{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6P72F5HEWHEGCBQ5MPGWM6YQ6B","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":"ccc6de5c0ad5e898204bcff4c6606bb0da9e5efda79c9019bc58ee7c647e0d1a","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-12T11:08:28Z","title_canon_sha256":"bc352f1d87a3b93889727b0e0bd3ec81db4146cefe7c6936abbf7bcc3c7953b0"},"schema_version":"1.0","source":{"id":"1403.2884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2884","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2884v1","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2884","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"6P72F5HEWHEG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6P72F5HEWHEGCBQ5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6P72F5HE","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:9413cdc7f5ac8769fdff2e61844423ef0a8f88bfb106c2600702b8e882353e98","target":"graph","created_at":"2026-05-18T01:44:02Z","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 the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmonic trap. Since the gas is assumed to be in a strong interaction regime, we have to analyze two combined singular limits: a semi-classical limit in the transport direction and the strong partial confinement limit in the transversal direction. We prove that both limits commute together and we provide convergence rates. The by-products of this work are approximated models in reduced dimension for the GPE, with a priori","authors_text":"Florian Mehats, Loic Le Treust, Weizhu Bao","cross_cats":["cond-mat.quant-gas","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-12T11:08:28Z","title":"Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2884","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":"sha256:3cf148c9d4cb261845af5b43a6a31ee43880ccfb11361b451dd559ea43cb9603","target":"record","created_at":"2026-05-18T01:44:02Z","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":"ccc6de5c0ad5e898204bcff4c6606bb0da9e5efda79c9019bc58ee7c647e0d1a","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-12T11:08:28Z","title_canon_sha256":"bc352f1d87a3b93889727b0e0bd3ec81db4146cefe7c6936abbf7bcc3c7953b0"},"schema_version":"1.0","source":{"id":"1403.2884","kind":"arxiv","version":1}},"canonical_sha256":"f3ffa2f4e4b1c861061d63cd667b10f0561717a9939c392b601aa8115ee0e54c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3ffa2f4e4b1c861061d63cd667b10f0561717a9939c392b601aa8115ee0e54c","first_computed_at":"2026-05-18T01:44:02.214066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:02.214066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KgJ9izzucCgmfSY/7JYIZEzk2jZbJNl+ECZ1ErLWc4wDKirDiZIv6rzKN/jct+U1Fm4wws1hQD8pb58REyO9Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:02.214775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cf148c9d4cb261845af5b43a6a31ee43880ccfb11361b451dd559ea43cb9603","sha256:9413cdc7f5ac8769fdff2e61844423ef0a8f88bfb106c2600702b8e882353e98"],"state_sha256":"fd1d1b93163c0bc9e4ae9ce514b3bedef9f7b6659f0bcf04e59ef7b8edca09fe"}