{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HUAZOLKZIGUCSCDARUFCIZFX3Z","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":"6941e8bfa3dfb337fb293fcb72b7fc70353922b97e0248fbed622b96cc3e6314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-24T15:17:45Z","title_canon_sha256":"a38b332f43dc85f5a20b3151b4dd2395d87a2770a22fa507d2262d46931e401a"},"schema_version":"1.0","source":{"id":"1805.09724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09724","created_at":"2026-05-18T00:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09724v1","created_at":"2026-05-18T00:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09724","created_at":"2026-05-18T00:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"HUAZOLKZIGUC","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HUAZOLKZIGUCSCDA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HUAZOLKZ","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:14340f256c766208debd2c3d121a5b3c58054df196bd296a517c033b8b70c6f5","target":"graph","created_at":"2026-05-18T00:08:14Z","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 systematically the period-doubled Bloch states for a weakly interacting Bose-Einstein condensate in a one-dimensional optical lattice. This kind of state is of form $\\psi_k=e^{ikx}\\phi_k(x)$, where $\\phi_k(x)$ is of period twice the optical lattice constant. Our numerical results show how these nonlinear period-doubled states grow out of linear period-doubled states at a quarter away from the Brillouin zone center as the repulsive interatomic interaction increases. This is corroborated by our analytical results. We find that all nonlinear period-doubled Bloch states have both Landau i","authors_text":"Baoguo Yang, Biao Wu, Pengju Tang, Xiaoji Zhou, Xinxin Guo, Xuzong Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-24T15:17:45Z","title":"Period-doubled Bloch states in a Bose-Einstein condensate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09724","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":"sha256:4c118aea98265b2eca2b384637d1997ac596551211a667f525abd2bc3bd55a0f","target":"record","created_at":"2026-05-18T00:08:14Z","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":"6941e8bfa3dfb337fb293fcb72b7fc70353922b97e0248fbed622b96cc3e6314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-24T15:17:45Z","title_canon_sha256":"a38b332f43dc85f5a20b3151b4dd2395d87a2770a22fa507d2262d46931e401a"},"schema_version":"1.0","source":{"id":"1805.09724","kind":"arxiv","version":1}},"canonical_sha256":"3d01972d5941a82908608d0a2464b7de468ba503c10a1b1f2b63d55c02eb4d80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d01972d5941a82908608d0a2464b7de468ba503c10a1b1f2b63d55c02eb4d80","first_computed_at":"2026-05-18T00:08:14.784483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:14.784483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oMjFPXk3G1IxQJpNEffwQpE47jpC5vL7z0RyAfkxlk69nfaY4oqbuq4VNdJxtNDnVex6OatyoSojGwLN6fEzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:14.784822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c118aea98265b2eca2b384637d1997ac596551211a667f525abd2bc3bd55a0f","sha256:14340f256c766208debd2c3d121a5b3c58054df196bd296a517c033b8b70c6f5"],"state_sha256":"edec521d8d9a6d861fad48d6fee28d631613252aa8d7f0c0daa67059c6df7f5e"}