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Don't strip the leading zeroes
off=${1:-30}
ls -r ANI_WFMASS_PIST*.gif |
while IFS='T.' read -r f num t
do
new=$(printf '%05d' "$((10#$num + off))")
echo mv "${f}T$num.$t" "${f}T$new.$t"...

Good idea. It works just fine with ksh. But note that it fails with bash if there are any leading 0s since bash will interpret a numeric string starting with 0 as octal instead of decimal.

If...

It isn't just 10 and 11 that have a problem. Note that 12 through 16 are converted to 40 through 44 instead of 42 through 46, respectively.

Some shells interpret num as octal when there is a leading zero.
But obviously 10#num gives syntax error.
I have corrected my post to 10#$num.
Works in any Posix shell including ksh,bash,zsh.

Although $((10#$num + $off)) does what we want for this script in bash, ksh, and zsh, the recognition of 10# (and 8# and 16#) is not mentioned in the POSIX standards; so there is no guarantee that it...

This can be done only using shell built-ins (except for the ls and mv commands). Note that it uses a reverse order ls to move the highest numbered files first in case moving a lowered numbered file...