{"id":"W2534598819","doi":"10.1093/imrn/rnx270","title":"Packing Curves on Surfaces with Few Intersections","year":2017,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Combinatorics; Genus; Circle packing; Mathematics; Degree (music); Surface (topology); Upper and lower bounds; Polynomial; Simple (philosophy); Zero (linguistics); Geometry; Mathematical analysis; 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":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002851412,0.0004329665,0.0006736483,0.001158927,0.0004884059,0.0006829752,0.002490003,0.0003182419,0.0008906404],"category_scores_gemma":[0.008996624,0.0003270584,0.0001958203,0.0002201663,0.0006491533,0.0002065233,0.001628677,0.002125326,0.0002759538],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002593221,"about_ca_system_score_gemma":0.0003101798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002114147,"about_ca_topic_score_gemma":0.0004261302,"domain_scores_codex":[0.995362,0.0002602872,0.0006460873,0.0007376765,0.002375119,0.0006188233],"domain_scores_gemma":[0.9911825,0.005234123,0.0007956918,0.001379683,0.001238424,0.0001695562],"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":[0.000421036,0.006597496,0.005786317,0.02324013,0.006709324,0.0007528739,0.01324094,0.002079979,0.0001017068,0.7696595,0.1657678,0.00564296],"study_design_scores_gemma":[0.0006745228,0.0004322524,0.0009692779,0.01505638,0.0001554338,0.00005945718,0.002486596,0.005952424,0.000483432,0.9675316,0.005412915,0.000785689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.70074,0.001089442,0.004778251,0.02561238,0.00376102,0.002340696,0.0003400158,0.0004400485,0.2608981],"genre_scores_gemma":[0.9723698,0.0007096315,0.01501247,0.0001116708,0.000552823,0.0002223079,0.00005673691,0.0001030519,0.0108615],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2716298,"threshold_uncertainty_score":0.9999182,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3307996960693788,"score_gpt":0.4953672364220407,"score_spread":0.1645675403526619,"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."}}