{"id":"W3174996705","doi":"10.1080/00029890.2022.2043106","title":"Number Cubes with Consecutive Line Sums","year":2022,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; MAGIC (telescope); Block (permutation group theory); Graph; Mathematics; Line (geometry); Computer science; Discrete mathematics; Arithmetic; Physics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0007247388,0.0005133577,0.000494262,0.0007842534,0.001411888,0.00194425,0.0008733344,0.001053835,0.009250987],"category_scores_gemma":[0.004481076,0.0004621023,0.0005881755,0.0008084791,0.001960222,0.003659859,0.001938229,0.002228788,0.001194978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006134667,"about_ca_system_score_gemma":0.0004764316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004134412,"about_ca_topic_score_gemma":0.0007360679,"domain_scores_codex":[0.9991887,0.0002699956,0.0000427039,0.0001474062,0.0002442065,0.0001069379],"domain_scores_gemma":[0.9981539,0.000865975,0.0002178129,0.0003061618,0.000294831,0.0001612324],"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":[0.00004643464,0.000008983232,0.0001213654,0.00002803778,0.000004614216,0.00006197378,0.00004746138,0.001555369,0.001281281,0.990551,0.001453455,0.004839912],"study_design_scores_gemma":[0.00003413824,0.00004089469,0.0001048705,0.00003232393,0.00001285762,0.0002637947,0.00008888129,0.02331145,0.004713214,0.9605193,0.01086091,0.00001735494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3339171,0.0008639868,0.476778,0.002618638,0.0008308416,0.0001102572,0.0003549848,0.0004991539,0.1840272],"genre_scores_gemma":[0.7866986,0.0006087016,0.1857688,0.000915902,0.0002636365,0.0002421174,0.0004304756,0.0002445962,0.024827],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009250987,"threshold_uncertainty_score":0.03094769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00575270722321771,"score_gpt":0.2036463669136727,"score_spread":0.197893659690455,"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."}}