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Subsequent Events (Details Narrative)
3 Months Ended 12 Months Ended
Aug. 08, 2024
USD ($)
Aug. 06, 2024
USD ($)
Jul. 30, 2024
USD ($)
Jun. 13, 2024
USD ($)
shares
Mar. 08, 2024
USD ($)
shares
Feb. 07, 2024
USD ($)
Aug. 31, 2023
d
$ / shares
Jun. 30, 2024
USD ($)
Mar. 31, 2024
USD ($)
Dec. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
$ / shares
Dec. 31, 2024
shares
Aug. 13, 2024
$ / shares
shares
Jan. 11, 2023
$ / shares
Sep. 30, 2022
USD ($)
Subsequent Event [Line Items]                              
Share Price | $ / shares             $ 1.00       $ 16.00     $ 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               $ 1,517,989   2,254,856         $ 500,000
Research and development expenses                   $ 3,517,485 1,488,530        
Carried forward                   20 years          
Operating loss carryforwards                   $ 1,727,566 $ 751,844        
Federal income tax                   6,000,000.0          
State income tax                   $ 5,900,000          
Future taxable income                   80.00%          
Federal Research and Development                   $ 360,715          
Carried forward                   20 years          
R&D tax credits                   $ 80,000          
Tax Year 2016 [Member]                              
Subsequent Event [Line Items]                              
Operating loss carryforwards                   139,813          
Tax Year 2017 [Member]                              
Subsequent Event [Line Items]                              
Operating loss carryforwards                   238,380          
Federal Taxable Income [Member]                              
Subsequent Event [Line Items]                              
Net operatiing loss                   6,400,000          
State Taxable Income [Member]                              
Subsequent Event [Line Items]                              
Net operatiing loss                   $ 5,900,000          
Purchase Agreement [Member]                              
Subsequent Event [Line Items]                              
Exchange fee           112,500                  
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                  
Subsequent Event [Member]                              
Subsequent Event [Line Items]                              
Exchange fee $ 2,300,000                            
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                  
Proceeds from Issuance or Sale of Equity     $ 10,000,000                        
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] | 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] | Alliance Global Partners [Member] | Offering [Member] | Maximum [Member]                              
Subsequent Event [Line Items]                              
Sale of Stock, Consideration Received on Transaction     $ 10,000,000.0                        
Alto Convertible Note [Member] | Subsequent Event [Member]                              
Subsequent Event [Line Items]                              
Proceeds from (Repayments of) Related Party Debt   $ 600,000