{"id":"W2798759115","doi":"10.37236/7799","title":"Vertically Constrained Motzkin-Like Paths Inspired by Bobbin Lace","year":2019,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bijection; Combinatorics; Mathematics; Discrete mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002021865,0.0004686335,0.0004932626,0.000645853,0.001814161,0.002093931,0.0009611762,0.001003136,0.009506721],"category_scores_gemma":[0.0008845815,0.0002609183,0.0004359231,0.000653486,0.001851817,0.002121938,0.001365764,0.001398773,0.001275049],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001661861,"about_ca_system_score_gemma":0.0008966317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00572534,"about_ca_topic_score_gemma":0.004313002,"domain_scores_codex":[0.9997239,0.00006153353,0.0000115297,0.00004668215,0.00007184551,0.00008444674],"domain_scores_gemma":[0.9997906,0.00005092355,0.00003160646,0.00003827998,0.00003847179,0.00005014535],"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":[0.00002766133,0.000009057261,0.00006291598,0.00001575602,0.00000233767,0.00006089599,0.00008468605,0.003515819,0.0009694499,0.9925213,0.0004574744,0.002272472],"study_design_scores_gemma":[0.00003483263,0.00003176626,0.0001243511,0.00002214181,0.000005749349,0.0001113132,0.0001712662,0.06032746,0.001857433,0.922048,0.01523521,0.00003049541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4300648,0.0009672651,0.3486564,0.001560687,0.0003869806,0.0001417498,0.00063903,0.0008208658,0.2167622],"genre_scores_gemma":[0.9021242,0.000349062,0.05792033,0.000273397,0.00004554675,0.0001846144,0.0002471908,0.0002289763,0.03862653],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009506721,"threshold_uncertainty_score":0.03180319,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01753794446756088,"score_gpt":0.284305726637715,"score_spread":0.2667677821701542,"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."}}