{"id":"W2045545314","doi":"10.4153/cjm-2011-078-4","title":"A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path","year":2011,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Diagonal; Conjecture; Mathematics; Combinatorics; Algebraic number; Nabla symbol; Space (punctuation); Path (computing); Operator (biology); Enumeration; Polynomial; Discrete mathematics; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis; Geometry; 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":[0.0005565303,0.0002610758,0.0005172074,0.0005731679,0.001883075,0.002281342,0.0007103304,0.001033359,0.00736287],"category_scores_gemma":[0.002488452,0.0003018472,0.000457157,0.000549237,0.002626063,0.003191644,0.002242641,0.001455081,0.0007813094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006586444,"about_ca_system_score_gemma":0.0006053342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007424113,"about_ca_topic_score_gemma":0.0008475258,"domain_scores_codex":[0.9994583,0.00008078034,0.00003357126,0.0001258624,0.0001312086,0.0001703872],"domain_scores_gemma":[0.9989715,0.000328176,0.0001085077,0.000218047,0.0001785559,0.0001953527],"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":[0.0001200475,0.00003272231,0.00125147,0.00002468095,0.000002932335,0.0002338214,0.0003690892,0.003117711,0.004397486,0.9849823,0.0005547903,0.004912984],"study_design_scores_gemma":[0.00003616156,0.00007278466,0.0007752447,0.00002915455,0.000007901005,0.0003463403,0.0009067363,0.0292215,0.008741242,0.9533083,0.006517283,0.00003735961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8750003,0.00008767292,0.08705638,0.0003293184,0.00009007666,0.00003737876,0.0001742308,0.0001835116,0.03704108],"genre_scores_gemma":[0.980662,0.0000497179,0.01082019,0.0001061954,0.00002015732,0.00004129687,0.0001736549,0.00005182476,0.008074994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00736287,"threshold_uncertainty_score":0.02463126,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07107866557089193,"score_gpt":0.2852710545493895,"score_spread":0.2141923889784976,"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."}}