{"id":"W1751653348","doi":"","title":"A Proof of George Andrews' and David Robbins' $q$-TSPP Conjecture","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Conjecture; Combinatorics; Enumeration; Mathematics; Partition (number theory); George (robot); Invariant (physics); Enumerative combinatorics; Plane (geometry); Row; Unit (ring theory); Discrete mathematics; Geometry; Computer science; History; Art history; Mathematical physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002349954,0.0005694501,0.0006112404,0.001236009,0.002320549,0.002279154,0.001690001,0.00130778,0.02579683],"category_scores_gemma":[0.01082591,0.0006479415,0.001146017,0.002274251,0.005853056,0.005704239,0.005023556,0.004964595,0.003993526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002939233,"about_ca_system_score_gemma":0.001440899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006592882,"about_ca_topic_score_gemma":0.004560478,"domain_scores_codex":[0.9980445,0.0004774924,0.00008189466,0.0003392711,0.0007904349,0.0002663602],"domain_scores_gemma":[0.9946554,0.003012671,0.0002575534,0.0005762299,0.001104837,0.0003933183],"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":[0.00002697167,0.00002649943,0.0004131762,0.00005619097,0.000006779511,0.0002249893,0.0002457839,0.0006209262,0.0003566839,0.9698066,0.02184705,0.006368327],"study_design_scores_gemma":[0.00003957991,0.00002204772,0.0005043509,0.00005804436,0.00001480716,0.0003157547,0.000206348,0.006072836,0.001151463,0.9314557,0.06013848,0.00002048514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.09276097,0.002928902,0.2853855,0.06200432,0.004349703,0.000194364,0.001931234,0.001572951,0.5488721],"genre_scores_gemma":[0.8593909,0.002074452,0.06808838,0.007850423,0.002733552,0.0003568454,0.001484585,0.0003329958,0.05768792],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02579683,"threshold_uncertainty_score":0.086299,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01731427388475824,"score_gpt":0.2989043452624265,"score_spread":0.2815900713776682,"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."}}