from an ${\\mathfrak{sl}}_3({\\mathbb{C}})$-based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries.","authors_text":"Alexander V. Mikhailov, George Berkeley, Pavlos Xenitidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-10T14:52:36Z","title":"Darboux transformations with tetrahedral reduction group and related integrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03289","kind":"arxiv","version":2},"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":"sha256:0ed3bdcaa974c3436dc74935a7e53608ab7bd25c4c2cd53150f1aa4ba6d16072","target":"record","created_at":"2026-05-18T01:02:44Z","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":"4d4815e7a55349b258eef16b5669e58746d3a0339164ce7a599f4ee61a8c64be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-10T14:52:36Z","title_canon_sha256":"a49a222e93342a73b48748334f18026929dc13ea9e9828d9b2109e2d9637ad91"},"schema_version":"1.0","source":{"id":"1603.03289","kind":"arxiv","version":2}},"canonical_sha256":"e282789d1a76507a010150574ca88f24debb2442afdd1ad5fc2933a3a0e345fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e282789d1a76507a010150574ca88f24debb2442afdd1ad5fc2933a3a0e345fb","first_computed_at":"2026-05-18T01:02:44.900021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:44.900021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r3tsscAB9SK/+jWYzg9phiZ/45YjTDwMSubTqEkz3ecoQwymhwFLfA7O7denFF4hDx6I0jJu3C5979Kv1OdaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:44.900428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03289","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ed3bdcaa974c3436dc74935a7e53608ab7bd25c4c2cd53150f1aa4ba6d16072","sha256:bcae098bb2f80527e17013114c229952dae03c198b8c05889422e985b21f187f"],"state_sha256":"42287151e6691f4c49660d5063842fe603033bb004f437df5be9c6c3d28fceb9"}