{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SU3UD5OABTJAZF4TIXT7YMYF2O","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":"f723b95b6e433c59b4f91ef22d5164d2981019f7f90e2d6582ef1f8a4c2d8ee4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-22T17:49:28Z","title_canon_sha256":"41b93a09e19d6ccf51420358ae0772360eb5fee3e5189ae838be2b70cf8accee"},"schema_version":"1.0","source":{"id":"0801.3428","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.3428","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"0801.3428v1","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.3428","created_at":"2026-05-18T04:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"SU3UD5OABTJA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SU3UD5OABTJAZF4T","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SU3UD5OA","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:54ce984b946d2fdfa8b5cdbc36670646ca803d614f148fac0014f9887d615a01","target":"graph","created_at":"2026-05-18T04:33:50Z","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 propose a versatile variational method to investigate the spatio-temporal dynamics of one-dimensional magnetically-trapped Bose-condensed gases. To this end we employ a \\emph{q}-Gaussian trial wave-function that interpolates between the low- and the high-density limit of the ground state of a Bose-condensed gas. Our main result consists of reducing the Gross-Pitaevskii equation, a nonlinear partial differential equation describing the T=0 dynamics of the condensate, to a set of only three equations: \\emph{two coupled nonlinear ordinary differential equations} describing the phase and the cu","authors_text":"Alexandru I. Nicolin, R. Carretero-Gonzalez","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-22T17:49:28Z","title":"Nonlinear dynamics of Bose-condensed gases by means of a low- to high-density variational approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.3428","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:ef32d8ba5a2c47ae1dda6e221ca6a816e83755e2b126fb47b3aa93addad26ff6","target":"record","created_at":"2026-05-18T04:33:50Z","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":"f723b95b6e433c59b4f91ef22d5164d2981019f7f90e2d6582ef1f8a4c2d8ee4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-22T17:49:28Z","title_canon_sha256":"41b93a09e19d6ccf51420358ae0772360eb5fee3e5189ae838be2b70cf8accee"},"schema_version":"1.0","source":{"id":"0801.3428","kind":"arxiv","version":1}},"canonical_sha256":"953741f5c00cd20c979345e7fc3305d3962b76ced3dffc0d760b251c37082cf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"953741f5c00cd20c979345e7fc3305d3962b76ced3dffc0d760b251c37082cf1","first_computed_at":"2026-05-18T04:33:50.017798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:50.017798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R1T6DTkvMy09WWXxPqKvlQeXXFi1Mi6GIjbdPHZltMzeDIJVLUOnLO1kwe8WMCxO1SyNFh4A1tCO83POAb6TBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:50.018251Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.3428","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef32d8ba5a2c47ae1dda6e221ca6a816e83755e2b126fb47b3aa93addad26ff6","sha256:54ce984b946d2fdfa8b5cdbc36670646ca803d614f148fac0014f9887d615a01"],"state_sha256":"5a038a8cddf1da5880511d950adb3f9b756a5787c060ccf6a01a59fa9e11b57b"}