Gain (Loss) On Change In Fair Value Of Related Party Convertible Debt

No definition available.

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Namespace Prefix:	gemi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Gain (Loss) On Debt Instruments, Instrument Specific Credit Risk

+ References

No definition available.

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Namespace Prefix:	gemi_
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Period Type:	duration

- Definition

Interest Payable, Current, Fair Value Adjustment

+ References

No definition available.

+ Details

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- Definition

Interest Payable, Current, Fair Value Adjustment For Instrument-Specific Credit Risk

+ References

No definition available.

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- Definition

Interest Payable, Current, Fair Value Adjustment For Unrealized Losses

+ References

No definition available.

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- Definition

Proceeds From Convertible Debt, Crypto Currency Received

+ References

No definition available.

+ Details

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- Definition

Fair value of crypto asset. Excludes crypto asset held for platform user.

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- Definition

The value of the financial instrument(s) that the original debt is being converted into in a noncash (or part noncash) transaction. "Part noncash" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period.

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- Definition

Face (par) amount of debt instrument at time of issuance.

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- Definition

Effective interest rate for the funds borrowed under the debt agreement considering interest compounding and original issue discount or premium.

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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- Definition

Amount of the cost of borrowed funds accounted for as interest expense for debt.

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- Definition

Carrying value as of the balance sheet date of [accrued] interest payable on all forms of debt, including trade payables, that has been incurred and is unpaid. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

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The fair value amount of long-term debt whether such amount is presented as a separate caption or as a parenthetical disclosure. Additionally, this element may be used in connection with the fair value disclosures required in the footnote disclosures to the financial statements. The element may be used in both the balance sheet and disclosure in the same submission.

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The cash inflow from the issuance of a long-term debt instrument which can be exchanged for a specified amount of another security, typically the entity's common stock, at the option of the issuer or the holder.

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Related Party Loans and Convertible Notes - Schedule of Convertible Notes (Details) $ in Thousands				1 Months Ended				2 Months Ended			3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 11, 2025 USD ($)	Mar. 01, 2024 USD ($) crypto_unit	Nov. 30, 2023 USD ($)	Mar. 31, 2024 USD ($)	Dec. 31, 2023 USD ($)	Oct. 31, 2023 USD ($)	Sep. 30, 2023 USD ($)	Feb. 29, 2024 USD ($)	Feb. 29, 2024 USD ($)	Oct. 31, 2023 USD ($)	Sep. 30, 2025 USD ($)	Sep. 30, 2024 USD ($)	Sep. 30, 2025 USD ($)	Sep. 30, 2024 USD ($)	Dec. 31, 2024 USD ($)	Dec. 27, 2023 USD ($)	Nov. 22, 2023 USD ($)	Sep. 15, 2023 USD ($)
Debt Instrument [Line Items]
Amount Drawn													$ 0	$ 24,568
Unrealized Loss											$ 8,178	$ 9,775	25,789	23,296
Conversion of convertible notes to common stock in connection with IPO													(804,297)	0
Crypto assets held:					$ 327,866						674,963		674,963		$ 470,101
Bitcoin
Debt Instrument [Line Items]
Crypto assets held:					295,320						604,746		604,746		412,115
Convertible Notes
Debt Instrument [Line Items]
Aggregate Principal Amount	$ 228,000										200,000		200,000		200,000
Fair value of Principal Outstanding					133,577							$ 237,000		$ 237,000	230,567
Amount Drawn													0		69,897
Unrealized Loss													25,789		30,663
Change in fair value attributable to instrument-specific credit risk													(875)		(1,906)
Conversion of convertible notes to common stock in connection with IPO	$ (285,000)												(285,007)
Interest Expense													11,310		15,200
Interest Payable											$ 0		$ 0		$ 18,216
Effective interest rate											8.00%		8.00%		8.00%
Interest payable, fair value adjustments															$ 1,600
Interest payable, fair value adjustments related to unrealized losses															1,700
Interest payable, fair value adjustments related to instrument-specific credit risk gain															100
Convertible Notes \| September Note (USD)
Debt Instrument [Line Items]
Aggregate Principal Amount																		$ 50,000
Fair value of Principal Outstanding					51,335										57,641
Amount Drawn						$ 21,500	$ 28,500			$ 50,000			$ 0		0
Unrealized Loss													6,581		7,101
Change in fair value attributable to instrument-specific credit risk													(223)		(243)
Conversion of convertible notes to common stock in connection with IPO													(72,279)
Interest Expense													2,827		4,000
Interest Payable											$ 0		0		5,450
Convertible Notes \| November Note (BTC)
Debt Instrument [Line Items]
Aggregate Principal Amount																	$ 54,671
Fair value of Principal Outstanding					56,131										63,027
Amount Drawn			$ 54,700										0		0
Unrealized Loss													7,097		7,647
Change in fair value attributable to instrument-specific credit risk													(240)		(263)
Conversion of convertible notes to common stock in connection with IPO													(78,269)
Interest Expense													3,093		4,374
Interest Payable											0		0		5,295
Convertible Notes \| December Note (USD)
Debt Instrument [Line Items]
Aggregate Principal Amount																$ 50,000
Fair value of Principal Outstanding					26,111										57,642
Amount Drawn					25,400			$ 24,600	$ 50,000				0		24,568
Unrealized Loss													6,389		7,821
Change in fair value attributable to instrument-specific credit risk													(217)		(510)
Conversion of convertible notes to common stock in connection with IPO													(70,804)
Interest Expense													2,827		3,794
Interest Payable											0		0		4,163
Convertible Notes \| March Note (BTC)
Debt Instrument [Line Items]
Aggregate Principal Amount		$ 45,329
Fair value of Principal Outstanding					$ 0										52,257
Amount Drawn				$ 45,300									0		45,329
Unrealized Loss													5,722		8,094
Change in fair value attributable to instrument-specific credit risk													(195)		(890)
Conversion of convertible notes to common stock in connection with IPO													(63,655)
Interest Expense													2,563		3,032
Interest Payable											$ 0		$ 0		3,308
Convertible Notes \| March Note (BTC) \| Bitcoin
Debt Instrument [Line Items]
Crypto currency received as draw down on convertible notes (in units) \| crypto_unit		734
Crypto assets held:															$ 68,600