{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000236433,0.000169074,0.0003530424,0.00005446287,0.00004422925,0.00001656989,0.0001668134,0.00015251,0.0002077017],"category_scores_gemma":[0.0008124504,0.0001306729,0.00004787337,0.0001153346,0.0001102479,0.0001049577,0.0001136783,0.0002774631,0.000004635498],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000815461,"about_ca_system_score_gemma":0.00003378299,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004802648,"about_ca_topic_score_gemma":0.00003800198,"domain_scores_codex":[0.9990444,0.00001979124,0.0003383319,0.0001924608,0.0002018208,0.0002032116],"domain_scores_gemma":[0.9987675,0.0004056694,0.0001817999,0.0004573037,0.00009729045,0.00009044028],"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":[0.00001053977,0.0001671097,0.0001406772,0.0002731596,0.00002251253,0.000002927217,0.0006261059,4.264723e-7,0.01296843,0.9841769,0.0006387015,0.0009724984],"study_design_scores_gemma":[0.00067463,0.00009162597,0.00002702063,0.000032168,0.00003304091,0.00003481414,0.00008361156,0.0001678998,0.07249871,0.9239227,0.00226975,0.0001640205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9690461,0.00003981302,0.01533962,0.0002636655,0.0005006061,0.0006578168,0.000009530027,0.0001426065,0.01400031],"genre_scores_gemma":[0.8882179,0.000003126942,0.1096329,0.00003219209,0.00008620934,0.00001840644,0.000001397255,0.00003805124,0.001969913],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09429324,"threshold_uncertainty_score":0.5328686,"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."}}