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Common Stock, Stock Options and Warrants (Details) - USD ($)
1 Months Ended 3 Months Ended 6 Months Ended
Feb. 07, 2023
Nov. 08, 2022
Oct. 04, 2022
Sep. 13, 2022
Nov. 02, 2021
Nov. 01, 2021
Oct. 11, 2021
May 27, 2023
Mar. 21, 2022
Feb. 28, 2022
Jan. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Sep. 11, 2020
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares         50,201     100,000 100,000              
Fair value common stock issued (in Dollars)         $ 95,884     $ 102,000 $ 178,000              
Common stock plus                       2,000,000   2,000,000    
Option to purchase share outstanding                       225,000   225,000    
Remaining shares                       1,417,778   1,417,778   7,500,000
Shares available for future grants                           11,810,000    
Contractual term                           10 years    
Issued shares of purchase 75,000 50,000         375,000                  
Share price (in Dollars per share) $ 1.42 $ 1.04 $ 1.25     $ 1.87 $ 2.04     $ 1.49 $ 1.44 $ 0.97   $ 0.97    
Board of directors granted options to purchase shares           200,000                    
Options to purchase shares                   300,000 300,000          
Share issued price per share                             1.69  
Stock-based compensation expense (in Dollars)                       $ 1,165,595 $ 33,333 $ 2,366,676 $ 66,666  
Citius stock plans (in Dollars)                       $ 6,989,559   $ 6,989,559    
Weighted average period term                           1 year 10 months 24 days    
Common shares outstanding                       2,000,000   2,000,000    
Exercise price per share (in Dollars per share)                       $ 0.24   $ 0.24    
Unrecognized total compensation (in Dollars)                       $ 116,444   $ 116,444    
Common Stock [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares       81,500                        
Fair value common stock issued (in Dollars)       $ 104,320                        
Issued shares of purchase     375,000                          
Directors [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares of purchase             175,000                  
Warrants [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Weighted average remaining life of the outstanding warrants                       2 years 4 months 24 days   2 years 4 months 24 days    
Aggregate intrinsic value for the warrants outstanding (in Dollars)                           $ 1,489,687    
Board of Directors [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares of purchase 150,000                              
Board of Directors [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares of purchase     3,375,000       2,515,000                  
Directors [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Issued shares of purchase     50,000                          
2014 Stock Incentive Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Common stock for issuance                       866,667   866,667    
Shares outstanding                       855,171   855,171    
2018 Omnibus Stock Incentive Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Common stock for issuance                       2,000,000   2,000,000    
Number of shares outstanding                       1,733,333   1,733,333    
2020 Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Common stock plus                       3,110,000   3,110,000    
Option to purchase share outstanding                       1,870,000   1,870,000    
Remaining shares                       1,240,000   1,240,000    
2021 Stock Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Option to purchase share outstanding                       8,705,000   8,705,000    
Shares for issuance to employee reserved                       8,740,000   8,740,000    
Shares available for future grants                           35,000    
2023 Stock Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Common stock plus                       12,035,000   12,035,000    
NoveCite Stock Plan [Member]                                
Common Stock, Stock Options and Warrants (Details) [Line Items]                                
Stock-based compensation expense (in Dollars)                       $ 1,020,998 $ 33,333 $ 1,925,602 $ 66,666