Non-refundable milestone payments.

No definition available.

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Namespace Prefix:	orka_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Royalty payable on product sales, description.

+ References

No definition available.

+ Details

Name:	orka_RoyaltyPayableOnProductSales
Namespace Prefix:	orka_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of obligations incurred classified as other, payable within one year or the normal operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 8
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480657/210-10-S50-8

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
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-Publisher FASB
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+ Details

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Balance Type:	credit
Period Type:	instant

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
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-Publisher FASB
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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
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-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

+ Details

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

- Definition

Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- 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

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 808
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (d)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479402/808-10-50-1

+ Details

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

- Definition

Amount of expense classified as other.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 55
-Paragraph 14
-Publisher FASB
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Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
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-Section S99
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-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

+ Details

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

Option Agreements and License Agreements (Details) - USD ($) $ / shares in Units, $ in Millions			1 Months Ended	3 Months Ended
	Mar. 31, 2026	Dec. 31, 2025	Dec. 31, 2025	Mar. 31, 2026	Mar. 31, 2025	Dec. 12, 2025	Dec. 31, 2024
Paragon Therapeutics [Member] \| Related Party [Member]
Option Agreements and License Agreements [Line Items]
Accounts payable and other current liabilities	$ 3.0			$ 3.0
Paragon and Paruka [Member]
Option Agreements and License Agreements [Line Items]
Recognized expenses				$ 3.0	$ 1.5
Option Agreement [Member] \| Paragon [Member] \| Antibody Products [Member]
Option Agreements and License Agreements [Line Items]
Royalty payable on product sales, description				low single-digit percentage royalty for antibody products
Option Agreement [Member] \| Paruka [Member] \| Common Stock [Member]
Option Agreements and License Agreements [Line Items]
Warrants to purchase shares (in Shares)						375,000	596,930
Exercise price per share (in Dollars per share)						$ 30.18	$ 19.39
ORKA-001 [Member] \| Paragon [Member]
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments				$ 3.0
ORKA-001 [Member] \| Paragon [Member] \| Location, Statement of Income, Balance [Axis]: us-gaap:ResearchAndDevelopmentExpense
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments		7.0
ORKA-001 [Member] \| Paragon [Member] \| ORKA-002 [Member]
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments	$ 7.0
ORKA-002 [Member] \| Paragon [Member] \| Location, Statement of Income, Balance [Axis]: us-gaap:ResearchAndDevelopmentExpense
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments		$ 4.0
Maximum [Member] \| Paragon [Member] \| Clinical Development Milestones [Member]
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments			12.0	12.0
Maximum [Member] \| Paragon [Member] \| Regulatory Milestones Member [Member]
Option Agreements and License Agreements [Line Items]
Non-refundable milestone payments			$ 10.0	$ 10.0