{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NFCZ2KB4ARJSX5CBOBG4HDQLGI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2b5d0e76c275a5590b96802198aecc8579509ce1a9f31ae860a7e73edf4e062d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-18T18:13:57Z","title_canon_sha256":"fc1491be0ff91c9d4377ecf6bb2a4e2d767665bcb4baacefa614daf82af53df4"},"schema_version":"1.0","source":{"id":"1404.4848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4848","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4848v1","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4848","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"pith_short_12","alias_value":"NFCZ2KB4ARJS","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NFCZ2KB4ARJSX5CB","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NFCZ2KB4","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:29a781c1c4c7405aa7c280b9703cde733e330b7ce45410812338545ed120421b","target":"graph","created_at":"2026-05-18T01:43:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary second-order transition, a first-order transition, even for weakly interacting Bose gas. In the present paper, it is shown that a self-consistent mean-field approach is the sole mean-field theory that provides the correct second-order condensation transition for Bose systems with atomic interactions of arbitrary strength, whether weak or strong.","authors_text":"E.P. Yukalova, V.I. Yukalov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-18T18:13:57Z","title":"Bose-Einstein condensation in self-consistent mean-field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4848","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fe23c5f7851a6c98997b7233cf1ad81303f69e5bbd46ff709cade0dcf696b641","target":"record","created_at":"2026-05-18T01:43:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2b5d0e76c275a5590b96802198aecc8579509ce1a9f31ae860a7e73edf4e062d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-18T18:13:57Z","title_canon_sha256":"fc1491be0ff91c9d4377ecf6bb2a4e2d767665bcb4baacefa614daf82af53df4"},"schema_version":"1.0","source":{"id":"1404.4848","kind":"arxiv","version":1}},"canonical_sha256":"69459d283c04532bf441704dc38e0b32234d2889b0ef7a84e4bf4a2c82e0495b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69459d283c04532bf441704dc38e0b32234d2889b0ef7a84e4bf4a2c82e0495b","first_computed_at":"2026-05-18T01:43:28.383683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:28.383683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B+2sC4+avKqEAZ/6t2R/l24crjNiQDg/BXjXenE0Z5moAMB4jf7sxdbP9sMILte9B/yRJCHIE+7qRNYjv0OXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:28.384605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe23c5f7851a6c98997b7233cf1ad81303f69e5bbd46ff709cade0dcf696b641","sha256:29a781c1c4c7405aa7c280b9703cde733e330b7ce45410812338545ed120421b"],"state_sha256":"635c7e27956d1f68e0918adcb448ac7052ddb810e7b789c77ee418b14f6ef0af"}