{"paper":{"title":"Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap","arxiv_id":"cond-mat/0602483","primary_cat":"cond-mat.str-el","submitted_at":"2006-02-21T09:58:17+00:00","version_compiled":"v4"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v4","sentences":[{"i":0,"p":0.89,"id":"s0","own":true,"role":"contribution","text":"We investigate the ground state of the system of N bosons enclosed in a hard-wall trap interacting via a repulsive or attractive $\\delta$-function potential.","hedge":{"p":0.83,"label":"asserted"},"own_p":0.91,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.21,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.11,"limitation":0.0,"future_work":0.0,"contribution":0.89,"interpretation":0.0}},{"i":1,"p":0.87,"id":"s1","own":true,"role":"method","text":"Based on the Bethe ansatz method, the explicit ground state wave function is derived and the corresponding Bethe ansatz equations are solved numerically for the full physical regime from the Tonks limit to the strongly attractive limit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.87,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.13,"interpretation":0.0}},{"i":2,"p":0.99,"id":"s2","own":true,"role":"result","text":"It is shown that the solution takes different form in different regime.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":3,"p":0.92,"id":"s3","own":true,"role":"contribution","text":"We also evaluate the one body density matrix and second-order correlation function of the ground state for finite systems.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.96,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.05,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.92,"interpretation":0.0}},{"i":4,"p":0.99,"id":"s4","own":true,"role":"result","text":"In the Tonks limit the density profiles display the Fermi-like behavior, while in the strongly attractive limit the Bosons form a bound state of N atoms corresponding to the N-string solution.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.33,"quantitative":true,"quantitative_p":0.71,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"result","text":"The density profiles show the continuous crossover behavior in the entire regime.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":6,"p":0.95,"id":"s6","own":true,"role":"result","text":"Further the correlation function indicates that the Bose atoms bunch closer as the interaction constant decreases.","hedge":{"p":0.82,"label":"hedged_possibility"},"own_p":0.92,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.5,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.95,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.05}}]},"compiled":{"main_claim":{"p":0.63,"text":"The density profiles show the continuous crossover behavior in the entire regime.","location":"abstract s5","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":5497,"cost_usd_reported":0.000231},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.03,"states_limitation":0.11,"human_participants":0.01,"controlled_comparison":0.04,"randomized_assignment":0.01,"states_quantitative_result":0.08,"compares_with_prior_results":0.1,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.66,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":0.66,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.34}},"contribution_type":{"p":0.95,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.05,"theoretical_result":0.95,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.99,"text":"Based on the Bethe ansatz method, the explicit ground state wave function is derived and the corresponding Bethe ansatz equations are solved numerically for the full physical regime from the Tonks limit to the strongly attractive limit.","location":"abstract s1"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v4"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":7,"sentences_in_abstract":7},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}