Smriti (स्मृति) is from the Sanskrit smṛti — "memory, remembrance" — also a category of Hindu sacred literature meaning "that which is remembered" (the Smṛti texts include the Mahabharata, Ramayana, Puranas, and Dharma-shastras). Smriti Mandhana (born 1996) — Indian women's cricket opening batter; the youngest woman ever to score a Test century for India (at 19, against Australia 2016); awarded the International Cricket Council's Women's Cricketer of the Year three times (2018, 2021, 2024) — the most by any player male or female since the ICC award was created. Padma Shri (2019).
Smriti 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 Smriti reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.