{"id":"W2955064194","doi":"","title":"Reconstruction Number For Ulam's Conjecture.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjecture; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003429037,0.0001499316,0.0002169209,0.00004144995,0.000143875,0.00002949438,0.0001270828,0.0001359837,0.0003128057],"category_scores_gemma":[0.0001832327,0.0001449155,0.000115715,0.0001628049,0.00006631418,0.0001133727,0.00002436953,0.0001143845,0.00009726559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004522906,"about_ca_system_score_gemma":0.0000243403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001628859,"about_ca_topic_score_gemma":0.000004084946,"domain_scores_codex":[0.9990888,0.00005095336,0.0002620031,0.000216016,0.000130267,0.0002519334],"domain_scores_gemma":[0.9989657,0.0005189518,0.0001222023,0.0002712745,0.0000781786,0.00004370532],"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":[0.00002523142,0.00008936826,0.002777554,0.00004141628,0.00002616164,0.000001853832,0.00003680613,5.582346e-7,0.0001297831,0.9830559,0.01296186,0.0008534322],"study_design_scores_gemma":[0.001028935,0.00003733723,0.0005183484,0.00001896294,0.00003792173,0.00006825335,0.00005440946,0.00001674148,0.006156905,0.9880984,0.003781699,0.0001820336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9729381,0.00002928411,0.0007566539,0.0001470253,0.002457335,0.000318483,0.000007772609,0.0001634176,0.02318196],"genre_scores_gemma":[0.9943607,0.000001469732,0.003048719,0.00004229444,0.0000637603,0.00004381289,0.00001275686,0.00003103181,0.002395395],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02142269,"threshold_uncertainty_score":0.5909481,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01492776146945275,"score_gpt":0.2647661887584002,"score_spread":0.2498384272889475,"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."}}