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Fair Value of Investments in Digital Assets - Changes in Quantity of Each Fund Component and Their Respective Fair Values (Details)
3 Months Ended 12 Months Ended
Aug. 01, 2025
USD ($)
Apr. 03, 2025
USD ($)
Jan. 04, 2025
USD ($)
Oct. 03, 2024
USD ($)
Jul. 03, 2024
USD ($)
Apr. 03, 2024
USD ($)
Jan. 04, 2024
USD ($)
Oct. 04, 2023
USD ($)
Jul. 06, 2023
USD ($)
Sep. 30, 2025
USD ($)
Quantity
Sep. 30, 2024
USD ($)
Quantity
Jun. 30, 2025
USD ($)
Quantity
Summary Of Investment Holdings [Line Items]                        
Balance at Fair Value                   $ 777,222,000    
Net change in unrealized appreciation on investments in digital assets                   (21,466,000) $ (20,358,000)  
Net realized gain (loss) on investment $ 1,646,526 $ 1,247,808 $ 6,907,147 $ 339,366 $ 777,961 $ (8,236,118) $ 7,968,963 $ 149,939 $ 906,943 4,232,000 $ 2,362,000  
Balance at Fair Value end                   $ 740,635,000   $ 777,222,000
Bitcoin                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   5,757.74321433 5,990.4948489 5,990.4948489
Quantity contributed | Quantity                   43.21575624   0
Quantity redeemed | Quantity                   (986.81319085)    
Quantity distributed from portfolio rebalancing | Quantity                   (11.31358359)   (86.13516106)
Quantity distributed for Manager's Fee, related party | Quantity                   (32.41528405)   (146.61647351)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                   0   0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity net realized gain on investment sold for rebalancing | Quantity                   0    
Quantity net realized gain on investment sold to pay expenses | Quantity                   0    
Quantity realized Investment Gains Losses Sold for Redemption of Shares | Quantity                   0    
Quantity, Balance end | Quantity                   4,770.41691208   5,757.74321433
Balance at Fair Value                   $ 620,419,000 $ 370,987,000 $ 370,987,000
Fair Value, contributed                   4,721,000   0
Fair Value, redeemed                   (110,692,000)    
Fair value, distributed from portfolio rebalancing                   (1,320,000)   (7,792,000)
Fair Value, distributed for Manager's Fee, related party                   (3,713,000)   (12,294,000)
Net change in unrealized appreciation on investments in digital assets                   (66,617,000)   252,302,000
Net realized gain (loss) on investment                       17,216,000
Net realized gain on investment fair value in sold for rebalancing                   1,181,000    
Net realized Fair value gain on investment sold to pay expenses                   3,307,000    
Net realized gain on investment in sold for redemption of Shares                   98,459,000    
Balance at Fair Value end                   $ 545,745,000   $ 620,419,000
Ether                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   35,007.73089383 36,577.59452337 36,577.59452337
Quantity contributed | Quantity                   262.18571424   0
Quantity redeemed | Quantity                   (5,986.89793031)    
Quantity distributed from portfolio rebalancing | Quantity                   (144.54990172)    
Quantity contributed from portfolio rebalancing | Quantity                       (677.32474886)
Quantity distributed for Manager's Fee, related party | Quantity                   (196.82167784)   (892.53888068)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                   0   0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity net realized gain on investment sold for rebalancing | Quantity                   0    
Quantity net realized gain on investment sold to pay expenses | Quantity                   0    
Quantity realized Investment Gains Losses Sold for Redemption of Shares | Quantity                   0    
Quantity, Balance end | Quantity                   28,941.6470982   35,007.73089383
Balance at Fair Value                   $ 88,088,000 $ 125,205,000 $ 125,205,000
Fair Value, contributed                   1,056,000   0
Fair Value, redeemed                   (24,862,000)    
Fair value, distributed from portfolio rebalancing                   (541,000)    
Fair value, contributed from portfolio rebalancing                       (2,176,000)
Fair Value, distributed for Manager's Fee, related party                   (766,000)   (2,404,000)
Net change in unrealized appreciation on investments in digital assets                   34,484,000   (36,331,000)
Net realized gain (loss) on investment                       3,794,000
Net realized gain on investment fair value in sold for rebalancing                   468,000    
Net realized Fair value gain on investment sold to pay expenses                   666,000    
Net realized gain on investment in sold for redemption of Shares                   21,851,000    
Balance at Fair Value end                   $ 120,444,000   $ 88,088,000
XRP                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   16,870,769.902426 16,719,307.91934 16,719,307.91934
Quantity contributed | Quantity                   128,423.038068   0
Quantity redeemed | Quantity                   (2,932,484.796374)    
Quantity contributed from portfolio rebalancing | Quantity                   205,224.496447   573,017.27619
Quantity distributed for Manager's Fee, related party | Quantity                   (95,819.888766)   (421,555.293104)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                   0   0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity net realized gain on investment sold for rebalancing | Quantity                   0    
Quantity net realized gain on investment sold to pay expenses | Quantity                   0    
Quantity realized Investment Gains Losses Sold for Redemption of Shares | Quantity                   0    
Quantity, Balance end | Quantity                   14,176,112.751801   16,870,769.902426
Balance at Fair Value                   $ 39,140,000 $ 7,917,000 $ 7,917,000
Fair Value, contributed                   358,000   0
Fair Value, redeemed                   (8,383,000)    
Fair value, contributed from portfolio rebalancing                   629,000   648,000
Fair Value, distributed for Manager's Fee, related party                   (284,000)   (695,000)
Net change in unrealized appreciation on investments in digital assets                   2,335,000   30,822,000
Net realized gain (loss) on investment                       448,000
Net realized gain on investment fair value in sold for rebalancing                   0    
Net realized Fair value gain on investment sold to pay expenses                   223,000    
Net realized gain on investment in sold for redemption of Shares                   6,525,000    
Balance at Fair Value end                   $ 40,543,000   $ 39,140,000
SOL                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   148,399.95605973 135,348.78720949 135,348.78720949
Quantity contributed | Quantity                   1,168.80868332   0
Quantity redeemed | Quantity                   (26,689.24318586)    
Quantity contributed from portfolio rebalancing | Quantity                   7,001.82661641   16,607.5500989
Quantity distributed for Manager's Fee, related party | Quantity                   (861.16667256)   (3,556.38124866)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                   0   0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity net realized gain on investment sold for rebalancing | Quantity                   0    
Quantity net realized gain on investment sold to pay expenses | Quantity                   0    
Quantity realized Investment Gains Losses Sold for Redemption of Shares | Quantity                   0    
Quantity, Balance end | Quantity                   129,020.18150104   148,399.95605973
Balance at Fair Value                   $ 23,417,000 $ 19,574,000 $ 19,574,000
Fair Value, contributed                   235,000   0
Fair Value, redeemed                   (5,736,000)    
Fair value, contributed from portfolio rebalancing                   1,229,000   2,425,000
Fair Value, distributed for Manager's Fee, related party                   (163,000)   (597,000)
Net change in unrealized appreciation on investments in digital assets                   5,536,000   1,849,000
Net realized gain (loss) on investment                       166,000
Net realized gain on investment fair value in sold for rebalancing                   (1,000)    
Net realized Fair value gain on investment sold to pay expenses                   55,000    
Net realized gain on investment in sold for redemption of Shares                   2,383,000    
Balance at Fair Value end                   $ 26,955,000   $ 23,417,000
ADA                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   10,440,402.251514 0 0
Quantity contributed | Quantity                   78,550.240584   0
Quantity redeemed | Quantity                   (1,793,660.932427)    
Quantity contributed from portfolio rebalancing | Quantity                   4,425.609104   10,568,299.628398
Quantity distributed for Manager's Fee, related party | Quantity                   (58,865.863878)   (127,897.376884)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                   0   0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity net realized gain on investment sold for rebalancing | Quantity                   0    
Quantity net realized gain on investment sold to pay expenses | Quantity                   0    
Quantity realized Investment Gains Losses Sold for Redemption of Shares | Quantity                   0    
Quantity, Balance end | Quantity                   8,670,851.304897   10,440,402.251514
Balance at Fair Value                   $ 6,158,000 $ 0 $ 0
Fair Value, contributed                   62,000   0
Fair Value, redeemed                   (1,455,000)    
Fair value, contributed from portfolio rebalancing                   3,000   11,727,000
Fair Value, distributed for Manager's Fee, related party                   (46,000)   (96,000)
Net change in unrealized appreciation on investments in digital assets                   2,796,000   (5,523,000)
Net realized gain (loss) on investment                       50,000
Net realized gain on investment fair value in sold for rebalancing                   0    
Net realized Fair value gain on investment sold to pay expenses                   (19,000)    
Net realized gain on investment in sold for redemption of Shares                   (551,000)    
Balance at Fair Value end                   $ 6,948,000   $ 6,158,000
AVAX                        
Summary Of Investment Holdings [Line Items]                        
Quantity, Balance | Quantity                   0 114,955.6647938 114,955.6647938
Quantity contributed | Quantity                       0
Quantity distributed from portfolio rebalancing | Quantity                       (113,418.90243682)
Quantity distributed for Manager's Fee, related party | Quantity                       (1,536.76235698)
Quantity net change in unrealized appreciation (depreciation) on investment | Quantity                       0
Quantity, net realized gain (loss) on investment | Quantity                       0
Quantity, Balance end | Quantity                       0
Balance at Fair Value                   $ 0 $ 3,273,000 $ 3,273,000
Fair Value, contributed                       0
Fair value, distributed from portfolio rebalancing                       (4,832,000)
Fair Value, distributed for Manager's Fee, related party                       (47,000)
Net change in unrealized appreciation on investments in digital assets                       1,014,000
Net realized gain (loss) on investment                       592,000
Balance at Fair Value end                       $ 0