{"id":"W4402734443","doi":"10.4236/ojdm.2024.143004","title":"The Goldbach Conjecture Is True","year":2024,"lang":"en","type":"article","venue":"Open Journal of Discrete Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Ontario Tech University","funders":"","keywords":"Goldbach's conjecture; Mathematics; Conjecture; Combinatorics; Collatz conjecture; Discrete mathematics","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":["scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.004607017,0.0002523774,0.0005285307,0.0001306169,0.0002778521,0.001713523,0.002207443,0.0001129454,0.0007437353],"category_scores_gemma":[0.001301167,0.0001333467,0.0003117357,0.0004089065,0.0002044378,0.000450103,0.0005025813,0.0008346349,0.0001666027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009361606,"about_ca_system_score_gemma":0.0002803254,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001865874,"about_ca_topic_score_gemma":0.000004930436,"domain_scores_codex":[0.9973168,0.0002176538,0.001012895,0.0001818894,0.0008525669,0.0004181626],"domain_scores_gemma":[0.9948701,0.003640744,0.0003959434,0.0006913561,0.0002278524,0.0001739648],"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":[0.0000642844,0.0000964456,0.000009365312,0.0005935073,0.000491079,0.0001982001,0.006981796,0.000002395257,0.0003438374,0.8956119,0.09065707,0.004950077],"study_design_scores_gemma":[0.0004145068,0.0002595414,0.000003712017,0.0008230507,0.000148739,0.0008404684,0.002739792,0.001455461,0.001344967,0.9418296,0.04994369,0.0001964338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3120914,0.01868788,0.09019295,0.07273881,0.005528548,0.006452936,0.0003742436,0.0003628189,0.4935704],"genre_scores_gemma":[0.799675,0.001039144,0.1373925,0.0004897602,0.001406827,0.00006146464,0.000005082917,0.0004714099,0.05945873],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4875837,"threshold_uncertainty_score":0.9993228,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0854747755188135,"score_gpt":0.4140941728248309,"score_spread":0.3286193973060174,"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."}}