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Property and Equipment (Depreciation Expense) (Details) - USD ($) | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Property, Plant and Equipment [Abstract] |  |
Depreciation, including amortization related to leasehold improvements | $ 177,148 | $ 260,745

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- Definition Depreciation, Including Amortization Related to Leasehold Improvements + References No definition available. + Details
Name: | cpix_DepreciationIncludingAmortizationRelatedToLeaseholdImprovements
Namespace Prefix: | cpix_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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