{"id":"W2077105218","doi":"10.1016/s0019-3577(07)00002-x","title":"Arithmetic progressions consisting of unlike powers","year":2006,"lang":"en","type":"article","venue":"Indagationes Mathematicae","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Arithmetic progression; Mathematics; Mathematical proof; Arithmetic; Sign (mathematics); Discrete mathematics; Combinatorics; Algebra over a field; Pure mathematics; Mathematical analysis","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":[0.001300561,0.001010069,0.000903557,0.002676598,0.00352383,0.004878912,0.001083704,0.0009970698,0.01488852],"category_scores_gemma":[0.006080083,0.0006176273,0.0009104529,0.002310115,0.004453429,0.009103037,0.003614607,0.00418716,0.003016601],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001071464,"about_ca_system_score_gemma":0.0004722236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001477776,"about_ca_topic_score_gemma":0.0001842046,"domain_scores_codex":[0.9989039,0.0002903893,0.00007762772,0.0002265057,0.0003138758,0.0001876563],"domain_scores_gemma":[0.9972282,0.001517748,0.0002683451,0.0004524515,0.0002818975,0.0002513545],"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":[0.00003480419,0.00001312076,0.00006940372,0.00003077405,0.00000424605,0.0001390035,0.000256589,0.0001309322,0.0005560152,0.993643,0.0009576415,0.004164387],"study_design_scores_gemma":[0.00001556844,0.00002276725,0.0001584097,0.00002201788,0.00001501492,0.0003456167,0.0001167392,0.0005513997,0.0009142039,0.9828793,0.01494537,0.00001346828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.263562,0.002127306,0.1342563,0.002326747,0.00157932,0.0001584426,0.0003683988,0.0007757233,0.5948458],"genre_scores_gemma":[0.8637532,0.001427438,0.02547746,0.0004983466,0.001006855,0.000179284,0.0003371667,0.0003318754,0.1069884],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01488852,"threshold_uncertainty_score":0.04980707,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.027880677229569,"score_gpt":0.3005534872969902,"score_spread":0.2726728100674212,"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."}}