/usr/share/applications/screensavers/binaryring.desktop is in xscreensaver-data 5.36-1ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 | [Desktop Entry]
Name=BinaryRing
Exec=/usr/lib/xscreensaver/binaryring -root
TryExec=/usr/lib/xscreensaver/binaryring
Comment=A system of path tracing particles evolves continuously from an initial creation, alternating dark and light colors. Written by J. Tarbell and Emilio Del Tessandoro.
StartupNotify=false
Terminal=false
Type=Application
Categories=Screensaver;
OnlyShowIn=MATE;
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