{"id":"W2980053045","doi":"10.48550/arxiv.1910.03205","title":"On a conjecture of Sharifi and Mazur's Eisenstein ideal","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Ideal (ethics); Mathematics; Prime (order theory); Combinatorics; Eisenstein series; Prime ideal; Field (mathematics); Group (periodic table); Pure mathematics; Physics; Modular form; Quantum mechanics; Philosophy","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001741713,0.0004770606,0.0007115809,0.001109508,0.002135696,0.002085669,0.0008704956,0.001218913,0.007968679],"category_scores_gemma":[0.003906688,0.0002690084,0.0006207183,0.001016602,0.00577045,0.005351049,0.00245054,0.002262423,0.0009623597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001854843,"about_ca_system_score_gemma":0.0008181951,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00121679,"about_ca_topic_score_gemma":0.0009310162,"domain_scores_codex":[0.9992554,0.0001454392,0.00003035585,0.0001739426,0.0001849513,0.0002098683],"domain_scores_gemma":[0.9979128,0.001010985,0.0002453537,0.0002631432,0.0002321119,0.0003356526],"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":[0.0001107558,0.00003098524,0.001544965,0.00004076019,0.000005210054,0.0001685452,0.0006422365,0.0009984401,0.0006544895,0.9854307,0.004244424,0.006128418],"study_design_scores_gemma":[0.00002700066,0.00004505794,0.001095072,0.00003068725,0.000008268527,0.0002014777,0.00034658,0.0031721,0.00108459,0.9848613,0.009108677,0.00001929779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6887956,0.002893332,0.05756902,0.02647506,0.0008874264,0.00004373856,0.0002946816,0.0004788434,0.2225623],"genre_scores_gemma":[0.981733,0.0005355062,0.004736839,0.00077775,0.0005506746,0.00002859573,0.0001374451,0.00004542779,0.01145486],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007968679,"threshold_uncertainty_score":0.02665794,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06717940768022054,"score_gpt":0.206665157336263,"score_spread":0.1394857496560425,"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."}}