{"id":"W2081449709","doi":"10.1063/1.4748527","title":"Ground-state spaces of frustration-free Hamiltonians","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph; University of Waterloo","funders":"National Science Foundation","keywords":"Frustration; Semilattice; Ground state; Regular polygon; Space (punctuation); Physics; Mathematics; Join (topology); Combinatorics; Pure mathematics; Quantum mechanics; Condensed matter physics; Geometry; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.0004898799,0.0001476294,0.0004418092,0.00003886943,0.00004191082,0.00004274668,0.0002943428,0.0000288674,0.0001609208],"category_scores_gemma":[0.00003488139,0.0001127098,0.0002355393,0.0001241652,0.00009237048,0.0004993244,0.00004775857,0.0002112009,0.00006567296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002102085,"about_ca_system_score_gemma":0.00005716605,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000127746,"about_ca_topic_score_gemma":2.345138e-7,"domain_scores_codex":[0.9985006,0.00005898194,0.0006835083,0.00006487447,0.0004417304,0.0002503466],"domain_scores_gemma":[0.9984027,0.0002159205,0.0007663715,0.0002909383,0.0001764526,0.0001476069],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001917502,0.001100145,0.007813341,0.0002148489,0.0002843674,0.000001789942,0.002394651,0.00006949487,0.003301279,0.9794487,0.003744191,0.001607973],"study_design_scores_gemma":[0.0008385547,0.000172159,0.002127118,0.0002812267,0.0001539718,0.00001974862,0.001172191,0.001567039,0.00860622,0.9837785,0.001034152,0.0002491356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8951294,0.00005756255,0.09508798,0.0002725913,0.0002725806,0.0001215382,0.00001932355,0.000008219511,0.009030818],"genre_scores_gemma":[0.9950349,0.000001003408,0.003561642,0.00001057611,0.001096418,0.000002142833,0.00000116339,0.00002094561,0.0002711689],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09990555,"threshold_uncertainty_score":0.459617,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01971931497850713,"score_gpt":0.2623561403517172,"score_spread":0.2426368253732101,"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."}}