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Subsequent Events (Details Narrative)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 31, 2024
USD ($)
$ / shares
shares
Oct. 21, 2024
USD ($)
$ / shares
shares
Oct. 14, 2024
USD ($)
$ / shares
shares
Jul. 30, 2024
USD ($)
Jun. 13, 2024
USD ($)
shares
Mar. 08, 2024
USD ($)
shares
Feb. 07, 2024
USD ($)
Aug. 31, 2023
d
$ / shares
Dec. 28, 2021
USD ($)
$ / shares
shares
Oct. 31, 2024
USD ($)
$ / shares
shares
Sep. 30, 2024
USD ($)
shares
Jun. 30, 2024
USD ($)
shares
Mar. 31, 2024
USD ($)
shares
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2024
USD ($)
shares
Sep. 30, 2023
USD ($)
shares
Dec. 31, 2023
USD ($)
shares
Dec. 31, 2022
USD ($)
$ / shares
shares
Dec. 31, 2024
shares
Aug. 13, 2024
$ / shares
shares
Aug. 06, 2024
USD ($)
Jan. 31, 2023
$ / shares
shares
Jan. 11, 2023
$ / shares
Sep. 30, 2022
USD ($)
Aug. 31, 2022
$ / shares
Aug. 01, 2022
$ / shares
Apr. 30, 2022
$ / shares
Apr. 29, 2022
$ / shares
Dec. 31, 2021
$ / shares
Mar. 09, 2021
Subsequent Event [Line Items]                                                            
Convertible notes payable                     $ 10,000,000.0       $ 10,000,000.0   $ 10,000,000                          
Proceeds from issuance of debt                 $ 494,925                                          
Outstanding balance percentage                 10.00%                               10.00%         1.00%
Exercise price | $ / shares                 $ 8.00                 $ 111.04       $ 1.93     $ 16.00 $ 20.00 $ 8.00 $ 16.00 $ 8.00  
Expected years                                                 4 years 6 months          
Proceeds from convertible notes payable                             $ 3,935,000 3,935,000 $ 550,715                        
Repayment of convertible note                             $ 846,806 334,444                        
Common stock issued for cash upon initial public offering and exercise of warrants, net of issuance costs, as restated, shares | shares                                   3,750                        
Number of warrants issued | shares                 62,500                         127,260                
Share Price | $ / shares               $ 1.00                   $ 16.00   $ 1.00     $ 18.80              
Consecutive trading days | d               30                                            
Sale of stock consideration received per transaction             $ 2,250,000                                              
Share based payment award description             (i) one share of the Company’s common stock, (ii) a warrant to purchase one share of the Company’s common stock exercisable at a purchase price of $18.80 per share, and (iii) a percentage of equity interest in Diagnostics such that, assuming the sale of all $2,250,000 of Units, SRO LLC will own a 22% interest in Diagnostics.                                              
Proceeds from issuance of common stock             $ 4,500,000                                              
Restricted stock value                                                
Convertible debt                                 $ 2,254,856             $ 500,000            
Purchase Agreement [Member]                                                            
Subsequent Event [Line Items]                                                            
Escrow deposit             2,250,000                                              
Right offering             4,500,000                                              
Escrow deposit             $ 2,250,000                                              
Initial public offering description             Unless the parties waive the conditions to closing, in the event the full $4,500,000 is not raised, whether through SRO LLC or through the Company’s existing stockholders, the Company will not close on the offering and any funds raised and held in escrow will be returned to investors                                              
Common Stock [Member]                                                            
Subsequent Event [Line Items]                                                            
Common stock issued for cash upon initial public offering and exercise of warrants, net of issuance costs, as restated, shares | shares                                 297,625 352,443                        
Share Price | $ / shares                                   $ 32.00                        
Restricted stock units | shares                     5,002 3,722 15,625 1,876 24,349 1,876 10,650 3,500                        
Restricted stock value                                                
Subsequent Event [Member]                                                            
Subsequent Event [Line Items]                                                            
Exercise price | $ / shares $ 1.42                 $ 1.42                                        
Number of warrants issued | shares 329,461                 329,461                                        
Gross proceeds from offering       $ 10,000,000           $ 3,900,000                                        
Share Price | $ / shares                                       $ 1.00                    
Reverse common stock shares outstanding | shares                                     2,008,689 2,111,235                    
Sale of stock consideration received per transaction             $ 2,250,000                                              
Share based payment award description             (i) one share of SHPH common stock, (ii) a warrant to purchase one share of SHPH common stock exercisable at a purchase price of $18.80 per share, and (iii) a percentage of equity interest in Diagnostics such that, assuming the sale of all $2,250,000 of Units, SRO LLC will own a 22% interest in Diagnostics.                                              
Proceeds from issuance of common stock             $ 4,500,000                                              
Subsequent Event [Member] | Purchase Agreement [Member]                                                            
Subsequent Event [Line Items]                                                            
Escrow deposit             2,250,000                                              
Right offering             4,500,000                                              
Escrow deposit             $ 2,250,000                                              
Initial public offering description             Unless the parties waive the conditions to closing, in the event the full $4,500,000 is not raised, whether through SRO LLC or through SHPH’s existing stockholders, the Company will not close on the offering and any funds raised and held in escrow will be returned to investors.                                              
Subsequent Event [Member] | Chief Financial Officer [Member]                                                            
Subsequent Event [Line Items]                                                            
Restricted stock units | shares         28,455 12,500                                                
Restricted stock value         $ 100,000 $ 41,840                                                
Subsequent Event [Member] | Investor [Member]                                                            
Subsequent Event [Line Items]                                                            
Convertible debt                                         $ 600,000                  
Subsequent Event [Member] | Alliance Global Partners [Member]                                                            
Subsequent Event [Line Items]                                                            
Exercise price | $ / shares $ 1.40                 $ 1.40                                        
Price per share | $ / shares $ 1.525                 $ 1.525                                        
Gross proceeds from offering $ 4,500,000                                                          
Subsequent Event [Member] | Alliance Global Partners [Member] | Common Stock [Member]                                                            
Subsequent Event [Line Items]                                                            
Shares issued | shares 395,574                 395,574                                        
Common stock issued for cash upon initial public offering and exercise of warrants, net of issuance costs, as restated, shares | shares 2,950,820                                                          
Number of warrants issued | shares 2,950,820                 2,950,820                                        
Subsequent Event [Member] | Alliance Global Partners [Member] | Pre-funded Warrant [Member]                                                            
Subsequent Event [Line Items]                                                            
Exercise price | $ / shares $ 0.001                 $ 0.001                                        
Common stock issued for cash upon initial public offering and exercise of warrants, net of issuance costs, as restated, shares | shares 2,555,246                                                          
Number of warrants issued | shares 2,555,246                 2,555,246                                        
Price per share | $ / shares $ 1.524                 $ 1.524                                        
Sale of stock price per share | $ / shares $ 0.001                 $ 0.001                                        
Convertible Bridge Notes [Member] | Subsequent Event [Member]                                                            
Subsequent Event [Line Items]                                                            
Convertible notes payable     $ 600,000                                                      
Accruing interest percentage     14.50%                                                      
Original issue discount percentage   5.00% 5.00%                                                      
Proceeds from issuance of debt   $ 220,000 $ 570,000                                                      
Outstanding balance percentage     107.00%                                                      
Secured debt   231,579                                                        
Proceeds from secured debt   $ 790,000                                                        
Convertible Bridge Notes [Member] | Subsequent Event [Member] | Chief Executive Officer [Member]                                                            
Subsequent Event [Line Items]                                                            
Proceeds from convertible notes payable     $ 237,500                                                      
Repayment of convertible note     $ 250,000                                                      
Convertible Bridge Notes [Member] | Subsequent Event [Member] | Lenders [Member]                                                            
Subsequent Event [Line Items]                                                            
Warrants to purchase shares of common stock | shares   88,544 240,917                                                      
Exercise price | $ / shares   $ 1.49 $ 1.40                                                      
Expected years   5 years 5 years                                                      
Convertible Bridge Notes [Member] | Subsequent Event [Member] | Maximum [Member]                                                            
Subsequent Event [Line Items]                                                            
Convertible notes payable     $ 1,300,000