{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WPEVE7CID4545A5Q5WL6EDUL3M","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":"a6d886bc9ef3d74e89d2d9d2685d8c50ce53833e2d460b30330974e9915c5283","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-24T19:44:25Z","title_canon_sha256":"3a65cb32f28c33feb0f8c93e8da0d59b8c3c33d48983b15818a9435a90976c54"},"schema_version":"1.0","source":{"id":"1502.06924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06924","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06924v1","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06924","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"pith_short_12","alias_value":"WPEVE7CID454","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPEVE7CID4545A5Q","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPEVE7CI","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:437cb0ac3e42dbf898f221098315e69aa7fa592137fb5f2c833e88da9e94c3dc","target":"graph","created_at":"2026-05-18T02:26:24Z","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":"The impact of interparticle correlations on the behavior of Bose-Einstein Condensates (BECs) is discussed using two approaches. In the first approach, the wavefunction of a BEC is encoded in the $N$-particle sector of an extended \"catalytic state\". Going to a time-dependent interaction picture, we can organize the effective Hamiltonian by powers of ${N}^{-1/2}$. Requiring the terms of order ${N}^{1/2}$ to vanish, we get the Gross-Pitaevskii Equation. Going to the next order, $N^0$, we obtain the number-conserving Bogoliubov approximation. Our approach allows one to stay in the Schr\\\"{o}dinger ","authors_text":"Zhang Jiang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-24T19:44:25Z","title":"Particle Correlations in Bose-Einstein Condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06924","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":"sha256:72edf3a7a0b469f11e19d3975134139a6dbbb6cd609ca558f5e86226ec23d44c","target":"record","created_at":"2026-05-18T02:26:24Z","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":"a6d886bc9ef3d74e89d2d9d2685d8c50ce53833e2d460b30330974e9915c5283","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-24T19:44:25Z","title_canon_sha256":"3a65cb32f28c33feb0f8c93e8da0d59b8c3c33d48983b15818a9435a90976c54"},"schema_version":"1.0","source":{"id":"1502.06924","kind":"arxiv","version":1}},"canonical_sha256":"b3c9527c481f3bce83b0ed97e20e8bdb0e98b3127fa2a083376e7f94c38ddb7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3c9527c481f3bce83b0ed97e20e8bdb0e98b3127fa2a083376e7f94c38ddb7a","first_computed_at":"2026-05-18T02:26:24.137534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:24.137534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UTg7WlGPT46+iZCoMRbXhBknmu2HWM8uZRSoEHDk2WQhjxlThju1eACt56J2e60LGOju9bDdzKoCWlWTxg2OCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:24.138022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72edf3a7a0b469f11e19d3975134139a6dbbb6cd609ca558f5e86226ec23d44c","sha256:437cb0ac3e42dbf898f221098315e69aa7fa592137fb5f2c833e88da9e94c3dc"],"state_sha256":"01524d2e998b4e487faf055f704f06c06c2bea9ff26dbde87784353949e99af1"}