{"id":"W1561983737","doi":"","title":"On cross numbers of minimal zero sequences in certain cyclic groups","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Upper and lower bounds; Set (abstract data type); Zero (linguistics); Discrete mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001612155,0.0006566021,0.0005542717,0.003742082,0.002008045,0.0033339,0.0008088725,0.001002205,0.004000349],"category_scores_gemma":[0.00572112,0.0004683807,0.0004718182,0.001464748,0.002981669,0.003172773,0.002720364,0.001028089,0.0004061199],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009388868,"about_ca_system_score_gemma":0.0003270897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002398983,"about_ca_topic_score_gemma":0.0002786915,"domain_scores_codex":[0.9988891,0.0002654681,0.00006316319,0.0002283111,0.0003231151,0.0002308286],"domain_scores_gemma":[0.9959766,0.00251054,0.0006311717,0.0002096204,0.000216789,0.0004552905],"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":[0.0003386344,0.0001188018,0.01021874,0.0001460607,0.00004069552,0.001233556,0.001041503,0.008653045,0.01148381,0.9467681,0.0009409028,0.01901601],"study_design_scores_gemma":[0.000044859,0.0001960587,0.005161098,0.0001467541,0.00004761015,0.001852853,0.0009092386,0.02501434,0.01424852,0.9456418,0.006665837,0.00007107529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9521419,0.0006445478,0.01473143,0.0001936203,0.00002582522,0.00001427734,0.0001087042,0.00007991501,0.0320598],"genre_scores_gemma":[0.9928727,0.0002655084,0.004553238,0.00005262079,0.00004548121,0.00005242319,0.0002031124,0.0000251208,0.001929702],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004000349,"threshold_uncertainty_score":0.01338243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01957798992238386,"score_gpt":0.300315737069441,"score_spread":0.2807377471470571,"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."}}