{"id":"W3175387841","doi":"10.1007/s00222-022-01169-y","title":"The Coven–Meyerowitz tiling conditions for 3 odd prime factors","year":2022,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia","keywords":"Algorithm; Cardinality (data modeling); Prime (order theory); Mathematics; Combinatorics; Computer science; Database","routes":{"ca_aff":true,"ca_fund":true,"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":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004608208,0.0001059696,0.0001380516,0.00002641373,0.001781374,0.0001423047,0.0002998355,0.00002111475,0.001883112],"category_scores_gemma":[0.000128264,0.000067748,0.000127845,0.00008442562,0.0001156256,0.00009837779,0.0001318087,0.00007354823,0.00004290073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004391156,"about_ca_system_score_gemma":0.00003198063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001304839,"about_ca_topic_score_gemma":0.000006391776,"domain_scores_codex":[0.9989893,0.00007866881,0.0002870372,0.0001613574,0.0002561805,0.0002274356],"domain_scores_gemma":[0.999231,0.00029445,0.0001489809,0.0002436688,0.00004688257,0.00003506034],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008514459,0.0001964183,0.0001979313,0.0002815363,0.00005312841,0.000002071003,0.003266533,0.0003201802,0.5784475,0.4041147,0.01255927,0.000475655],"study_design_scores_gemma":[0.0005043926,0.0002410192,0.0004616828,0.00004710154,0.00007177295,0.00003053594,0.004199669,0.001837214,0.1308453,0.7561428,0.1052656,0.0003528756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9940875,0.0002984465,0.002469472,0.0005833821,0.0007318997,0.0006044444,0.0001951579,0.0001074286,0.0009223097],"genre_scores_gemma":[0.9963194,0.000003465347,0.0005793195,0.00008690534,0.00005532346,0.0003324684,0.00002758309,0.00001884934,0.0025767],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4476022,"threshold_uncertainty_score":0.9995182,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03115552356083937,"score_gpt":0.271098783799678,"score_spread":0.2399432602388386,"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."}}