v3.26.1
Stock-Based Compensation (Details) - USD ($)
3 Months Ended 6 Months Ended
Feb. 25, 2026
May 20, 2025
Nov. 09, 2023
Mar. 31, 2026
Mar. 31, 2025
Mar. 31, 2026
Mar. 31, 2025
Sep. 30, 2025
Oct. 31, 2021
Stock-Based Compensation [Line Items]                  
Additional authorization shares 83,333 95,833 25,000            
Number of shares authorized 274,224                
Granted shares       83,334 8,514 84,135 8,514    
Grant date fair value of options granted (in Dollars per share)       $ 3.35 $ 5.87 $ 3.35 $ 5.87    
Total expense (in Dollars)       $ 342,135 $ 250,170 $ 701,390 $ 589,394    
Options exercised       0 0    
Stock options [Member]                  
Stock-Based Compensation [Line Items]                  
Total expense (in Dollars)       $ 243,854 $ 128,378 $ 489,088 $ 331,332    
Stock options outstanding       1,098,038   1,098,038   1,013,903  
Equity Option [Member]                  
Stock-Based Compensation [Line Items]                  
Stock options vested       27,059 18,282 55,443 84,024    
Stock options forfeited          
Restricted Stock Units (RSUs) [Member]                  
Stock-Based Compensation [Line Items]                  
Total expense (in Dollars)       $ 98,281 $ 121,792 $ 212,302 $ 258,062    
Number of restricted stock units issued         13,887 1,293 13,887    
Weighted average grant date fair value (in Dollars per share)           $ 4.3 $ 7.2    
Restricted stock units vest       45,915 48,088 51,983 54,390    
RSUs outstanding       84,750   84,750   135,439  
2025 Equity Incentive Plan [Member]                  
Stock-Based Compensation [Line Items]                  
Shares available for future issuance       307,010   307,010      
Unrecognized stock-based compensation (in Dollars)       $ 2,454,928   $ 2,454,928      
Share-based compensation expected to be recognized, term           2 years 6 months      
2025 Equity Incentive Plan [Member] | Common Stock [Member]                  
Stock-Based Compensation [Line Items]                  
Authorized to issue shares in future           500,000      
2021 Inducement Plan [Member]                  
Stock-Based Compensation [Line Items]                  
Shares available for future issuance                 70,058
Minimum [Member]                  
Stock-Based Compensation [Line Items]                  
Vesting period       12 months          
Maximum [Member]                  
Stock-Based Compensation [Line Items]                  
Vesting period       46 months