{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XG54COG2O3PLTCUT2YYBP5S4BB","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":"92126f65a53d4969d73d43ee497297c8dbf11a8a143aee04fc73bb4145c85e51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-26T19:33:22Z","title_canon_sha256":"30ee3f3458ada46ce985c9f358a9c1e4fb165597c73314dec9ae6d3856262b6a"},"schema_version":"1.0","source":{"id":"1207.6382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6382","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6382v1","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6382","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"XG54COG2O3PL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XG54COG2O3PLTCUT","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XG54COG2","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:e2c4ba9ab8515fba6bae0494dabff829f2d0eed0b2a71120cbecfbd35cfec6ed","target":"graph","created_at":"2026-05-18T00:37:22Z","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":"Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried out in an explicitly number-conserving fashion, providing a common framework for the work of various authors; we also briefly consider issues of implementation, validity and application of such methods.","authors_text":"S. A. Gardiner, T. P. Billam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-26T19:33:22Z","title":"Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6382","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:cec81dd62e775d94caabe765c5fcc25843987ce45b96c84db44b2243a7ec6f4c","target":"record","created_at":"2026-05-18T00:37:22Z","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":"92126f65a53d4969d73d43ee497297c8dbf11a8a143aee04fc73bb4145c85e51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-26T19:33:22Z","title_canon_sha256":"30ee3f3458ada46ce985c9f358a9c1e4fb165597c73314dec9ae6d3856262b6a"},"schema_version":"1.0","source":{"id":"1207.6382","kind":"arxiv","version":1}},"canonical_sha256":"b9bbc138da76deb98a93d63017f65c0872fb4c419b3171c9ae1f4451ca65409f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9bbc138da76deb98a93d63017f65c0872fb4c419b3171c9ae1f4451ca65409f","first_computed_at":"2026-05-18T00:37:22.002438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:22.002438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+RxnO7qjayiRnVhzR7PzwF/2nTJgDL9gcYp4+Fi+57PUyOAYuKtYFqzv2xVUq2UQo6sARTQtd64juAIF9GCAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:22.003047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cec81dd62e775d94caabe765c5fcc25843987ce45b96c84db44b2243a7ec6f4c","sha256:e2c4ba9ab8515fba6bae0494dabff829f2d0eed0b2a71120cbecfbd35cfec6ed"],"state_sha256":"1f71b7cc1688894510803bc8525ee3eb64c1741d66440a8bc9f0fbe7ab507cd8"}