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Related Party Transactions - Additional Information (Detail) - USD ($)
3 Months Ended 6 Months Ended
Apr. 30, 2025
Apr. 01, 2025
Dec. 23, 2024
Apr. 01, 2024
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
Jun. 10, 2025
Jun. 04, 2025
Dec. 31, 2024
Related Party Transaction [Line Items]                      
Common stock issued and exchanged with related party           $ 429,568   $ 429,569      
Common stock, shares issued         32,484,832   32,484,832       28,825,333
Consulting service charges         $ 9,000   $ 9,000        
Oceanica Mexico [Member]                      
Related Party Transaction [Line Items]                      
Equity interests in joint venture                   50.00%  
NAFTA [Member]                      
Related Party Transaction [Line Items]                      
Litigation funding waiver fee amount             1,000,000        
Legal and administrative expenses             1,600,000        
Oceanica-ExO Notes ]Member[                      
Related Party Transaction [Line Items]                      
Debt outstanding with accrued and unpaid interest                 $ 135,100,000    
Aggregate arbitration expenses balance                 2,600,000    
Oceanica-ExO Indebtedness [Member]                      
Related Party Transaction [Line Items]                      
Debt instruments converted amount                 $ 137,700,000    
Purchase Agreement [Member] | Two Seas Funds [Member]                      
Related Party Transaction [Line Items]                      
Principal paid             $ 0        
Class of warrants or rights exercise price of warrants or rights $ 1.1       $ 1.1   $ 1.1        
Debt, interest expense         $ 73,999 83,946 $ 145,252 165,651      
Paid in kind interest into capitalized principal       $ 81,705     71,253        
Paid in cash capitalized principal       83,946 $ 0   $ 0        
Class of warrants or rights outstanding 460,000       267,514   267,514        
Purchase Agreement [Member] | Fourworld Funds [Member]                      
Related Party Transaction [Line Items]                      
Principal paid             $ 0        
Class of warrants or rights exercise price of warrants or rights         $ 1.1   $ 1.1        
Debt, interest expense         $ 29,338 33,282 $ 57,588 65,676      
Paid in kind interest into capitalized principal       32,394     56,348        
Paid in cash capitalized principal       33,282 $ 0   $ 0        
Class of warrants or rights outstanding         285,715   285,715        
December Two Thousand And Twenty Three Purchase Agreement [Member] | Two Seas Funds [Member]                      
Related Party Transaction [Line Items]                      
Debt, interest expense         $ 63,400 56,880 $ 124,447 112,242      
Paid in kind interest into capitalized principal   $ 61,047   55,362              
Paid in cash capitalized principal   0   0              
December Two Thousand And Twenty Three Purchase Agreement [Member] | Fourworld Funds [Member]                      
Related Party Transaction [Line Items]                      
Debt, interest expense         $ 15,850 14,220 $ 31,112 28,060      
Paid in kind interest into capitalized principal   15,262   13,840              
Paid in cash capitalized principal   $ 0   $ 0              
December Two Thousand And Twenty Three Purchase Agreement1 [Member] | Two Seas Funds [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights exercise price of warrants or rights         $ 1.23   $ 1.23        
Class of warrants or rights outstanding         470,588   470,588        
December Two Thousand And Twenty Three Purchase Agreement1 [Member] | Fourworld Funds [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights exercise price of warrants or rights         $ 1.23   $ 1.23        
Class of warrants or rights outstanding         117,648   117,648        
December Two Thousand And Twenty Three Purchase Agreement2 [Member] | Two Seas Funds [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights exercise price of warrants or rights         $ 2.05   $ 2.05        
Class of warrants or rights outstanding         70,522   70,522        
December Two Thousand And Twenty Three Purchase Agreement2 [Member] | Fourworld Funds [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights exercise price of warrants or rights         $ 2.05   $ 2.05        
Class of warrants or rights outstanding         17,630   17,630        
SPA                      
Related Party Transaction [Line Items]                      
Shares issued and sold 7,220,141   7,377,912       2,601,595        
Purchase price per share $ 1.1   $ 0.55                
Oceanica Equity Exchange Agreements [Member]                      
Related Party Transaction [Line Items]                      
Accrued aggregate member interest of adminstrators and officers             1,911,666        
Related Party [Member] | Back Office Technical and Support Services [Member] | Deep Sea Mineral Company, CIC, LLC [Member]                      
Related Party Transaction [Line Items]                      
Invoiced for technical services         $ 100,000 100,000 $ 200,000 300,000      
Related Party [Member] | Services Agreement [Member]                      
Related Party Transaction [Line Items]                      
Financing receivable after allowance for credit loss                     $ 1,500,000
Four World Capital Management Llc [Member]                      
Related Party Transaction [Line Items]                      
Beneficial ownership percentage         5.10%   5.10%        
Class of warrants or rights exercise price of warrants or rights         $ 3.35   $ 3.35        
Four World Capital Management Llc [Member] | 2022 Warrants [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights outstanding         205,628   205,628        
Two Seas Capital Lp [Member]                      
Related Party Transaction [Line Items]                      
Beneficial ownership percentage         9.50%   9.50%        
Class of warrants or rights exercise price of warrants or rights         $ 3.35   $ 3.35        
Two Seas Capital Lp [Member] | 2022 Warrants [Member]                      
Related Party Transaction [Line Items]                      
Class of warrants or rights outstanding         447,761   447,761        
Two Seas Capital Lp [Member] | SPA                      
Related Party Transaction [Line Items]                      
Shares issued and sold     1,818,182   1,312,647            
Purchase price per share         $ 1.1   $ 1.1        
Right to purchase additional shares     1,779,302                
Number of options held to purchase additional shares         457,655   457,655        
Caplat capital latinoamericano, S.A. de C.V. [Member]                      
Related Party Transaction [Line Items]                      
Beneficial ownership percentage         11.64%   11.64%        
Equity interests in joint venture                   50.00%  
Caplat capital latinoamericano, S.A. de C.V. [Member] | SPA                      
Related Party Transaction [Line Items]                      
Shares issued and sold     2,481,919   489,279            
Purchase price per share         $ 1.1   $ 1.1        
Right to purchase additional shares     2,428,747                
Number of options held to purchase additional shares         1,939,468   1,939,468        
Odyssey's Common Stock [Member] | Oceanica Equity Exchange Agreements [Member]                      
Related Party Transaction [Line Items]                      
Common stock issued and exchanged with related party             $ 914,950        
Common stock, shares issued         1,841,137   1,841,137        
Oceanica Resources S. de. R.L [Member]                      
Related Party Transaction [Line Items]                      
Membership interests holding percentage         90.00%   90.00%        
ORM [Member]                      
Related Party Transaction [Line Items]                      
Membership interests holding percentage         78.30%   78.30%        
CIC Limited1 [Member]                      
Related Party Transaction [Line Items]                      
Equity Method Investment Ownership Interest         14.20%   14.20%        
Variable Interest Entity, Qualitative or Quantitative Information, Ownership Percentage             11.90%        
Oceanica Marine Operations [Member] | Services Agreement [Member]                      
Related Party Transaction [Line Items]                      
Interest rate, stated percentage         18.00%   18.00%        
Debt outstanding with accrued interest                     $ 124,900,000
Oceanica Marine Operations [Member] | Related Party [Member]                      
Related Party Transaction [Line Items]                      
Financing receivable after allowance for credit loss         $ 23,000,000   $ 23,000,000        
Oceanica Marine Operations [Member] | Related Party [Member] | Oceanica-ExO Notes ]Member[                      
Related Party Transaction [Line Items]                      
Conversion price         $ 2.75   $ 2.75        
Ocean Minerals LLC [Member]                      
Related Party Transaction [Line Items]                      
Equity Method Investment Ownership Interest         7.00%   7.00%        
Marine services revenue         $ 22,500 $ 50,780 $ 45,000 $ 100,000