{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001664932,0.0006374357,0.001029482,0.001545842,0.00203685,0.003392626,0.001667593,0.002498556,0.0275223],"category_scores_gemma":[0.01001183,0.0004278137,0.0007989773,0.001420247,0.003852996,0.008081364,0.003348219,0.004832289,0.003246527],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001620148,"about_ca_system_score_gemma":0.0008266998,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008046217,"about_ca_topic_score_gemma":0.00062918,"domain_scores_codex":[0.9989023,0.0002789573,0.00003822832,0.0002388585,0.0003321751,0.0002094353],"domain_scores_gemma":[0.9950308,0.003157964,0.0002988483,0.0006973378,0.0004506911,0.0003643459],"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":[0.000115232,0.00002216617,0.0003959993,0.00008934281,0.00001022824,0.00006871684,0.0001083037,0.0006489481,0.00025831,0.9800494,0.009645081,0.00858834],"study_design_scores_gemma":[0.00002796564,0.00001826944,0.0003060853,0.00002824932,0.00001298659,0.0001086611,0.0000816336,0.00317603,0.0004001237,0.9869307,0.008898726,0.00001055196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.2178883,0.005466672,0.145651,0.04473205,0.003510462,0.0001179054,0.00163635,0.00137936,0.5796178],"genre_scores_gemma":[0.9383565,0.001579761,0.02179856,0.002310047,0.001394528,0.0001060808,0.001295902,0.0001674247,0.03299112],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.0275223,"threshold_uncertainty_score":0.09207124,"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."}}