Number of Pennsylvania companies appearing in the annual Inc. 5000 list of Fastest Growing Companies in America by industry (top industries in 2020 ranked by number of companies)

The top ten venture capital firms in Pennsylvania by year by number of investments (2021)

The Inc. 5000 is an annually released list that tracks the 5,000 companies in the U.S. that are experiencing the highest revenue growth. Of those companies on the 2020 list, 188 are headquartered in PA.
The literature shows that high growth firms (defined as firms experiencing 20% or greater compound annual revenue grown over 3-years) are responsible for a significantly outsized contribution to economic growth and job creation. It also suggests that small, young, and knowledge-based firms are much more likely to achieve the levels of high growth seen on this list.
The Brookings Institute conducted an analysis and general endorsement of the list: https://www.brookings.edu/research/high-growth-firms-and-cities-in-the-us-an-analysis-of-the-inc-5000/

Data Source: INC 5000, Introducing the 5,000 Fastest-Growing Companies in America

Entrepreneurship
Number of companies appearing in the annual Inc. 5000 list of Fastest Growing Companies in America (top states by number of companies in 2020)

The number of employees at foreign-owned companies in Pennsylvania by the country of ownership