{"id":"W4372319597","doi":"10.1142/s0218216523500414","title":"Tri-plane diagrams for simple surfaces in S4","year":2023,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Projective plane; Combinatorics; Crossing number (knot theory); Simple (philosophy); Surface (topology); Plane (geometry); Diagram; Euler characteristic; Zero (linguistics); Euler's formula; Table (database); Geometry; Mathematical analysis; Knot (papermaking)","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":[0.0001599412,0.0003289146,0.0002736209,0.002812766,0.0006520564,0.001483732,0.0003595681,0.0003846802,0.01231617],"category_scores_gemma":[0.0005598766,0.000201166,0.0002830761,0.001415104,0.0006709312,0.001168393,0.0007573268,0.000585823,0.001192445],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005490813,"about_ca_system_score_gemma":0.0002258791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000551541,"about_ca_topic_score_gemma":0.0007276845,"domain_scores_codex":[0.9997587,0.00002700176,0.00002301434,0.00005017259,0.0000773146,0.00006383003],"domain_scores_gemma":[0.9997454,0.00005957342,0.00005810301,0.00002823113,0.00005293428,0.00005569336],"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":[0.000306261,0.0000713632,0.003994923,0.0003625633,0.00003579924,0.000954698,0.001053488,0.00490919,0.03057598,0.8915393,0.005094765,0.06110178],"study_design_scores_gemma":[0.00005593708,0.0002395356,0.01043263,0.000144391,0.0000821858,0.001956071,0.001758085,0.01929229,0.03997292,0.8282093,0.09777202,0.00008470883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8197814,0.001334619,0.05305275,0.0002613237,0.0001971522,0.0000650619,0.001050566,0.0008111912,0.123446],"genre_scores_gemma":[0.9801205,0.0004447107,0.01087417,0.00004524928,0.00001993319,0.00002776769,0.0005998536,0.00006518668,0.007802643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01231617,"threshold_uncertainty_score":0.04120171,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0631826836358529,"score_gpt":0.3479154134978207,"score_spread":0.2847327298619678,"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."}}