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v3.25.3

Subsequent Events (Details) - Pre Funded Warrants - shares | 1 Months Ended
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Oct. 31, 2025 | Jun. 30, 2025
Subsequent Event [Line Items] |  |
Issuance of common stock from warrant exercises (in shares) |  | 333,333
Subsequent Event |  |
Subsequent Event [Line Items] |  |
Issuance of common stock from warrant exercises (in shares) | 244,444 |

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- Definition Number of stock issued as a result of the exercise of warrants. + References No definition available. + Details
Name: | kprx_StockIssuedDuringPeriodSharesWarrantsExercised
Namespace Prefix: | kprx_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 830 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147481674/830-30-50-2 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 855 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483399/855-10-50-2 + Details
Name: | us-gaap_SubsequentEventLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=kprx_PreFundedWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |