{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ODLHYGKXNWEK2CFDF7G7HKSNQY","short_pith_number":"pith:ODLHYGKX","schema_version":"1.0","canonical_sha256":"70d67c19576d88ad08a32fcdf3aa4d862473de8bd5b9b737882d5050fdb7a962","source":{"kind":"arxiv","id":"1108.3276","version":1},"attestation_state":"computed","paper":{"title":"Number fluctuations of cold spatially split bosonic objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Alexej I. Streltsov, Kaspar Sakmann, Lorenz S. Cederbaum, Ofir E. Alon","submitted_at":"2011-08-16T16:40:30Z","abstract_excerpt":"We investigate the number fluctuations of spatially split many-boson systems employing a theorem about the maximally and minimally attainable variances of an observable. The number fluctuations of many-boson systems are given for different numbers of lattice sites and both mean-field and many-body wave functions. It is shown which states maximize the particle number fluctuations, both in lattices and double-wells. The fragmentation of the states is discussed, and it is shown that the number fluctuations of some fragmented states are identical to those of fully condensed states."},"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":"1108.3276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-16T16:40:30Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"c6715ec9aad89017606a5fe0f16f5c1d2b10562c4d263c72f602129700f16630","abstract_canon_sha256":"8e2f5b49e2d3d7ac2a0b51094571f2a7f5578c081a76afab57f46a33d748e8aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:11.835647Z","signature_b64":"SlyILc2Rf9TCewlxrI9ejKqBtqv1WbOSBFHbIVTqHDcD5zg7spBUO9ztXsk6uOkm9NqgQiWW+nNRTF9T7A3MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70d67c19576d88ad08a32fcdf3aa4d862473de8bd5b9b737882d5050fdb7a962","last_reissued_at":"2026-05-18T04:02:11.835129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:11.835129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Number fluctuations of cold spatially split bosonic objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Alexej I. Streltsov, Kaspar Sakmann, Lorenz S. Cederbaum, Ofir E. Alon","submitted_at":"2011-08-16T16:40:30Z","abstract_excerpt":"We investigate the number fluctuations of spatially split many-boson systems employing a theorem about the maximally and minimally attainable variances of an observable. The number fluctuations of many-boson systems are given for different numbers of lattice sites and both mean-field and many-body wave functions. It is shown which states maximize the particle number fluctuations, both in lattices and double-wells. The fragmentation of the states is discussed, and it is shown that the number fluctuations of some fragmented states are identical to those of fully condensed states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3276","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":"1108.3276","created_at":"2026-05-18T04:02:11.835204+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.3276v1","created_at":"2026-05-18T04:02:11.835204+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3276","created_at":"2026-05-18T04:02:11.835204+00:00"},{"alias_kind":"pith_short_12","alias_value":"ODLHYGKXNWEK","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"ODLHYGKXNWEK2CFD","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"ODLHYGKX","created_at":"2026-05-18T12:26:37.096874+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/ODLHYGKXNWEK2CFDF7G7HKSNQY","json":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY.json","graph_json":"https://pith.science/api/pith-number/ODLHYGKXNWEK2CFDF7G7HKSNQY/graph.json","events_json":"https://pith.science/api/pith-number/ODLHYGKXNWEK2CFDF7G7HKSNQY/events.json","paper":"https://pith.science/paper/ODLHYGKX"},"agent_actions":{"view_html":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY","download_json":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY.json","view_paper":"https://pith.science/paper/ODLHYGKX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.3276&json=true","fetch_graph":"https://pith.science/api/pith-number/ODLHYGKXNWEK2CFDF7G7HKSNQY/graph.json","fetch_events":"https://pith.science/api/pith-number/ODLHYGKXNWEK2CFDF7G7HKSNQY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY/action/storage_attestation","attest_author":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY/action/author_attestation","sign_citation":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY/action/citation_signature","submit_replication":"https://pith.science/pith/ODLHYGKXNWEK2CFDF7G7HKSNQY/action/replication_record"}},"created_at":"2026-05-18T04:02:11.835204+00:00","updated_at":"2026-05-18T04:02:11.835204+00:00"}