v3.25.4

SCHEDULE OF SEGMENT REPORTING CONSOLIDATED STATEMENTS OF OPERATIONS (Details) - USD ($)	3 Months Ended		9 Months Ended		10 Months Ended		12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2025	Sep. 30, 2024	Dec. 31, 2023		Dec. 31, 2024
Segment Reporting [Abstract]
Payroll and related taxes	$ 2,938,743	$ 6,654,718	$ 9,702,403	$ 7,727,767
Professional and consulting fees	366,559	1,393,753	704,116	2,238,744	$ 1,586,680		$ 4,455,225
Legal fees	222,953	384,270	702,615	581,835
Legal and book-keeping services					347,835		1,134,778
Personnel and related taxes					443,672		10,951,854
Insurance	122,721	166,724	414,177	220,713	12,473		355,932
Marketing and advertisement					119,363		91,319
Other	174,695	381,500	1,087,355	714,330	165,675		983,720
Total	$ 3,825,671	$ 8,980,965	$ 12,610,666	$ 11,483,389	$ 2,675,698	[1]	$ 17,972,828	[1]
[1] Includes related party amounts of $143,057 and $797,019 for the year ended December 31, 2024, and from March 16, 2023 (inception) to December 31, 2023, respectively.

X

- Definition

Legal and bookkeeping services.

+ References

No definition available.

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Namespace Prefix:	SDST_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Marketing and advertisement.

+ References

No definition available.

+ Details

Name:	SDST_MarketingAndAdvertisement
Namespace Prefix:	SDST_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Payroll and related taxes.

+ References

No definition available.

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Namespace Prefix:	SDST_
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Balance Type:	debit
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X

- Definition

Personnel and related taxes.

+ References

No definition available.

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Namespace Prefix:	SDST_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
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X

- Definition

Professional and consulting fees.

+ References

No definition available.

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Namespace Prefix:	SDST_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The aggregate total of expenses of managing and administering the affairs of an entity, including affiliates of the reporting entity, which are not directly or indirectly associated with the manufacture, sale or creation of a product or product line.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(4))
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-Publisher FASB
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Balance Type:	debit
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- Definition

Represents total insurance tax expense reflected in the income statement for each period presented.

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No definition available.

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Namespace Prefix:	us-gaap_
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Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of expense provided in the period for legal costs incurred on or before the balance sheet date pertaining to resolved, pending or threatened litigation, including arbitration and mediation proceedings.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Subparagraph (k)
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- Definition

Amount of general and administrative expense classified as other.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
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- References

No definition available.

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