I started by searching in Google for the Jesuit School of Theology of Santa Clara University restated article PDF.
One of the first results was a California Secretary of State certified PDF of the Amended and Restated Articles of Incorporation.
When I opened the PDF, the first page was a certification page from the Secretary of State. On the top part of that page, it showed the official filing number for the school.
That number is what the challenge was asking for. I then wrapped it in the required format bronco{...} and submitted it.