{"id":"W4403975978","doi":"10.55016/ojs/cdm.v19i2.73812","title":"Lattice paths in corridors and cyclic corridors","year":2024,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Lattice (music); Combinatorics; Mathematics; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009636054,0.0004674454,0.0007678242,0.0004289895,0.0001826173,0.0002646685,0.0003818417,0.0002147906,0.00007005258],"category_scores_gemma":[0.005580819,0.0004243257,0.0001477929,0.001094918,0.0001440601,0.0003161156,0.0003118743,0.0004964051,0.0002610481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000381569,"about_ca_system_score_gemma":0.0001237102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008663063,"about_ca_topic_score_gemma":0.00003016615,"domain_scores_codex":[0.9971238,0.00009695577,0.00102715,0.0005625107,0.0004703168,0.000719235],"domain_scores_gemma":[0.9959226,0.002602206,0.0001516498,0.0007850527,0.0001982866,0.0003401588],"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":[0.00001220503,0.0001989163,0.00003921186,0.0008133955,0.00006088051,0.0000887097,0.003174851,0.00004832161,0.0004551359,0.9922279,0.002061588,0.0008189107],"study_design_scores_gemma":[0.0006155045,0.0001054568,0.00005210608,0.001215209,0.0001620403,0.00009376994,0.0009171832,0.02097272,0.0005222942,0.9700204,0.004763973,0.0005593114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5235833,0.001498115,0.4557328,0.003751175,0.002349891,0.003762294,0.0007974788,0.001561346,0.006963593],"genre_scores_gemma":[0.9251737,0.00008125005,0.07242841,0.0001569015,0.0002406235,0.0003776835,0.00002643241,0.0001710385,0.001343934],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4015904,"threshold_uncertainty_score":0.9998208,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02055935184930199,"score_gpt":0.3458147296163022,"score_spread":0.3252553777670003,"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."}}