{"id":"W4391148188","doi":"10.55016/ojs/cdm.v18i2.73497","title":"q-Analogues of $\\pi$-Series by Applying Carlitz Inversions to q-Pfaff-Saalschutz Theorem","year":2023,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pi; Series (stratigraphy); Pure mathematics; Combinatorics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001652943,0.0008022059,0.0004822568,0.002167526,0.001804188,0.002535697,0.001277229,0.0006645594,0.008555608],"category_scores_gemma":[0.004219776,0.0002837846,0.001047174,0.001146379,0.003538784,0.004488125,0.001979881,0.00305199,0.002136836],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001333002,"about_ca_system_score_gemma":0.0009728423,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005732761,"about_ca_topic_score_gemma":0.0006967636,"domain_scores_codex":[0.9992617,0.0001376507,0.00007877175,0.0001187422,0.0002945975,0.0001086372],"domain_scores_gemma":[0.9988136,0.0003971519,0.0001543144,0.000170288,0.0003452994,0.0001194027],"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":[0.000007997238,0.00001088586,0.00008849448,0.0000150887,0.00000157679,0.00007900703,0.0001484575,0.0001778269,0.0007619871,0.9938883,0.0004226521,0.004397777],"study_design_scores_gemma":[0.00001032029,0.00002448936,0.0002097664,0.000023595,0.000008248863,0.0002575102,0.00009581465,0.00388212,0.003360828,0.9802045,0.01190366,0.00001906475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1729416,0.00150851,0.4446939,0.001749631,0.001889968,0.000158986,0.0001876455,0.0005432284,0.3763265],"genre_scores_gemma":[0.7948949,0.001734877,0.1338092,0.0009396923,0.001347589,0.0002043848,0.0001781624,0.0003835096,0.06650776],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008555608,"threshold_uncertainty_score":0.02862138,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0335042709999829,"score_gpt":0.3461223700747443,"score_spread":0.3126180990747615,"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."}}