John Resig discusses four problems that digital librarians face: 1) searching by image without exact matches, 2) disagreements on names and titles, 3) poor quality images, and 4) educating users. He provides examples and potential solutions for each problem, including image search tools, handling alternate names and formats, improving images through cropping and computer vision, and using question/answer interfaces to educate users. Resig advocates for open source tools and collaborative solutions to advance access to knowledge.