XML 61 R51.htm IDEA: XBRL DOCUMENT
v3.25.3

Stock-Based Compensation - Schedule of Award Types of Company’s Stock-Based Compensation Expense (Details) - USD ($) $ in Thousands | 3 Months Ended | 8 Months Ended | 9 Months Ended
--- | --- | --- | ---
Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2024 | Sep. 30, 2025
Schedule of Award Types of Company’s Stock-Based Compensation Expense [Line Items] |  |  |  |
Total stock-based compensation expense | $ 10,165 | $ 9,001 | $ 9,769 | $ 20,125
Paruka Warrant Obligation [Member] |  |  |  |
Schedule of Award Types of Company’s Stock-Based Compensation Expense [Line Items] |  |  |  |
Total stock-based compensation expense | 6,595 | 7,251 | 7,681 | 9,684
Employee warrants [Member] |  |  |  |
Schedule of Award Types of Company’s Stock-Based Compensation Expense [Line Items] |  |  |  |
Total stock-based compensation expense | 1,198 | 1,314 | 1,314 | 3,987
Stock options [Member] |  |  |  |
Schedule of Award Types of Company’s Stock-Based Compensation Expense [Line Items] |  |  |  |
Total stock-based compensation expense | 2,314 | 427 | 765 | 6,333
Employee stock purchase plan [Member] |  |  |  |
Schedule of Award Types of Company’s Stock-Based Compensation Expense [Line Items] |  |  |  |
Total stock-based compensation expense | $ 58 | $ 9 | $ 9 | $ 121

X
- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S45 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479983/718-10-S45-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479830/718-10-S99-1 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
Name: | us-gaap_AllocatedShareBasedCompensationExpense
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- 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/2009/role/commonPracticeRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
Name: | us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | us-gaap_IncomeStatementLocationAxis=orka_ParukaWarrantObligationMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_IncomeStatementLocationAxis=orka_EmployeeWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_IncomeStatementLocationAxis=us-gaap_StockOptionMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_IncomeStatementLocationAxis=orka_EmployeeStockPurchasePlanMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |