Investment in Gold (Details) - Schedule of Changes in Ounces of Gold and the Respective Fair Value	12 Months Ended
	Jan. 31, 2024 USD ($) oz	Jan. 31, 2023 USD ($) oz	Jan. 31, 2022 USD ($) oz
Schedule of Changes in Ounces of Gold and the Respective Fair Value [Abstract]
Beginning balance, Ounces | oz	341,282	326,554	237,409
Beginning balance, Fair Value | $	$ 656,592,807	$ 586,245,778	$ 442,483,116
Ending balance, Ounces | oz	383,204	341,282	326,554
Ending balance, Fair value | $	$ 780,184,353	$ 656,592,807	$ 586,245,778
Gold bullion contributed, Ounces | oz	56,653	73,293	98,772
Gold bullion contributed, Fair Value | $	$ 112,428,811	$ 135,924,342	$ 177,971,942
Gold bullion distributed, Ounces | oz	(14,731)	(58,565)	(9,627)
Gold bullion distributed, Fair Value | $	$ (28,535,230)	$ (98,749,370)	$ (17,297,123)
Realized gain (loss) from gold distributed from in-kind, Ounces | oz
Realized gain (loss) from gold distributed from in-kind, Fair Value | $	$ 3,399,475	$ 1,178,406	$ 1,756,856
Change in unrealized appreciation (depreciation), Ounces | oz
Change in unrealized appreciation (depreciation), Fair Value | $	$ 36,298,490	$ 31,993,651	$ (18,669,013)