{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:45BXNMIZZMS5HXAPKSDN4SBW74","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":"7693cbdb5bfd097edb2131de09df54507b56041a0656be007123bc21e119d49e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T12:04:45Z","title_canon_sha256":"7e4ee09fb7457500f1dfd33be621d3af5bf08a7f8e69a6929dd3542ce2e9ea9a"},"schema_version":"1.0","source":{"id":"1510.03243","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03243","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03243v2","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03243","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"45BXNMIZZMS5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"45BXNMIZZMS5HXAP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"45BXNMIZ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:5db26a69777c16be543e28bf4c3646e3e340a36a7acc28bb9c26a9c593cfdc9c","target":"graph","created_at":"2026-05-18T00:48:54Z","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 consider a system of $N$ bosons confined to a thin waveguide, i.e.\\ to a region of space within an $\\varepsilon$-tube around a curve in $\\mathbb{R}^3$. We show that when taking simultaneously the NLS limit $N\\to \\infty$ and the limit of strong confinement $\\varepsilon\\to 0$, the time-evolution of such a system starting in a state close to a Bose-Einstein condensate is approximately captured by a non-linear Schr\\\"odinger equation in one dimension. The strength of the non-linearity in this Gross-Pitaevskii type equation depends on the shape of the cross-section of the waveguide, while the \"be","authors_text":"Johannes von Keler, Stefan Teufel","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T12:04:45Z","title":"The NLS limit for bosons in a quantum waveguide"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03243","kind":"arxiv","version":2},"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:e302f81991534c1be3b7dd77cde3babc3dc44d46eeec73685280e2afef841c4f","target":"record","created_at":"2026-05-18T00:48:54Z","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":"7693cbdb5bfd097edb2131de09df54507b56041a0656be007123bc21e119d49e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T12:04:45Z","title_canon_sha256":"7e4ee09fb7457500f1dfd33be621d3af5bf08a7f8e69a6929dd3542ce2e9ea9a"},"schema_version":"1.0","source":{"id":"1510.03243","kind":"arxiv","version":2}},"canonical_sha256":"e74376b119cb25d3dc0f5486de4836ff39daa08b68a77c053db171c5fef35757","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e74376b119cb25d3dc0f5486de4836ff39daa08b68a77c053db171c5fef35757","first_computed_at":"2026-05-18T00:48:54.915841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:54.915841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f2MSCs+qWbw5cn65AuUOwxLqkpszFswRn8NnmbONtttXFuK+TzKCHbEq5lyanT4B4Z6zuEqE0/3J0imwH/qMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:54.916712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03243","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e302f81991534c1be3b7dd77cde3babc3dc44d46eeec73685280e2afef841c4f","sha256:5db26a69777c16be543e28bf4c3646e3e340a36a7acc28bb9c26a9c593cfdc9c"],"state_sha256":"debe85bde8373059902b89f36c809b3d055eded798013631337c3d940339dd79"}