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Note 9 - Commitments and Contingencies (Details Textual) - USD ($) |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 6 Months Ended | 12 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 22, 2023 | Jan. 26, 2023 | Feb. 07, 2022 | Jan. 07, 2022 | Jul. 12, 2021 | Feb. 28, 2023 | Dec. 31, 2023 | Jun. 30, 2023 | Dec. 31, 2023 | Dec. 31, 2022 | Sep. 21, 2023 | May 11, 2023 | Mar. 01, 2023 | Jun. 30, 2022
Capital Expenditures Incurred but Not yet Paid |  |  |  |  |  |  |  |  | $ 1,200,000 |  |  |  |  |
Deconsolidation, Gain (Loss), Amount |  |  |  |  |  |  |  |  | 40,321,483 | $ 0 |  |  |  |
Equity Securities, FV-NI |  |  |  |  |  |  | $ 18,318,521 |  | 18,318,521 | 0 |  |  |  |
Equity Securities, FV-NI, Cost |  |  |  |  |  |  | 7,500,000 |  | $ 7,500,000 |  |  |  |  |
Special Purpose Acquisition Company (SPAC) [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Financing Receivable, before Allowance for Credit Loss | $ 1,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Murphy Canyon Acquisition Sponsor, LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible Assets, Net (Excluding Goodwill) |  |  |  |  |  |  |  |  |  |  |  | $ 5,000,001 |  |
Deconsolidation, Gain (Loss), Amount | 6,200,000 |  |  |  |  |  | $ 40,300,000 |  |  |  |  |  |  |
Deconsolidation, Revaluation of Retained Investment, Gain (Loss), Amount | $ 34,100,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Conduit Pharmaceuticals Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Issued During Period, Shares, New Issues (in shares) | 754,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Issued During Period, Shares, Acquisitions (in shares) | 65,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Conduit Pharmaceuticals Inc [Member] | Director [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | 45,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Issued During Period, Shares, Issued for Services (in shares) | 45,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Conduit Pharmaceuticals Inc [Member] | Private Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | 754,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Conduit Pharmaceuticals Inc [Member] | Conversion of Class B to Class A Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Issued During Period, Shares, Conversion of Convertible Securities (in shares) | 3,306,250 |  |  |  |  |  |  |  |  |  |  |  |  |
Common Class A [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Redeemed or Called During Period, Shares (in shares) |  |  |  |  |  |  |  |  | 11,037,272 |  |  |  |  |
Stock Subject to Possible Redemption, Shares (in shares) |  |  |  |  |  |  |  |  |  |  |  |  | 2,187,728 |
Stock Issued During Period, Shares, New Issues (in shares) |  |  |  |  | 1,000,000 |  |  |  |  |  |  |  |  |
Common Class A [Member] | Conduit Pharmaceuticals Inc [Member] | Private Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | 754,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Trust for the SPAC Class A Common Stockholders [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash Withdrawn From Trust Account |  |  |  |  |  |  |  | $ 114,100,000 |  |  |  |  |  |
Trust Account, Income Tax Withdraws |  |  |  |  |  | $ 200,050 |  |  |  |  |  |  |  |
Trust Account, Extension Payments |  |  |  |  |  | $ 155,403 |  |  |  |  |  |  |  |
Investments |  |  |  |  |  |  |  | $ 23,300,000 |  |  |  |  |  | $ 135,100,000
Investment Income, Net |  |  |  |  |  |  |  |  | $ 1,200,000 | $ 800,000 |  |  |  |
Annual Yield Return |  |  |  |  |  |  |  | 0.97% |  |  |  |  |  |
The “Merger Consideration” [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Redeemed or Called During Period, Shares (in shares) |  | 11,037,272 |  |  |  |  |  |  |  |  |  |  |  |
Special Purpose Acquisition Company (SPAC) [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Subsidiary, Ownership Percentage, Parent |  |  |  |  |  |  |  |  |  |  | 65.00% |  |  |
Conduit Pharmaceuticals Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Investment Owned, Net Assets, Percentage | 6.50% |  |  |  |  |  | 6.30% |  | 6.30% |  |  |  |  |
SPAC, Initial Public Offering [Member] | Murphy Canyon Acquisition Sponsor, LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from Issuance of Common Stock |  |  | $ 132,250,000 | $ 132,250,000 |  |  |  |  |  |  |  |  |  |
Subsidiary, Ownership Percentage, Parent |  |  |  | 23.50% |  |  |  |  |  |  |  |  |  |
Units Issued During Period, Units, New Issues (in shares) |  |  | 13,225,000 | 132,250,000 |  |  |  |  |  |  |  |  |  |
SPAC Units, Composition, Number of Shares Per Unit (in shares) |  |  |  | 1 |  |  |  |  |  |  |  |  |  |
SPAC, Placement Units, Number of Units Purchased (in shares) |  |  | 754,000 |  |  |  |  |  |  |  |  |  |  |
SPAC, Placement Units, Price Per Share (in dollars per share) |  |  | $ 10 |  |  |  |  |  |  |  |  |  |  |
SPAC, Purchase Units, Payments for the Purchase of Equity |  |  | $ 7,540,000 |  |  |  |  |  |  |  |  |  |  |
Stock Issuance Costs |  |  | 7,738,161 |  |  |  |  |  |  |  |  |  |  |
Underwriting Discounts and Commission |  |  | 2,645,000 |  |  |  |  |  |  |  |  |  |  |
Deferred Underwriting Fees |  |  | 4,628,750 |  |  |  |  |  |  |  |  |  |  |
Other Equity Offering Costs |  |  | $ 464,411 |  |  |  |  |  |  |  |  |  |  |

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