{"id":"W4416710500","doi":"10.1090/mbk/154/41","title":"Towards the prime 𝑘-tuplets conjecture","year":2025,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001638434,0.0005429069,0.0007868827,0.001007312,0.00198494,0.003961348,0.0007432225,0.001417158,0.01460935],"category_scores_gemma":[0.003880135,0.0004574851,0.0005828056,0.001219276,0.005232886,0.01236569,0.002473129,0.00589384,0.003745842],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001797889,"about_ca_system_score_gemma":0.0008546094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000822654,"about_ca_topic_score_gemma":0.000648757,"domain_scores_codex":[0.999283,0.0002011092,0.00002541331,0.0001662584,0.0002334625,0.00009075332],"domain_scores_gemma":[0.9984742,0.00087258,0.00007230359,0.0002532311,0.0002041225,0.000123642],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002197396,0.000006768582,0.00006367874,0.0000255243,0.000001828264,0.00001798525,0.0001160474,0.0001488059,0.00008182837,0.9872553,0.007250795,0.005009358],"study_design_scores_gemma":[0.000004470501,0.000002893756,0.00004798236,0.000009917597,0.000001812065,0.00002601643,0.00003246968,0.00023442,0.00007706972,0.9864921,0.01306871,0.000002176632],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.06325916,0.01047957,0.06363983,0.0415318,0.004257721,0.00003427213,0.0005180406,0.0005527129,0.8157268],"genre_scores_gemma":[0.7693818,0.009781731,0.02594648,0.005910083,0.006258579,0.00009104763,0.0006457854,0.0002925533,0.1816918],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01460935,"threshold_uncertainty_score":0.04887319,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02904518829271693,"score_gpt":0.2729379880718498,"score_spread":0.2438927997791329,"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."}}