{"id":"W1987804797","doi":"10.1063/1.3576141","title":"Unusual ground states via monotonic convex pair potentials","year":2011,"lang":"en","type":"article","venue":"The Journal of Chemical Physics","topic":"Material Dynamics and Properties","field":"Materials Science","cited_by":42,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Basic Energy Sciences; Natural Sciences and Engineering Research Council of Canada; U.S. Department of Energy","keywords":"Monotonic function; Ground state; Maxima and minima; Isotropy; Regular polygon; Euclidean space; Euclidean geometry; Mathematics; Physics; Combinatorics; Statistical physics; Mathematical analysis; Quantum mechanics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005500056,0.0001173395,0.000249612,0.00001155379,0.00005444868,0.00004488001,0.0004380353,0.00004286063,0.000361096],"category_scores_gemma":[0.00001756478,0.00006736878,0.00008466337,0.00005203905,0.0001930596,0.000200411,0.00009461212,0.000137532,0.0000564324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002413232,"about_ca_system_score_gemma":0.00003597126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007443091,"about_ca_topic_score_gemma":3.315529e-7,"domain_scores_codex":[0.9990068,0.00009641804,0.0003732604,0.00007430907,0.0002476841,0.0002015468],"domain_scores_gemma":[0.999225,0.00006327333,0.0003229444,0.0001701041,0.0001459805,0.00007271873],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002472499,0.00006526859,0.000009512631,0.00001815576,0.000020071,0.000003239578,0.0009061577,0.0000238759,0.9970179,0.000559415,0.0002377985,0.0008913733],"study_design_scores_gemma":[0.0002004812,0.0001119475,0.0000433194,0.00002093688,0.00004968563,0.00003116632,0.00006411736,0.0008771042,0.9239519,0.07442638,0.0001232741,0.00009968717],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.996592,0.0001118328,0.002370541,0.0001081988,0.0004042281,0.00005745328,0.000008267432,0.00001326005,0.0003341465],"genre_scores_gemma":[0.9989967,0.0000418294,0.000440167,0.0001485651,0.0003200137,9.283515e-7,0.000001294076,0.00001495535,0.00003552318],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07386696,"threshold_uncertainty_score":0.3953748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02464034188526869,"score_gpt":0.2176254147898192,"score_spread":0.1929850729045505,"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."}}