{"id":"W2281129091","doi":"10.14232/actasm-016-518-4","title":"The ubiquity of Sidon sets that are not I0","year":2016,"lang":"en","type":"preprint","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Abelian group; Group (periodic table); Set (abstract data type); Mathematics; Combinatorics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003337431,0.0006104183,0.001109819,0.00018937,0.0006535981,0.000124735,0.002185059,0.0006219013,0.0002450144],"category_scores_gemma":[0.0025607,0.0003614275,0.0005522342,0.0001820279,0.001599892,0.0001884872,0.002674107,0.0008627798,0.0001004878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001045316,"about_ca_system_score_gemma":0.0001690844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001856939,"about_ca_topic_score_gemma":0.0000225618,"domain_scores_codex":[0.9958096,0.0004143664,0.001010387,0.0008497607,0.0009896645,0.0009262428],"domain_scores_gemma":[0.9908771,0.003929488,0.00189197,0.002860669,0.0002639979,0.0001768007],"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":[0.0001769309,0.0006124186,0.0002734615,0.002909736,0.0007042295,0.0000264567,0.003628378,0.000003240987,0.004634322,0.9616796,0.02340082,0.001950449],"study_design_scores_gemma":[0.0003023015,0.00002795275,0.0001216841,0.001123935,0.0002098147,0.00002156509,0.0005711596,0.0001788027,0.02303517,0.9724598,0.001524772,0.000423064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8683017,0.0009884882,0.04717353,0.02820166,0.008638145,0.00425966,0.001119523,0.0009351823,0.04038215],"genre_scores_gemma":[0.9895023,0.000120735,0.005341077,0.0001419146,0.0001261525,0.0001051704,0.00001066807,0.00009277381,0.004559182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1212007,"threshold_uncertainty_score":0.9998838,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07565299305949105,"score_gpt":0.3498808611307564,"score_spread":0.2742278680712654,"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."}}