Inspired by a similar idea in Abbey Hendrickson's book You Are Awesome (Cicada, 2012), we stitched a house number in colorful nylon twine directly into the mesh, using its existing grid as our foolproof guide.
Mason twine, by Everbilt, in Neon, $5.25 for 250 ft., homedepot.com
Thread a few feet of twine into a size 18 tapestry needle, testing to ensure it fits through the screen (it will fit through most); knot. (To keep ends of twine from fraying, carefully melt ends with a lit match.)
Starting at a corner of the number, insert needle from back of screen and pull through. Push needle back into screen at next corner (it's okay if it's a very long stitch).
Continue with stitches on alternating sides of screen until you reach starting point. Then stitch entire number again, so thread appears as a continuous line.