{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005116452,0.0006802275,0.001463049,0.003366155,0.002579893,0.002603432,0.001139567,0.001069952,0.00604604],"category_scores_gemma":[0.005772141,0.0008520919,0.0007385278,0.002569076,0.002714608,0.004084439,0.003278598,0.001431742,0.001012455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001595445,"about_ca_system_score_gemma":0.0004998739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001661885,"about_ca_topic_score_gemma":0.001050175,"domain_scores_codex":[0.9989809,0.0001334243,0.00005845571,0.0002897652,0.0002998917,0.0002375256],"domain_scores_gemma":[0.9965711,0.001569362,0.0004966342,0.000548217,0.00027516,0.0005396384],"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":[0.001012169,0.0002420775,0.01589846,0.0006059586,0.000139013,0.001454464,0.002528886,0.06794289,0.03961636,0.7919991,0.01154664,0.06701402],"study_design_scores_gemma":[0.00008676086,0.0001979418,0.009915823,0.0001157906,0.0000841947,0.001223788,0.0006993029,0.1718489,0.01797051,0.7816604,0.01610725,0.0000893172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9431368,0.001332845,0.03225281,0.0007309144,0.00007830846,0.00003874939,0.0003318089,0.0003733395,0.0217244],"genre_scores_gemma":[0.9799961,0.0006860392,0.01255898,0.0001142107,0.0001608267,0.00006269689,0.0006315511,0.0001539546,0.005635525],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00604604,"threshold_uncertainty_score":0.020226,"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."}}