{"id":"W4412435891","doi":"10.55016/ojs/cdm.v11i2.62359","title":"On the Equation $\\displaystyle{\\sum_{i=1}^n \\frac{1}{x_i}=1} $ in Distinct Odd or Even Numbers","year":2017,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics","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":[0.002048861,0.0005395778,0.000847277,0.0001503828,0.001291083,0.0004357463,0.00142008,0.0002098493,0.0005607192],"category_scores_gemma":[0.06457485,0.0003377915,0.0002348724,0.0003406659,0.0004358373,0.0004023444,0.0004950475,0.0005212178,0.0007464847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004499479,"about_ca_system_score_gemma":0.0001292361,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001406881,"about_ca_topic_score_gemma":0.0002133367,"domain_scores_codex":[0.9965743,0.0001992974,0.001117981,0.0005262605,0.0007419423,0.0008402037],"domain_scores_gemma":[0.9886228,0.007418311,0.0007133806,0.002668778,0.000308645,0.0002680624],"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":[0.00009858189,0.0003172388,0.00004143393,0.0001672535,0.00005837691,0.00002062442,0.001527913,0.00004061358,0.0001117318,0.995079,0.002297124,0.0002400765],"study_design_scores_gemma":[0.0008872311,0.0001284017,0.0002405234,0.0008393858,0.0001057634,0.00001770262,0.001014859,0.004097176,0.0009600867,0.9902747,0.0009300445,0.0005041768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1332153,0.00003240589,0.7985179,0.0128194,0.0004657373,0.004572026,0.0008185571,0.0003907958,0.04916789],"genre_scores_gemma":[0.9668523,0.000007512425,0.02838642,0.000208579,0.0001633097,0.0006564984,0.00002694914,0.0001033914,0.003595035],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.833637,"threshold_uncertainty_score":0.9999074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07090141217410696,"score_gpt":0.3981647055043395,"score_spread":0.3272632933302326,"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."}}