Discounted promissory note.

No definition available.

Name:	rkda_DiscountedPromissoryNote
Namespace Prefix:	rkda_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Number of additional prepayment shares issuable

+ References

No definition available.

+ Details

Name:	rkda_NumberOfAdditionalPrepaymentSharesIssuable
Namespace Prefix:	rkda_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of shares issuable.

+ References

No definition available.

+ Details

Name:	rkda_NumberOfSharesIssuable
Namespace Prefix:	rkda_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of shares issued.

+ References

No definition available.

+ Details

Name:	rkda_NumberOfSharesIssued
Namespace Prefix:	rkda_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Promissory note, current and non current.

+ References

No definition available.

+ Details

Name:	rkda_PromissoryNoteCurrentAndNonCurrent
Namespace Prefix:	rkda_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Promissory note interest description.

+ References

No definition available.

+ Details

Name:	rkda_PromissoryNoteInterestDescription
Namespace Prefix:	rkda_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Promissory note principal receviable each year.

+ References

No definition available.

+ Details

Name:	rkda_PromissoryNotePrincipalReceviableEachYear
Namespace Prefix:	rkda_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Promissory note term.

+ References

No definition available.

+ Details

Name:	rkda_PromissoryNoteTerm
Namespace Prefix:	rkda_
Data Type:	xbrli:durationItemType
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/2009/role/commonPracticeRef
-Topic 310
-SubTopic 20
-Name Accounting Standards Codification
-Section 40
-Paragraph 7
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481628/310-20-40-7

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481990/310-10-45-2

+ Details

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

- Definition

Amount of consideration received or receivable for the disposal of assets and liabilities, including discontinued operation.

+ References

No definition available.

+ Details

Name:	us-gaap_DisposalGroupIncludingDiscontinuedOperationConsideration
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Fair value as of the balance sheet date of the embedded derivative or group of embedded derivatives classified as an asset.

+ 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

Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 4A
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480434/815-10-50-4A

+ Details

Name:	us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeAsset
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of gain (loss) from sale and disposal of integrated set of activities and assets capable of being conducted and managed for purpose of providing return in form of dividend, lower cost, or other economic benefit to investor, owner, member and participant.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-28

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 810
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1B
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481203/810-10-50-1B

+ Details

Name:	us-gaap_GainLossOnSaleOfBusiness
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of interest income (expense) classified as operating.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 220
-SubTopic 40
-Name Accounting Standards Codification
-Section 55
-Paragraph 21
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147476153/220-40-55-21

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 280
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 22
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482810/280-10-50-22

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 942
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-04(10))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478524/942-220-S99-1

+ Details

Name:	us-gaap_InterestIncomeExpenseNet
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of accretion of purchase discount on nonoperating securities.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(8))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

+ Details

Name:	us-gaap_InvestmentIncomeAmortizationOfDiscount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of the required periodic payments of both interest and principal.

+ 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(22)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 2: 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(19)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

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

- Definition

Amount of the required periodic payment applied to interest.

+ References

+ Details

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

- Details

Name:	us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis=rkda_GoodwheatMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DisposalGroupClassificationAxis=us-gaap_SegmentDiscontinuedOperationsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_TypeOfArrangementAxis=rkda_AssetPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_TypeOfArrangementAxis=rkda_AssetPurchaseAgreementAndSecurityAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Note Receivable and Embedded Derivatives - Additional Information (Details) - USD ($)			2 Months Ended	3 Months Ended		6 Months Ended
	May 14, 2025	May 14, 2024	Jun. 30, 2025	Jun. 30, 2025	Jun. 30, 2024	Jun. 30, 2025	Jun. 30, 2024	May 01, 2025	May 16, 2024
Accounts, Notes, Loans and Financing Receivable [Line Items]
Accrued interest				$ 9,000	$ 150,000	$ 216,000	$ 195,000
GoodWheat [Member]
Accounts, Notes, Loans and Financing Receivable [Line Items]
Loss on sale of brand					1,500,000
Discontinued Operations [Member] \| GoodWheat [Member]
Accounts, Notes, Loans and Financing Receivable [Line Items]
Sale of net consideration									$ 3,700,000
Loss on sale of brand					$ 1,500
Promissory note, current and non current		$ 6,000,000	$ 0	0		0
Promissory note term		3 years
Promissory note interest description		Wall Street Journal prime rate
Promissory note principal receviable each year		$ 2,000,000
Fair value of embedded derivative note receivable		$ 250,000	0	0		0
Discounted promissory note			$ 545,000	545,000		545,000
Amortization of discount				0		69,000	29,000
Accrued interest				$ 0		$ 111,000	$ 67,000
Discontinued Operations [Member] \| GoodWheat [Member] \| Asset Purchase Agreement [Member]
Accounts, Notes, Loans and Financing Receivable [Line Items]
Number of parent shares issuable in connection with the notice								3,500,000
Number of prepayment shares issued			2,700,000
First payment principal and accrued interest	$ 2,000,000
Number of additional prepayment shares issuable			800,000	800,000		800,000
Interest under the Promissory Note	$ 421,000
Discontinued Operations [Member] \| GoodWheat [Member] \| Asset Purchase Agreement and Security Agreement [Member]
Accounts, Notes, Loans and Financing Receivable [Line Items]
Sale of net consideration									$ 3,700,000