{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LFPLOZJAKGAS56QENJOAH4EXGA","short_pith_number":"pith:LFPLOZJA","schema_version":"1.0","canonical_sha256":"595eb7652051812efa046a5c03f097300e423d45601fd36c23c3328f2a145828","source":{"kind":"arxiv","id":"1706.07137","version":2},"attestation_state":"computed","paper":{"title":"Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","nlin.PS"],"primary_cat":"cond-mat.quant-gas","authors_text":"D. J. Frantzeskakis, P. G. Kevrekidis, R. Carretero-Gonzalez, Shuangquan Xie, Wenlong Wang","submitted_at":"2017-06-21T23:04:00Z","abstract_excerpt":"We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency $\\omega$ on the chemical potential $\\mu$, this is no longer true for a general potential $V(r) \\propto r^p$. Our calculations suggest that for $p>2$, the precession frequency scales with $\\mu$ as $\\omega \\sim \\mu^{-2/p}$. This theoretical prediction is corroborated by numerical computations, both at the level of spectral "},"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":"1706.07137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-21T23:04:00Z","cross_cats_sorted":["cond-mat.soft","nlin.PS"],"title_canon_sha256":"ee8e03addc9db274694d32f07674b24ea61795592b8690990e9279d2156aa28a","abstract_canon_sha256":"b94809a4d3de7406851c864b53e59487aa5c59f49d228d5ddc84b788315b098c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:42.594943Z","signature_b64":"WUmtdRT+pK+g+rzMyEmph6WVpJVPlGtiihTDrtwoiMxgsS+lfNo0zTQ7+J8R+ozIe3gX+dRi5Qx5i8tFpLX3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"595eb7652051812efa046a5c03f097300e423d45601fd36c23c3328f2a145828","last_reissued_at":"2026-05-18T00:32:42.594237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:42.594237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","nlin.PS"],"primary_cat":"cond-mat.quant-gas","authors_text":"D. J. Frantzeskakis, P. G. Kevrekidis, R. Carretero-Gonzalez, Shuangquan Xie, Wenlong Wang","submitted_at":"2017-06-21T23:04:00Z","abstract_excerpt":"We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency $\\omega$ on the chemical potential $\\mu$, this is no longer true for a general potential $V(r) \\propto r^p$. Our calculations suggest that for $p>2$, the precession frequency scales with $\\mu$ as $\\omega \\sim \\mu^{-2/p}$. This theoretical prediction is corroborated by numerical computations, both at the level of spectral "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07137","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":"1706.07137","created_at":"2026-05-18T00:32:42.594342+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.07137v2","created_at":"2026-05-18T00:32:42.594342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07137","created_at":"2026-05-18T00:32:42.594342+00:00"},{"alias_kind":"pith_short_12","alias_value":"LFPLOZJAKGAS","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LFPLOZJAKGAS56QE","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LFPLOZJA","created_at":"2026-05-18T12:31:28.150371+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/LFPLOZJAKGAS56QENJOAH4EXGA","json":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA.json","graph_json":"https://pith.science/api/pith-number/LFPLOZJAKGAS56QENJOAH4EXGA/graph.json","events_json":"https://pith.science/api/pith-number/LFPLOZJAKGAS56QENJOAH4EXGA/events.json","paper":"https://pith.science/paper/LFPLOZJA"},"agent_actions":{"view_html":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA","download_json":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA.json","view_paper":"https://pith.science/paper/LFPLOZJA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.07137&json=true","fetch_graph":"https://pith.science/api/pith-number/LFPLOZJAKGAS56QENJOAH4EXGA/graph.json","fetch_events":"https://pith.science/api/pith-number/LFPLOZJAKGAS56QENJOAH4EXGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA/action/storage_attestation","attest_author":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA/action/author_attestation","sign_citation":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA/action/citation_signature","submit_replication":"https://pith.science/pith/LFPLOZJAKGAS56QENJOAH4EXGA/action/replication_record"}},"created_at":"2026-05-18T00:32:42.594342+00:00","updated_at":"2026-05-18T00:32:42.594342+00:00"}