{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001143155,0.0002345717,0.0007787517,0.0005421824,0.0001290375,0.0001384593,0.000243329,0.0001034675,0.0008235762],"category_scores_gemma":[0.00153718,0.0001713348,0.000340943,0.001230547,0.00004281523,0.0000930373,0.00002762525,0.0003963519,0.0001297588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001267745,"about_ca_system_score_gemma":0.00004246372,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005062622,"about_ca_topic_score_gemma":0.00001447084,"domain_scores_codex":[0.997541,0.0001077437,0.001020091,0.0002699356,0.0006517682,0.0004094432],"domain_scores_gemma":[0.9975319,0.001538644,0.0003557638,0.0002763745,0.0001452431,0.0001520876],"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":[0.0001042303,0.0006935699,0.0000413344,0.00009873779,0.0002509221,0.00005445447,0.0001770453,0.0003987819,0.000138505,0.9963308,0.0002370601,0.001474536],"study_design_scores_gemma":[0.0009789543,0.00009170432,0.0001127133,0.00008836899,0.0006899939,0.00003060589,0.0001059466,0.03649804,0.00009384669,0.9610422,0.0000716419,0.0001960243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02790511,0.00005408748,0.9644228,0.0005927398,0.00004085421,0.0001713443,0.000007542907,0.00004025975,0.006765241],"genre_scores_gemma":[0.9502855,0.00001552581,0.04885314,0.0000909016,0.0001730489,0.00002457547,0.000006002981,0.00002869398,0.0005226373],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9223804,"threshold_uncertainty_score":0.9017582,"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."}}