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Stockholders' Deficit - Common stock (Details) - USD ($)
 3 Months Ended 4 Months Ended 9 Months Ended 12 Months Ended 13 Months Ended 25 Months Ended
Aug. 09, 2024
May 09, 2024
May 05, 2024
Aug. 02, 2022
May 16, 2022
Sep. 30, 2024
Jun. 30, 2024
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Sep. 30, 2024
Sep. 30, 2024
Oct. 31, 2023
Aug. 18, 2023
Aug. 17, 2022
Jul. 14, 2022
Class of Stock [Line Items]                                        
Financing expense                       $ 3,545,000                
Common stock, shares authorized (in shares)           100,000,000           100,000,000   100,000,000 100,000,000 100,000,000        
Proceeds from private placement   $ 7,300,000                                    
Offering expenses                         $ 200,000              
Fair value loss on warrant liability           $ (960,000)           $ (5,654,000)                
Remained authorized amount for repurchase           0           $ 0     $ 0 $ 0        
Amendment and Restatements May 2024 Private Placement [Member] | Series A Warrant and Series B Warrant [Member]                                        
Class of Stock [Line Items]                                        
Fair value of warrant liability reclassified to equity $ 5,200,000                                      
Common Stock [Member]                                        
Class of Stock [Line Items]                                        
Issue and sale of share             1,439,988 1,589,655 472,674 168,164                    
Number of stock repurchased                       179,866   78,559            
Treasury stock           400,000           $ 400,000   $ 100,000 $ 400,000 $ 400,000        
Common Stock [Member] | Amendment and Restatements May 2024 Private Placement [Member] | Series A Warrant [Member]                                        
Class of Stock [Line Items]                                        
Restricted beneficial ownership level result of exercise of warrant to receive pre-funded warrant     4.99%                                  
Common Stock [Member] | Amendment and Restatements May 2024 Private Placement [Member] | Series B Warrant [Member]                                        
Class of Stock [Line Items]                                        
Restricted beneficial ownership level result of exercise of warrant to receive pre-funded warrant     9.99%                                  
Common Stock [Member] | Maximum [Member]                                        
Class of Stock [Line Items]                                        
Authorized amount of repurchase of stock                                 $ 500,000      
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Maximum [Member]                                        
Class of Stock [Line Items]                                        
Common stock, shares authorized (in shares)         57,500,000                              
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member]                                        
Class of Stock [Line Items]                                        
Maximum value of shares to be issued under agreement       $ 50,000,000                                
Issue and sale of share                     266,666 0   410,500 150,000          
Period exercisable from the date of issuance                       36 months                
Number of maximum common shares can be resale                                     633,333  
Initial commitment shares       32,846                               32,846
Initial commitment fee paid in cash       $ 100,000                                
Aggregate gross proceeds from sales of common stock       $ 25,000,000                                
Proceeds from sale of common stock, net                     $ 3,200,000     $ 1,000,000            
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] | Minimum [Member]                                        
Class of Stock [Line Items]                                        
Percentage issuance of common stock         19.99%                              
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] | Maximum [Member]                                        
Class of Stock [Line Items]                                        
Number of maximum common shares can be resale                                   1,500,000    
Number of shares reserved for issuance and sale                                     600,486  
2020 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member]                                        
Class of Stock [Line Items]                                        
Issue and sale of share                               527,166        
May 2024 Private Placement [Member]                                        
Class of Stock [Line Items]                                        
Financing expense     $ 3,500,000                                  
Fair value loss on warrant liability           $ 1,000,000           $ 5,700,000                
May 2024 Private Placement [Member] | Common Stock [Member]                                        
Class of Stock [Line Items]                                        
Proceeds from issuance of warrants     $ 10,900,000                                  
Proceeds from private placement   7,300,000                                    
Offering expenses   $ 400,000                                    
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant [Member]                                        
Class of Stock [Line Items]                                        
Number of shares issued   3,591,532 3,591,532                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant [Member] | Initial Subscription [Member]                                        
Class of Stock [Line Items]                                        
Warrant exercise price (in dollars per share)     $ 1.772                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Series B Warrant [Member]                                        
Class of Stock [Line Items]                                        
Number of shares issued   3,591,532 3,591,532                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Series B Warrant [Member] | Additional Subscription [Member]                                        
Class of Stock [Line Items]                                        
Warrant exercise price (in dollars per share)     $ 1.908                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant and Series B Warrant [Member]                                        
Class of Stock [Line Items]                                        
Warrant exercise price (in dollars per share)     1.79                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant and Series B Warrant [Member] | Initial Subscription [Member]                                        
Class of Stock [Line Items]                                        
Offering price     2.04                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Pre-Funded Warrants [Member]                                        
Class of Stock [Line Items]                                        
Number of shares issued   2,151,544                                    
Number of securities called by warrant or right           1,959,430           1,959,430     1,959,430 1,959,430        
May 2024 Private Placement [Member] | Common Stock [Member] | Securities Purchase Agreement [Member]                                        
Class of Stock [Line Items]                                        
Warrant exercise price (in dollars per share)     $ 0.001                                  
Issue and sale of share     3,591,532                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Private Placement and Pre-Funded Warrant [Member] | Initial Subscription [Member]                                        
Class of Stock [Line Items]                                        
Purchase price of share     $ 2.022                                  
May 2024 Private Placement [Member] | Common Stock [Member] | Private Placement and Pre-Funded Warrant [Member] | Additional Subscription [Member]                                        
Class of Stock [Line Items]                                        
Purchase price of share     $ 2.158