{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GTPRJIOSDD2FXTEVXJBRNFTJHH","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":"8b966877823d6c62a5c960932d38c37121740238e14c60433bc062a1d0af4faa","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-24T11:39:48Z","title_canon_sha256":"e1b183e71bbc0550fbee539e89c5f1df565538bab4bdc51797ea0e909322d77a"},"schema_version":"1.0","source":{"id":"1701.06821","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06821","created_at":"2026-05-17T23:48:57Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06821v4","created_at":"2026-05-17T23:48:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06821","created_at":"2026-05-17T23:48:57Z"},{"alias_kind":"pith_short_12","alias_value":"GTPRJIOSDD2F","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GTPRJIOSDD2FXTEV","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GTPRJIOS","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:b8c32269faf56c709d9d3335ba0a7487c18a4e35cd75c8ebed344abb08a889c7","target":"graph","created_at":"2026-05-17T23:48:57Z","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":"We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. We define $phase$ $fluctuations$ from the full single-particle density matrix by the spatial decay exponent of off-diagonal long-range order. In a regime of mesoscopic particle numbers and moderate contact couplings, we derive the spatial dependence of the amplitude of phase fluctuations, determined from the {\\em self-consistently} derived shape of the field operator orbitals and Fock space orbital occupatio","authors_text":"Oleksandr V. Marchukov, Uwe R. Fischer","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-24T11:39:48Z","title":"Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06821","kind":"arxiv","version":4},"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":"sha256:550cdbf06955d9e71e1888e9211c2876cafe2a344ac5a5915393f896b28fcb43","target":"record","created_at":"2026-05-17T23:48:57Z","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":"8b966877823d6c62a5c960932d38c37121740238e14c60433bc062a1d0af4faa","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-24T11:39:48Z","title_canon_sha256":"e1b183e71bbc0550fbee539e89c5f1df565538bab4bdc51797ea0e909322d77a"},"schema_version":"1.0","source":{"id":"1701.06821","kind":"arxiv","version":4}},"canonical_sha256":"34df14a1d218f45bcc95ba4316966939d12c673d40d8ff33a2056c48b5f06f51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34df14a1d218f45bcc95ba4316966939d12c673d40d8ff33a2056c48b5f06f51","first_computed_at":"2026-05-17T23:48:57.515133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:57.515133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yfnJfAeUNZeoOeLjUUJGh1dubROgB0Q8i//Dfurc024RQptMIEumfgmUs3vL1zbIj8/c2A+k/iWKa55IEu/ABQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:57.515664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06821","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:550cdbf06955d9e71e1888e9211c2876cafe2a344ac5a5915393f896b28fcb43","sha256:b8c32269faf56c709d9d3335ba0a7487c18a4e35cd75c8ebed344abb08a889c7"],"state_sha256":"ea8bbbece8ec6222d52fbd632f0ebf31a3c3f9934a9975b745c319a57ce59c0e"}