{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EOYPQOCI22HRZRAFTSBIW6DWT6","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":"c9ebdafd49de8d73acf8911f2c4b063b8a6d14093684a404e0ccbad379a53999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-02-24T02:15:02Z","title_canon_sha256":"97d0936469b781a5744b55d884727da00523629feb88b8baa228ddd947a783d6"},"schema_version":"1.0","source":{"id":"1302.5862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5862","created_at":"2026-05-18T01:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5862v2","created_at":"2026-05-18T01:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5862","created_at":"2026-05-18T01:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"EOYPQOCI22HR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EOYPQOCI22HRZRAF","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EOYPQOCI","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:bcd7211720d99d475bb020c44473ec11210bd9539909b65f0e82f98c8dcd28f7","target":"graph","created_at":"2026-05-18T01:51:33Z","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 study the uniform solutions to the one-dimensional spinor Bose-Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding numbers according to the various compositions of the hyperfine states. It simultaneously yields a fractional factor to the global phase due to the gauge-spin symmetry. Our method can be applied to explore the fractional vortices by identifying the ring as the boundary of two-dimensional spinor condensates.","authors_text":"Shi-jie Yang, Yong-Kai Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-02-24T02:15:02Z","title":"Fractional windings of the spinor condensates on a ring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5862","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":"sha256:0b26a9aebe06c2c5f8f933f4c75916ef0bf9ad6a2879e0c2b02745fe5909293f","target":"record","created_at":"2026-05-18T01:51:33Z","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":"c9ebdafd49de8d73acf8911f2c4b063b8a6d14093684a404e0ccbad379a53999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-02-24T02:15:02Z","title_canon_sha256":"97d0936469b781a5744b55d884727da00523629feb88b8baa228ddd947a783d6"},"schema_version":"1.0","source":{"id":"1302.5862","kind":"arxiv","version":2}},"canonical_sha256":"23b0f83848d68f1cc4059c828b78769faeb4fcaa65c37ee1f4dcc4f6812f3db1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23b0f83848d68f1cc4059c828b78769faeb4fcaa65c37ee1f4dcc4f6812f3db1","first_computed_at":"2026-05-18T01:51:33.752969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:33.752969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AiicvzEq7134O5a0aiv6H0uhnkjmkgUOLLt2kx1H5e//DhAConiNFzJQrPBd3d1IpAqR5KHMQHblchp9TSmQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:33.753432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b26a9aebe06c2c5f8f933f4c75916ef0bf9ad6a2879e0c2b02745fe5909293f","sha256:bcd7211720d99d475bb020c44473ec11210bd9539909b65f0e82f98c8dcd28f7"],"state_sha256":"d2d42d2fbaaff80ddabe6292261f4272a5d95ad6ab6f32a415e60a18d0224e29"}