{"id":"W2999249491","doi":"10.37236/7992","title":"Greene–Kleiman invariants for Sulzgruber insertion","year":2019,"lang":"en","type":"article","venue":"UST Research Online (University of St. Thomas - Minnesota)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Bijection, injection and surjection; Mathematics; Combinatorics; Partition (number theory); Diagonal; Hook; Plane (geometry); Equivalence (formal languages); Discrete mathematics; Geometry; Bijection","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":[],"consensus_categories":[],"category_scores_codex":[0.001223677,0.0002004314,0.0004995848,0.0004456187,0.0002920967,0.00003189949,0.0007120019,0.0001927952,0.0008535068],"category_scores_gemma":[0.001053874,0.0002234336,0.0001867102,0.0005190854,0.0003846941,0.0007519489,0.0004869584,0.0003949346,0.0001422079],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001719577,"about_ca_system_score_gemma":0.0001564352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001667367,"about_ca_topic_score_gemma":0.0009531539,"domain_scores_codex":[0.9975737,0.0001772909,0.0002844525,0.0004514185,0.0008855559,0.0006275511],"domain_scores_gemma":[0.9965791,0.001489433,0.0001840771,0.0006899645,0.0008777262,0.0001797432],"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":[0.001238741,0.003094125,0.003593171,0.005837456,0.0004413388,0.0001132804,0.004290718,0.00004060638,0.02025246,0.8918402,0.06617904,0.003078895],"study_design_scores_gemma":[0.004019723,0.000889949,0.005548972,0.0007098152,0.0001372343,0.00002233734,0.02062009,0.008114397,0.001322264,0.9263731,0.03157651,0.0006655857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9801142,0.00007361682,0.009375098,0.002086203,0.0001130728,0.001467337,0.0003539347,0.0001087244,0.006307815],"genre_scores_gemma":[0.576378,0.0002400699,0.253126,0.00004092382,0.0002761814,0.000009705468,0.0003104729,0.0001492299,0.1694695],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4037362,"threshold_uncertainty_score":0.9345301,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1756748564525686,"score_gpt":0.3941317878655408,"score_spread":0.2184569314129721,"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."}}