{"id":"W2592616259","doi":"10.1002/jcd.21330","title":"Sperner Partition Systems","year":2012,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina; University of Manitoba","funders":"","keywords":"Partition (number theory); Combinatorics; Mathematics; Class (philosophy); Upper and lower bounds; Set (abstract data type); Discrete mathematics; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.001420845,0.0001111909,0.0002899487,0.00009402491,0.0001137843,0.00003703659,0.0001794345,0.0001036064,0.00007131574],"category_scores_gemma":[0.0003891769,0.00007810372,0.0001517485,0.00009323531,0.00004134002,0.0003159324,0.00002813931,0.0002199396,0.000007473653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005524801,"about_ca_system_score_gemma":0.00002932397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001314595,"about_ca_topic_score_gemma":2.909086e-8,"domain_scores_codex":[0.9986126,0.0002295926,0.000482227,0.00004909088,0.0003942407,0.0002321769],"domain_scores_gemma":[0.998695,0.0003575218,0.0004382812,0.0001575908,0.0001946183,0.0001570431],"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":[0.00007462926,0.0001347699,0.001565839,0.00003140342,0.00006930411,0.000006375461,0.0005715694,0.000003903849,0.0007761277,0.9869388,0.009728015,0.00009930615],"study_design_scores_gemma":[0.0009955118,0.0002339733,0.0007950582,0.00007062711,0.000121074,0.0001993264,0.0001526311,0.00001232057,0.002365132,0.9815513,0.01335653,0.0001465285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9423476,0.001163113,0.00771125,0.00005825778,0.04090165,0.0002059406,0.000002787604,0.00003345842,0.007575913],"genre_scores_gemma":[0.9954706,0.0000209336,0.0008705129,0.00001879305,0.003487063,0.000001570733,2.339389e-7,0.00001831192,0.0001119201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05312303,"threshold_uncertainty_score":0.3184977,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07791015228074148,"score_gpt":0.3212382987943097,"score_spread":0.2433281465135682,"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."}}