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Note 7 - Equity Transactions (Details Textual) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 01, 2023
May 02, 2023
Apr. 20, 2023
Apr. 03, 2023
Feb. 27, 2023
Jan. 25, 2023
Jan. 03, 2023
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2021
Mar. 03, 2023
Dec. 31, 2022
Jun. 24, 2021
Common Stock, Shares Authorized               50,000,000   50,000,000     50,000,000 20,000,000 20,000,000
Stock Issued During Period, Value, Warrants Exercised                   $ 168          
Pre-funded Warrants [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             1,678,696                
Class of Warrant or Right, Purchase Price of Warrants or Rights (in dollars per share)             $ 1.61                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 0.0001                
Class of Warrant or Right, Maximum Beneficial Ownership Percent.             9.99%                
Stock Issued During Period, Shares, Warrants Exercised (in shares)       537,000 741,000 400,696                  
Stock Issued During Period, Value, Warrants Exercised       $ 54 $ 74 $ 40                  
Series A-1 Warrants [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             2,608,696                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 1.36                
Warrants and Rights Outstanding, Term (Year)             5 years                
Series A-2 Warrants [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             2,608,696                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 1.36                
Warrants and Rights Outstanding, Term (Year)             3 years                
Class of Warrant or Right, Maximum Beneficial Ownership Percent.             4.99%                
Warrants Issued to Placement Agent [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             156,522                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 2.0125                
Warrants and Rights Outstanding, Term (Year)             5 years                
Warrants Issued in April 20, 2023 Private Placement [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)     1,562,883                        
Class of Warrant or Right, Purchase Price of Warrants or Rights (in dollars per share)     $ 0.835                        
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)     $ 0.71                        
Warrants and Rights Outstanding, Term (Year)     7 years                        
Warrants Issued to Rafael Holdings [Member] | Rafael Holdings, Inc. [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) 4,000,000 2,514,970                          
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) $ 1.25 $ 0.71                          
Warrants and Rights Outstanding, Term (Year) 7 years 7 years                          
Warrants To Purchase Common Stock [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)               13,733,117   13,733,117          
Warrants To Purchase Common Stock [Member] | Minimum [Member]                              
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)               $ 0.71   $ 0.71          
Warrants To Purchase Common Stock [Member] | Maximum [Member]                              
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)               $ 65.00   $ 65.00          
Warrants to Purchase Units Sold in May 2016 Private Placement [Member]                              
Warrants and Rights Outstanding, Term (Year)               7 years   7 years          
Warrants to Purchase Units Sold in February 2017 Private Placement [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)               1,641   1,641          
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)               $ 35.00   $ 35.00          
Warrants to Purchase Units Sold in October 2017 Private Placement [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)               2,400   2,400          
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)               $ 25.00   $ 25.00          
Warrants to Purchase Units Sold in May 2016, February 2017 and October 2017 Private Placement [Member]                              
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)               8,082   8,082          
Warrants and Rights Outstanding               $ 234,861   $ 234,861          
Registered Direct Offering [Member]                              
Stock Issued During Period, Shares, New Issues (in shares)             930,000                
Shares Issued, Price Per Share (in dollars per share)             $ 1.61                
Proceeds from Issuance or Sale of Equity, Net of Issuance Costs             $ 3,700,000                
Stock Issued, Offering Fee, Percentage of Proceeds             7.50%                
Stock Issued, Management Fee, Percentage of Proceeds             1.00%                
Non-accountable Expense             $ 35,000                
Legal Counsel Expense and Other Out-of-pocket Expense             50,000                
Clearing Expense             $ 15,950                
Private Placement [Member]                              
Stock Issued During Period, Shares, New Issues (in shares)     1,562,883                        
Proceeds from Issuance or Sale of Equity     $ 1,305,000                        
Private Placement [Member] | Rafael Holdings, Inc. [Member]                              
Stock Issued During Period, Shares, New Issues (in shares) 4,000,000 2,514,970                          
Proceeds from Issuance or Sale of Equity $ 5,000,000 $ 2,100,000                          
Board Members [Member]                              
Share-Based Payment Arrangement, Expense               $ 75,460   $ 185,635 $ 10,500        
Deferred Compensation Liability, Current and Noncurrent                           $ 30,750  
Shares Issued, Shares, Share-Based Payment Arrangement, before Forfeiture (in shares)               55,485 16,017   39,083 11,327      
Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture                 $ 30,752   $ 102,512 $ 41,004      
Employees [Member]                              
Shares Issued, Shares, Share-Based Payment Arrangement, before Forfeiture (in shares)               0     7,500        
Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture                     $ 15,750        
Scientific Advisory Board [Member]                              
Shares Issued, Shares, Share-Based Payment Arrangement, before Forfeiture (in shares)                     5,000        
Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture                     $ 10,500