{"id":"W2566019243","doi":"10.37236/7375","title":"Slicings of Parallelogram Polyominoes: Catalan, Schröder, Baxter, and Other Sequences","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":"","funders":"Division of Mathematical Sciences; Australian Research Council; Pacific Institute for the Mathematical Sciences","keywords":"Polyomino; Catalan number; Mathematics; Parallelogram; Combinatorics; Conjecture; Algebraic number; Discrete mathematics; Regular polygon; Computer science; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002485228,0.0002315789,0.0002905451,0.0008563502,0.0007291225,0.0009405723,0.000337422,0.0003517451,0.00488574],"category_scores_gemma":[0.001157747,0.0001977203,0.0004167002,0.0004891388,0.000995221,0.001619933,0.000577954,0.0005500129,0.0003449626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004995982,"about_ca_system_score_gemma":0.0003262756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001067402,"about_ca_topic_score_gemma":0.001604517,"domain_scores_codex":[0.9997754,0.00003706404,0.00001722451,0.00004358182,0.00007776016,0.00004903341],"domain_scores_gemma":[0.9995166,0.0001140574,0.00009708881,0.000100687,0.0000903024,0.00008117878],"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":[0.00003518106,0.00002047773,0.001036806,0.00003388186,0.000005186847,0.0001687393,0.0002019844,0.006385513,0.004170677,0.974472,0.0009324802,0.01253702],"study_design_scores_gemma":[0.00001453626,0.00004980504,0.001495678,0.0000209367,0.000007105525,0.0003834509,0.000202908,0.05975683,0.006082369,0.9259407,0.006022111,0.00002357704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.785409,0.0003740446,0.1602527,0.0002356843,0.0001062801,0.0000778018,0.0002849951,0.0002683191,0.05299124],"genre_scores_gemma":[0.9538642,0.0002063835,0.03497021,0.0001017159,0.00004651556,0.00006165085,0.0003091743,0.00009658482,0.0103436],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00488574,"threshold_uncertainty_score":0.01634443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03301480773904028,"score_gpt":0.3184425543845896,"score_spread":0.2854277466455494,"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."}}