Clinical research services.

No definition available.

Name:	inkt_ClinicalResearchServices
Namespace Prefix:	inkt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Percentage of computation of interest.

+ References

No definition available.

+ Details

Name:	inkt_PercentageOfComputationOfInterest
Namespace Prefix:	inkt_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage of service cost.

+ References

No definition available.

+ Details

Name:	inkt_PercentageOfServiceCost
Namespace Prefix:	inkt_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage value of common stock sold in initial public offering.

+ References

No definition available.

+ Details

Name:	inkt_PercentageValueOfCommonStockSoldInInitialPublicOffering
Namespace Prefix:	inkt_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Period for breach of payment obligations.

+ References

No definition available.

+ Details

Name:	inkt_PeriodForBreachOfPaymentObligations
Namespace Prefix:	inkt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period of license agreement.

+ References

No definition available.

+ Details

Name:	inkt_PeriodOfLicenseAgreement
Namespace Prefix:	inkt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Service agreement notice period.

+ References

No definition available.

+ Details

Name:	inkt_ServiceAgreementNoticePeriod
Namespace Prefix:	inkt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Terminate license agreement period.

+ References

No definition available.

+ Details

Name:	inkt_TerminateLicenseAgreementPeriod
Namespace Prefix:	inkt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Work order received from related party.

+ References

No definition available.

+ Details

Name:	inkt_WorkOrderReceivedFromRelatedParty
Namespace Prefix:	inkt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

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.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

A description of the related party transaction, including transactions to which no amounts or nominal amounts were ascribed and such other information deemed necessary to an understanding of the effects of the transactions on the financial statements. Examples of common related party transactions are, sales, purchases and transfers of realty and personal property, services received or furnished, loans and leases to and from top management and affiliates.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 840
-SubTopic 10
-Section 50
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=123395306&loc=d3e36975-112693

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 30
-Section 50
-Paragraph 4
-URI https://asc.fasb.org/extlink&oid=124258985&loc=SL77919370-209981

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 850
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=6457730&loc=d3e39549-107864

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 50
-Paragraph 7
-URI https://asc.fasb.org/extlink&oid=128292326&loc=SL77918703-209980

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 40
-Section 50
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=128295416&loc=SL77919784-209982

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(23))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

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

- Definition

Expenses recognized resulting from transactions (excluding transactions that are eliminated in consolidated or combined financial statements) with related party.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 850
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (c)
-URI https://asc.fasb.org/extlink&oid=6457730&loc=d3e39549-107864

+ Details

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

- 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.

+ References

No definition available.

+ Details

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

- Definition

Number of new stock issued during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

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

- Details

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

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_IncomeStatementLocationAxis=us-gaap_OperatingIncomeLossMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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

- Details

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

- Details

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

- Details

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

- Details

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

- Details

Name:	us-gaap_IncomeStatementLocationAxis=us-gaap_ResearchAndDevelopmentExpenseMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Related Party Transactions - Additional Information (Details) - USD ($)			1 Months Ended	3 Months Ended		9 Months Ended
	Apr. 12, 2022	Apr. 01, 2022	Oct. 31, 2021	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021	Feb. 28, 2021
Agenus Inc
Related Party Transaction [Line Items]
Period of license agreement						3 years
Period for breach of payment obligations						45 days
Terminate license agreement period						90 days
Related party transaction, description						The Company may terminate the New Assignment and License Agreement without cause upon 90 days’ prior written notice to Agenus. Either party may terminate if they believe there has been a material breach which has not been cured within 90 days (or 45 days for breach of payment obligations) of receiving such notice.
Percentage of computation of interest						8.00%
Percentage value of common stock sold in initial public offering				80.00%		80.00%
Initial public offering, net of offering costs, shares			5,451,958
Agenus Inc \| Maximum
Related Party Transaction [Line Items]
Increasing amount of borrowing capacity								$ 50,000,000.0
Agenus Inc \| Operating Expenses
Related Party Transaction [Line Items]
Expenses from transactions with related party				$ 328,000	$ 529,000	$ 1,700,000	$ 1,700,000
Agenus Inc \| New Intercompany Service Agreement
Related Party Transaction [Line Items]
Percentage of service cost						10.00%
Service agreement notice period		60 days
Agenus Inc \| Individual Services
Related Party Transaction [Line Items]
Service agreement notice period		30 days
Agenus Inc \| Business Services and Occupancy Costs
Related Party Transaction [Line Items]
Percentage of service cost						105.00%
Agenus Inc \| Research Services
Related Party Transaction [Line Items]
Percentage of service cost						110.00%
Atlant Clinical Ltd [Member]
Related Party Transaction [Line Items]
Expenses from transactions with related party	$ 250,000
Work order received from related party				157,000		$ 157,000
Atlant Clinical Ltd [Member] \| Research and Development
Related Party Transaction [Line Items]
Clinical research services				$ 27,400		$ 64,700