{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7275SMHFBHPGCYM6RDBWJXXHOJ","short_pith_number":"pith:7275SMHF","canonical_record":{"source":{"id":"1606.06598","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-06-20T17:39:08Z","cross_cats_sorted":[],"title_canon_sha256":"4ac7c4f9b41f4bc0493451704165594f0f75a694b0c9945200bc21953788da38","abstract_canon_sha256":"99f7dfd659149e6514b6ed0ea80c254d287c633e3ee9aadc1f51a742f7fa19ae"},"schema_version":"1.0"},"canonical_sha256":"febfd930e509de61619e88c364dee77279a4892f71aac8484cce0b033b9efbd1","source":{"kind":"arxiv","id":"1606.06598","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06598","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06598v3","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06598","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"7275SMHFBHPG","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7275SMHFBHPGCYM6","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7275SMHF","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7275SMHFBHPGCYM6RDBWJXXHOJ","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06598","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-06-20T17:39:08Z","cross_cats_sorted":[],"title_canon_sha256":"4ac7c4f9b41f4bc0493451704165594f0f75a694b0c9945200bc21953788da38","abstract_canon_sha256":"99f7dfd659149e6514b6ed0ea80c254d287c633e3ee9aadc1f51a742f7fa19ae"},"schema_version":"1.0"},"canonical_sha256":"febfd930e509de61619e88c364dee77279a4892f71aac8484cce0b033b9efbd1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:02.694240Z","signature_b64":"KCu0/3jvleQmm/Fa+wcqnGGHdNKn+ef9mPX3Oubk+IZat866qpJ4/5wm3OpustGgg9grEZMrbENIPUsE/WCaDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"febfd930e509de61619e88c364dee77279a4892f71aac8484cce0b033b9efbd1","last_reissued_at":"2026-05-18T00:43:02.693574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:02.693574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06598","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kWXAafiQE15jPtcSU42zUxOvg7Z435eg1IiXCEJqLbbPTDNudWHP3QojJzPKXKeH7h573jb1hEkykjRgQLzMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:11:38.929200Z"},"content_sha256":"248af1d4b2e600e2fe4fe8abaea74ad18db2892b32a0ece91ab4f68eca8f55ac","schema_version":"1.0","event_id":"sha256:248af1d4b2e600e2fe4fe8abaea74ad18db2892b32a0ece91ab4f68eca8f55ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7275SMHFBHPGCYM6RDBWJXXHOJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable motion of two interacting curves, spin systems and the Manakov system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Akbota Myrzakul, Ratbay Myrzakulov","submitted_at":"2016-06-20T17:39:08Z","abstract_excerpt":"Integrable spin systems are an important subclass of integrable (soliton) nonlinear equations. They play important role in physics and mathematics. At present, many integrable spin systems were found and studied. They are related with the motion of 3-dimensional curves. In this paper, we consider a model of two moving interacting curves. Next, we find its integrable reduction related with some integrable coupled spin system. Then we show that this integrable coupled spin system is equivalent to the famous Manakov system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06598","kind":"arxiv","version":3},"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":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5626I6PolFP/HclM3615J1zcGZa4UDK8gpKw2qLakU1jYvYkyfkI04qRXoWln43t5RxQY+NjxGyGdXsLweo4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:11:38.929724Z"},"content_sha256":"a0b5844c6eff86b53b6568a4b7e6e158c44731673cf932718de2711589b4d976","schema_version":"1.0","event_id":"sha256:a0b5844c6eff86b53b6568a4b7e6e158c44731673cf932718de2711589b4d976"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/bundle.json","state_url":"https://pith.science/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/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":"2026-06-04T04:11:38Z","links":{"resolver":"https://pith.science/pith/7275SMHFBHPGCYM6RDBWJXXHOJ","bundle":"https://pith.science/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/bundle.json","state":"https://pith.science/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7275SMHFBHPGCYM6RDBWJXXHOJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7275SMHFBHPGCYM6RDBWJXXHOJ","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":"99f7dfd659149e6514b6ed0ea80c254d287c633e3ee9aadc1f51a742f7fa19ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-06-20T17:39:08Z","title_canon_sha256":"4ac7c4f9b41f4bc0493451704165594f0f75a694b0c9945200bc21953788da38"},"schema_version":"1.0","source":{"id":"1606.06598","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06598","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06598v3","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06598","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"7275SMHFBHPG","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7275SMHFBHPGCYM6","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7275SMHF","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:a0b5844c6eff86b53b6568a4b7e6e158c44731673cf932718de2711589b4d976","target":"graph","created_at":"2026-05-18T00:43:02Z","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":"Integrable spin systems are an important subclass of integrable (soliton) nonlinear equations. They play important role in physics and mathematics. At present, many integrable spin systems were found and studied. They are related with the motion of 3-dimensional curves. In this paper, we consider a model of two moving interacting curves. Next, we find its integrable reduction related with some integrable coupled spin system. Then we show that this integrable coupled spin system is equivalent to the famous Manakov system.","authors_text":"Akbota Myrzakul, Ratbay Myrzakulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-06-20T17:39:08Z","title":"Integrable motion of two interacting curves, spin systems and the Manakov system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06598","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":"sha256:248af1d4b2e600e2fe4fe8abaea74ad18db2892b32a0ece91ab4f68eca8f55ac","target":"record","created_at":"2026-05-18T00:43:02Z","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":"99f7dfd659149e6514b6ed0ea80c254d287c633e3ee9aadc1f51a742f7fa19ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-06-20T17:39:08Z","title_canon_sha256":"4ac7c4f9b41f4bc0493451704165594f0f75a694b0c9945200bc21953788da38"},"schema_version":"1.0","source":{"id":"1606.06598","kind":"arxiv","version":3}},"canonical_sha256":"febfd930e509de61619e88c364dee77279a4892f71aac8484cce0b033b9efbd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"febfd930e509de61619e88c364dee77279a4892f71aac8484cce0b033b9efbd1","first_computed_at":"2026-05-18T00:43:02.693574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:02.693574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KCu0/3jvleQmm/Fa+wcqnGGHdNKn+ef9mPX3Oubk+IZat866qpJ4/5wm3OpustGgg9grEZMrbENIPUsE/WCaDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:02.694240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06598","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:248af1d4b2e600e2fe4fe8abaea74ad18db2892b32a0ece91ab4f68eca8f55ac","sha256:a0b5844c6eff86b53b6568a4b7e6e158c44731673cf932718de2711589b4d976"],"state_sha256":"fa4c4f3e6111a3bc219fa9c929081f290d5970283df6902b7c67fd1ca9e40059"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+YaesZWQyOw6v1cDow8G2zt91JvMVG47mBk+4oiz7w4mbu+9MSfS15wwM4nVxP6BZkqmVOGWvteF3raztv2Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:11:38.932003Z","bundle_sha256":"3200fd209bc63d28459c7d3e055268c6d3508cd998ec2426e23304df56e1a6ee"}}