{"id":"W4280613629","doi":"10.48550/arxiv.2205.06375","title":"A description of the Zeta map on Dyck paths area sequences","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Van Dyke beard; Computer science; Mathematics; Geography; Archaeology","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":[0.0003954632,0.0002612625,0.000418574,0.0001154757,0.0001497301,0.00003199847,0.0009324048,0.0001994819,0.0007935401],"category_scores_gemma":[0.000198722,0.000210787,0.0003745879,0.0002536037,0.0001504697,0.00006155434,0.001074554,0.0006526408,0.0000188188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002019373,"about_ca_system_score_gemma":0.0001002914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006857738,"about_ca_topic_score_gemma":0.00003969059,"domain_scores_codex":[0.9985957,0.0001923894,0.0003031649,0.0004999902,0.0001914796,0.0002173323],"domain_scores_gemma":[0.997879,0.0003642611,0.0005268087,0.001073923,0.00008630694,0.00006967712],"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":[0.00004080638,0.0003379708,0.001224007,0.0006704064,0.0001283986,0.00005470698,0.0003474054,0.009717898,0.00009677626,0.986501,0.0008261224,0.00005447847],"study_design_scores_gemma":[0.0001791786,0.00005779765,0.0002922429,0.0002750252,0.0001713957,0.000001868017,0.0003621559,0.07699522,0.00004805279,0.9210231,0.0003480266,0.0002459045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9593297,0.00002286523,0.01740486,0.0001490386,0.0005763739,0.0006555026,0.0001818222,0.00007693603,0.02160289],"genre_scores_gemma":[0.992204,0.0000468804,0.0004204556,0.00004822964,0.00002478763,0.000002840939,0.0000144628,0.00002555194,0.007212827],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06727732,"threshold_uncertainty_score":0.8688707,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1829814480107958,"score_gpt":0.2218950704480064,"score_spread":0.03891362243721067,"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."}}