{"id":"W2883801513","doi":"10.1007/s00208-021-02326-z","title":"Schottky presentations of positive representations","year":2022,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Sherbrooke","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Construct (python library); Mathematics; Pure mathematics; Dimension (graph theory); Discontinuity (linguistics); Fock space; Space (punctuation); Order (exchange); Domain (mathematical analysis); Projective test; Algebra over a field; Mathematical analysis; Computer science; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009880431,0.0009401633,0.0006553265,0.003269877,0.002300874,0.005371239,0.0009197543,0.001398801,0.01431846],"category_scores_gemma":[0.002155036,0.0005184725,0.0006008848,0.002373286,0.003330268,0.006395843,0.0027075,0.002815969,0.001919191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001760668,"about_ca_system_score_gemma":0.0007138379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008562473,"about_ca_topic_score_gemma":0.0008568497,"domain_scores_codex":[0.9991809,0.0002240383,0.00003927952,0.0001155765,0.000287667,0.0001525147],"domain_scores_gemma":[0.9991609,0.0003189505,0.0001122301,0.00009481631,0.0001639832,0.0001491303],"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":[0.000009885543,0.000006183355,0.00003724722,0.00000821553,0.000001839558,0.00002235663,0.0001591428,0.0001582793,0.000251053,0.997533,0.0006345976,0.001178214],"study_design_scores_gemma":[0.000005795252,0.000003876995,0.0000663497,0.000004507166,0.000002539065,0.00004142871,0.00006914073,0.0006839109,0.0001501699,0.9968741,0.002092996,0.000005153868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3392605,0.002396812,0.1267851,0.007735868,0.0009563292,0.00006524612,0.0007515295,0.0005280318,0.5215207],"genre_scores_gemma":[0.9105403,0.001071884,0.01087963,0.0006132156,0.0008042415,0.00008822986,0.0003567017,0.0001712185,0.07547463],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01431846,"threshold_uncertainty_score":0.04790002,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0928988613955239,"score_gpt":0.3901776993643494,"score_spread":0.2972788379688255,"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."}}