{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00108765,0.000458348,0.001075999,0.0004605963,0.0004230193,0.0001151168,0.0007403355,0.0001765347,0.0001923675],"category_scores_gemma":[0.01043016,0.0004103393,0.0003158361,0.001664405,0.0002880222,0.0003500487,0.0006657558,0.0002442693,0.000860182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002003173,"about_ca_system_score_gemma":0.00008882172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001453284,"about_ca_topic_score_gemma":0.00003251823,"domain_scores_codex":[0.9965577,0.0001138959,0.001237787,0.0004676868,0.0007700878,0.0008528723],"domain_scores_gemma":[0.9953895,0.002006578,0.0003524433,0.001166895,0.0006131217,0.0004714845],"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":[0.00001840069,0.0001880887,0.00001564616,0.0006199967,0.000154303,0.000007359935,0.003442132,0.00007427305,0.008828361,0.9069965,0.07955614,0.0000987422],"study_design_scores_gemma":[0.0003861784,0.0001527736,0.000009588802,0.0005386374,0.0002434269,0.00001103253,0.007185324,0.0006210773,0.01963998,0.9617857,0.008887533,0.000538792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1509437,0.0003242159,0.8040358,0.007353037,0.0005657959,0.007254818,0.008465541,0.002354967,0.01870211],"genre_scores_gemma":[0.7343661,0.0001945074,0.2298122,0.0003819106,0.0003198622,0.002956514,0.0006069291,0.0004023167,0.03095963],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5834225,"threshold_uncertainty_score":0.9999177,"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."}}