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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 $ 566,383,520 $ 666,431,938
Exchange-Traded Fund 73,723,258 73,590,524
Money Market Mutual Fund 486,113,068 909,560,064
Total Investments in Securities 1,126,219,846 1,649,582,526
Commodity Futures Contracts, Unrealized Appreciation (Depreciation) (32,013,149) (7,688,710)
Total Investments 1,094,206,697 1,641,893,816
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 73,723,258 73,590,524
Money Market Mutual Fund 486,113,068 909,560,064
Total Investments in Securities 559,836,326 983,150,588
Commodity Futures Contracts, Unrealized Appreciation (Depreciation) (32,013,149) (7,688,710)
Total Investments 527,823,177 975,461,878
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 566,383,520 666,431,938
Total Investments in Securities 566,383,520 666,431,938
Total Investments $ 566,383,520 $ 666,431,938