0001213900-21-059488 | 10-Q | XBRL Viewer | Archimedes Tech Spac Partners Co

Private Placement (Details) - USD ($)		1 Months Ended	9 Months Ended
Mar. 15, 2021	Mar. 19, 2021	Sep. 30, 2021
Private Placement (Details) [Line Items]
Purchased aggregate shares			390,000
Generating gross proceeds	$ 120,000,000	$ 260,000	$ 3,900,000
Additional shares of private units		26,000

Recurring Fair Value Measurements (Details) - Schedule of changes in the fair value warrant liability	9 Months Ended
	Sep. 30, 2021 USD ($)
Schedule of changes in the fair value warrant liability [Abstract]
Initial fair value of warrant liability upon issuance at IPO	$ 270,307

Summary of Significant Accounting Policies (Details) - Schedule of earnings per share - USD ($)	3 Months Ended	9 Months Ended
	Sep. 30, 2021	Sep. 30, 2021
Numerator:
Allocation of net loss including accretion of temporary equity	$ (46,332)	$ (3,391,505)
Accretion of temporary equity to redemption value
Allocation of net income (loss)	$ (46,332)	$ (3,391,505)

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Notes Details Summary of Significant Accounting Policies (Details) - Schedule of earnings per share Private Placement (Details) Recurring Fair Value Measurements (Details) - Schedule of changes in the fair value warrant liability Uncategorized Uncategorized Items - f10q0921_archimedestech_htm.xml All Reports

Label	Element	Value
SaleOfOverallotmentShares	atspu_SaleOfOverallotmentShares	1,300,000
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	$ (3,878)
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	(3,878)
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	(3,352)
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	(3,352)
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain
SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptionUnderAgain
StockIssuedDuringSaleOfInitialPublicOffering	atspu_StockIssuedDuringSaleOfInitialPublicOffering	1,200
StockIssuedDuringSaleOfInitialPublicOffering	atspu_StockIssuedDuringSaleOfInitialPublicOffering	119,998,800
StockIssuedDuringSaleOfInitialPublicOffering	atspu_StockIssuedDuringSaleOfInitialPublicOffering	120,000,000
StockIssuedDuringSaleOfInitialPublicOffering	atspu_StockIssuedDuringSaleOfInitialPublicOffering
BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIndefiniteLivedIntangibleAsset	atspu_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIndefiniteLivedIntangibleAsset	$ 5,000,001
BusinessCombinationDescription	atspu_BusinessCombinationDescription	A public stockholder will be entitled to receive funds from the Trust Account (including interest earned on his, her or its portion of the Trust Account to the extent not previously released to the Company) only in the event of (i) the redemption of 100% of the outstanding Public Subunits if the Company has not completed a Business Combination in the required time period, (ii) if that public stockholder converts such Public Subunits, or sells such Public Subunits to the Company in a tender offer, in connection with a Business Combination which the Company consummates or (iii) the Company seeks to amend any provisions of its amended and restated certificate of incorporation that would affect the public stockholders’ ability to convert or sell their Public Subunits to the Company in connection with a Business Combination or affect the substance or timing of the Company’s obligation to redeem 100% of the Public Subunits if the Company does not complete a Business Combination within the Combination Period.
PaymentOfSponsor	atspu_PaymentOfSponsor	$ 25,000
WorkingCapitalDeficit	atspu_WorkingCapitalDeficit	$ 628,652
ForfeitedOfFounderShares	atspu_ForfeitedOfFounderShares	125,000
FounderSharesDescription	atspu_FounderSharesDescription	Subject to certain limited exceptions, these shares will not be transferred, assigned, sold or released from escrow (subject to certain limited exceptions) for a period ending on (1) with respect to 50% of the founder shares, the earlier of one year after the date of the consummation of the Company’s initial Business Combination and the date on which the closing price of the Company’s shares of common stock equals or exceeds $12.50 per share (as adjusted for share splits, share capitalizations, reorganizations and recapitalizations) for any 20 trading days within any 30-trading day period commencing after Company’s initial Business Combination and (2) with respect to the remaining 50% of the founder shares, one year after the date of Company’s consummation of the initial Business Combination, or earlier, in either case, if, subsequent to the initial Business Combination, the Company consummates a liquidation, merger, stock exchange or other similar transaction which results in all of the stockholders having the right to exchange their shares of common stock for cash, securities or other property.
StockIssuedDuringSaleOfOverAllotmentShares	atspu_StockIssuedDuringSaleOfOverAllotmentShares	1,300,000
StockIssuedDuringSaleOfOverAllotment	atspu_StockIssuedDuringSaleOfOverAllotment	$ 130
StockIssuedDuringSaleOfOverAllotment	atspu_StockIssuedDuringSaleOfOverAllotment	12,999,870
StockIssuedDuringSaleOfOverAllotment	atspu_StockIssuedDuringSaleOfOverAllotment	13,000,000
StockIssuedDuringSaleOfOverAllotment	atspu_StockIssuedDuringSaleOfOverAllotment
PaymentOfUnderwritingFees	atspu_PaymentOfUnderwritingFees	2,660,000
PaymentOfUnderwritingFees	atspu_PaymentOfUnderwritingFees
ShareOfCommonStockSubjectToPossibleRedemption	atspu_ShareOfCommonStockSubjectToPossibleRedemption	13,300,000
ClassOfWarrantDescription	atspu_ClassOfWarrantDescription	Each whole warrant entitles the holder to purchase one common stock at a price of $11.50 per share, subject to adjustment as discussed below, at any time commencing 30 days after the completion of an initial Business Combination. The warrants will expire on the fifth anniversary of the completion of an initial Business Combination, at 5:00 p.m., New York City time, or earlier upon redemption or liquidation. However, no warrants will be exercisable for cash unless the Company has an effective and current registration statement covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to such shares of common stock. Notwithstanding the foregoing, if a registration statement covering the shares of common stock issuable upon exercise of the Public Warrants is not effective within 90 days following the consummation of the initial Business Combination, warrant holders may, until such time as there is an effective registration statement and during any period when the Company shall have failed to maintain an effective registration statement, exercise warrants on a cashless basis pursuant to the exemption provided by Section 3(a)(9) of the Securities Act, provided that such exemption is available. If that exemption, or another exemption, is not available, holders will not be able to exercise their warrants on a cashless basis. In such event, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value”(defined below) by (y) the fair market value. The “fair market value” for this purpose will mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the trading day prior to the date of exercise.
SaleOfPrivatePlacementShares	atspu_SaleOfPrivatePlacementShares	416,000
StockIssuedDuringSaleOfPrivatePlacementShares	atspu_StockIssuedDuringSaleOfPrivatePlacementShares	416,000
StockIssuedDuringSaleOfPrivatePlacement	atspu_StockIssuedDuringSaleOfPrivatePlacement	$ 42
StockIssuedDuringSaleOfPrivatePlacement	atspu_StockIssuedDuringSaleOfPrivatePlacement	4,159,958
StockIssuedDuringSaleOfPrivatePlacement	atspu_StockIssuedDuringSaleOfPrivatePlacement	4,160,000
StockIssuedDuringSaleOfPrivatePlacement	atspu_StockIssuedDuringSaleOfPrivatePlacement
PromissoryNote	atspu_PromissoryNote	$ 125,000
BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	atspu_BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	2,059,408
BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	atspu_BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	247,259
BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	atspu_BasicAndDilutedWeightedAverageSharesOutstandingCommonStockSubjectToRedemption	2,306,667
CompanyRecorded	atspu_CompanyRecorded	$ 30,000
CompanyRecorded	atspu_CompanyRecorded	67,097
ChangeInValueOfCommonStockSubjectToPossibleRedemption	atspu_ChangeInValueOfCommonStockSubjectToPossibleRedemption	124,413,913
DeferredOfferingCostsIncludedInAccruedOfferingCostsAndExpenses	atspu_DeferredOfferingCostsIncludedInAccruedOfferingCostsAndExpenses	(2,886,166)
SubsequentMeasurementOfCommonStockSubjectToRedemption	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemption	11,472,253
SubsequentMeasurementOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	atspu_SubsequentMeasurementOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	7,230
UnderwritingDiscounts	atspu_UnderwritingDiscounts	2,400,000
InitialClassificationOfWarrantLiability	atspu_InitialClassificationOfWarrantLiability	270,307
StockIssuedDuringUnderwritingFee	atspu_StockIssuedDuringUnderwritingFee	(2,660,000)
StockIssuedDuringUnderwritingFee	atspu_StockIssuedDuringUnderwritingFee	(2,660,000)
StockIssuedDuringUnderwritingFee	atspu_StockIssuedDuringUnderwritingFee
StockIssuedDuringUnderwritingFee	atspu_StockIssuedDuringUnderwritingFee
AggregateOfFounderSharesOutstanding	atspu_AggregateOfFounderSharesOutstanding	3,450,000
SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	atspu_SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	$ (1,330)
SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	atspu_SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	(124,412,583)
SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	atspu_SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	(124,413,913)
SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S	atspu_SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderASC48010S
StockIssuedDuringInitialClassificationOfWarrantLiability	atspu_StockIssuedDuringInitialClassificationOfWarrantLiability	(270,307)
StockIssuedDuringInitialClassificationOfWarrantLiability	atspu_StockIssuedDuringInitialClassificationOfWarrantLiability	(270,307)
StockIssuedDuringInitialClassificationOfWarrantLiability	atspu_StockIssuedDuringInitialClassificationOfWarrantLiability
StockIssuedDuringInitialClassificationOfWarrantLiability	atspu_StockIssuedDuringInitialClassificationOfWarrantLiability
InitialValueOfCommonStockSubjectToPossibleRedemptions	atspu_InitialValueOfCommonStockSubjectToPossibleRedemptions	115,841,700
InitialValueOfCommonStockSubjectToPossibleRedemptions	atspu_InitialValueOfCommonStockSubjectToPossibleRedemptions	8,572,213
InitialValueOfCommonStockSubjectToPossibleRedemptions	atspu_InitialValueOfCommonStockSubjectToPossibleRedemptions	124,413,913
StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	atspu_StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	$ 2,886,166
StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	atspu_StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	2,886,166
StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	atspu_StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares
StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares	atspu_StockIssuedDuringPeriodValueReclassificationOfOfferingCostsRelatedToPublicShares
ChangeInValueOfCommonStockSubjectToPossibleRedemptions	atspu_ChangeInValueOfCommonStockSubjectToPossibleRedemptions	12,902,890
ChangeInValueOfCommonStockSubjectToPossibleRedemptions	atspu_ChangeInValueOfCommonStockSubjectToPossibleRedemptions	(12,902,365)
ChangeInValueOfCommonStockSubjectToPossibleRedemptions	atspu_ChangeInValueOfCommonStockSubjectToPossibleRedemptions
ReclassificationOfOfferingCostsRelatedToPublicShare	atspu_ReclassificationOfOfferingCostsRelatedToPublicShare	(2,886,166)
ReclassificationOfOfferingCostsRelatedToPublicShare	atspu_ReclassificationOfOfferingCostsRelatedToPublicShare	(2,886,166)
ReclassificationOfOfferingCostsRelatedToPublicShare	atspu_ReclassificationOfOfferingCostsRelatedToPublicShare
SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderShares	atspu_SubsequentMeasurementOfCommonStockSubjectToPossibleRedemptionUnderShares	(13,300,000)
SubsequentMeasurementsOfCommonStockSubjectToRedemption	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemption	$ 11,472,253
SubsequentMeasurementsOfCommonStockSubjectToRedemption	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemption	11,472,253
SubsequentMeasurementsOfCommonStockSubjectToRedemption	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemption
FounderShares	atspu_FounderShares	325,000
SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	$ 525
SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	525
SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco	atspu_SubsequentMeasurementsOfCommonStockSubjectToRedemptioninterestEarnedOnTrustAcco
TransactionCostsAmounted	atspu_TransactionCostsAmounted	2,825,347
UnderwritingDiscount	atspu_UnderwritingDiscount	2,400,000
OtherOfferingCosts	atspu_OtherOfferingCosts	425,347
CashUnderwritingFees	atspu_CashUnderwritingFees	$ 260,000
SaleOfAdditionalShares	atspu_SaleOfAdditionalShares	26,000
StockIssuedDuringSaleOfInitialPublicOfferingShares	atspu_StockIssuedDuringSaleOfInitialPublicOfferingShares	12,000,000
CommonStockSubjectToPossibleRedemption	atspu_CommonStockSubjectToPossibleRedemption	13,300,000
CommonStockSubjectToPossibleRedemption	atspu_CommonStockSubjectToPossibleRedemption	0
BusinessCombinationLegalServicesAgreement	atspu_BusinessCombinationLegalServicesAgreement	the Company is required to pay a total of $250,000 in retainer fees to Loeb for services related to the initial Business Combination upon the completion of certain milestones. The balance of any additional legal fees incurred related to the initial Business Combination will be due at the closing of the SPAC Merger. As of September 30, 2021, the Company had paid a total of $50,000 of retainer fees to Loeb.