I have a 500GiB ext4 filesystem on top of LUKS on top of an LVM LV. I want to resize the LV to 100GiB. I know how to resize ext4 on top of an LVM LV, but how do I deal with the LUKS volume?

mgorven@moab:~% sudo lvdisplay /dev/moab/backup
  --- Logical volume --- 
  LV Name                /dev/moab/backup
  VG Name                moab
  LV UUID                nQ3z1J-Pemd-uTEB-fazN-yEux-nOxP-QQair5                                                                      
  LV Write Access        read/write
  LV Status              available
  # open                 1
  LV Size                500.00 GiB                                                                                                           
  Current LE             128000
  Segments               1
  Allocation             inherit
  Read ahead sectors     auto
  - currently set to     2048 
  Block device           252:3
mgorven@moab:~% sudo cryptsetup status backup
/dev/mapper/backup is active and is in use.
  type:    LUKS1
  cipher:  aes-cbc-essiv:sha256
  keysize: 256 bits
  device:  /dev/mapper/moab-backup
  offset:  3072 sectors
  size:    1048572928 sectors
  mode:    read/write
mgorven@moab:~% sudo tune2fs -l /dev/mapper/backup
tune2fs 1.42 (29-Nov-2011)
Filesystem volume name:   backup
Last mounted on:          /srv/backup
Filesystem UUID:          63877e0e-0549-4c73-8535-b7a81eb363ed
Filesystem magic number:  0xEF53
Filesystem revision #:    1 (dynamic)
Filesystem features:      has_journal ext_attr resize_inode dir_index filetype extent flex_bg sparse_super large_file huge_file uninit_bg dir_nlink extra_isize
Filesystem flags:         signed_directory_hash 
Default mount options:    (none)
Filesystem state:         clean with errors
Errors behavior:          Continue
Filesystem OS type:       Linux
Inode count:              32768000
Block count:              131071616
Reserved block count:     0
Free blocks:              112894078
Free inodes:              32044830
First block:              0
Block size:               4096
Fragment size:            4096
Reserved GDT blocks:      992
Blocks per group:         32768
Fragments per group:      32768
Inodes per group:         8192
Inode blocks per group:   512
RAID stride:              128
RAID stripe width:        128
Flex block group size:    16
Filesystem created:       Sun Mar 11 19:24:53 2012
Last mount time:          Sat May 19 13:29:27 2012
Last write time:          Fri Jun  1 11:07:22 2012
Mount count:              0
Maximum mount count:      100
Last checked:             Fri Jun  1 11:03:50 2012
Check interval:           31104000 (12 months)
Next check after:         Mon May 27 11:03:50 2013
Lifetime writes:          118 GB
Reserved blocks uid:      0 (user root)
Reserved blocks gid:      0 (group root)
First inode:              11
Inode size:               256
Required extra isize:     28
Desired extra isize:      28
Journal inode:            8
Default directory hash:   half_md4
Directory Hash Seed:      383bcbc5-fde9-4720-b98e-2d6224713ecf
Journal backup:           inode blocks