{"id":"W4233445203","doi":"10.21694/2378-704x.17004","title":"Hodges Conjecture Clay Institute Millennium Problem Solution","year":2017,"lang":"en","type":"article","venue":"American Research Journal of Mathematics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Conjecture; Geology; Calculus (dental); Mathematics; Pure mathematics; Medicine; Dentistry","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":[0.004164783,0.000232643,0.0007083033,0.0003186924,0.001223786,0.0004959285,0.001541123,0.00009228045,0.00007205058],"category_scores_gemma":[0.003234177,0.0001726253,0.0002310922,0.0002519134,0.001839857,0.0003621982,0.0003197587,0.000883331,0.0000524248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001226586,"about_ca_system_score_gemma":0.0003816075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005885358,"about_ca_topic_score_gemma":0.00004762622,"domain_scores_codex":[0.9967684,0.0001564821,0.0009725138,0.0002085254,0.001324958,0.0005690962],"domain_scores_gemma":[0.9943252,0.001039037,0.00204597,0.001241494,0.001064344,0.000284001],"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":[0.0000683196,0.003295269,0.0004769414,0.002137398,0.0007483147,0.0001800275,0.008609787,0.00002683693,0.01496423,0.5198008,0.4208683,0.02882374],"study_design_scores_gemma":[0.001585111,0.001191443,0.0002937976,0.001451208,0.0002215817,0.0008624245,0.004893635,0.001998395,0.006500941,0.8870485,0.0932522,0.0007007583],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.74317,0.0006525396,0.1808605,0.02403487,0.0004765699,0.002325161,0.00005278349,0.0001300655,0.04829752],"genre_scores_gemma":[0.6078771,0.0004942903,0.3900365,0.00003167848,0.000373695,0.00003806565,0.000001247532,0.0000578416,0.001089579],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3672477,"threshold_uncertainty_score":0.9412496,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1929394126467314,"score_gpt":0.4698974896378809,"score_spread":0.2769580769911495,"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."}}