{"id":"W2108299407","doi":"10.1137/050647785","title":"A Solidification Phenomenon in Random Packings","year":2006,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Mathematics; Uniqueness; Combinatorics; Physics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"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":[0.0005096901,0.0003091841,0.0006426733,0.00151079,0.001359425,0.002146333,0.0006916721,0.00121372,0.004489736],"category_scores_gemma":[0.004641196,0.0006169692,0.0006842699,0.0009343459,0.003003076,0.002494586,0.001787116,0.001170073,0.0006385064],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007396092,"about_ca_system_score_gemma":0.0003297441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007238808,"about_ca_topic_score_gemma":0.0004935645,"domain_scores_codex":[0.9992675,0.0001462263,0.00003326321,0.0001530654,0.0002800147,0.0001199316],"domain_scores_gemma":[0.9979998,0.0007685684,0.0003555765,0.0004236431,0.0002473668,0.0002049378],"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":[0.0002117713,0.00005306384,0.002300755,0.0001984424,0.00004109714,0.0008206912,0.0007765466,0.01481969,0.01503475,0.9384615,0.003965681,0.02331606],"study_design_scores_gemma":[0.0001797522,0.0003839268,0.008133372,0.0002510503,0.00006792386,0.004009008,0.0007711233,0.1378573,0.03210893,0.7819287,0.03418817,0.0001207888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7379528,0.004691136,0.1802319,0.001994306,0.0004906633,0.0001715464,0.000397032,0.000677302,0.07339327],"genre_scores_gemma":[0.9828876,0.0006615394,0.0107063,0.0001917047,0.0001149472,0.00006901101,0.0002145473,0.00007433615,0.005079933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004489736,"threshold_uncertainty_score":0.01501971,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02916442229296608,"score_gpt":0.3126586701779663,"score_spread":0.2834942478850003,"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."}}