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Stockholders' Equity/(Deficit) - Additional Information (Detail)
1 Months Ended 2 Months Ended 3 Months Ended 6 Months Ended
Jun. 27, 2025
USD ($)
Apr. 30, 2025
$ / shares
shares
Apr. 14, 2025
shares
Mar. 27, 2025
shares
Dec. 23, 2024
USD ($)
$ / shares
shares
Jun. 10, 2022
USD ($)
shares
Jul. 31, 2025
USD ($)
$ / shares
shares
Aug. 18, 2025
USD ($)
$ / shares
shares
Jun. 30, 2025
USD ($)
$ / shares
shares
Jun. 30, 2024
USD ($)
shares
Jun. 30, 2025
USD ($)
$ / shares
shares
Jun. 30, 2024
USD ($)
shares
Dec. 31, 2024
USD ($)
shares
Dec. 31, 2023
$ / shares
shares
Dec. 28, 2023
USD ($)
Dec. 01, 2023
USD ($)
Mar. 06, 2023
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Common Stock, Value, Issued | $                 $ 3,249   $ 3,249   $ 2,883        
APIC at a fair value | $         $ 1,500,000       1,000,000                
Share-based compensation expense | $                 $ 45,742 $ 101,785 $ 91,484 $ 1,564,532          
Common stock, shares issued                 32,484,832   32,484,832   28,825,333        
Offering cost paid on sale of common stock | $                     $ 97,135 $ 0          
Restricted Stock Units                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Number of Shares, Granted     36,404               36,404            
SPA                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Shares issued and sold   7,220,141     7,377,912           2,601,595            
Purchase price per share | $ / shares   $ 1.1     $ 0.55                        
Aggregate purchase price | $         $ 4,100,000           $ 2,900,000            
Remaining options to purchase outstanding                 4,618,546   4,618,546            
Oceanica Equity Exchange Agreements                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Accrued aggregate member interest of adminstrators and officers                     1,911,666            
Compensation quota aggregate amount of additional fair value | $                     $ 2,029,575            
Compensation quota, incremental value | $ $ 2,029,575                                
Oceanica Equity Exchange Agreements | Odyssey's Common Stock [Member]                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Common stock, shares issued                 1,841,137   1,841,137            
December 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Debt instrument face amount | $                             $ 2,250,000 $ 3,750,000  
March 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrants or rights exercise price of warrants or rights | $ / shares                                 $ 1.1
2022 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrant or right, Number of securities called by warrants or rights           4,939,515                      
Warrants, expiration beginning date           Dec. 10, 2022                      
Warrants, expiration date           Jun. 10, 2027                      
Common stock, shares issued           4,939,515                      
Offering cost paid on sale of common stock | $           $ 1,800,000                      
Net proceeds received from sale | $           $ 14,700,000                      
2022 Warrants | Measurement Input, Exercise Price [Member]                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Long-term debt measurement input           3.35                      
2022 Warrants | Measurement Input, Share Price [Member]                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Long-term debt measurement input           3.35                      
First tranche | December 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrants or rights exercise price of warrants or rights | $ / shares                           $ 1.23      
Second tranche | December 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrants or rights exercise price of warrants or rights | $ / shares                           $ 2.05      
Maximum [Member] | March 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrant or right, Number of securities called by warrants or rights                                 3,703,704
Maximum [Member] | First tranche | December 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrant or right, Number of securities called by warrants or rights                           1,411,765      
Maximum [Member] | Second tranche | December 2023 Warrants                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Class of warrant or right, Number of securities called by warrants or rights                           211,565      
Subsequent Event [Member] | SPA                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Shares issued and sold               4,373,893                  
Aggregate purchase price | $               $ 4,800,000                  
Remaining options to purchase outstanding               0                  
Class of warrants or rights exercise price of warrants or rights | $ / shares               $ 1.1                  
Consultant                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Common stock, shares issued                 225,500 225,500 225,500 225,500          
Common Stock | Oceanica Equity Exchange Agreements                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Exchange value per share | $ / shares                 $ 1.12   $ 1.12            
Common Stock | Subsequent Event [Member] | SPA                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Shares issued and sold             4,373,893                    
Aggregate purchase price | $             $ 4,800,000                    
Class of warrants or rights exercise price of warrants or rights | $ / shares             $ 1.1                    
Common Stock | Director [Member]                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Number of stock options granted       7,500                          
Member Interests | Oceanica Equity Exchange Agreements                                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                  
Exchange value per share | $ / shares                 $ 0.017   $ 0.017