Data::Dumper isn't meant for this, but it can be done.

use Data::Dumper qw( );

sub serializer {
   local $Data::Dumper::Purity   = 1;
   local $Data::Dumper::Sortkeys = 1;  # Optional, but requested
   local $Data::Dumper::Useqq    = 1;  # Optional.
   return Data::Dumper->Dump( [ $_[0] ], [qw( D )] );
}

sub deserializer {
   my $D;
   eval( $_[0] )
      or die ( $@ );

   return $D;
}

my $text = serializer( $data );
my $copy = deserializer( $text );
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[Woops, this was supposed to be a reply to the OP.]