XML 40 R28.htm IDEA: XBRL DOCUMENT
v3.25.3

Stock-Based Compensation (Tables) | 9 Months Ended
--- | ---
Sep. 30, 2025
Share-Based Payment Arrangement [Abstract] |
Schedule of Stock-Based Compensation Expense | Stock-based compensation expense is presented in the same expense line items as cash compensation paid and for the three and nine months ended September 30, 2025 and 2024 is as follows:
| Three months ended September 30, |  | Nine months ended September 30,
| 2025 |  | 2024 |  | 2025 |  | 2024
Research and Development | $ | 99,801 |  |  | $ | 98,292 |  |  | $ | 283,438 |  |  | $ | 286,955 |
General and Administrative | 154,597 |  |  | 72,884 |  |  | 382,350 |  |  | 209,458 |
Total Stock-Based Compensation Expense | $ | 254,398 |  |  | $ | 171,176 |  |  | $ | 665,788 |  |  | $ | 496,413 |
Schedule of Weighted Average Assumptions | A summary of the Company's assumptions used in determining the fair value of the stock options granted during the nine months ended September 30, 2025 and 2024 is shown in the following table:
| Nine months ended September 30,
| 2025 |  | 2024
Risk-Free Interest Rate | 3.97 | % |  | 4.44 | %
Expected Life (years) | 6 |  | 6
Expected Stock Price Volatility | 136.6 | % |  | 140 | %
Expected Dividend Yield | — | % |  | — | %
Schedule of Stock Option Activity | Following is a summary of stock option activity for the nine months ended September 30, 2025:
| Number of Options |  | Weighted- Average Exercise Price |  | Weighted- Average Remaining Term in Years
Outstanding at December 31, 2024 | 161,303 |  | $ | 21.15 |  |  | 9.00
Granted | 246,885 |  | $ | 2.93 |  |  |
Expired | (34) |  | $ | 22,645.06 |  |  |
Outstanding at September 30, 2025 | 408,154 |  | $ | 8.24 |  |  | 9.01
Exercisable and vested at September 30, 2025 | 104,359 |  | $ | 22.39 |  |  | 8.12
Schedule of Restricted Stock Activity | The following is a summary of restricted stock activity for the nine months ended September 30, 2025:
| Number of Units |  | Weighted- Average Grant Date Fair Value |  | Weighted- Average Remaining Term in Years
Non-vested Outstanding at December 31, 2024 | 46,697 |  | $ | 7.56 |  |  | 2.19
Awarded | 43,069 |  | $ | 2.93 |  |  |
Released | (17,879) |  | $ | 7.37 |  |  |
Non-vested Outstanding at September 30, 2025 | 71,887 |  | $ | 4.83 |  |  | 2.09

X
- Definition Tabular disclosure of employee and non employee service share based compensation allocation of recognized period costs + References No definition available. + Details
Name: | kprx_EmployeeAndNonEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTableTextBlock
Namespace Prefix: | kprx_
Data Type: | dtr-types:textBlockItemType
Balance Type: | na
Period Type: | duration

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

X
- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -SubTopic 10 -Topic 718 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (e) -SubTopic 10 -Topic 718 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
Name: | us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:textBlockItemType
Balance Type: | na
Period Type: | duration

X
- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Subparagraph (f)(2) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
Name: | us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:textBlockItemType
Balance Type: | na
Period Type: | duration

X
- Definition Disclosure of the number and weighted-average grant date fair value for restricted stock and restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock and restricted stock units that were granted, vested, or forfeited during the year. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
Name: | us-gaap_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:textBlockItemType
Balance Type: | na
Period Type: | duration