v3.25.4

Subsequent Events (Details)	Dec. 15, 2025 USD ($) $ / shares shares	Dec. 11, 2025 USD ($)	Dec. 10, 2025 director shares	Jul. 16, 2025 $ / shares
Administrative Services Agreement \| Affiliate of sponsor
Subsequent Events
Monthly expenses		$ 12,500
Class B common stock \| Founder shares \| Sponsor
Subsequent Events
Price per unit issued \| $ / shares				$ 0.003
Subsequent event
Subsequent Events
Price per unit issued \| $ / shares	$ 10
Gross proceeds from issuance of IPO	$ 230,000,000
Assets held in trust	230,000,000
Cash underwriting fee	4,000,000
Deferred underwriting fee	9,800,000
Subsequent event \| Sponsor \| Unsecured promissory note
Subsequent Events
Outstanding borrowing paid	$ 177,659
Subsequent event \| Administrative Services Agreement \| Affiliate of sponsor
Subsequent Events
Monthly expenses		$ 12,500
Subsequent event \| Class B common stock \| Founder shares \| Sponsor
Subsequent Events
Total number of shares transferred \| shares			45,000
Number Of Independent Directors \| director			3
Number Of Shares Transferred To Each Independent Directors \| shares			15,000
Subsequent event \| Over allotment
Subsequent Events
Number of units issued \| shares	3,000,000
Price per unit issued \| $ / shares	$ 10
Subsequent event \| IPO and over allotment
Subsequent Events
Number of units issued \| shares	23,000,000
Price per unit issued \| $ / shares	$ 10
Gross proceeds from issuance of IPO	$ 230,000,000
Subsequent event \| Private placement \| Private placement warrants
Subsequent Events
Number of warrants issued \| shares	5,500,000
Price per warrant issued \| $ / shares	$ 1
Gross proceeds from warrants issuance	$ 5,500,000
Subsequent event \| Private placement \| Private placement warrants \| Cantor Fitzgerald & Co
Subsequent Events
Number of warrants issued \| shares	2,000,000
Subsequent event \| Private placement \| Sponsor \| Private placement warrants
Subsequent Events
Number of warrants issued \| shares	3,500,000

Number of shares transferred during the period.

+ References

No definition available.

+ Details

Name:	itha_AggregateNumberOfSharesTransferred
Namespace Prefix:	itha_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of cash underwriting fees incurred during the period.

+ References

No definition available.

+ Details

Name:	itha_CashUnderwritingFee
Namespace Prefix:	itha_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Price of a single warrant or right issued during the period.

+ References

No definition available.

+ Details

Name:	itha_ClassOfWarrantOrRightIssuePricePerWarrantsOrRights
Namespace Prefix:	itha_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of warrants or rights issued during the period.

+ References

No definition available.

+ Details

Name:	itha_ClassOfWarrantOrRightNumberOfWarrantsOrRightsIssued
Namespace Prefix:	itha_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of underwriting fee payable as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	itha_DeferredUnderwritingFee
Namespace Prefix:	itha_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Number of independent directors to whom shares were assigned and transferred for the services rendered by them.

+ References

No definition available.

+ Details

Name:	itha_NumberOfIndependentDirectors
Namespace Prefix:	itha_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of shares transferred to each of the independent directors during the period.

+ References

No definition available.

+ Details

Name:	itha_NumberOfSharesTransferredToEachIndependentDirectors
Namespace Prefix:	itha_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of monthly administrative expenses agreed with the related party under the agreement.

+ References

No definition available.

+ Details

Name:	itha_RelatedPartyTransactionMonthlyAdministrativeExpenses
Namespace Prefix:	itha_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Number of new units issued during the period.

+ References

No definition available.

+ Details

Name:	itha_StockIssuedDuringPeriodUnitsNewIssues
Namespace Prefix:	itha_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

The total amount of cash and securities held by third party trustees pursuant to terms of debt instruments or other agreements as of the date of each statement of financial position presented, which can be used by the trustee only to pay the noncurrent portion of specified obligations.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480738/235-10-S50-1

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

+ Details

Name:	us-gaap_AssetsHeldInTrust
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

The cash inflow associated with the amount received from entity's raising of capital via private rather than public placement.

+ References

+ Details

Name:	us-gaap_ProceedsFromIssuanceOfPrivatePlacement
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash inflow from the issuance of common stock, preferred stock, treasury stock, stock options, and other types of equity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 14
-Subparagraph (a)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-14

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-03(i)(1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479886/946-10-S99-3

+ Details

Name:	us-gaap_ProceedsFromIssuanceOrSaleOfEquity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash outflow for a borrowing supported by a written promise to pay an obligation.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 15
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-15

+ Details

Name:	us-gaap_RepaymentsOfNotesPayable
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Per share or per unit amount of equity securities issued.

+ References

No definition available.

+ Details

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

- Definition

Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 830
-SubTopic 30
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481674/830-30-50-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 855
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483399/855-10-50-2

+ Details

Name:	us-gaap_SubsequentEventLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Details

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

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=itha_AffiliateOfSponsorMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassBMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=itha_SponsorMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ShortTermDebtTypeAxis=us-gaap_CommercialPaperMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_OverAllotmentOptionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=itha_InitialPublicOfferingAndOverAllotmentOptionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_PrivatePlacementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=itha_PrivatePlacementWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_CounterpartyNameAxis=itha_CantorFitzgeraldAndCoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

ITHAX Acquisition Corp III 10-Q