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Stockholders' Equity - Summary of common stock warrants outstanding (Details) | 9 Months Ended
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Sep. 30, 2025 $ / shares shares
Stockholders' Equity. |
Beginning Balance, (In shares) | shares | 0
Issued, (In shares) | shares | 514,500
Exercised, (In shares) | shares | 0
Expired, (In shares) | shares | 0
Ending Balance, (In shares) | shares | 514,500
Exercisable, (In shares) | shares | 0
Beginning Balance, (USD/Share) | $ / shares | $ 0
Issued, (USD/Share) | $ / shares | 2.78
Exercised, (USD/Share) | $ / shares | 0
Expired, (USD/Share) | $ / shares | 0
Ending Balance, (USD/Share) | $ / shares | 2.78
Exercisable, (In USD/Share) | $ / shares | $ 0
Remaining Contractual life, Issued | 4 years 10 months 24 days
Remaining Contractual life, Balance | 4 years 10 months 24 days

X
- Definition Represent the information pertains to weighted average remaining contractual life of warrants issued. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightIssuedWeightedAverageRemainingContractualLife
Namespace Prefix: | cgtx_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of securities into which the class of warrant or right exercised. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightNumberOfSecuritiesExercised
Namespace Prefix: | cgtx_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of securities into which the class of warrant or right expired. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightNumberOfSecuritiesExpired
Namespace Prefix: | cgtx_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of class of warrants or rights exercisable. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightNumberOfWarrantsExercisable
Namespace Prefix: | cgtx_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition Number of warrant or right issued during the period. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightNumberOfWarrantsIssued
Namespace Prefix: | cgtx_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Weighted average exercise price per share or per unit of warrants or rights exercisable. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightWeightedAverageExercisePriceOfWarrantsOrRightsExercisable
Namespace Prefix: | cgtx_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | instant

X
- Definition Weighted average exercise price per share or per unit of warrants or rights exercised. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightWeightedAverageExercisePriceOfWarrantsOrRightsExercised
Namespace Prefix: | cgtx_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

X
- Definition Weighted average exercise price per share or per unit of warrants or rights expired. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightWeightedAverageExercisePriceOfWarrantsOrRightsExpired
Namespace Prefix: | cgtx_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

X
- Definition Weighted average exercise price per share or per unit of warrants or rights issued. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightWeightedAverageExercisePriceOfWarrantsOrRightsIssued
Namespace Prefix: | cgtx_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

X
- Definition Represent the information pertains to weighted average remaining contractual life. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantOrRightWeightedAverageRemainingContractualLife
Namespace Prefix: | cgtx_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Per share or per unit weighted average exercise price of warrants or rights outstanding. + References No definition available. + Details
Name: | cgtx_ClassOfWarrantsOrRightsWeightedAverageExercisePrice
Namespace Prefix: | cgtx_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | instant

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