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Other Income (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2023 | Sep. 30, 2022
Other Income and Expenses [Abstract] |  |  |  |
Other income, including settlement and life insurance proceeds |  |  | $ 3,700,000 |
Other income - settlement | $ 475,000 | $ 0 | 475,000 | $ 0
Other income - insurance proceeds | $ 346,800 | $ 0 | $ 346,800 | $ 611,330

X
- Definition Gain (Loss) Related to Settlement + References No definition available. + Details
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Namespace Prefix: | cpix_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Other Income, Including Settlement And Life Insurance Proceeds + References No definition available. + Details
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Namespace Prefix: | cpix_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Amount of excess (deficiency) of insurance recovery over the loss incurred from an insured event. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 450 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147483049/450-30-50-1 + Details
Name: | us-gaap_InsuredEventGainLoss
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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