{"id":"W4313522104","doi":"10.21203/rs.3.rs-2399252/v1","title":"On the Distribution of Alexander Polynomials in Certain Families of Closed Braids","year":2023,"lang":"en","type":"preprint","venue":"Research Square","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Braid; Mathematics; Distribution (mathematics); Class (philosophy); Arithmetic; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis; Artificial intelligence","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.005592026,0.0002076221,0.0006882687,0.0003370299,0.00006033624,0.00003770797,0.0006077437,0.0003465836,0.0002425867],"category_scores_gemma":[0.01185144,0.0001379364,0.0002419945,0.0005245819,0.0002982126,0.00002239689,0.0007949942,0.001068671,0.00002358026],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001448344,"about_ca_system_score_gemma":0.000197706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004461587,"about_ca_topic_score_gemma":0.0001565541,"domain_scores_codex":[0.9963787,0.0007963388,0.0008345812,0.0003374937,0.001224166,0.0004287309],"domain_scores_gemma":[0.9868664,0.01145666,0.0002635493,0.0009801898,0.0003689495,0.00006426608],"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":[0.0001203344,0.0006320882,0.0007783335,0.007005653,0.0001116288,0.00001006475,0.001024539,0.0001945581,0.0004799855,0.9813184,0.007622056,0.0007024085],"study_design_scores_gemma":[0.0002808037,0.0001506185,0.007244854,0.002600818,0.00001363824,2.922816e-7,0.001059535,0.009666527,0.001055155,0.9777206,0.00005455507,0.000152645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.989217,0.00006622653,0.001842491,0.00150437,0.00007843286,0.001841502,0.001135263,0.00003589772,0.004278759],"genre_scores_gemma":[0.9982498,0.0001548407,0.0001734326,0.00000586029,0.00003805363,0.0001646766,0.0001484047,0.00004148477,0.001023485],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01066033,"threshold_uncertainty_score":0.9964722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2040321725656703,"score_gpt":0.4477920230882987,"score_spread":0.2437598505226284,"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."}}