{"id":"W2086131658","doi":"10.1016/j.jnt.2009.05.011","title":"Infinite Barker series","year":2009,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Series (stratigraphy); Polynomial; Combinatorics; Power series; Discrete mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009020079,0.0001471165,0.0003603107,0.0000623127,0.00005291923,0.00003041491,0.0002636452,0.00007688381,0.001338262],"category_scores_gemma":[0.002054827,0.0001143196,0.0001622053,0.0001388578,0.00004964538,0.0004061094,0.00002775577,0.0003007725,0.00005727282],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005091413,"about_ca_system_score_gemma":0.00005019547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.782829e-8,"about_ca_topic_score_gemma":1.027774e-7,"domain_scores_codex":[0.9986776,0.0001343844,0.0005964435,0.00007111944,0.00033428,0.0001862272],"domain_scores_gemma":[0.9978227,0.0009840153,0.0005869006,0.0002594781,0.0002468465,0.0001000477],"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":[0.0001599543,0.0001795312,0.00002559957,0.00002576492,0.00005234334,0.0000615879,0.0006842292,0.000002206159,0.0003887014,0.9778837,0.01862659,0.001909779],"study_design_scores_gemma":[0.0004395322,0.0001469453,0.00008834452,0.0001301667,0.00004940993,0.0006525239,0.0002674197,0.000002257522,0.0006250711,0.9791868,0.01828739,0.0001240913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.60224,0.0003726417,0.05793616,0.003231013,0.004760088,0.000581237,0.0000360352,0.0003095913,0.3305332],"genre_scores_gemma":[0.8773803,0.00004397625,0.1165024,0.0004380638,0.0008562506,0.000001939124,7.29966e-7,0.00005030704,0.004725963],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3258072,"threshold_uncertainty_score":0.9995747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02479436171004957,"score_gpt":0.3254675261500269,"score_spread":0.3006731644399774,"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."}}