XML 54 R44.htm IDEA: XBRL DOCUMENT
v3.25.3

Convertible Preferred Stock and Stockholders’ Equity - Schedule of Common Stock Reserved for Future Issuance (Details) - shares | Sep. 30, 2025 | Dec. 31, 2024
--- | --- | ---
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 31,916,940 | 27,556,257
Shares issuable upon exercise of pre-funded warrants [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 7,268,873 | 6,202,207
Shares issuable upon exercise of warrant under the Paruka Warrant Obligation [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 596,930 | 596,930
Outstanding and issued employee warrants [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 3,054,358 | 3,054,358
Outstanding and Issued Stock Options [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 3,814,560 | 1,567,760
Shares issuable on conversion of Company Series B Preferred Stock [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 11,428,149 | 11,428,149
Shares available for grant under 2024 Stock Incentive Plan [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 4,753,067 | 4,246,324
Shares available for grant under 2024 Employee Stock Purchase Plan [Member] |  |
Schedule of Common Stock Reserved for Future Issuance [Line Items] |  |
Total shares of common stock reserved | 1,001,003 | 460,529

X
- Definition Aggregate number of common shares reserved for future issuance. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 + Details
Name: | us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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 No definition available. + Details
Name: | us-gaap_ConversionOfStockLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=orka_PrefundedWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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

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

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

X
- Details
Name: | us-gaap_StatementClassOfStockAxis=orka_SeriesBConvertiblePreferredStockMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_PlanNameAxis=orka_TwoThousandTwentyFourStockIncentivePlanMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_PlanNameAxis=orka_TwoThousandTwentyFourEmployeeStockPurchasePlanMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |