{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:LRIPGESNWOTCZQH3BLWDCBC7U3","short_pith_number":"pith:LRIPGESN","schema_version":"1.0","canonical_sha256":"5c50f3124db3a62cc0fb0aec31045fa6ca4fe732b84108a86c36aca173cae7ab","source":{"kind":"arxiv","id":"cond-mat/0602614","version":1},"attestation_state":"computed","paper":{"title":"Phase Transitions in Ultra-Cold Two-Dimensional Bose Gases","license":"","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.stat-mech","authors_text":"D. A. W. Hutchinson, P. B. Blakie","submitted_at":"2006-02-27T01:34:48Z","abstract_excerpt":"We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We obtain a phase diagram for the trapped two-dimensional gas, finding a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than that for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature, a phase coherent Bose-Einste"},"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/0602614","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-02-27T01:34:48Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"764171f7911aa7f536a9f56b8a5f26b041919a24cd28f2752daacce24269e32c","abstract_canon_sha256":"5b71619bbbec3e0b3e8d80f7bb0e9f2f133ea52572e4b9c2e4801a33f7a026b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:00:09.534424Z","signature_b64":"6KuBqkcvlU61PIIQhdzaFlHIIqA1s/zvBAp1j6RjPS3uBkygyaJ36IqqpBE8k9x3KGbGgtan1cplpgTq2OhoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c50f3124db3a62cc0fb0aec31045fa6ca4fe732b84108a86c36aca173cae7ab","last_reissued_at":"2026-07-04T17:00:09.533808Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:00:09.533808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase Transitions in Ultra-Cold Two-Dimensional Bose Gases","license":"","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.stat-mech","authors_text":"D. A. W. Hutchinson, P. B. Blakie","submitted_at":"2006-02-27T01:34:48Z","abstract_excerpt":"We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We obtain a phase diagram for the trapped two-dimensional gas, finding a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than that for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature, a phase coherent Bose-Einste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0602614","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0602614/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/0602614","created_at":"2026-07-04T17:00:09.533862+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0602614v1","created_at":"2026-07-04T17:00:09.533862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0602614","created_at":"2026-07-04T17:00:09.533862+00:00"},{"alias_kind":"pith_short_12","alias_value":"LRIPGESNWOTC","created_at":"2026-07-04T17:00:09.533862+00:00"},{"alias_kind":"pith_short_16","alias_value":"LRIPGESNWOTCZQH3","created_at":"2026-07-04T17:00:09.533862+00:00"},{"alias_kind":"pith_short_8","alias_value":"LRIPGESN","created_at":"2026-07-04T17:00:09.533862+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/LRIPGESNWOTCZQH3BLWDCBC7U3","json":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3.json","graph_json":"https://pith.science/api/pith-number/LRIPGESNWOTCZQH3BLWDCBC7U3/graph.json","events_json":"https://pith.science/api/pith-number/LRIPGESNWOTCZQH3BLWDCBC7U3/events.json","paper":"https://pith.science/paper/LRIPGESN"},"agent_actions":{"view_html":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3","download_json":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3.json","view_paper":"https://pith.science/paper/LRIPGESN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0602614&json=true","fetch_graph":"https://pith.science/api/pith-number/LRIPGESNWOTCZQH3BLWDCBC7U3/graph.json","fetch_events":"https://pith.science/api/pith-number/LRIPGESNWOTCZQH3BLWDCBC7U3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3/action/storage_attestation","attest_author":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3/action/author_attestation","sign_citation":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3/action/citation_signature","submit_replication":"https://pith.science/pith/LRIPGESNWOTCZQH3BLWDCBC7U3/action/replication_record"}},"created_at":"2026-07-04T17:00:09.533862+00:00","updated_at":"2026-07-04T17:00:09.533862+00:00"}