Pauli is a diminutive of Paul — from Latin paulus ("small, humble"). Pauli Murray (1910-1985) was the African-American lawyer, poet, civil rights activist, and the first Black person ordained an Episcopal priest (and the first Black woman). Her legal scholarship influenced Thurgood Marshall's Brown v. Coined the term "Jane Crow."
Pauli 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 Pauli reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.