XML 62 R55.htm IDEA: XBRL DOCUMENT
v3.25.2

Warrants and Options - Summary of Key Terms and Activity of Liability Classified Preferred Investment Options (Detail) - $ / shares | 6 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 30, 2025 | Dec. 31, 2024
March 2023 Options - Series A [Member] |  |
Option Indexed to Issuer's Equity [Line Items] |  |
Issuance Date | 2023-03 |
Term | 5 years |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 666,334 | 666,334
March 2023 Placement Agent Options [Member] |  |
Option Indexed to Issuer's Equity [Line Items] |  |
Issuance Date | 2023-03 |
Term | 5 years |
Exercise Price Per Share | $ 11.25 |
Exercised during the period | 0 | 0
Outstanding | 33,317 | 33,317
August 2022 Options [Member] |  |
Option Indexed to Issuer's Equity [Line Items] |  |
Issuance Date | 2022-08 |
Term | 5 years |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 118,063 | 118,063
August 2022 Placement Agent Options [Member] |  |
Option Indexed to Issuer's Equity [Line Items] |  |
Issuance Date | 2022-08 |
Term | 5 years |
Exercise Price Per Share | $ 52.8 |
Exercised during the period | 0 | 0
Outstanding | 5,904 | 5,904
March 2023, August 2022 Options and Placement Agent Options [Member] |  |
Option Indexed to Issuer's Equity [Line Items] |  |
Exercised during the period | 0 | 0
Outstanding | 823,618 | 823,618

X
- Definition Preferred investment options liability exercise price per share. + References No definition available. + Details
Name: | rkda_PreferredInvestmentOptionsLiabilityExercisePricePerShare
Namespace Prefix: | rkda_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | instant

X
- Definition Preferred investment options liability issuance month and year + References No definition available. + Details
Name: | rkda_PreferredInvestmentOptionsLiabilityIssuanceMonthAndYear
Namespace Prefix: | rkda_
Data Type: | xbrli:gYearMonthItemType
Balance Type: | na
Period Type: | duration

X
- Definition Preferred investment options liability outstanding. + References No definition available. + Details
Name: | rkda_PreferredInvestmentOptionsLiabilityOutstanding
Namespace Prefix: | rkda_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition Preferred investment options liability term. + References No definition available. + Details
Name: | rkda_PreferredInvestmentOptionsLiabilityTerm
Namespace Prefix: | rkda_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

X
- Definition Stock issued during period shares related to exercise of options. + References No definition available. + Details
Name: | rkda_StockIssuedDuringPeriodSharesRelatedToExerciseOfOptions
Namespace Prefix: | rkda_
Data Type: | xbrli:sharesItemType
Balance Type: | na
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 No definition available. + Details
Name: | us-gaap_OptionIndexedToIssuersEquityLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | us-gaap_SubsidiarySaleOfStockAxis=rkda_MarchTwoThousandTwentyThreeOptionsSeriesAMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_SubsidiarySaleOfStockAxis=rkda_MarchTwoThousandTwentyThreePlacementAgentOptionsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_SubsidiarySaleOfStockAxis=rkda_AugustTwoThousandTwentyTwoOptionsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_SubsidiarySaleOfStockAxis=rkda_AugustTwoThousandTwentyTwoPlacementAgentOptionsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_SubsidiarySaleOfStockAxis=rkda_March2023AndAugust2022OptionsAndPlacementAgentOptionsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |