{"id":"W4414433673","doi":"10.48550/arxiv.2508.20184","title":"$su(2)$ symmetry of XX spin chains","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symmetry (geometry); Chain (unit); Spin (aerodynamics); Symmetry group; Transverse plane; Exact solutions in general relativity; Order (exchange)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002883331,0.00040491,0.0007637725,0.000212008,0.00006981589,0.00004223227,0.0007046234,0.0002191738,0.0003201094],"category_scores_gemma":[0.00001991532,0.0004125259,0.0004045506,0.0002348006,0.00008502832,0.00005189536,0.0009115258,0.0006922684,0.0002365186],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005669047,"about_ca_system_score_gemma":0.0002863595,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001596134,"about_ca_topic_score_gemma":0.000006963047,"domain_scores_codex":[0.9979432,0.00010867,0.000679993,0.0006355241,0.0002540085,0.0003786419],"domain_scores_gemma":[0.9979516,0.0000843386,0.0005168705,0.001214592,0.0001360194,0.0000965744],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.000009348903,0.0001657466,0.9022231,0.0005589928,0.0004157876,0.000003145028,0.0002608482,0.00008234675,0.0005495242,0.09171373,0.002364461,0.001653029],"study_design_scores_gemma":[0.003161779,0.0002649212,0.8397986,0.006606071,0.000969131,0.000002459884,0.002365034,0.0122071,0.04281996,0.02534973,0.06264066,0.003814585],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9560697,0.0002985243,0.0025828,0.0002142807,0.001876708,0.0005179269,0.0002956496,0.00007520887,0.03806917],"genre_scores_gemma":[0.9912429,0.000006547714,0.0001123256,0.0000491505,0.001043156,0.00008732401,0.0001529302,0.0000368091,0.007268884],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.066364,"threshold_uncertainty_score":0.9998326,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02723241065180487,"score_gpt":0.2892066564668709,"score_spread":0.2619742458150661,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}