/usr/share/app-install/desktop/software-center:ubuntu-software-center.desktop is in app-install-data 0.12.04.4.
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 11 12 13 14 15 16 17 18 19 | [Desktop Entry]
X-AppInstall-Package=software-center
X-AppInstall-Popcon=95149
X-AppInstall-Section=main
Name=Ubuntu Software Center
GenericName=Software Center
Comment=Lets you choose from thousands of applications available for Ubuntu
Exec=/usr/bin/software-center %u
Icon=softwarecenter
Terminal=false
Type=Application
Categories=PackageManager;GTK;System;Settings;
MimeType=application/x-deb;application/x-debian-package;x-scheme-handler/apt;
StartupNotify=true
Keywords=Sources;PPA;Install;Uninstall;Remove;Purchase;Catalogue;Store;
X-Ubuntu-Gettext-Domain=app-install-data
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