Name:	arrw_CommonStockSharesSubjectToForfeiture
Namespace Prefix:	arrw_
Data Type:	xbrli:sharesItemType
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Period Type:	instant

Amount of incurred paid.

No definition available.

Name:	arrw_IncurredPaid
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- References

No definition available.

Name:	arrw_InitialPrice
Namespace Prefix:	arrw_
Data Type:	dtr:perShareItemType
Balance Type:	na
Period Type:	duration

Outstanding balance.

No definition available.

Name:	arrw_OutstandingBalance
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Percentage of interest.

No definition available.

Name:	arrw_PercentageOfInterest
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Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	instant

Founder shares as a percentage of the Company's issued and outstanding shares after the Initial Public Offering.

No definition available.

Name:	arrw_PercentageOfIssuedAndOutstandingSharesAfterInitialPublicOffering
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Data Type:	dtr:percentItemType
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Period Type:	instant

Amount of principal amount.

No definition available.

Name:	arrw_PrincipalAmount
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The amount that Sponsor must fund the promissory note pursuant to the terms of the Third Promissory Note.

No definition available.

Name:	arrw_PromissoryAmountToBeFunded
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The amount of promissory note.

No definition available.

Name:	arrw_PromissoryNote
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Data Type:	xbrli:monetaryItemType
Balance Type:	na
Period Type:	duration

The amount of aggregate deposit pursuant to the terms of the Third Promissory Note.

No definition available.

Name:	arrw_PromissoryNoteAggregateAmountOfDeposit
Namespace Prefix:	arrw_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

The per share amount of aggregate deposit pursuant to the terms of the Third Promissory Note.

No definition available.

Name:	arrw_PromissoryNoteAggregatePerShareAmountOfDeposit
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Data Type:	dtr:perShareItemType
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Period Type:	instant

The per share amount that Sponsor must fund the promissory note for each public share that is not redeemed pursuant to the terms of the Third Promissory Note.

No definition available.

Name:	arrw_PromissoryNotePerShareAmountToBeFunded
Namespace Prefix:	arrw_
Data Type:	dtr:perShareItemType
Balance Type:	na
Period Type:	instant

The amount of Redemption Price Per Share

No definition available.

Name:	arrw_RedemptionPricePerShare
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Data Type:	dtr:perShareItemType
Balance Type:	na
Period Type:	duration

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

No definition available.

Name:	arrw_RelatedPartyLineOfCreditFacilityMaximumBorrowingCapacity
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

No definition available.

Name:	arrw_RelatedPartyLineOfCreditFacilityRemainingBorrowingCapacity
Namespace Prefix:	arrw_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Amount of Working Capital Loans that may be convertible into warrants of the post Business Combination entity at the lenders' discretion.

No definition available.

Name:	arrw_RelatedPartyTransactionLoansThatCanBeConvertedIntoWarrants
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- References

No definition available.

Name:	arrw_RelatedPartyTransactionsDetailsLineItems
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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

The amount of shares trade

No definition available.

Name:	arrw_SharesTrade
Namespace Prefix:	arrw_
Data Type:	dtr:perShareItemType
Balance Type:	na
Period Type:	duration

For an unclassified balance sheet, the amount of fees and other revenue, excluding investment income receivable, earned but not yet received, which were recognized in conformity with revenue recognition criteria based on estimates or specific contractual terms.

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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-Name Accounting Standards Codification
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-Subparagraph (SX 210.5-02(3)(a)(4))
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Name:	us-gaap_AccruedFeesAndOtherRevenueReceivable
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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities.

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

The price per share of the conversion feature embedded in the debt instrument.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 470
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-Name Accounting Standards Codification
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Period Type:	instant

Number of excess stock shares of an entity that have been sold or granted to shareholders.

No definition available.

Name:	us-gaap_ExcessStockSharesIssued
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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

Number of shares of excess stock held by shareholders.

No definition available.

Name:	us-gaap_ExcessStockSharesOutstanding
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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

The maximum number of shares that could be issued to net share settle a contract, if applicable. If a contract does not have a fixed or determinable maximum number of shares that may be required to be issued, disclose the fact that a potentially infinite number of shares could be issued to settle the contract.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Amount of expense for shareholder services. Includes, but is not limited to, fee and expense for transfer and dividend disbursing agent.

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Amount of cash outflow for fees classified as other.

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The cash inflow from the additional capital contribution to the entity.

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-Subparagraph (a)
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The cash inflow from a long-term borrowing made from related parties where one party can exercise control or significant influence over another party; including affiliates, owners or officers and their immediate families, pension trusts, and so forth. Alternate caption: Proceeds from Advances from Affiliates.

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-Subparagraph (b)
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Name:	us-gaap_ProceedsFromRelatedPartyDebt
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

Amount of purchase arrangement to be paid in third fiscal year following current fiscal year. Includes, but is not limited to, recorded and unrecorded purchase obligations, long-term purchase commitment, and short-term purchase commitment. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

No definition available.

Name:	us-gaap_PurchaseObligationDueInThirdYear
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Data Type:	xbrli:monetaryItemType
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Amount of transactions with related party during the financial reporting period.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 850
-SubTopic 10
-Name Accounting Standards Codification
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-Paragraph 1
-Subparagraph (c)
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Data Type:	xbrli:monetaryItemType
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The cash outflow for the payment of a long-term borrowing made from a related party where one party can exercise control or significant influence over another party; including affiliates, owners or officers and their immediate families, pension trusts, and so forth. Alternate caption: Payments for Advances from Affiliates.

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-Topic 230
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-Section 45
-Paragraph 15
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-URI https://asc.fasb.org//1943274/2147482740/230-10-45-15

Name:	us-gaap_RepaymentsOfRelatedPartyDebt
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

Per share amount received by subsidiary or equity investee for each share of common stock issued or sold in the stock transaction.

No definition available.

Name:	us-gaap_SaleOfStockPricePerShare
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

Price of a single share of a number of saleable stocks of a company.

No definition available.

Name:	us-gaap_SharePrice
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

Number of shares issued in lieu of cash for services contributed to the entity. Number of shares includes, but is not limited to, shares issued for services contributed by vendors and founders.

No definition available.

Name:	us-gaap_StockIssuedDuringPeriodSharesIssuedForServices
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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

Number of shares of stock issued during the period as part of a transaction to acquire assets that do not qualify as a business combination.

No definition available.

Name:	us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

Name:	us-gaap_SubsidiarySaleOfStockAxis=arrw_ForwardPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassBMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	srt_TitleOfIndividualAxis=arrw_Director3Member
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	srt_TitleOfIndividualAxis=arrw_Director2Member
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	srt_TitleOfIndividualAxis=arrw_Director1Member
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_TypeOfArrangementAxis=arrw_MergerAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	us-gaap_RelatedPartyTransactionAxis=arrw_AdministrativeSupportAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	us-gaap_RelatedPartyTransactionAxis=arrw_ConvertiblePromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	us-gaap_RelatedPartyTransactionAxis=arrw_WorkingCapitalLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionAxis=arrw_IPOPromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionAxis=arrw_ThirdPromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionAxis=arrw_FourthPromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionAxis=arrw_FirstPromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_InvestorMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionAxis=arrw_SecondPromissoryNoteMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_FinancialInstrumentAxis=arrw_RelatedPartyLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=arrw_FounderShareMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassAMember
Namespace Prefix:
Data Type:	na
Balance Type:
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Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=arrw_SponsorMember
Namespace Prefix:
Data Type:	na
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