{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5BQHC37OS3XKXVENYI5KQ7Y7GK","short_pith_number":"pith:5BQHC37O","canonical_record":{"source":{"id":"1608.08553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-08-28T20:31:50Z","cross_cats_sorted":[],"title_canon_sha256":"fb39f63332dccdab3fe3f10af2e9b983d7be72b0c18a4d0d44e021d5fb91a442","abstract_canon_sha256":"f39a00319fd0ab4aab2024f151d4997b0f3a83faa9fb7c0e75ae05d6b3880f9c"},"schema_version":"1.0"},"canonical_sha256":"e860716fee96eeabd48dc23aa87f1f3286ec6dab846676ee71ac666c4280b193","source":{"kind":"arxiv","id":"1608.08553","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5BQHC37OS3XKXVENYI5KQ7Y7GK","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-08-28T20:31:50Z","cross_cats_sorted":[],"title_canon_sha256":"fb39f63332dccdab3fe3f10af2e9b983d7be72b0c18a4d0d44e021d5fb91a442","abstract_canon_sha256":"f39a00319fd0ab4aab2024f151d4997b0f3a83faa9fb7c0e75ae05d6b3880f9c"},"schema_version":"1.0"},"canonical_sha256":"e860716fee96eeabd48dc23aa87f1f3286ec6dab846676ee71ac666c4280b193","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:17.838614Z","signature_b64":"MKvK2wPs2g0gH/EepFWLKcTq4SIgrOV9v/qIS/WjLOCb0Lzm129adHo99RJpgmlqgRNX71w94etHIFN7G/mbCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e860716fee96eeabd48dc23aa87f1f3286ec6dab846676ee71ac666c4280b193","last_reissued_at":"2026-05-18T01:07:17.837946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:17.837946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08553","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nc60KcvQowQSS1Lt2Qdo0ZKztuAfHn7V+tjZ2ZtyvFDo9ulL29zHlQUS8aKKbFMYgAJv6gsR+O+tjreCNfKYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:52:26.519988Z"},"content_sha256":"d3a0ca5b85ad108f438fca59ed2305ed6db2c36715094bfe8f917e6e5d3d114e","schema_version":"1.0","event_id":"sha256:d3a0ca5b85ad108f438fca59ed2305ed6db2c36715094bfe8f917e6e5d3d114e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5BQHC37OS3XKXVENYI5KQ7Y7GK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Akbota Myrzakul, Ratbay Myrzakulov","submitted_at":"2016-08-28T20:31:50Z","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-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08553","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O7xv70R9XsImsvYuL1452nGEZlH37sPG+kCvwsgclvRMvFNRBPtvmZtHlKAvauljg45h5sM2nhiGJSwcg19IBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:52:26.520437Z"},"content_sha256":"407c6bc8b536e6f7d74473124d34b0f15eaeb497434d81893fa1cc3915c5e942","schema_version":"1.0","event_id":"sha256:407c6bc8b536e6f7d74473124d34b0f15eaeb497434d81893fa1cc3915c5e942"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/bundle.json","state_url":"https://pith.science/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T12:52:26Z","links":{"resolver":"https://pith.science/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK","bundle":"https://pith.science/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/bundle.json","state":"https://pith.science/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5BQHC37OS3XKXVENYI5KQ7Y7GK/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"odECkzIRUEn440zaQC/Q/ijJz6vJL+DUwpukQTP/dovOmC9Peuv08trEGE7plOh4j2tysCe/UoPGopma7TorDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T12:52:26.523075Z","bundle_sha256":"d7c87af914627615ae9ee3ea50602f4d63b4fad66bccceb381cb6bf07f8e98c2"}}