{"id":"W1965720776","doi":"10.1007/s12220-011-9264-2","title":"A Bernstein Type Theorem for Entire Willmore Graphs","year":2011,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Type (biology); Square (algebra); Square-integrable function; Willmore energy; Integrable system; Plane (geometry); Mathematical analysis; Pure mathematics; Geometry; Mean curvature; Principal curvature; Curvature","routes":{"ca_aff":true,"ca_fund":false,"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":["bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002254602,0.0002607912,0.001216485,0.008113861,0.0001248504,0.00006336053,0.0006062034,0.0001727722,0.001307114],"category_scores_gemma":[0.002797325,0.0001832867,0.002190806,0.02671024,0.00006132526,0.0002639882,0.00005386933,0.000283954,0.0000113378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006655433,"about_ca_system_score_gemma":0.00006799898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004759894,"about_ca_topic_score_gemma":0.00003634976,"domain_scores_codex":[0.9972787,0.00009739936,0.0011897,0.0002526031,0.0008056292,0.0003760021],"domain_scores_gemma":[0.9956092,0.0006764223,0.001517174,0.0004731427,0.00149464,0.0002294363],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001694592,0.005750429,0.4775852,0.0005377103,0.1319918,0.0003445939,0.004848505,0.0004694331,0.0002201453,0.1654144,0.07166489,0.1394783],"study_design_scores_gemma":[0.007047263,0.005218278,0.1627572,0.0002015448,0.1642687,0.0002879433,0.008381865,0.004924883,0.001352899,0.5986989,0.04407362,0.002786955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7500957,0.003961588,0.240248,0.0001513846,0.0004832789,0.000287821,0.00002729825,0.00003975786,0.004705149],"genre_scores_gemma":[0.9719008,0.0002325532,0.0261897,0.00005558905,0.0001575958,0.000003670055,0.000008805792,0.0000282056,0.001423091],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4332845,"threshold_uncertainty_score":0.9996058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05905193517431868,"score_gpt":0.2951660555189727,"score_spread":0.2361141203446541,"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."}}