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Summary of Significant Accounting Policies (Tables) | 9 Months Ended
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Sep. 30, 2024
Reconciliation of Numerators and Denominators used in Computing Basic and Diluted Net Income Per Share | The following is a reconciliation of the numerators and denominators used in computing basic and diluted net income per share:
|  | Three Months Ended September 30, |  |  | Nine Months Ended September 30, |
|  | 2024 |  |  | 2023 |  |  | 2024 |  |  | 2023 |
Net income (loss) attributable to Odyssey Marine Exploration, Inc. |  | $ | 18,688,236 |  |  | $ | (3,813,285 | ) |  | $ | 20,659,157 |  |  | $ | 13,562,793 |
Numerator: |  |  |  |  |  |  |  |  |  |  |  |
Basic net income (loss) available to stockholders |  | $ | 18,688,236 |  |  | $ | (3,813,285 | ) |  | $ | 20,659,157 |  |  | $ | 13,562,793 |
Income (loss) on equity method investment |  |  | 746,505 |  |  |  | — |  |  |  | (256,062 | ) |  |  | — |
Fair value change of debt instruments |  |  | (5,285,472 | ) |  |  | — |  |  |  | (5,528,725 | ) |  |  | (214,339 | )
Fair value change of warrants |  |  | (10,798,965 | ) |  |  | — |  |  |  | (17,394,715 | ) |  |  | (3,398,976 | )
Fair value change of convertible debt |  |  | (6,279 | ) |  |  | — |  |  |  | (360,690 | ) |  |  | — |
Diluted net income (loss) available to stockholders |  | $ | 3,344,025 |  |  | $ | (3,813,285 | ) |  | $ | (2,881,035 | ) |  | $ | 9,949,478 |
Denominator: |  |  |  |  |  |  |  |  |  |  |  |
Weighted average common shares outstanding – Basic |  |  | 20,665,783 |  |  |  | 20,025,067 |  |  |  | 20,524,779 |  |  |  | 19,871,381 |
Dilutive effect of options |  |  | 24,862 |  |  |  | — |  |  |  | — |  |  |  | 5,236 |
Dilutive effect of other derivative instruments |  |  | 3,871,880 |  |  |  | — |  |  |  | 3,871,880 |  |  |  | 174,754 |
Dilutive effect of warrants |  |  | 519,690 |  |  |  | — |  |  |  | 1,386,386 |  |  |  | 91,459 |
Dilutive effect of convertible instruments |  |  | 137,043 |  |  |  | — |  |  |  | 131,488 |  |  |  | 1,394,132 |
Weighted average common shares outstanding – Diluted |  |  | 25,219,258 |  |  |  | 20,025,067 |  |  |  | 25,914,533 |  |  |  | 21,536,962 |
Net income (loss) per share: |  |  |  |  |  |  |  |  |  |  |  |
Basic |  | $ | 0.90 |  |  | $ | (0.19 | ) |  | $ | 1.01 |  |  | $ | 0.68 |
Diluted |  | $ | 0.13 |  |  | $ | (0.19 | ) |  | $ | (0.11 | ) |  | $ | 0.46 |
In the Money Potential Common Shares [Member] |
Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share | The potential common shares in the following tables represent potential common shares from outstanding options, restricted stock awards, convertible notes and other convertible securities that were excluded from the calculation of diluted EPS during periods due to having an anti-dilutive effect are:
|  | Three Months Ended September 30, |  |  | Nine Months Ended September 30, |
|  | 2024 |  |  | 2023 |  |  | 2024 |  |  | 2023 |
Average market price during the period |  | $ | 3.75 |  |  | $ | 3.79 |  |  | $ | 4.16 |  |  | $ | 3.41 |
Option awards |  |  | 1,233,090 |  |  |  | 1,116,855 |  |  |  | 1,529,824 |  |  |  | 1,098,433 |
Unvested restricted stock awards |  |  | — |  |  |  | 207,200 |  |  |  | 10,087 |  |  |  | 10,999 |
Convertible notes |  |  | — |  |  |  | 573,813 |  |  |  | — |  |  |  | — |
Common Stock Warrant related |  |  | 5,878,427 |  |  |  | 12,096,169 |  |  |  | 2,174,716 |  |  |  | 7,156,654 |
Put Options |  |  | — |  |  |  | 3,994,419 |  |  |  | — |  |  |  | — |

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