{"protocol":"LQBENCH\/2.0","modes":{"closed":"No external tools or retrieval.","standard_tools":"Only the published standard tool set.","native":"The model vendor native quantitative stack.","agentic":"Multi-step tool use with a recorded execution trace.","formal":"Machine-checkable proof or solver verification required."},"suites":{"mathematical_reasoning":{"label":"Mathematical reasoning","weight":1},"statistics_uncertainty":{"label":"Statistics and uncertainty","weight":1},"finance_economics":{"label":"Finance and economics","weight":1},"science":{"label":"Scientific quantitative reasoning","weight":1},"engineering":{"label":"Engineering computation","weight":1},"operations":{"label":"Operations and optimization","weight":1},"agentic_quant":{"label":"Agentic quantitative workflows","weight":1},"formal_verification":{"label":"Formal and machine-checkable tasks","weight":1}},"score_dimensions":{"correctness":{"label":"Correctness","weight":1},"reproducibility":{"label":"Reproducibility","weight":1},"robustness":{"label":"Robustness","weight":1},"grounding":{"label":"Evidence grounding","weight":1},"calculation_integrity":{"label":"Calculation integrity","weight":1},"units_dimensions":{"label":"Units and dimensional consistency","weight":1},"uncertainty_calibration":{"label":"Uncertainty calibration","weight":1},"tool_discipline":{"label":"Tool-use discipline","weight":1},"constraint_adherence":{"label":"Constraint adherence","weight":1},"efficiency":{"label":"Computational efficiency","weight":0.75},"outcome_quality":{"label":"Observed outcome quality","weight":1}},"publication_controls":{"hidden_test_sets":true,"rotating_test_sets":true,"contamination_canaries":true,"immutable_methodology_versions":true,"signed_result_packets":true},"scoring":{"range":[0,1],"aggregation":"weighted arithmetic mean over explicitly reported dimensions","boundary":"A signed profile proves input and result integrity; it is not a universal model ranking or certification."}}