{"id":"W4403276054","doi":"10.1007/s00373-024-02841-1","title":"Integral and rational graphs in the plane","year":2024,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach; Hungarian Scientific Research Fund","keywords":"Mathematics; Combinatorics; Plane (geometry); Discrete mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008260451,0.0001043932,0.0001158137,0.0002054813,0.00008860504,0.0001610092,0.0001349184,0.00006169056,0.0000178785],"category_scores_gemma":[0.00009583632,0.00006789953,0.00003328837,0.0005357887,0.000120269,0.00008386522,0.00005174764,0.0003292275,0.000003871018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001024883,"about_ca_system_score_gemma":0.00002090756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001459556,"about_ca_topic_score_gemma":0.00001761585,"domain_scores_codex":[0.999153,0.0001053656,0.0001464403,0.0001741254,0.0002448964,0.0001762291],"domain_scores_gemma":[0.9988317,0.0009432212,0.00001433965,0.0001452938,0.00002430132,0.00004116955],"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":[0.00001022585,0.00004835653,0.0028619,0.00009437605,0.00001304317,0.00003852539,0.001114662,3.249073e-8,0.000017584,0.9927022,0.002035913,0.001063121],"study_design_scores_gemma":[0.0002264549,0.00008967267,0.002888704,0.0000384625,0.000009969173,0.00004999792,0.0005571109,0.0002828386,0.0000142685,0.9940819,0.001676084,0.00008456332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9932401,0.00206725,0.00005079138,0.0006512354,0.0001847934,0.0001956881,0.00001218487,0.00005330189,0.003544653],"genre_scores_gemma":[0.999327,0.0002795719,0.00008244922,0.00006135149,0.000009648662,0.0000271768,0.000007253919,0.00001171258,0.0001938382],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006086895,"threshold_uncertainty_score":0.2768862,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0454011709186197,"score_gpt":0.3145116601538646,"score_spread":0.2691104892352449,"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."}}