[CentOS] question on compatibility and ldd

I have a number of programs I wrote on Centos 5 (x86_64) and for one of 
the programs I do

ldd programX
        linux-vdso.so.1 =>  (0x00007fff2cb86000)
        libpthread.so.0 => /lib64/libpthread.so.0 (0x0000003528600000)
        libm.so.6 => /lib64/libm.so.6 (0x0000003527e00000)
        libxml2.so.2 => /usr/lib64/libxml2.so.2 (0x0000003531400000)
        libz.so.1 => /usr/lib64/libz.so.1 (0x0000003528a00000)
        libc.so.6 => /lib64/libc.so.6 (0x0000003527a00000)
        /lib64/ld-linux-x86-64.so.2 (0x0000003527600000)
        libdl.so.2 => /lib64/libdl.so.2 (0x0000003528200000)

On C6 I do the same thing and the numbers in (Y) might change but 
everything else is the same
for libraries.

Is it safe to assume then that if I switch to C6 and recompile my program
and then put the C6 version on all my C5 systems (updates that kind of 
thing) that everything
will be compatible and run just fine.

Is that the case?

Thanks,

Jerry