{"id":"W2971427563","doi":"10.1016/j.jnt.2019.07.026","title":"Sums of sets of abelian group elements","year":2019,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Abelian group; Integer (computer science); Group (periodic table); Combinatorics; Zero (linguistics); Discrete mathematics; Computer science; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001641651,0.0001288823,0.0004701789,0.0001113141,0.00002971943,0.000005715081,0.0003641275,0.00008751122,0.004100994],"category_scores_gemma":[0.0002434511,0.00009015758,0.0002769597,0.0001152468,0.0001025346,0.0001243462,0.00008398493,0.0002205762,0.00001103448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001996867,"about_ca_system_score_gemma":0.00002808142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000130519,"about_ca_topic_score_gemma":7.18626e-7,"domain_scores_codex":[0.9982582,0.0002126448,0.0008684645,0.00008359367,0.000412821,0.0001642463],"domain_scores_gemma":[0.9975287,0.0007039321,0.001183748,0.0003201308,0.0001989383,0.00006454914],"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":[0.0004658689,0.0002240138,0.02919154,0.0003956372,0.0005524266,0.00001386581,0.002095808,0.000002290668,0.005716811,0.9512444,0.005773873,0.004323422],"study_design_scores_gemma":[0.0009301203,0.0001955758,0.003467846,0.0002569651,0.00009397858,0.00009001121,0.000576082,0.000004455894,0.003620477,0.9886744,0.001983535,0.0001065272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9827526,0.0001039386,0.0001670845,0.00001677417,0.0005888761,0.0001012013,0.00004037396,0.000005070894,0.0162241],"genre_scores_gemma":[0.9927924,0.00003130699,0.006455362,0.00005917039,0.00007620484,5.182417e-7,0.000001346637,0.00002326085,0.0005604679],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03742998,"threshold_uncertainty_score":0.9968094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01719060063173831,"score_gpt":0.306476451001476,"score_spread":0.2892858503697377,"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."}}