Thanks to Snape I could find objdump and attempt what is suggested here
https://en.wikipedia.org/wiki/Rpath

me@my-machine /gnu/store/zv2c9mbs4q7f75p9xlgxs62fb5wmp3ac-granite-0.4.0.1$
objdump -a -x bin/granite-demo | grep NEEDED
  NEEDED               libgranite.so.3  <--- here it is
  NEEDED               libgtk-3.so.0
  NEEDED               libgdk-3.so.0
  NEEDED               libpangocairo-1.0.so.0
  NEEDED               libpango-1.0.so.0
  NEEDED               libatk-1.0.so.0
  NEEDED               libcairo-gobject.so.2
  NEEDED               libcairo.so.2
  NEEDED               libgdk_pixbuf-2.0.so.0
  NEEDED               libgio-2.0.so.0
  NEEDED               libgthread-2.0.so.0
  NEEDED               libgee-0.8.so.2
  NEEDED               libgobject-2.0.so.0
  NEEDED               libglib-2.0.so.0
  NEEDED               libm.so.6
  NEEDED               libgcc_s.so.1
  NEEDED               libc.so.6


and

me@my-machine /gnu/store/zv2c9mbs4q7f75p9xlgxs62fb5wmp3ac-granite-0.4.0.1$
objdump -a -x bin/granite-demo | grep RPATH
me@my-machine /gnu/store/zv2c9mbs4q7f75p9xlgxs62fb5wmp3ac-granite-0.4.0.1$