Number of agreement with related parties.

No definition available.

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Namespace Prefix:	crtx_
Data Type:	xbrli:integerItemType
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Period Type:	instant

- Definition

Costs of sales and operating expenses for the period incurred from transactions with related parties.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.2)
-URI http://asc.fasb.org/extlink&oid=123367319&loc=SL114868664-224227

+ Details

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Balance Type:	debit
Period Type:	duration

- 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

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- Definition

Amount of expenses for special or contractual termination benefits provided to current employees involuntarily terminated under a benefit arrangement associated exit or disposal activities pursuant to an authorized plan. Excludes expenses related to one-time termination benefits, a discontinued operation or an asset retirement obligation.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585

+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Number of fully vested and expected to vest exercisable options that may be converted into shares under option plan. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (e)(2)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

+ Details

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Balance Type:	na
Period Type:	instant

- Definition

Number of shares for which recognition of cost was accelerated for award under share-based payment arrangement.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
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- Details

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- Details

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- Details

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- Details

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- Details

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Related Party Transactions - Additional Information (Details)			1 Months Ended	3 Months Ended		12 Months Ended
	Jan. 28, 2023 shares	Feb. 01, 2022 USD ($) shares	Apr. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Mar. 31, 2021 USD ($) Agreement	Dec. 31, 2021 USD ($)
Related Party Transaction [Line Items]
Severance Costs \| $				$ 261,000	$ 0	$ 0
Subsequent Event
Related Party Transaction [Line Items]
Severance Costs \| $			$ 700,000
Casey C. Lynch
Related Party Transaction [Line Items]
Options unvested, would have vested		26,294
Severance Costs \| $		$ 604,000,000
Casey C. Lynch \| Subsequent Event
Related Party Transaction [Line Items]
Options unvested, would have vested	26,294
Vested options	574,206
Stephen S. Dominy
Related Party Transaction [Line Items]
Options unvested, would have vested		9,230
Severance Costs \| $		$ 326,250,000
Stephen S. Dominy \| Subsequent Event
Related Party Transaction [Line Items]
Options unvested, would have vested	9,230
Vested options	315,659
LifeSci Advisors, LLC \| Non-capital Advisory Consulting Services
Related Party Transaction [Line Items]
Number of agreement \| Agreement					1
Related party expenses \| $				$ 73,000	$ 48,000