{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:LK4LMPSEWJQJWOSXBEIOVUFP27","short_pith_number":"pith:LK4LMPSE","schema_version":"1.0","canonical_sha256":"5ab8b63e44b2609b3a570910ead0afd7ff1cafa3c95ad3092b49f9997bc4eb2e","source":{"kind":"arxiv","id":"cond-mat/0701695","version":1},"attestation_state":"computed","paper":{"title":"Extension of the Thomas-Fermi approximation for trapped Bose-Einstein condensates with an arbitrary number of atoms","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Mu\\~noz Mateo, V. Delgado (Univ. La Laguna)","submitted_at":"2007-01-29T00:36:28Z","abstract_excerpt":"By incorporating the zero-point energy contribution we derive simple and accurate extensions of the usual Thomas-Fermi (TF) expressions for the ground-state properties of trapped Bose-Einstein condensates that remain valid for an arbitrary number of atoms in the mean-field regime. Specifically, we obtain approximate analytical expressions for the ground-state properties of spherical, cigar-shaped, and disk-shaped condensates that reduce to the correct analytical formulas in both the TF and the perturbative regimes, and remain valid and accurate in between these two limiting cases. Mean-field q"},"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/0701695","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-01-29T00:36:28Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"f95073075c9670d449ed4c898c9289cee6e29e328cbd095c128a8c05504837c1","abstract_canon_sha256":"ba578a8547f33eb8dcabec62323acdf23383e88e5b174b88bb852b6546e01eb6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:20.971909Z","signature_b64":"10AcdNV7wURkrxpC2TbpiIKXcd2wb9TroiEV3A15AMOHMocNTCTZ+3xqQxiUFLJz2sxQ0qfeofEH+nyRMYnpBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ab8b63e44b2609b3a570910ead0afd7ff1cafa3c95ad3092b49f9997bc4eb2e","last_reissued_at":"2026-05-18T01:09:20.971081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:20.971081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extension of the Thomas-Fermi approximation for trapped Bose-Einstein condensates with an arbitrary number of atoms","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Mu\\~noz Mateo, V. Delgado (Univ. La Laguna)","submitted_at":"2007-01-29T00:36:28Z","abstract_excerpt":"By incorporating the zero-point energy contribution we derive simple and accurate extensions of the usual Thomas-Fermi (TF) expressions for the ground-state properties of trapped Bose-Einstein condensates that remain valid for an arbitrary number of atoms in the mean-field regime. Specifically, we obtain approximate analytical expressions for the ground-state properties of spherical, cigar-shaped, and disk-shaped condensates that reduce to the correct analytical formulas in both the TF and the perturbative regimes, and remain valid and accurate in between these two limiting cases. Mean-field q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0701695","kind":"arxiv","version":1},"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/0701695","created_at":"2026-05-18T01:09:20.971217+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0701695v1","created_at":"2026-05-18T01:09:20.971217+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0701695","created_at":"2026-05-18T01:09:20.971217+00:00"},{"alias_kind":"pith_short_12","alias_value":"LK4LMPSEWJQJ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"LK4LMPSEWJQJWOSX","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"LK4LMPSE","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/LK4LMPSEWJQJWOSXBEIOVUFP27","json":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27.json","graph_json":"https://pith.science/api/pith-number/LK4LMPSEWJQJWOSXBEIOVUFP27/graph.json","events_json":"https://pith.science/api/pith-number/LK4LMPSEWJQJWOSXBEIOVUFP27/events.json","paper":"https://pith.science/paper/LK4LMPSE"},"agent_actions":{"view_html":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27","download_json":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27.json","view_paper":"https://pith.science/paper/LK4LMPSE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0701695&json=true","fetch_graph":"https://pith.science/api/pith-number/LK4LMPSEWJQJWOSXBEIOVUFP27/graph.json","fetch_events":"https://pith.science/api/pith-number/LK4LMPSEWJQJWOSXBEIOVUFP27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27/action/storage_attestation","attest_author":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27/action/author_attestation","sign_citation":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27/action/citation_signature","submit_replication":"https://pith.science/pith/LK4LMPSEWJQJWOSXBEIOVUFP27/action/replication_record"}},"created_at":"2026-05-18T01:09:20.971217+00:00","updated_at":"2026-05-18T01:09:20.971217+00:00"}