{"id":"W2025004500","doi":"10.1016/s0022-4049(01)00102-5","title":"Higher-dimensional Mac Lane's pentagon and Zamolodchikov equations","year":2002,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Pentagon; Mathematics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002707291,0.0001489371,0.0003351418,0.0001039183,0.0001419321,0.00002460163,0.0001143483,0.0001585519,0.001394025],"category_scores_gemma":[0.00005182096,0.0001164291,0.00005785103,0.00007500765,0.0001552764,0.00007153584,0.00005874997,0.000351875,0.00002289011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001245711,"about_ca_system_score_gemma":0.00001419395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001106088,"about_ca_topic_score_gemma":0.000004319327,"domain_scores_codex":[0.999019,0.00005225912,0.0004001701,0.000145097,0.0001837702,0.0001997425],"domain_scores_gemma":[0.9989938,0.0004375982,0.0002735164,0.0001202571,0.00004290661,0.0001319525],"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":[0.00004264734,0.0001769558,0.000311509,0.00003183395,0.0001289069,0.00008162023,0.0004744683,0.000001293794,0.001792215,0.9789582,0.01158469,0.006415681],"study_design_scores_gemma":[0.001598884,0.0003120918,0.001459318,0.00003166699,0.0001929312,0.001173177,0.0002107967,0.00005177655,0.0009978751,0.9889162,0.004819924,0.0002353826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9869475,0.001045307,0.0003812785,0.003825305,0.0002839474,0.0001250381,0.000005100176,0.00002218095,0.007364382],"genre_scores_gemma":[0.9947301,0.00008394897,0.003358308,0.0006095546,0.0003162647,0.000004315604,0.000001623675,0.00001457202,0.0008813745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009957992,"threshold_uncertainty_score":0.9995188,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03073666648458068,"score_gpt":0.2731490012988069,"score_spread":0.2424123348142262,"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."}}