Truman proclamation 1945
The government of the USA regards the natural resources of the subsoil and sea bed of the continental shelf beneath the high seas but contiguous to the coasts of the US as appertaining to the US, subject to its jurisdiction and control. In cases where the continental sheld extends to the shores of another State, or is shared with an adjacent State, the boundary shall be determined by the US and the State concerned in accordance with equitable principles. The character as high seas of the waters above the continental sheld and the right to their free and unimpeded navigation are in no way thus affected.
Montego Bay, Art. 76 definition continental shelf
The continental shelf of a coastal State comprises the seabed and subsoil of the submarine areas that extend beyond its territorial sea throughout the natural prolongation of its land territory to the outer edge of the continental margin, or to a distance of 200 nautical miles from the baselines from which the breadth of the territorial sea is measured where the outer edge of the continental margin does not extend up to that distance.
In any case, the continental shelf shall not exceed (a certain distance)
Montego Bay, Art.77 rights in continental shelf
Montego Bay, Art. 78, 82 freedoms in the continental shelf and payments to ISA