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Investment In Unconsolidated Entities - Additional Information (Detail)
 3 Months Ended 9 Months Ended 12 Months Ended
Jul. 03, 2023
USD ($)
$ / shares
shares
Jun. 04, 2023
USD ($)
$ / shares
shares
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
Mar. 31, 2017
shares
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2012
shares
Dec. 31, 2023
USD ($)
Schedule of Equity Method Investments [Line Items]                    
Investment carrying value     $ 9,924,954     $ 9,924,954       $ 9,001,646
Equity method investment realized gain loss on disposal     $ 250,857 $ (190,000)   (96,508) $ (190,000)      
Maximum [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Contribution agreement equity interests issued or issuable number of additional shares issued value           $ 10,000,000        
Ocean Minerals, LLC [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Percentage of issued and outstanding membership owned     0.07     0.07       0.063
Contribution agreement equity interests issued or issuable number of additional shares issued value $ 10,300,000                  
Percentage of initial closing purchased units 6.28%                  
Initial closing purchased units | shares 293,399                  
Initial closing purchased units payment of cash $ 1,000,000                  
Second closing purchased units | shares 195,599                  
Second closing purchased units payment of cash $ 4,000,000                  
Third closing additional purchased units to be issued | shares 244,499                  
Third closing purchased units payment of cash $ 5,000,000                  
Optional units additional purchased units to be issued | shares 1,466,993                  
Optional units purchased units payment of cash | shares 20.45                  
Percentage of discount price paid 10.00%                  
Discounted purchase of optional units | $ / shares $ 20.45                  
Technical services revenue     $ 26,439     $ 200,000        
Investment carrying value     5,000,000     5,000,000       $ 4,500,000
Assumption of changes in put option liability     (5,300,000)     (5,500,000)        
Equity method investment realized gain loss on disposal     $ 300,000     $ (100,000)        
Ocean Minerals, LLC [Member] | Minimum [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Percentage of shares held by the company     3.00%     3.00%        
Ocean Minerals, LLC [Member] | Maximum [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Percentage of shares held by the company     5.00%     5.00%        
Odyssey Retriever, Inc [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Contractual amount     $ 5,000,000     $ 5,000,000        
Fair value of the asset     3,280,261     3,280,261        
Book value of investment held $ 3,100,000                  
Equity method investment realized gain loss on disposal $ 200,000                  
Equity Exchange Agreement [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Maximum percentage of common stock to be issued under exchange agreement 19.90%                  
Stock Option [Member] | Ocean Minerals, LLC [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Assets value of option     $ 5,700,000     $ 5,700,000        
Odyssey Minerals Cayman Limited [Member] | Unit Purchase Agreement [Member] | Ocean Minerals, LLC [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Units sold to purchaser | shares   733,497                
Purchase price   $ 15,000,000                
Percentage of issued and outstanding membership interest units purchased   15.00%                
Membership interest units purchase price per unit | $ / shares   $ 20.45                
Neptune Minerals Incorporated [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Ownership percentage     14.00%     14.00%        
Loss from unconsolidated entity     $ 21,300,000     $ 21,300,000        
Neptune Minerals Incorporated [Member] | Common Class A [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Investment carrying value     $ 0     $ 0        
Chatham Rock Phosphate Ltd [Member]                    
Schedule of Equity Method Investments [Line Items]                    
Investment carrying value                   $ 0
Ownership percentage     1.00%     1.00%        
Deep sea mining exploratory services               $ 1,700,000    
Shares received from CRP | shares         141,884       9,320,348  
Outstanding equity stake in CRP         1.00%