{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5BQHC37OS3XKXVENYI5KQ7Y7GK","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":"f39a00319fd0ab4aab2024f151d4997b0f3a83faa9fb7c0e75ae05d6b3880f9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-08-28T20:31:50Z","title_canon_sha256":"fb39f63332dccdab3fe3f10af2e9b983d7be72b0c18a4d0d44e021d5fb91a442"},"schema_version":"1.0","source":{"id":"1608.08553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08553","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08553v1","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08553","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"5BQHC37OS3XK","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5BQHC37OS3XKXVEN","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5BQHC37O","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:407c6bc8b536e6f7d74473124d34b0f15eaeb497434d81893fa1cc3915c5e942","target":"graph","created_at":"2026-05-18T01:07:17Z","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 study integrable multilayer spin systems, namely, the multilayer M-LIII equation. We investigate their relation with the geometric flows of interacting curves and surfaces in some space $R^{n}$. Then we present their the Lakshmanan equivalent counterparts. We show that these equivalent counterparts are, in fact, the vector nonlinear Schr\\\"odinger equation (NLSE). It is well-known that the vector NLSE is equivalent to the $\\Gamma$-spin system. Also, we have presented the transformations which give the relation between solutions of the $\\Gamma$-spin system and the multilayer M-","authors_text":"Akbota Myrzakul, Ratbay Myrzakulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-08-28T20:31:50Z","title":"Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08553","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:d3a0ca5b85ad108f438fca59ed2305ed6db2c36715094bfe8f917e6e5d3d114e","target":"record","created_at":"2026-05-18T01:07:17Z","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":"f39a00319fd0ab4aab2024f151d4997b0f3a83faa9fb7c0e75ae05d6b3880f9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-08-28T20:31:50Z","title_canon_sha256":"fb39f63332dccdab3fe3f10af2e9b983d7be72b0c18a4d0d44e021d5fb91a442"},"schema_version":"1.0","source":{"id":"1608.08553","kind":"arxiv","version":1}},"canonical_sha256":"e860716fee96eeabd48dc23aa87f1f3286ec6dab846676ee71ac666c4280b193","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e860716fee96eeabd48dc23aa87f1f3286ec6dab846676ee71ac666c4280b193","first_computed_at":"2026-05-18T01:07:17.837946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:17.837946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MKvK2wPs2g0gH/EepFWLKcTq4SIgrOV9v/qIS/WjLOCb0Lzm129adHo99RJpgmlqgRNX71w94etHIFN7G/mbCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:17.838614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3a0ca5b85ad108f438fca59ed2305ed6db2c36715094bfe8f917e6e5d3d114e","sha256:407c6bc8b536e6f7d74473124d34b0f15eaeb497434d81893fa1cc3915c5e942"],"state_sha256":"546a973f0f1574d68780895cd0ad309bfa6f20209a91beb5215933d46557b5f2"}