diff --git a/ecdsa/src/lib.rs b/ecdsa/src/lib.rs
index 5c10e46b..6a211de5 100644
--- a/ecdsa/src/lib.rs
+++ b/ecdsa/src/lib.rs
@@ -179,7 +179,7 @@ pub type SignatureSize<C> = <FieldBytesSize<C> as Add>::Output;
 /// Fixed-size byte array containing an ECDSA signature
 pub type SignatureBytes<C> = Array<u8, SignatureSize<C>>;
 
-/// ECDSA signature (fixed-size). Generic over elliptic curve types.
+/// ECDSA signature (fixed-size, a.k.a. [IEEE P1363]). Generic over elliptic curve types.
 ///
 /// Serialized as fixed-sized big endian scalar values with no added framing:
 ///
@@ -203,6 +203,8 @@ pub type SignatureBytes<C> = Array<u8, SignatureSize<C>>;
 ///
 /// The serialization uses a hexadecimal encoding when used with
 /// "human readable" text formats, and a binary encoding otherwise.
+///
+/// [IEEE P1363]: https://en.wikipedia.org/wiki/IEEE_P1363
 #[derive(Clone, Eq, PartialEq)]
 pub struct Signature<C: EcdsaCurve> {
     r: ScalarPrimitive<C>,
diff --git a/ecdsa/src/signing.rs b/ecdsa/src/signing.rs
index 0df9c777..7be7dee6 100644
--- a/ecdsa/src/signing.rs
+++ b/ecdsa/src/signing.rs
@@ -46,10 +46,9 @@ use {crate::VerifyingKey, elliptic_curve::PublicKey, signature::KeypairRef};
 use elliptic_curve::pkcs8::{EncodePrivateKey, SecretDocument};
 
 /// ECDSA secret key used for signing. Generic over prime order elliptic curves
-/// (e.g. NIST P-curves)
+/// (e.g. NIST P-curves).
 ///
-/// Requires an [`elliptic_curve::CurveArithmetic`] impl on the curve, and a
-/// [`SignPrimitive`] impl on its associated `Scalar` type.
+/// Requires an [`elliptic_curve::CurveArithmetic`] impl on the curve.
 ///
 /// ## Usage
 ///
diff --git a/ecdsa/src/verifying.rs b/ecdsa/src/verifying.rs
index a3147680..3b0cc8ec 100644
--- a/ecdsa/src/verifying.rs
+++ b/ecdsa/src/verifying.rs
@@ -52,10 +52,9 @@ use elliptic_curve::pkcs8::EncodePublicKey;
 use serdect::serde::{de, ser, Deserialize, Serialize};
 
 /// ECDSA public key used for verifying signatures. Generic over prime order
-/// elliptic curves (e.g. NIST P-curves)
+/// elliptic curves (e.g. NIST P-curves).
 ///
-/// Requires an [`elliptic_curve::CurveArithmetic`] impl on the curve, and a
-/// [`VerifyPrimitive`] impl on its associated `AffinePoint` type.
+/// Requires an [`elliptic_curve::CurveArithmetic`] impl on the curve.
 ///
 /// ## Usage
 ///