diff --git a/docs/src/bin/keyfork/wizard/index.md b/docs/src/bin/keyfork/wizard/index.md
index 7596a12..68fc6e8 100644
--- a/docs/src/bin/keyfork/wizard/index.md
+++ b/docs/src/bin/keyfork/wizard/index.md
@@ -12,9 +12,40 @@ This command will <b>factory-reset</b> any smart cards plugged into the system.
 It is recommended to use smart cards dedicated to the purpose of seed recovery.
 </div>
 
+### Cryptography Usage
+
+This command makes use of the following cryptographic concepts at the following
+steps:
+
+1. 256 bits of entropy are loaded from the system's secure entropy source.
+2. The entropy is then converted to a [BIP-0032] seed by applying the
+   HmacSha512 function to the entropy. This creates 512 bits of data, where the
+   first 256 bits are considered the "seed" and the last 256 bits are
+   considered the root key's "chain code".
+3. The seed is then derived using BIP-0032 along the path `m / pgp' / shrd' /
+   index'`, where the values "pgp" and "shrd" converted to bytes and cast to a
+   32 bit integer, and the "index" is a numeric iterator `0..max`. BIP-0032
+   uses HmacSha512 with the "chain code" of the previous depth, the private-key
+   bytes of the current extended private key, and the index, to derive a new
+   extended private key and a new chain code.
+4. For each seed, four subkeys are also derived using the above mechanism, and
+   converted to an OpenPGP certificate using Ed25519 for signing keys and
+   Curve25519 for encryption keys - this transformation is done without any
+   modification of the underlying key data, it is a transformation of their
+   encoding.
+5. The original entropy is then split using Shamir's Secret Sharing configured
+   with the values `threshold` and `max`. The share are referred to in
+   documentation as "shards".
+6. The shards are each concatenated with some metadata (two bytes: the metadata
+   version and the `threshold` value) and encrypted to the previously-generated
+   Curve25519 OpenPGP key.
+7. The OpenPGP certificates are serialized to a vector of bytes and encrypted
+   to every shardholder's Curve25519 OpenPGP encryption key.
+8. All shards are written to the output file or standard output.
+
 ### Arguments
 
-`keyfork wizard generate-shard-secret --threshold=1 --max=3 --keys-per-shard=1`
+`keyfork wizard generate-shard-secret --threshold=1 --max=3 --keys-per-shard=1 --output=shards.pgp`
 
 * `threshold`: The minimum amount of shardholders needed to recover the
   secret.
@@ -30,4 +61,5 @@ shardholder.
 
 ### Output
 
-An OpenPGP-encrypted Shard file.
+An OpenPGP-encrypted Shard file, if not previously configured to be written to
+a file using `--output`.