Ron Guth:
Proof versions of the 1837 No Stars Dime are very rare. Most researchers suggest a surviving population of thirty Proofs, a figure supported by the two dozen already certified by PCGS (which doubtless contains some duplication). Though this number seems small, it is actually rather large for the period and may relate to the enthusiasm surrounding the introduction of the new design. The No Stars version has been nicknamed "mini-Gobrecht" by some collectors, as an homage to the new silver dollars of 1836 with the same obverse design.
All Proof 1837 No Stars Dimes are of the Large Date variety (Fortin 101). What is interesting about this variety is that the 7 was punched into the die twice -- first in a lower position, then in a higher position. This gives the 7 an elongated appearance, making it a really "large" date.