{"id":"W4376873308","doi":"10.1080/0025570x.2023.2199695","title":"A Simple Proof that π > 3.05","year":2023,"lang":"en","type":"article","venue":"Mathematics Magazine","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Calculator; Simple (philosophy); Mathematics; Calculus (dental); Series (stratigraphy); Mathematics education; Arithmetic; Algebra over a field; Pure mathematics; Computer science; Epistemology; Medicine","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001835841,0.0004515964,0.0007345179,0.0003396581,0.0002891099,0.00007787003,0.0006121772,0.0001852327,0.001326838],"category_scores_gemma":[0.001012725,0.0003951757,0.0002606111,0.0007340353,0.000177332,0.0001946235,0.0002496393,0.0002840558,0.005937198],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008852183,"about_ca_system_score_gemma":0.000056515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.693552e-7,"about_ca_topic_score_gemma":0.0000116455,"domain_scores_codex":[0.997271,0.0000970697,0.0007394911,0.0004175987,0.0007543632,0.0007204969],"domain_scores_gemma":[0.9968346,0.001263714,0.000380592,0.001191141,0.0001152081,0.0002147944],"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":[0.00002231757,0.0008270565,0.00003392998,0.002636165,0.0001939411,0.000186418,0.00676267,0.00001937997,0.00276576,0.6716789,0.3134025,0.001470929],"study_design_scores_gemma":[0.0005807942,0.00008259367,0.00002994984,0.0001604062,0.0001264391,0.00007962109,0.0004132774,0.004228836,0.002052413,0.9198164,0.07195369,0.0004756114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5632607,0.0001840149,0.0689564,0.001475108,0.001355749,0.003352521,0.0001576329,0.005724024,0.3555339],"genre_scores_gemma":[0.6332496,0.00006701351,0.1370036,0.0005434969,0.0007865034,0.0006264528,0.0001608641,0.0007758705,0.2267867],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2481375,"threshold_uncertainty_score":0.99985,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06587192465261252,"score_gpt":0.3034690002509993,"score_spread":0.2375970755983867,"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."}}