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Related Party Transactions - Additional Information (Detail) - USD ($) |  |  |  |  | 3 Months Ended | 6 Months Ended |  |  |
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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 |  |  |

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