{"id":"W2036846729","doi":"10.1063/1.4830008","title":"On the exact evaluation of spin networks","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Amplitude; Graph theory; Mathematics; Graph; Spin (aerodynamics); Spin network; Algebra over a field; Computer science; Discrete mathematics; Quantum mechanics; Physics; Pure mathematics; Combinatorics; Quantum","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":[0.001008059,0.00008659915,0.0002248623,0.0000149935,0.00004813195,0.00002763088,0.0001630036,0.00001628377,0.001320002],"category_scores_gemma":[0.00007279213,0.00004664776,0.0001597912,0.00008702266,0.0000907572,0.0001347401,0.00002142388,0.0002122007,0.00005205092],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001306278,"about_ca_system_score_gemma":0.00003715679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003120642,"about_ca_topic_score_gemma":2.790535e-8,"domain_scores_codex":[0.9989121,0.0001860053,0.000338954,0.00004213678,0.0004221725,0.0000986536],"domain_scores_gemma":[0.9982237,0.0007746777,0.0004072307,0.0001565351,0.0004000165,0.00003781792],"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":[0.000008507301,0.0002844692,0.0001073358,0.0000083266,0.00008953019,9.69436e-8,0.000328399,0.00117761,0.0002184872,0.9832532,0.001343756,0.01318025],"study_design_scores_gemma":[0.0002429224,0.0001151631,0.0003048087,0.0000898199,0.00007828712,5.959824e-7,0.0004884019,0.01800995,0.002229285,0.9783813,0.00001033204,0.00004918211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8629793,0.00002049209,0.1197872,0.000374764,0.00007033871,0.0001955796,0.000002128617,0.000002113866,0.01656804],"genre_scores_gemma":[0.9992673,5.606664e-7,0.0003731734,0.00004102333,0.000280308,0.000005963764,7.782861e-7,0.000007869239,0.00002307118],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1362879,"threshold_uncertainty_score":0.9995929,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03640879662241074,"score_gpt":0.3150757959700615,"score_spread":0.2786669993476507,"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."}}