{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GGHON65773K2SIPTAZFUG6KWRI","short_pith_number":"pith:GGHON657","schema_version":"1.0","canonical_sha256":"318ee6fbbffed5a921f3064b4379568a28e8d3d797eafed40358ec4905f3c00f","source":{"kind":"arxiv","id":"1108.1857","version":2},"attestation_state":"computed","paper":{"title":"Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Akira Kato, Kenichi Kasamatsu, Tetsuo Matsui, Yuki Nakano","submitted_at":"2011-08-09T06:12:07Z","abstract_excerpt":"We study the dynamics of vortex nucleation and lattice formation in a Bose--Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross--Pitaevskii equation. Different dynamical regimes of vortex nucleation are found, depending on the depth and period of the optical lattice. We make an extensive comparison with the experiments by Williams {\\it et al.} [Phys. Rev. Lett. {\\bf 104}, 050404 (2010)], especially focusing on the issues of the critical rotation frequency for the first vortex nucleation and the vortex number as a function of rotation frequency."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.1857","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-09T06:12:07Z","cross_cats_sorted":[],"title_canon_sha256":"1bc6b17fbc229550c5992f44e586c372abb6fe7b11753a0afa87a4f21e5abaaf","abstract_canon_sha256":"b4d7272253f90e412226e5edf3ed036641443ae5e4dbf2bfdc21e00039f4be84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:53.891349Z","signature_b64":"n3bNJ1ik30J+hDM7uU13F64r2rL5vs0Xgv6eVu9lMnlBP6kuFXUzjf+XjRCP9fEbMuRYT5TNeYrZsefx1W1RBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"318ee6fbbffed5a921f3064b4379568a28e8d3d797eafed40358ec4905f3c00f","last_reissued_at":"2026-05-18T04:07:53.890736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:53.890736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Akira Kato, Kenichi Kasamatsu, Tetsuo Matsui, Yuki Nakano","submitted_at":"2011-08-09T06:12:07Z","abstract_excerpt":"We study the dynamics of vortex nucleation and lattice formation in a Bose--Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross--Pitaevskii equation. Different dynamical regimes of vortex nucleation are found, depending on the depth and period of the optical lattice. We make an extensive comparison with the experiments by Williams {\\it et al.} [Phys. Rev. Lett. {\\bf 104}, 050404 (2010)], especially focusing on the issues of the critical rotation frequency for the first vortex nucleation and the vortex number as a function of rotation frequency."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1857","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.1857","created_at":"2026-05-18T04:07:53.890816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.1857v2","created_at":"2026-05-18T04:07:53.890816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1857","created_at":"2026-05-18T04:07:53.890816+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGHON65773K2","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGHON65773K2SIPT","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGHON657","created_at":"2026-05-18T12:26:28.662955+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI","json":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI.json","graph_json":"https://pith.science/api/pith-number/GGHON65773K2SIPTAZFUG6KWRI/graph.json","events_json":"https://pith.science/api/pith-number/GGHON65773K2SIPTAZFUG6KWRI/events.json","paper":"https://pith.science/paper/GGHON657"},"agent_actions":{"view_html":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI","download_json":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI.json","view_paper":"https://pith.science/paper/GGHON657","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.1857&json=true","fetch_graph":"https://pith.science/api/pith-number/GGHON65773K2SIPTAZFUG6KWRI/graph.json","fetch_events":"https://pith.science/api/pith-number/GGHON65773K2SIPTAZFUG6KWRI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI/action/storage_attestation","attest_author":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI/action/author_attestation","sign_citation":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI/action/citation_signature","submit_replication":"https://pith.science/pith/GGHON65773K2SIPTAZFUG6KWRI/action/replication_record"}},"created_at":"2026-05-18T04:07:53.890816+00:00","updated_at":"2026-05-18T04:07:53.890816+00:00"}