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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% |  |  |  |  |

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