{"id":"W2965929356","doi":"10.1007/s00222-022-01177-y","title":"Equal sums in random sets and the concentration of divisors","year":2023,"lang":"lv","type":"article","venue":"Inventiones mathematicae","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; University of Oxford; National Science Foundation","keywords":"Algorithm; Computer science","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":[0.01043147,0.001104975,0.003426364,0.006743322,0.003126349,0.008241034,0.003968892,0.00239292,0.01336281],"category_scores_gemma":[0.08251724,0.001603191,0.001935023,0.003884145,0.009866294,0.0108128,0.005969594,0.002674733,0.001290424],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003950342,"about_ca_system_score_gemma":0.001007838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001921967,"about_ca_topic_score_gemma":0.001077021,"domain_scores_codex":[0.9918498,0.002880738,0.0004837184,0.002036486,0.00163655,0.001112824],"domain_scores_gemma":[0.9105068,0.06969351,0.006847657,0.005638286,0.002964074,0.004349793],"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":[0.0003562573,0.00007666543,0.009425923,0.0002574983,0.000191144,0.0004776253,0.0008396447,0.02477282,0.001910348,0.9451979,0.004344414,0.0121497],"study_design_scores_gemma":[0.0001266201,0.0001445716,0.005442059,0.0001768254,0.0001093761,0.001206297,0.0004032341,0.1309552,0.003543428,0.8515476,0.006207432,0.0001374702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7579276,0.003414062,0.2050041,0.004636008,0.0002097424,0.0001840081,0.001674176,0.0007931872,0.02615716],"genre_scores_gemma":[0.9806221,0.0009516798,0.01073586,0.0004340479,0.0003416725,0.0002073517,0.0008569669,0.0001747461,0.005675574],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01336281,"threshold_uncertainty_score":0.05516756,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03889709519081617,"score_gpt":0.3036661860775036,"score_spread":0.2647690908866874,"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."}}