{"id":"W4362714430","doi":"10.5642/jhummath.ruji8696","title":"From a Doodle to a Theorem: A Case Study in Mathematical Discovery","year":2023,"lang":"en","type":"article","venue":"Journal of Humanistic Mathematics","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Compass; Midpoint; Context (archaeology); Narrative; Computer science; Line (geometry); Path (computing); Epistemology; Mathematics; Philosophy; Linguistics; Geometry; History; Geography; Cartography","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01134049,0.0006129036,0.0008035961,0.002423385,0.02700408,0.009508666,0.002683381,0.009206651,0.006088001],"category_scores_gemma":[0.02307593,0.000852873,0.0008701191,0.002838108,0.03693771,0.01595973,0.009706716,0.009026824,0.0008220134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.007695592,"about_ca_system_score_gemma":0.003499933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006044287,"about_ca_topic_score_gemma":0.01034801,"domain_scores_codex":[0.9849598,0.01138082,0.0003107495,0.0008705607,0.001377161,0.001100817],"domain_scores_gemma":[0.9750983,0.020995,0.0008753616,0.00103517,0.0008586594,0.001137394],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"case_report","study_design_scores_codex":[0.00006704267,0.00008008294,0.001368901,0.0001028782,0.000006339944,0.01170314,0.4757656,0.0002170786,0.0003330244,0.5004977,0.003985776,0.005872469],"study_design_scores_gemma":[0.00005396635,0.00008621791,0.0009328751,0.0004207696,0.00001687163,0.01383925,0.6244549,0.001223932,0.001214555,0.1283336,0.229353,0.00007008437],"study_design_candidate":"case_report","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6018386,0.00431696,0.04994965,0.1140407,0.0007082821,0.0003518591,0.000263578,0.0001812367,0.2283492],"genre_scores_gemma":[0.960884,0.001920696,0.0136755,0.00270868,0.0001462102,0.0001651261,0.00005184677,0.0001243965,0.02032356],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02700408,"threshold_uncertainty_score":0.05997491,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0833852471427473,"score_gpt":0.3549490989055137,"score_spread":0.2715638517627664,"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."}}