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Related Party Transactions - Additional Information (Detail) - USD ($)
 3 Months Ended 9 Months Ended
Apr. 30, 2025
Dec. 23, 2024
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Jun. 30, 2025
Jun. 10, 2025
Jun. 04, 2025
Dec. 31, 2024
Related Party Transaction [Line Items]                    
Converted aggregate indebtedness         $ 15,535,615 $ 1,185,701        
Principal and accrued interest shares     50,384,898   50,384,898         28,825,333
Common stock issued and exchanged with related party           429,569        
Common stock, shares issued     50,384,898   50,384,898         28,825,333
Consulting service charges     $ 8,400   $ 17,400          
Oceanica Mexico [Member]                    
Related Party Transaction [Line Items]                    
Equity interests in joint venture     50.00%   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 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          
Principal and accrued interest     $ 2,800,000   $ 2,800,000          
Principal and accrued interest shares     2,236,587   2,236,587          
Class of warrants or rights exercise price of warrants or rights $ 1.1   $ 1.1   $ 1.1          
Debt, interest expense     $ 71,015 $ 83,946 $ 216,267 246,110        
Paid in kind interest into capitalized principal         216,124 162,080        
Paid in cash capitalized principal     $ 0 83,946 $ 0 83,946        
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          
Converted aggregate indebtedness         $ 1,100,000          
Class of warrants or rights exercise price of warrants or rights     $ 1.1   $ 1.1          
Debt, interest expense     $ 30,474 31,899 $ 88,062 97,575        
Paid in kind interest into capitalized principal         85,656 64,260        
Paid in cash capitalized principal     $ 0 33,282 $ 0 33,282        
Class of warrants or rights outstanding     285,715   285,715          
Purchase Agreement [Member] | Greywolf [Member]                    
Related Party Transaction [Line Items]                    
Principal and accrued interest     $ 7,200,000   $ 7,200,000          
Principal and accrued interest shares     6,554,624   6,554,624          
Class of warrants or rights exercise price of warrants or rights     $ 1.1   $ 1.1          
Debt, interest expense     $ 86,182 206,756 $ 459,438 632,431        
Paid in kind interest into capitalized principal         555,375 416,498        
Paid in cash capitalized principal     $ 86,182 0 $ 86,182 0        
Class of warrants or rights outstanding     1,851,852   1,851,852          
December Two Thousand And Twenty Three Purchase Agreement [Member] | Two Seas Funds [Member]                    
Related Party Transaction [Line Items]                    
Debt, interest expense     $ 65,854 59,082 $ 190,301 171,324        
Paid in kind interest into capitalized principal         185,167 130,927        
Paid in cash capitalized principal     0 0 0 0        
December Two Thousand And Twenty Three Purchase Agreement [Member] | Fourworld Funds [Member]                    
Related Party Transaction [Line Items]                    
Debt, interest expense     16,464 14,771 47,575 42,831        
Paid in kind interest into capitalized principal         46,292 32,732        
Paid in cash capitalized principal     0 0 0 0        
December Two Thousand And Twenty Three Purchase Agreement [Member] | Greywolf [Member]                    
Related Party Transaction [Line Items]                    
Debt, interest expense     7,516 29,541 69,739 85,662        
Paid in kind interest into capitalized principal         92,584 65,463        
Paid in cash capitalized principal     $ 7,516 0 $ 7,516 0        
Class of warrants or rights outstanding     1,086,458   1,086,458          
Warrants and Rights Outstanding     $ 1,200,000   $ 1,200,000          
December Two Thousand And Twenty Three Purchase Agreement1 [Member] | Two Seas Funds [Member]                    
Related Party Transaction [Line Items]                    
Converted aggregate indebtedness         $ 2,400,000          
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]                    
Converted aggregate indebtedness         $ 600,000          
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 Agreement1 [Member] | Greywolf [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     235,295   235,295          
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      
Class of warrants or rights outstanding     17,630   17,630          
December Two Thousand And Twenty Three Purchase Agreement2 [Member] | Greywolf [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     35,261   35,261          
SPA                    
Related Party Transaction [Line Items]                    
Shares issued and sold 7,220,141 7,377,912 4,373,893   6,975,488          
Purchase price per share $ 1.1 $ 0.55                
Oceanica Equity Exchange Agreements [Member]                    
Related Party Transaction [Line Items]                    
Accrued aggregate 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     $ 37,500 100,000 $ 300,000 400,000        
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     205,777   205,777          
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   1,818,182 457,655   1,779,302          
Purchase price per share     $ 1.1   $ 1.1          
Right to purchase additional shares   1,779,302                
Number of options held to purchase additional shares     0   0          
Greywolf Opportunities Master Fund II LP [Member]                    
Related Party Transaction [Line Items]                    
Beneficial ownership percentage     9.30%   9.30%          
Class of warrants or rights exercise price of warrants or rights     $ 3.35   $ 3.35          
Greywolf Opportunities Master Fund II LP [Member] | 2022 Warrants [Member]                    
Related Party Transaction [Line Items]                    
Class of warrants or rights outstanding     342,391   342,391          
Greywolf Opportunities Master Fund II LP [Member] | SPA                    
Related Party Transaction [Line Items]                    
Shares issued and sold   454,546 355,860   444,826          
Purchase price per share     $ 1.1   $ 1.1          
Right to purchase additional shares   444,826                
Number of options held to purchase additional shares     0   0          
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 1,939,468   2,428,747          
Purchase price per share     $ 1.1   $ 1.1          
Right to purchase additional shares   2,428,747                
Number of options held to purchase additional shares     0   0          
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     14.30%   14.30%          
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     $ 23,475 $ 26,439 $ 68,475 $ 200,000