diff --git a/src/crypto/ecdh/ecdh.go b/src/crypto/ecdh/ecdh.go
index 74420559b5..b86f521787 100644
--- a/src/crypto/ecdh/ecdh.go
+++ b/src/crypto/ecdh/ecdh.go
@@ -16,7 +16,11 @@ import (
 )
 
 type Curve interface {
-	// GenerateKey generates a new PrivateKey from rand.
+	// GenerateKey generates a random PrivateKey.
+	//
+	// Most applications should use [crypto/rand.Reader] as rand. Note that the
+	// returned key does not depend deterministically on the bytes read from rand,
+	// and may change between calls and/or between versions.
 	GenerateKey(rand io.Reader) (*PrivateKey, error)
 
 	// NewPrivateKey checks that key is valid and returns a PrivateKey.
diff --git a/src/crypto/ecdsa/ecdsa.go b/src/crypto/ecdsa/ecdsa.go
index 1c93cefdbf..e1503779ae 100644
--- a/src/crypto/ecdsa/ecdsa.go
+++ b/src/crypto/ecdsa/ecdsa.go
@@ -150,7 +150,11 @@ func (priv *PrivateKey) Sign(rand io.Reader, digest []byte, opts crypto.SignerOp
 	return SignASN1(rand, priv, digest)
 }
 
-// GenerateKey generates a public and private key pair.
+// GenerateKey generates a new ECDSA private key for the specified curve.
+//
+// Most applications should use [crypto/rand.Reader] as rand. Note that the
+// returned key does not depend deterministically on the bytes read from rand,
+// and may change between calls and/or between versions.
 func GenerateKey(c elliptic.Curve, rand io.Reader) (*PrivateKey, error) {
 	randutil.MaybeReadByte(rand)
 
@@ -245,6 +249,10 @@ var errNoAsm = errors.New("no assembly implementation available")
 // using the private key, priv. If the hash is longer than the bit-length of the
 // private key's curve order, the hash will be truncated to that length. It
 // returns the ASN.1 encoded signature.
+//
+// The signature is randomized. Most applications should use [crypto/rand.Reader]
+// as rand. Note that the returned signature does not depend deterministically on
+// the bytes read from rand, and may change between calls and/or between versions.
 func SignASN1(rand io.Reader, priv *PrivateKey, hash []byte) ([]byte, error) {
 	randutil.MaybeReadByte(rand)
 
diff --git a/src/crypto/ed25519/ed25519.go b/src/crypto/ed25519/ed25519.go
index 32a8d9e86c..1dda9e5e9a 100644
--- a/src/crypto/ed25519/ed25519.go
+++ b/src/crypto/ed25519/ed25519.go
@@ -76,7 +76,7 @@ func (priv PrivateKey) Seed() []byte {
 	return bytes.Clone(priv[:SeedSize])
 }
 
-// Sign signs the given message with priv. rand is ignored.
+// Sign signs the given message with priv. rand is ignored and can be nil.
 //
 // If opts.HashFunc() is [crypto.SHA512], the pre-hashed variant Ed25519ph is used
 // and message is expected to be a SHA-512 hash, otherwise opts.HashFunc() must
@@ -132,6 +132,9 @@ func (o *Options) HashFunc() crypto.Hash { return o.Hash }
 
 // GenerateKey generates a public/private key pair using entropy from rand.
 // If rand is nil, [crypto/rand.Reader] will be used.
+//
+// The output of this function is deterministic, and equivalent to reading
+// [SeedSize] bytes from rand, and passing them to [NewKeyFromSeed].
 func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) {
 	if rand == nil {
 		rand = cryptorand.Reader
diff --git a/src/crypto/rsa/pkcs1v15.go b/src/crypto/rsa/pkcs1v15.go
index 489555358d..55fea1ab93 100644
--- a/src/crypto/rsa/pkcs1v15.go
+++ b/src/crypto/rsa/pkcs1v15.go
@@ -31,7 +31,10 @@ type PKCS1v15DecryptOptions struct {
 //
 // The random parameter is used as a source of entropy to ensure that
 // encrypting the same message twice doesn't result in the same
-// ciphertext.
+// ciphertext. Most applications should use [crypto/rand.Reader]
+// as random. Note that the returned ciphertext does not depend
+// deterministically on the bytes read from random, and may change
+// between calls and/or between versions.
 //
 // WARNING: use of this function to encrypt plaintexts other than
 // session keys is dangerous. Use RSA OAEP in new protocols.
@@ -79,7 +82,7 @@ func EncryptPKCS1v15(random io.Reader, pub *PublicKey, msg []byte) ([]byte, erro
 }
 
 // DecryptPKCS1v15 decrypts a plaintext using RSA and the padding scheme from PKCS #1 v1.5.
-// The random parameter is legacy and ignored, and it can be as nil.
+// The random parameter is legacy and ignored, and it can be nil.
 //
 // Note that whether this function returns an error or not discloses secret
 // information. If an attacker can cause this function to run repeatedly and
@@ -275,7 +278,7 @@ var hashPrefixes = map[crypto.Hash][]byte{
 // function. If hash is zero, hashed is signed directly. This isn't
 // advisable except for interoperability.
 //
-// The random parameter is legacy and ignored, and it can be as nil.
+// The random parameter is legacy and ignored, and it can be nil.
 //
 // This function is deterministic. Thus, if the set of possible
 // messages is small, an attacker may be able to build a map from
diff --git a/src/crypto/rsa/pss.go b/src/crypto/rsa/pss.go
index f7d23b55ef..3a377cc9db 100644
--- a/src/crypto/rsa/pss.go
+++ b/src/crypto/rsa/pss.go
@@ -285,7 +285,17 @@ var invalidSaltLenErr = errors.New("crypto/rsa: PSSOptions.SaltLength cannot be
 // digest must be the result of hashing the input message using the given hash
 // function. The opts argument may be nil, in which case sensible defaults are
 // used. If opts.Hash is set, it overrides hash.
+//
+// The signature is randomized depending on the message, key, and salt size,
+// using bytes from rand. Most applications should use [crypto/rand.Reader] as
+// rand.
 func SignPSS(rand io.Reader, priv *PrivateKey, hash crypto.Hash, digest []byte, opts *PSSOptions) ([]byte, error) {
+	// Note that while we don't commit to deterministic execution with respect
+	// to the rand stream, we also don't apply MaybeReadByte, so per Hyrum's Law
+	// it's probably relied upon by some. It's a tolerable promise because a
+	// well-specified number of random bytes is included in the signature, in a
+	// well-specified way.
+
 	if boring.Enabled && rand == boring.RandReader {
 		bkey, err := boringPrivateKey(priv)
 		if err != nil {
diff --git a/src/crypto/rsa/rsa.go b/src/crypto/rsa/rsa.go
index 88e44508cd..f0aef1f542 100644
--- a/src/crypto/rsa/rsa.go
+++ b/src/crypto/rsa/rsa.go
@@ -263,8 +263,11 @@ func (priv *PrivateKey) Validate() error {
 	return nil
 }
 
-// GenerateKey generates an RSA keypair of the given bit size using the
-// random source random (for example, crypto/rand.Reader).
+// GenerateKey generates a random RSA private key of the given bit size.
+//
+// Most applications should use [crypto/rand.Reader] as rand. Note that the
+// returned key does not depend deterministically on the bytes read from rand,
+// and may change between calls and/or between versions.
 func GenerateKey(random io.Reader, bits int) (*PrivateKey, error) {
 	return GenerateMultiPrimeKey(random, 2, bits)
 }
@@ -500,6 +503,7 @@ func encrypt(pub *PublicKey, plaintext []byte) ([]byte, error) {
 //
 // The random parameter is used as a source of entropy to ensure that
 // encrypting the same message twice doesn't result in the same ciphertext.
+// Most applications should use [crypto/rand.Reader] as random.
 //
 // The label parameter may contain arbitrary data that will not be encrypted,
 // but which gives important context to the message. For example, if a given
@@ -510,6 +514,12 @@ func encrypt(pub *PublicKey, plaintext []byte) ([]byte, error) {
 // The message must be no longer than the length of the public modulus minus
 // twice the hash length, minus a further 2.
 func EncryptOAEP(hash hash.Hash, random io.Reader, pub *PublicKey, msg []byte, label []byte) ([]byte, error) {
+	// Note that while we don't commit to deterministic execution with respect
+	// to the random stream, we also don't apply MaybeReadByte, so per Hyrum's
+	// Law it's probably relied upon by some. It's a tolerable promise because a
+	// well-specified number of random bytes is included in the ciphertext, in a
+	// well-specified way.
+
 	if err := checkPub(pub); err != nil {
 		return nil, err
 	}
@@ -691,7 +701,7 @@ func decrypt(priv *PrivateKey, ciphertext []byte, check bool) ([]byte, error) {
 // Encryption and decryption of a given message must use the same hash function
 // and sha256.New() is a reasonable choice.
 //
-// The random parameter is legacy and ignored, and it can be as nil.
+// The random parameter is legacy and ignored, and it can be nil.
 //
 // The label parameter must match the value given when encrypting. See
 // EncryptOAEP for details.