{"id":"W4414398250","doi":"10.33137/codex.v1i1.45640","title":"Goldbach’s Conjecture","year":2025,"lang":"en","type":"article","venue":"Journal of Computing Data and Exploration","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Goldbach's conjecture; Riemann hypothesis; Conjecture; Number theory; State (computer science)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006420593,0.00006105401,0.0001494926,0.00009047703,0.0001371831,0.00005192281,0.0002276589,0.00004096112,0.000003509077],"category_scores_gemma":[0.0003230181,0.00004362059,0.00002289935,0.00008693551,0.00002980418,0.0003308679,0.000180212,0.0001444599,2.095961e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007716567,"about_ca_system_score_gemma":0.00002918163,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.888996e-7,"about_ca_topic_score_gemma":0.000001117365,"domain_scores_codex":[0.9994034,0.00005731053,0.0002939218,0.00007854233,0.0001014988,0.00006530225],"domain_scores_gemma":[0.9992115,0.0002445458,0.0002212739,0.0002257591,0.0000738388,0.00002309013],"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":[0.00008729605,0.0000582382,0.001280515,0.0001868586,0.0001894191,0.00001568266,0.004728355,0.000124455,0.0003553274,0.8547352,0.06063569,0.07760295],"study_design_scores_gemma":[0.0005411609,0.00006737394,0.0005513517,0.0001957396,0.00008581361,0.00005986865,0.0007346916,0.006098086,0.0002368818,0.9785253,0.01282106,0.00008264655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6461997,0.000619798,0.3496791,0.001271736,0.001140489,0.00007748754,0.000009482837,0.00002019351,0.0009820168],"genre_scores_gemma":[0.9860722,0.00006400952,0.01345696,0.0001443488,0.0002194229,6.679169e-8,0.000007771163,0.000003835949,0.00003143081],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3398724,"threshold_uncertainty_score":0.1778796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08057890878785307,"score_gpt":0.3694907822998896,"score_spread":0.2889118735120366,"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."}}