{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MGR4ZGBBHRRXMZNMBO2Z5OB5X2","short_pith_number":"pith:MGR4ZGBB","schema_version":"1.0","canonical_sha256":"61a3cc98213c637665ac0bb59eb83dbe81decc8a2cf6b8a9edb2cd8bc78dd736","source":{"kind":"arxiv","id":"1812.09933","version":1},"attestation_state":"computed","paper":{"title":"Variance of a Trapped Bose-Einstein Condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ofir E. Alon","submitted_at":"2018-12-24T15:15:20Z","abstract_excerpt":"The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the $x$ and $y$ axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being $100\\%$ condensed, and the respective energies per particle and densities per particle to coincide."},"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":"1812.09933","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-24T15:15:20Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"595c8e7a60bd776607c3fa1528dbe93b4fe8438a2f02a1116825303272d89c0b","abstract_canon_sha256":"870230a92c334d5188bb9b4c947ed10503e69e49229375fca09177cf0c2f80f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:17.637984Z","signature_b64":"Aqp+ybx352bnIZwP1qtJDQOGcdbAuKh80NC9dgJ6XFZ3WPJLEMUTSB0rEOYHPwLImAMDygAEWoFBAeOFxJKoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61a3cc98213c637665ac0bb59eb83dbe81decc8a2cf6b8a9edb2cd8bc78dd736","last_reissued_at":"2026-05-17T23:41:17.637241Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:17.637241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variance of a Trapped Bose-Einstein Condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ofir E. Alon","submitted_at":"2018-12-24T15:15:20Z","abstract_excerpt":"The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the $x$ and $y$ axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being $100\\%$ condensed, and the respective energies per particle and densities per particle to coincide."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09933","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":"1812.09933","created_at":"2026-05-17T23:41:17.637381+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.09933v1","created_at":"2026-05-17T23:41:17.637381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09933","created_at":"2026-05-17T23:41:17.637381+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGR4ZGBBHRRX","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGR4ZGBBHRRXMZNM","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGR4ZGBB","created_at":"2026-05-18T12:32:37.024351+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/MGR4ZGBBHRRXMZNMBO2Z5OB5X2","json":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2.json","graph_json":"https://pith.science/api/pith-number/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/graph.json","events_json":"https://pith.science/api/pith-number/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/events.json","paper":"https://pith.science/paper/MGR4ZGBB"},"agent_actions":{"view_html":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2","download_json":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2.json","view_paper":"https://pith.science/paper/MGR4ZGBB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.09933&json=true","fetch_graph":"https://pith.science/api/pith-number/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/graph.json","fetch_events":"https://pith.science/api/pith-number/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/action/storage_attestation","attest_author":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/action/author_attestation","sign_citation":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/action/citation_signature","submit_replication":"https://pith.science/pith/MGR4ZGBBHRRXMZNMBO2Z5OB5X2/action/replication_record"}},"created_at":"2026-05-17T23:41:17.637381+00:00","updated_at":"2026-05-17T23:41:17.637381+00:00"}