Related Party Loans and Convertible Notes - Schedule of Term Loans (Details) $ in Thousands		3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 11, 2025 USD ($)	Sep. 30, 2025 USD ($) crypto_unit	Sep. 30, 2024 USD ($)	Sep. 30, 2025 USD ($) crypto_unit	Sep. 30, 2024 USD ($)	Dec. 31, 2024 USD ($) crypto_unit	May 16, 2025	Jan. 23, 2025 USD ($)	May 16, 2024 USD ($)
Debt Instrument [Line Items]
Unrealized loss		$ 24,989	$ 0	$ 119,309	$ 0
Conversion of convertible notes to common stock in connection with IPO				(804,297)	$ 0
Crypto assets held		$ 674,963		$ 674,963		$ 470,101
Bitcoin
Debt Instrument [Line Items]
Number of crypto assets held (in units) \| crypto_unit		5,302		5,302		4,414
Ether
Debt Instrument [Line Items]
Number of crypto assets held (in units) \| crypto_unit		11,134		11,134		5,301
Secured Debt
Debt Instrument [Line Items]
Aggregate Principal Amount		$ 475,000		$ 475,000
Fair value of Principal Outstanding						$ 230,704
Amounts Drawn/Borrowed				212,758
Principal outstanding		443,500		443,500
Unrealized loss				119,309
Change in fair value attributable to instrument-specific credit risk				(2,396)
Conversion of convertible notes to common stock in connection with IPO	$ (585,000)			(584,560)
Interest Expense				17,680
Interest Payable		0		0
Cash received for issuance of long term debt				26,900
Cash received for issuance of long term debt, utilized during the period				26,900
Crypto assets held		$ 182,500		$ 182,500
Secured Debt \| Bitcoin
Debt Instrument [Line Items]
Crypto assets received in issuance of long-term debt (in units) \| crypto_unit				4,841
Crypto assets received for issuance of long term debt, utilized during the period (in units) \| crypto_unit				3,241
Number of crypto assets held (in units) \| crypto_unit		1,600		1,600
Secured Debt \| Ether
Debt Instrument [Line Items]
Crypto assets received in issuance of long-term debt (in units) \| crypto_unit				9,000
Crypto assets received for issuance of long term debt, utilized during the period (in units) \| crypto_unit				9,000
Secured Debt \| Minimum
Debt Instrument [Line Items]
Stated interest rate		4.00%		4.00%
Secured Debt \| Maximum
Debt Instrument [Line Items]
Stated interest rate		16.00%		16.00%
Secured Debt \| Term Loan 2024
Debt Instrument [Line Items]
Aggregate Principal Amount									$ 275,000
Fair value of Principal Outstanding						230,704
Amounts Drawn/Borrowed				$ 44,296		230,704
Amount Repaid						0
Principal outstanding						230,704
Unrealized loss				76,424
Change in fair value attributable to instrument-specific credit risk				(2,594)
Conversion of convertible notes to common stock in connection with IPO				(369,146)
Interest Expense				13,811		6,505
Interest Payable		$ 0		$ 0		$ 6,505
Blended interest rate		6.90%		6.90%		6.80%
Cash received for issuance of long term debt						$ 11,800
Cash received for issuance of long term debt, utilized during the period						11,800
Crypto assets held						$ 149,400
Secured Debt \| Term Loan 2024 \| Bitcoin
Debt Instrument [Line Items]
Crypto assets received in issuance of long-term debt (in units) \| crypto_unit						2,834
Crypto assets received for issuance of long term debt, utilized during the period (in units) \| crypto_unit						1,234
Number of crypto assets held (in units) \| crypto_unit						1,600
Secured Debt \| Term Loan 2024 \| Ether
Debt Instrument [Line Items]
Crypto assets received in issuance of long-term debt (in units) \| crypto_unit						9,000
Crypto assets received for issuance of long term debt, utilized during the period (in units) \| crypto_unit						9,000
Secured Debt \| Term Loan 2024 \| Minimum
Debt Instrument [Line Items]
Stated interest rate						4.00%	4.00%
Secured Debt \| Term Loan 2024 \| Maximum
Debt Instrument [Line Items]
Stated interest rate						16.00%	16.00%
Secured Debt \| Term Loan 2025
Debt Instrument [Line Items]
Aggregate Principal Amount								$ 200,000
Fair value of Principal Outstanding						$ 0
Amounts Drawn/Borrowed				$ 168,462
Unrealized loss				42,885
Change in fair value attributable to instrument-specific credit risk				198
Conversion of convertible notes to common stock in connection with IPO				(215,414)
Interest Expense				3,869
Interest Payable		$ 0		$ 0
Blended interest rate		7.30%		7.30%
Secured Debt \| Term Loan 2025 \| Minimum
Debt Instrument [Line Items]
Stated interest rate								4.00%
Secured Debt \| Term Loan 2025 \| Maximum
Debt Instrument [Line Items]
Stated interest rate								16.00%

Gemini Space Station, Inc. 10-Q