{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:IZISMNZETGCQI7ET3TZP7KBIQM","short_pith_number":"pith:IZISMNZE","schema_version":"1.0","canonical_sha256":"46512637249985047c93dcf2ffa8288302a7e539d6c4f21f2d7eaa4cbe4d58d3","source":{"kind":"arxiv","id":"0708.0092","version":2},"attestation_state":"computed","paper":{"title":"Fluctuations of a weakly interacting Bose-Einstein condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"K. Rzazewski, L. Zawitkowski, M. Gajda, Z. Idziaszek","submitted_at":"2007-08-01T08:51:33Z","abstract_excerpt":"Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a recursive scheme for smaller systems, and a saddle-point approximation for larger samples, that allows to treat realistic size systems containing up to $N \\sim 10^5$ particles. We point out the importance of particle-number constrain and interactions between out of condensate atoms for the statistics near the critical region. For sufficiently large systems the "},"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":"0708.0092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-01T08:51:33Z","cross_cats_sorted":[],"title_canon_sha256":"2fe321a2e8ac6538c5f7bdbe7ff009e87f32e03e02d235c673670a014ec8481d","abstract_canon_sha256":"60ea7450728e708d797319dab585adc3260dfd1e7c81046d2bba57375bb65e80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:29.000532Z","signature_b64":"phGC/XQWBU4uu9g5FAUr/2K8WWJ9okrMgM1ZW3hVBsUmUNdT3UEHQgmpf1LIKqc5pGZc0RO74sFzNwsM5fj1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46512637249985047c93dcf2ffa8288302a7e539d6c4f21f2d7eaa4cbe4d58d3","last_reissued_at":"2026-05-18T02:16:28.999810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:28.999810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuations of a weakly interacting Bose-Einstein condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"K. Rzazewski, L. Zawitkowski, M. Gajda, Z. Idziaszek","submitted_at":"2007-08-01T08:51:33Z","abstract_excerpt":"Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a recursive scheme for smaller systems, and a saddle-point approximation for larger samples, that allows to treat realistic size systems containing up to $N \\sim 10^5$ particles. We point out the importance of particle-number constrain and interactions between out of condensate atoms for the statistics near the critical region. For sufficiently large systems the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0092","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":"0708.0092","created_at":"2026-05-18T02:16:28.999934+00:00"},{"alias_kind":"arxiv_version","alias_value":"0708.0092v2","created_at":"2026-05-18T02:16:28.999934+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0092","created_at":"2026-05-18T02:16:28.999934+00:00"},{"alias_kind":"pith_short_12","alias_value":"IZISMNZETGCQ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"IZISMNZETGCQI7ET","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"IZISMNZE","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/IZISMNZETGCQI7ET3TZP7KBIQM","json":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM.json","graph_json":"https://pith.science/api/pith-number/IZISMNZETGCQI7ET3TZP7KBIQM/graph.json","events_json":"https://pith.science/api/pith-number/IZISMNZETGCQI7ET3TZP7KBIQM/events.json","paper":"https://pith.science/paper/IZISMNZE"},"agent_actions":{"view_html":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM","download_json":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM.json","view_paper":"https://pith.science/paper/IZISMNZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0708.0092&json=true","fetch_graph":"https://pith.science/api/pith-number/IZISMNZETGCQI7ET3TZP7KBIQM/graph.json","fetch_events":"https://pith.science/api/pith-number/IZISMNZETGCQI7ET3TZP7KBIQM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM/action/storage_attestation","attest_author":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM/action/author_attestation","sign_citation":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM/action/citation_signature","submit_replication":"https://pith.science/pith/IZISMNZETGCQI7ET3TZP7KBIQM/action/replication_record"}},"created_at":"2026-05-18T02:16:28.999934+00:00","updated_at":"2026-05-18T02:16:28.999934+00:00"}