{"id":"W4391453430","doi":"10.4064/aa230804-2-9","title":"On sequences of integers with small prime factors","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Prime (order theory); Prime factor; Combinatorics; Discrete mathematics","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":[0.001357754,0.001175689,0.0008632446,0.002776367,0.001200873,0.001768112,0.001253237,0.001246945,0.002833901],"category_scores_gemma":[0.02189861,0.0004742045,0.0005507085,0.002031987,0.003021171,0.006055743,0.002381055,0.002343268,0.0008610717],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090582,"about_ca_system_score_gemma":0.0005765713,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007856375,"about_ca_topic_score_gemma":0.0006180901,"domain_scores_codex":[0.9987735,0.0002988043,0.00007438232,0.0002309562,0.0004375971,0.0001847444],"domain_scores_gemma":[0.9876283,0.008785043,0.001559595,0.0007386824,0.0007367761,0.000551531],"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":[0.0004316281,0.00006913496,0.002687213,0.0003376798,0.00002753476,0.001267796,0.0009603205,0.03096177,0.01538346,0.9194331,0.001532102,0.02690824],"study_design_scores_gemma":[0.00005162024,0.0001773168,0.001620206,0.0001938814,0.00004099749,0.00124257,0.000215547,0.1518661,0.006436827,0.8304096,0.007681025,0.00006431354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5917466,0.005999521,0.3630378,0.001303348,0.0005303261,0.00008204312,0.0002849392,0.000509906,0.03650547],"genre_scores_gemma":[0.9339659,0.003501283,0.05078363,0.0003554337,0.0004714109,0.0001631024,0.000392599,0.0001807574,0.01018594],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002833901,"threshold_uncertainty_score":0.009480357,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01789739060965114,"score_gpt":0.2256727583890159,"score_spread":0.2077753677793648,"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."}}