SINGAPORE (Reuters) - Bitcoin recovered from a one-month low and broke back above $30,000 on Wednesday, suggesting firm support around that level even as the mood in broader financial markets remained fragile. Bitcoin rose about 3% to $30,762 in the Asia session after it dropped to its lowest since June on Tuesday at $29,296. Bitcoin is worth less than half its April record high of $64,895.22. Ether rose 4% to $1,862.