{"id":"W1997920677","doi":"10.1007/978-94-015-9542-1_5","title":"Applications of Zagier’s Formula (I)","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Identity (music); Mathematics; Pure mathematics; Algebra over a field; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00009611017,0.0002213649,0.0004080226,0.0001073369,0.0000514905,0.00001189622,0.0002994803,0.0002203817,0.009764725],"category_scores_gemma":[0.000008507099,0.0001932884,0.000199108,0.00003033755,0.00006506629,0.00002023629,0.00005035724,0.0001519952,0.0004803517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001957876,"about_ca_system_score_gemma":0.00004518747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002986355,"about_ca_topic_score_gemma":0.00000883687,"domain_scores_codex":[0.9988619,0.000002192177,0.0005667963,0.0002131651,0.0002331636,0.0001227816],"domain_scores_gemma":[0.9984411,0.0002021435,0.0003198626,0.0008805588,0.00009404109,0.00006231984],"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":[8.345432e-7,0.00004515452,5.764374e-8,0.0001519373,0.0000310728,1.565478e-7,0.00003143925,1.242661e-7,0.000007774322,0.9375011,0.05034794,0.01188245],"study_design_scores_gemma":[0.0000401845,0.000005559125,5.087583e-8,0.00003955423,0.00005332184,0.000002114135,0.000002921299,0.00002034836,0.00004229604,0.5254862,0.4742051,0.000102264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000002011286,0.00006227237,0.02979557,0.00007721868,0.000008320095,0.000817873,0.00009845993,0.00008847909,0.9690498],"genre_scores_gemma":[0.0003279216,0.0001865693,0.0466662,0.0000370739,0.00007968504,0.0001708464,0.00004179917,0.00007342841,0.9524165],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4238572,"threshold_uncertainty_score":0.9911405,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05027680958549652,"score_gpt":0.3119015203881831,"score_spread":0.2616247108026866,"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."}}