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Additional Valuation Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Mar. 31, 2023
Dec. 31, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 1,071,999,409 $ 1,272,386,571
Exchange-Traded Fund 141,505,177 141,250,406
Money Market Mutual Fund 1,002,772,527 1,284,100,134
Total Investments in Securities 2,216,277,113 2,697,737,111
Commodity Futures Contracts, Appreciation 75,719,153 83,629,274
Commodity Futures Contracts, Depreciation (159,722,283) (119,988,845)
Commodity Futures Contracts (84,003,130) 36,359,571
Total Investments 2,132,273,983 2,661,377,540
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 141,505,177 141,250,406
Money Market Mutual Fund 1,002,772,527 1,284,100,134
Total Investments in Securities 1,144,277,704 1,425,350,540
Commodity Futures Contracts, Appreciation 75,719,153 83,629,274
Commodity Futures Contracts, Depreciation (159,722,283) (119,988,845)
Commodity Futures Contracts (84,003,130) 36,359,571
Total Investments 1,071,999,409 1,388,990,969
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 1,071,999,409 1,272,386,571
Total Investments in Securities 1,071,999,409 1,272,386,571
Total Investments $ 1,060,274,574 $ 1,272,386,571