{"id":"W4416012590","doi":"10.1080/03081087.2025.2578529","title":"The quantum Ramsey numbers <i>QR</i> (2, <i>k</i> )","year":2025,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"Air Force Office of Scientific Research; National Science Foundation","keywords":"Ramsey's theorem; Quantum; Class (philosophy); Field (mathematics); Boolean function","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":[0.0005263306,0.0002269167,0.0002585782,0.00005344714,0.0008882241,0.00007659672,0.0003120705,0.0001449372,0.00002357886],"category_scores_gemma":[0.0005287658,0.0001410623,0.0001363397,0.0002083018,0.0003328301,0.00006462172,0.0002355923,0.0003315518,0.00001166262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001218202,"about_ca_system_score_gemma":0.00003808118,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002853139,"about_ca_topic_score_gemma":0.00002892983,"domain_scores_codex":[0.998684,0.0001024491,0.0003660297,0.0003069066,0.0001825067,0.0003581326],"domain_scores_gemma":[0.998103,0.001101289,0.00008106135,0.0005399277,0.00008528357,0.000089485],"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":[0.0001188494,0.00005312013,0.0008614878,0.0000861992,0.0001282606,0.000005582696,0.0006854901,0.000002410417,0.0002185216,0.9718636,0.01116639,0.01481012],"study_design_scores_gemma":[0.001379134,0.00004789537,0.0005752039,0.00006885229,0.0001139588,0.00001492136,0.0006062503,0.007940377,0.002720532,0.6984704,0.2877265,0.0003359877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9553245,0.003106652,0.004190608,0.002131072,0.002666197,0.0009009296,0.00004137279,0.0004500089,0.0311886],"genre_scores_gemma":[0.982225,0.0006771233,0.006018396,0.001724947,0.0003320093,0.00002854431,0.000007385073,0.0000469214,0.008939644],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2765601,"threshold_uncertainty_score":0.6831592,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01472365784682541,"score_gpt":0.311323946425192,"score_spread":0.2966002885783666,"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."}}