{"id":"W4387435230","doi":"10.4153/s0008439523000784","title":"A new lower bound in the conjecture","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor; Carleton University","funders":"University of Cambridge","keywords":"Unimodular matrix; Mathematics; Conjecture; Combinatorics; Coprime integers; Upper and lower bounds; Constant (computer programming); Dimension (graph theory); Norm (philosophy); Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.004404907,0.0009933993,0.001955679,0.002528524,0.004762709,0.006350288,0.003080441,0.004236686,0.02430952],"category_scores_gemma":[0.02809914,0.001026355,0.001238542,0.002663804,0.006893191,0.01179316,0.006043224,0.009787323,0.003113418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00242565,"about_ca_system_score_gemma":0.0009633495,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001718122,"about_ca_topic_score_gemma":0.001165623,"domain_scores_codex":[0.99367,0.001202366,0.0002592871,0.001627848,0.001966633,0.001273829],"domain_scores_gemma":[0.9829707,0.01096218,0.0009515496,0.002534805,0.001628528,0.0009522571],"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":[0.0004011295,0.0001272736,0.002088505,0.0002879199,0.00003446507,0.0003323868,0.0005013464,0.005059898,0.001800071,0.9465805,0.0269592,0.01582719],"study_design_scores_gemma":[0.00008652337,0.0000710113,0.0007059795,0.000111331,0.0000363546,0.0005650128,0.0002133756,0.02203095,0.001870265,0.9504331,0.0238214,0.00005467338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3865418,0.005906972,0.1790473,0.04554951,0.003174119,0.0001648572,0.001748956,0.001751866,0.3761147],"genre_scores_gemma":[0.9506341,0.001149998,0.02539085,0.004565589,0.00197264,0.0001933802,0.001124619,0.0003138239,0.01465511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02430952,"threshold_uncertainty_score":0.08132344,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02639958018066891,"score_gpt":0.2721229204719368,"score_spread":0.2457233402912679,"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."}}