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Investment in Gold - Schedule of Changes in Ounces of Gold and the Respective Fair Value (Details) - Gold [Member]
6 Months Ended 12 Months Ended
Jul. 31, 2025
USD ($)
oz
Jan. 31, 2025
USD ($)
oz
Schedule of Changes in Ounces of Gold and the Respective Fair Value [Line Items]    
Beginning balance, Ounces | oz 469,450 383,204
Beginning balance, Fair Value | $ $ 1,314,597,403 $ 780,184,353
Gold bullion contributed, Ounces | oz 69,894 89,807
Gold bullion contributed, Fair Value | $ $ 224,425,657 $ 227,982,044
Gold bullion distributed, Ounces | oz (3,582) (3,561)
Gold bullion distributed, Fair Value | $ $ (10,926,272) $ (9,295,825)
Realized gain (loss) from gold distributed from in-kind, Ounces | oz
Realized gain (loss) from gold distributed from in-kind, Fair Value | $ $ 4,040,610 $ 2,788,531
Change in unrealized appreciation (depreciation), Ounces | oz
Change in unrealized appreciation (depreciation), Fair Value | $ $ 231,080,838 $ 312,938,300
Ending balance, Ounces | oz 535,762 469,450
Ending balance, Fair value | $ $ 1,763,218,236 $ 1,314,597,403