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Additional Valuation Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Sep. 30, 2024
Dec. 31, 2023
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 694,582,126 $ 784,350,648
Exchange-Traded Fund 215,493,570 215,381,398
Money Market Mutual Fund 502,119,732 692,738,727
Total Investments in Securities 1,412,195,428 1,692,470,773
Commodity Futures Contracts, Appreciation 57,857,809 13,652,359
Commodity Futures Contracts, Depreciation (68,219,261) (44,215,202)
Commodity Futures Contracts (10,361,452) (30,562,843)
Total Investments 1,401,833,976 1,661,907,930
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 215,493,570 215,381,398
Money Market Mutual Fund 502,119,732 692,738,727
Total Investments in Securities 717,613,302 908,120,125
Commodity Futures Contracts, Appreciation 57,857,809 13,652,359
Commodity Futures Contracts, Depreciation (68,219,261) (44,215,202)
Commodity Futures Contracts (10,361,452) (30,562,843)
Total Investments 707,251,850 877,557,282
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 694,582,126 784,350,648
Total Investments in Securities 694,582,126 784,350,648
Total Investments $ 694,582,126 $ 784,350,648