{"id":"W4392006808","doi":"10.4064/aa230725-14-9","title":"Effective $S$-unit equations beyond three terms: Newman’s Conjecture","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cardinality (data modeling); Conjecture; Unit (ring theory); Term (time); Set (abstract data type); Discrete mathematics; Combinatorics; Mathematics education; Computer science","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":[0.001009745,0.0006277714,0.0008205179,0.0006435543,0.001582165,0.002026054,0.001704142,0.001832024,0.0128893],"category_scores_gemma":[0.006621845,0.0004135644,0.001249151,0.0005991871,0.003014085,0.007082271,0.003489519,0.003129519,0.001645738],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008448166,"about_ca_system_score_gemma":0.0007703611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007471096,"about_ca_topic_score_gemma":0.001151952,"domain_scores_codex":[0.9992394,0.0001825123,0.00005081328,0.000119106,0.0001973521,0.000210757],"domain_scores_gemma":[0.9987924,0.000560841,0.00009589383,0.0002749201,0.0001168087,0.0001592052],"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":[0.00002985011,0.00001668785,0.0001854154,0.0000314501,0.000005364452,0.00006013511,0.0001404212,0.001283582,0.0005555463,0.9898185,0.002645593,0.005227425],"study_design_scores_gemma":[0.00002078553,0.00001497119,0.00009104255,0.00001321349,0.00000580344,0.00005812626,0.00006643566,0.0109956,0.0007766009,0.9847815,0.003163017,0.00001288046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6090305,0.001051604,0.2045363,0.008049475,0.001194557,0.00008979127,0.0002737891,0.0008018616,0.1749721],"genre_scores_gemma":[0.8901581,0.000457609,0.07074213,0.001346548,0.0004581638,0.0001257954,0.0002386664,0.0003310626,0.03614189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0128893,"threshold_uncertainty_score":0.04311901,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04742158433481126,"score_gpt":0.3633096876417309,"score_spread":0.3158881033069197,"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."}}