{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ADRBLQDD5O32BDJXQ5AYOZ7JFJ","short_pith_number":"pith:ADRBLQDD","schema_version":"1.0","canonical_sha256":"00e215c063ebb7a08d3787418767e92a616430020fa6bf1253f157168e341864","source":{"kind":"arxiv","id":"1705.09637","version":2},"attestation_state":"computed","paper":{"title":"Semiclassics in a system without classical limit: The few-body spectrum of two interacting bosons in one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Benjamin Geiger, Juan-Diego Urbina, Klaus Richter, Quirin Hummel","submitted_at":"2017-05-26T16:19:27Z","abstract_excerpt":"We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy spectrum is given by the solution of algebraic transcendental equations. By an exact mapping between $\\delta$-potentials and boundary conditions on the few-body wave functions, we are able to extend previous semiclassical results for single-particle systems with mixed boundary conditions to the two-body problem. The semiclassical approach allows us to derive expli"},"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":"1705.09637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-26T16:19:27Z","cross_cats_sorted":["nlin.SI","quant-ph"],"title_canon_sha256":"ff589e687d117657123fd349259fd976dd49bea1a7c4e0114a9ae9d16badb6b0","abstract_canon_sha256":"ae52a04e25d63783d9de54c128d73ac64763598c2006d8322392eac96b67338b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:20.569522Z","signature_b64":"pIbGFM79hXFI1/CfA/8aiIrAXIs9I8U7eCSL/S/bVbrd0eTrqeHZSXvb7cJanXbQnvIvashZsxzw3TBTXIpEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00e215c063ebb7a08d3787418767e92a616430020fa6bf1253f157168e341864","last_reissued_at":"2026-05-18T00:38:20.568965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:20.568965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semiclassics in a system without classical limit: The few-body spectrum of two interacting bosons in one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Benjamin Geiger, Juan-Diego Urbina, Klaus Richter, Quirin Hummel","submitted_at":"2017-05-26T16:19:27Z","abstract_excerpt":"We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy spectrum is given by the solution of algebraic transcendental equations. By an exact mapping between $\\delta$-potentials and boundary conditions on the few-body wave functions, we are able to extend previous semiclassical results for single-particle systems with mixed boundary conditions to the two-body problem. The semiclassical approach allows us to derive expli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09637","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":"1705.09637","created_at":"2026-05-18T00:38:20.569059+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.09637v2","created_at":"2026-05-18T00:38:20.569059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09637","created_at":"2026-05-18T00:38:20.569059+00:00"},{"alias_kind":"pith_short_12","alias_value":"ADRBLQDD5O32","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"ADRBLQDD5O32BDJX","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"ADRBLQDD","created_at":"2026-05-18T12:31:05.417338+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/ADRBLQDD5O32BDJXQ5AYOZ7JFJ","json":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ.json","graph_json":"https://pith.science/api/pith-number/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/graph.json","events_json":"https://pith.science/api/pith-number/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/events.json","paper":"https://pith.science/paper/ADRBLQDD"},"agent_actions":{"view_html":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ","download_json":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ.json","view_paper":"https://pith.science/paper/ADRBLQDD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.09637&json=true","fetch_graph":"https://pith.science/api/pith-number/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/action/storage_attestation","attest_author":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/action/author_attestation","sign_citation":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/action/citation_signature","submit_replication":"https://pith.science/pith/ADRBLQDD5O32BDJXQ5AYOZ7JFJ/action/replication_record"}},"created_at":"2026-05-18T00:38:20.569059+00:00","updated_at":"2026-05-18T00:38:20.569059+00:00"}