{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FYWWW5NJPRBFIXT5G6G2W2B7GO","short_pith_number":"pith:FYWWW5NJ","schema_version":"1.0","canonical_sha256":"2e2d6b75a97c42545e7d378dab683f339b44242d95e7fde3878c0dd18e3b02a7","source":{"kind":"arxiv","id":"1309.3205","version":2},"attestation_state":"computed","paper":{"title":"Cold Bose Atoms Around the Crossing of Quantum Waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"A. Markowsky, N. Schopohl","submitted_at":"2013-09-12T16:00:07Z","abstract_excerpt":"We show that massive low energy particles traversing a branching zone or a crossing of quantum waveguides may experience a non standard trapping force that cannot be derived from a potential. For interacting cold Bose atoms we report on the formation of a localised Hartree ground state for three prototype waveguide geometries with broken translational symmetry: a cranked L-shaped waveguide L, a T-shaped waveguide T, and the crossing C of two quantum waveguides. The phenomenon is kinetic energy driven and cannot be described within the Thomas-Fermi approximation. Depending on the ratio of joini"},"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":"1309.3205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-09-12T16:00:07Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","quant-ph"],"title_canon_sha256":"4a300b2ceedd544ce69ab52eae82ef121a6aff5f6eb4113d020d27de0c71b29e","abstract_canon_sha256":"e6d902ac4ee3ff7655dfc75736ea5217a9ba726744c84575bdf2a5cda0f4e9d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:58.474501Z","signature_b64":"xAooxj38It/xHvru9RiBtV8vMFUToLVx9gV+IYp07y//m/u6A7I/kRP400rb6f913LCBr/ayJsc0zhM7SRkWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e2d6b75a97c42545e7d378dab683f339b44242d95e7fde3878c0dd18e3b02a7","last_reissued_at":"2026-05-18T03:00:58.473836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:58.473836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cold Bose Atoms Around the Crossing of Quantum Waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"A. Markowsky, N. Schopohl","submitted_at":"2013-09-12T16:00:07Z","abstract_excerpt":"We show that massive low energy particles traversing a branching zone or a crossing of quantum waveguides may experience a non standard trapping force that cannot be derived from a potential. For interacting cold Bose atoms we report on the formation of a localised Hartree ground state for three prototype waveguide geometries with broken translational symmetry: a cranked L-shaped waveguide L, a T-shaped waveguide T, and the crossing C of two quantum waveguides. The phenomenon is kinetic energy driven and cannot be described within the Thomas-Fermi approximation. Depending on the ratio of joini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3205","kind":"arxiv","version":2},"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":"1309.3205","created_at":"2026-05-18T03:00:58.473934+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.3205v2","created_at":"2026-05-18T03:00:58.473934+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3205","created_at":"2026-05-18T03:00:58.473934+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYWWW5NJPRBF","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYWWW5NJPRBFIXT5","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYWWW5NJ","created_at":"2026-05-18T12:27:45.050594+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/FYWWW5NJPRBFIXT5G6G2W2B7GO","json":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO.json","graph_json":"https://pith.science/api/pith-number/FYWWW5NJPRBFIXT5G6G2W2B7GO/graph.json","events_json":"https://pith.science/api/pith-number/FYWWW5NJPRBFIXT5G6G2W2B7GO/events.json","paper":"https://pith.science/paper/FYWWW5NJ"},"agent_actions":{"view_html":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO","download_json":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO.json","view_paper":"https://pith.science/paper/FYWWW5NJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.3205&json=true","fetch_graph":"https://pith.science/api/pith-number/FYWWW5NJPRBFIXT5G6G2W2B7GO/graph.json","fetch_events":"https://pith.science/api/pith-number/FYWWW5NJPRBFIXT5G6G2W2B7GO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO/action/storage_attestation","attest_author":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO/action/author_attestation","sign_citation":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO/action/citation_signature","submit_replication":"https://pith.science/pith/FYWWW5NJPRBFIXT5G6G2W2B7GO/action/replication_record"}},"created_at":"2026-05-18T03:00:58.473934+00:00","updated_at":"2026-05-18T03:00:58.473934+00:00"}