{"id":"W4415556208","doi":"10.61091/jcmcc128-10","title":"Sharp bounds of partition resolvability of convex polytopes","year":2025,"lang":"","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Polytope; Convex polytope; Convex set; Absolutely convex set; Partition (number theory); Regular polygon; Dimension (graph theory); Convex analysis; Subderivative; Convex hull","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.007189874,0.001151227,0.005258385,0.001026831,0.0004539247,0.000251297,0.001666608,0.0009622686,0.00006210778],"category_scores_gemma":[0.01010347,0.001135689,0.001133435,0.001779308,0.001183524,0.0006256125,0.001211931,0.00160555,0.00000240496],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004322546,"about_ca_system_score_gemma":0.001371649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002680979,"about_ca_topic_score_gemma":9.836676e-7,"domain_scores_codex":[0.9865859,0.0007267313,0.008767362,0.0006903348,0.002254296,0.0009753761],"domain_scores_gemma":[0.9747887,0.007708139,0.01100274,0.001435177,0.004642088,0.0004231695],"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":[0.000812609,0.005357977,0.0004201558,0.01111235,0.001123265,0.00001540059,0.003622508,0.00005148638,0.00347879,0.9721042,0.0005255433,0.001375722],"study_design_scores_gemma":[0.01038238,0.002554724,0.0001048153,0.008223831,0.001608953,0.00004622447,0.002029634,0.003420308,0.02695694,0.9434446,0.0005001428,0.0007274156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9161199,0.003476934,0.02764656,0.0003722494,0.04555636,0.001907895,0.00005399457,0.00007352196,0.004792519],"genre_scores_gemma":[0.9777478,0.0003477263,0.02058792,0.00001953191,0.001122857,0.000006715207,0.00000292932,0.0001209204,0.00004362588],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06162781,"threshold_uncertainty_score":0.9991093,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02035651165267473,"score_gpt":0.3028676219790721,"score_spread":0.2825111103263974,"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."}}