XML 62 R55.htm IDEA: XBRL DOCUMENT
v3.25.3

Warrants and Options - Summary of Warrants Issued to Purchase Common Stock (Detail) - $ / shares | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2025 | Dec. 31, 2024
Class Of Warrant Or Right [Line Items] |  |
Exercised during the period | 0 | (75,000)
Outstanding | 195,885 | 259,817
March 2023 Pre-Funded Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2023-03 |
Exercise Price Per Share | $ 0 |
Exercised during the period | 0 | (75,000)
Outstanding | 0 | 0
December 2022 Service and Performance Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2022-12 |
Term | 5 years |
Exercise Price Per Share | $ 11.2 |
Exercised during the period | 0 | 0
Outstanding | 1,000 | 1,000
October 2022 Service and Performance Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2022-10 |
Term | 5 years |
Exercise Price Per Share | $ 16 |
Exercised during the period | 0 | 0
Outstanding | 1,000 | 1,000
January 2021 Placement Agent Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2021-01 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 159.60 |
Exercised during the period | 0 | 0
Outstanding | 9,846 | 9,846
December 2020 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-12 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 16,367 | 16,367
December 2020 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-12 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 120.00 |
Exercised during the period | 0 | 0
Outstanding | 49,100 | 49,100
December 2020 Placement Agent Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-12 |
Term | 5 years |
Exercise Price Per Share | $ 152.80 |
Exercised during the period | 0 | 0
Outstanding | 3,274 | 3,274
July 2020 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-07 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 9.00 |
Exercised during the period | 0 | 0
Outstanding | 16,036 | 16,036
July 2020 Placement Agent Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-07 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 198.80 |
Exercised during the period | 0 | 0
Outstanding | 802 | 802
May 2020 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-05 |
Term | 5 years |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 0 | 9,946
May 2020 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-05 |
Term | 5 years |
Exercise Price Per Share | $ 191.2 |
Exercised during the period | 0 | 0
Outstanding | 0 | 24,863
May 2020 Placement Agent Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2020-05 |
Term | 5 years |
Exercise Price Per Share | $ 245.20 |
Exercised during the period | 0 | 0
Outstanding | 0 | 1,741
January 2021 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2021-01 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 125.2 |
Exercised during the period | 0 | 0
Outstanding | 90,629 | 90,629
January 2021 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2021-01 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 7,831 | 7,831
September 2019 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2019-09 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 9 |
Exercised during the period | 0 | 0
Outstanding | 0 | 9,892
September 2019 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2019-09 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 300.8 |
Exercised during the period | 0 | 0
Outstanding | 0 | 6,594
June 2019 Warrants [Member] |  |
Class Of Warrant Or Right [Line Items] |  |
Issuance Date | 2019-06 |
Term | 5 years 6 months |
Exercise Price Per Share | $ 200 |
Exercised during the period | 0 | 0
Outstanding | 0 | 10,896

X
- Definition Class of warrants or rights issuance month and year. + References No definition available. + Details
Name: | rkda_ClassOfWarrantsOrRightsIssuanceMonthAndYear
Namespace Prefix: | rkda_
Data Type: | xbrli:gYearMonthItemType
Balance Type: | na
Period Type: | duration

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

X
- Definition Exercise price per share or per unit of warrants or rights outstanding. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 235 -SubTopic 10 -Name Accounting Standards Codification -Section S50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480738/235-10-S50-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 235 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(4)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1 Reference 3: 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 + Details
Name: | us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:perShareItemType
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_ClassOfWarrantOrRightLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of warrants or rights outstanding. + References No definition available. + Details
Name: | us-gaap_ClassOfWarrantOrRightOutstanding
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition Period between issuance and expiration of outstanding warrant and right embodying unconditional obligation requiring redemption by transferring asset at specified or determinable date or upon event certain to occur, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (bbb)(2)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (bbb)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (bbb)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
Name: | us-gaap_WarrantsAndRightsOutstandingTerm
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

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

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

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

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

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

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

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

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=rkda_July2020WarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=rkda_July2020PlacementAgentWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=rkda_May2020WarrantsPrivatePlacementOfferingMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=rkda_May2020WarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=rkda_May2020PlacementAgentWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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

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

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

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

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