{"id":"W4415718381","doi":"10.20944/preprints202510.2359.v1","title":"An Atlas of Epsilon-Delta Continuity Proofs in Function Space &lt;em&gt;F&lt;/em&gt;(R, R)","year":2025,"lang":"","type":"preprint","venue":"Preprints.org","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Public Health Ontario","funders":"","keywords":"Mathematical proof; CLARITY; Intuition; Confusion; Atlas (anatomy); Calculus (dental); Set (abstract data type)","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","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.01136972,0.00209758,0.0040124,0.001282433,0.00049675,0.0001174771,0.003291973,0.002350765,0.005483577],"category_scores_gemma":[0.005230577,0.002410796,0.001300102,0.001080306,0.0008448846,0.0006918254,0.003465039,0.003513304,0.002030845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001210523,"about_ca_system_score_gemma":0.001412879,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001250281,"about_ca_topic_score_gemma":0.00149275,"domain_scores_codex":[0.9856033,0.002514777,0.004869398,0.003469427,0.001954416,0.001588631],"domain_scores_gemma":[0.9848222,0.00167523,0.004099539,0.007389711,0.001348704,0.000664613],"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":[0.006460775,0.02547783,0.08040445,0.04786461,0.003604101,0.0002276228,0.1612295,0.004499447,0.05944015,0.5998217,0.001207956,0.009761813],"study_design_scores_gemma":[0.007304729,0.0008861402,0.05228364,0.01418264,0.003193134,0.00007764271,0.006199195,0.008251604,0.06424356,0.7960058,0.04190623,0.005465655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9274865,0.0005157324,0.007988612,0.0001416263,0.00270401,0.005045399,0.0002950488,0.0004377602,0.05538524],"genre_scores_gemma":[0.9678194,0.0002979423,0.006810906,0.00007331521,0.0002951999,0.000432832,0.0001372681,0.0002262117,0.02390691],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1961841,"threshold_uncertainty_score":0.9991766,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07127299635362888,"score_gpt":0.3256961975615343,"score_spread":0.2544232012079055,"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."}}