Kavitha (கவிதா) is the Tamil-Sanskrit word for "poem" — sister word to kavya. Used widely in South India.
Kavitha Lankesh is the Indian Kannada filmmaker.
Kavitha does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Kavitha reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.