{"id":"W4387156980","doi":"10.48550/arxiv.2309.15382","title":"The multiplier spectrum morphism is generically injective","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China; Peking University; Centre de Recherches Mathématiques","keywords":"Morphism; Mathematics; Injective function; Multiplier (economics); Pure mathematics; Spectrum (functional analysis); Algebra over a field","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005763842,0.0005393907,0.0003657723,0.001409711,0.001513924,0.002033133,0.0004585893,0.0008882648,0.004655296],"category_scores_gemma":[0.001193571,0.0002899656,0.0005007994,0.0005403777,0.002823748,0.003953069,0.002563509,0.001467263,0.0006487519],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000772377,"about_ca_system_score_gemma":0.0004462711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004239583,"about_ca_topic_score_gemma":0.0001936483,"domain_scores_codex":[0.9994786,0.00006365055,0.00002242871,0.000166086,0.0001543057,0.0001149866],"domain_scores_gemma":[0.9995377,0.0001161668,0.00007871263,0.00007041846,0.00009052349,0.0001063812],"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":[0.00001317152,0.000009170768,0.0004187972,0.00002759946,0.000004800826,0.0002086334,0.0002525591,0.0002601737,0.002907784,0.9900928,0.000260884,0.005543582],"study_design_scores_gemma":[0.00001784563,0.00007326202,0.001418931,0.0000458759,0.00002120009,0.00167719,0.0003714981,0.00423756,0.00850263,0.9634477,0.02014382,0.00004242609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6567541,0.001392375,0.1646869,0.001725292,0.0004466076,0.0000525733,0.0002793182,0.0004749201,0.1741879],"genre_scores_gemma":[0.9743454,0.0006283614,0.0132698,0.0001637508,0.0002084149,0.00003892168,0.000115074,0.00008330281,0.011147],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004655296,"threshold_uncertainty_score":0.01557356,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1644824291493711,"score_gpt":0.2344415374906719,"score_spread":0.06995910834130079,"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."}}