{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:IJAXT3OXH3JBR7REMTYBWJKUVF","short_pith_number":"pith:IJAXT3OX","schema_version":"1.0","canonical_sha256":"424179edd73ed218fe2464f01b2554a95ef42c9e746c38fa54a86b9517daa75f","source":{"kind":"arxiv","id":"cond-mat/0701764","version":2},"attestation_state":"computed","paper":{"title":"Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Mu\\~noz Mateo, V. Delgado (Univ. La Laguna)","submitted_at":"2007-01-31T02:28:02Z","abstract_excerpt":"We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary cylindrically symmetric harmonic traps. Our formulation is even applicable for condensates containing a multiply quantized axisymmetric vortex. We have checked the validity of our formulas by numerically solving the 3D Gross-Pitaevskii equation."},"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":"cond-mat/0701764","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-01-31T02:28:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"693aa82f970cf157cf87d61aa844aaef141ddebb60317d23b8edf08136b24155","abstract_canon_sha256":"cfb7f51cf756362db49695d4c76f6bee97e90ce345f38b25410685627cc2f63b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:20.962183Z","signature_b64":"U6SvN5VQR0rCMvMCi9xbwdMImMAHkktFgemr65zXxPNnCKvwYeji0Rb9l3WoFQA1FKXuWZEK3utd4MWsW60zCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"424179edd73ed218fe2464f01b2554a95ef42c9e746c38fa54a86b9517daa75f","last_reissued_at":"2026-05-18T01:09:20.961559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:20.961559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Mu\\~noz Mateo, V. Delgado (Univ. La Laguna)","submitted_at":"2007-01-31T02:28:02Z","abstract_excerpt":"We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary cylindrically symmetric harmonic traps. Our formulation is even applicable for condensates containing a multiply quantized axisymmetric vortex. We have checked the validity of our formulas by numerically solving the 3D Gross-Pitaevskii equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0701764","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":"cond-mat/0701764","created_at":"2026-05-18T01:09:20.961659+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0701764v2","created_at":"2026-05-18T01:09:20.961659+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0701764","created_at":"2026-05-18T01:09:20.961659+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJAXT3OXH3JB","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJAXT3OXH3JBR7RE","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJAXT3OX","created_at":"2026-05-18T12:25:55.427421+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/IJAXT3OXH3JBR7REMTYBWJKUVF","json":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF.json","graph_json":"https://pith.science/api/pith-number/IJAXT3OXH3JBR7REMTYBWJKUVF/graph.json","events_json":"https://pith.science/api/pith-number/IJAXT3OXH3JBR7REMTYBWJKUVF/events.json","paper":"https://pith.science/paper/IJAXT3OX"},"agent_actions":{"view_html":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF","download_json":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF.json","view_paper":"https://pith.science/paper/IJAXT3OX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0701764&json=true","fetch_graph":"https://pith.science/api/pith-number/IJAXT3OXH3JBR7REMTYBWJKUVF/graph.json","fetch_events":"https://pith.science/api/pith-number/IJAXT3OXH3JBR7REMTYBWJKUVF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF/action/storage_attestation","attest_author":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF/action/author_attestation","sign_citation":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF/action/citation_signature","submit_replication":"https://pith.science/pith/IJAXT3OXH3JBR7REMTYBWJKUVF/action/replication_record"}},"created_at":"2026-05-18T01:09:20.961659+00:00","updated_at":"2026-05-18T01:09:20.961659+00:00"}