diff --git a/boring/src/derive.rs b/boring/src/derive.rs
index 701d48a3..1952118d 100644
--- a/boring/src/derive.rs
+++ b/boring/src/derive.rs
@@ -51,7 +51,6 @@ impl<'a> Deriver<'a> {
     ///
     /// It can be used to size the buffer passed to [`Deriver::derive`].
     #[corresponds(EVP_PKEY_derive)]
-    /// [`EVP_PKEY_derive`]: https://www.openssl.org/docs/man1.0.2/crypto/EVP_PKEY_derive_init.html
     pub fn len(&mut self) -> Result<usize, ErrorStack> {
         unsafe {
             let mut len = 0;
diff --git a/boring/src/rsa.rs b/boring/src/rsa.rs
index 5a0ae24d..ff47e71b 100644
--- a/boring/src/rsa.rs
+++ b/boring/src/rsa.rs
@@ -413,7 +413,6 @@ impl Rsa<Public> {
     /// `n` is the modulus common to both public and private key.
     /// `e` is the public exponent.
     #[corresponds(RSA_new)]
-    /// [`RSA_set0_key`]: https://www.openssl.org/docs/man1.1.0/crypto/RSA_set0_key.html
     pub fn from_public_components(n: BigNum, e: BigNum) -> Result<Rsa<Public>, ErrorStack> {
         unsafe {
             let rsa = cvt_p(ffi::RSA_new())?;
@@ -472,7 +471,6 @@ impl RsaPrivateKeyBuilder {
     /// `n` is the modulus common to both public and private key.
     /// `e` is the public exponent and `d` is the private exponent.
     #[corresponds(RSA_new)]
-    /// [`RSA_set0_key`]: https://www.openssl.org/docs/man1.1.0/crypto/RSA_set0_key.html
     pub fn new(n: BigNum, e: BigNum, d: BigNum) -> Result<RsaPrivateKeyBuilder, ErrorStack> {
         unsafe {
             let rsa = cvt_p(ffi::RSA_new())?;
diff --git a/boring/src/ssl/async_callbacks.rs b/boring/src/ssl/async_callbacks.rs
index 93226b48..e4bdf846 100644
--- a/boring/src/ssl/async_callbacks.rs
+++ b/boring/src/ssl/async_callbacks.rs
@@ -11,7 +11,7 @@ use std::pin::Pin;
 use std::sync::LazyLock;
 use std::task::{ready, Context, Poll, Waker};
 
-/// The type of futures to pass to [`SslContextBuilderExt::set_async_select_certificate_callback`].
+/// The type of futures to pass to [`SslContextBuilder::set_async_select_certificate_callback`].
 pub type BoxSelectCertFuture = ExDataFuture<Result<BoxSelectCertFinish, AsyncSelectCertError>>;
 
 /// The type of callbacks returned by [`BoxSelectCertFuture`] methods.
@@ -25,19 +25,19 @@ pub type BoxPrivateKeyMethodFuture =
 pub type BoxPrivateKeyMethodFinish =
     Box<dyn FnOnce(&mut SslRef, &mut [u8]) -> Result<usize, AsyncPrivateKeyMethodError>>;
 
-/// The type of futures to pass to [`SslContextBuilderExt::set_async_get_session_callback`].
+/// The type of futures to pass to [`SslContextBuilder::set_async_get_session_callback`].
 pub type BoxGetSessionFuture = ExDataFuture<Option<BoxGetSessionFinish>>;
 
 /// The type of callbacks returned by [`BoxSelectCertFuture`] methods.
 pub type BoxGetSessionFinish = Box<dyn FnOnce(&mut SslRef, &[u8]) -> Option<SslSession>>;
 
-/// The type of futures to pass to [`SslContextBuilderExt::set_async_custom_verify_callback`].
+/// The type of futures to pass to [`SslContextBuilder::set_async_custom_verify_callback`].
 pub type BoxCustomVerifyFuture = ExDataFuture<Result<BoxCustomVerifyFinish, SslAlert>>;
 
 /// The type of callbacks returned by [`BoxCustomVerifyFuture`] methods.
 pub type BoxCustomVerifyFinish = Box<dyn FnOnce(&mut SslRef) -> Result<(), SslAlert>>;
 
-/// Convenience alias for futures stored in [`Ssl`] ex data by [`SslContextBuilderExt`] methods.
+/// Convenience alias for futures stored in [`Ssl`] ex data by [`SslContextBuilder`] methods.
 ///
 /// Public for documentation purposes.
 pub type ExDataFuture<T> = Pin<Box<dyn Future<Output = T> + Send>>;
@@ -123,7 +123,7 @@ impl SslContextBuilder {
     ///
     /// # Safety
     ///
-    /// The returned [`SslSession`] must not be associated with a different [`SslContext`].
+    /// The returned [`SslSession`] must not be associated with a different [`SslContextBuilder`].
     pub unsafe fn set_async_get_session_callback<F>(&mut self, callback: F)
     where
         F: Fn(&mut SslRef, &[u8]) -> Option<BoxGetSessionFuture> + Send + Sync + 'static,
diff --git a/boring/src/x509/mod.rs b/boring/src/x509/mod.rs
index 5bac50c9..b9680e65 100644
--- a/boring/src/x509/mod.rs
+++ b/boring/src/x509/mod.rs
@@ -167,11 +167,10 @@ impl X509StoreContextRef {
     /// * `cert_chain` - The certificates chain.
     /// * `with_context` - The closure that is called with the initialized context.
     ///
-    /// This corresponds to [`X509_STORE_CTX_init`] before calling `with_context` and to
-    /// [`X509_STORE_CTX_cleanup`] after calling `with_context`.
+    /// Calls [`X509_STORE_CTX_cleanup`] after calling `with_context`.
     ///
-    /// [`X509_STORE_CTX_init`]:  https://www.openssl.org/docs/man1.0.2/crypto/X509_STORE_CTX_init.html
     /// [`X509_STORE_CTX_cleanup`]:  https://www.openssl.org/docs/man1.0.2/crypto/X509_STORE_CTX_cleanup.html
+    #[corresponds(X509_STORE_CTX_init)]
     pub fn init<F, T>(
         &mut self,
         trust: &store::X509StoreRef,
@@ -1287,10 +1286,7 @@ pub struct X509ReqBuilder(X509Req);
 
 impl X509ReqBuilder {
     /// Returns a builder for a certificate request.
-    ///
-    /// This corresponds to [`X509_REQ_new`].
-    ///
-    ///[`X509_REQ_new`]: https://www.openssl.org/docs/man1.1.0/crypto/X509_REQ_new.html
+    #[corresponds(X509_REQ_new)]
     pub fn new() -> Result<X509ReqBuilder, ErrorStack> {
         unsafe {
             ffi::init();
@@ -1299,10 +1295,7 @@ impl X509ReqBuilder {
     }
 
     /// Set the numerical value of the version field.
-    ///
-    /// This corresponds to [`X509_REQ_set_version`].
-    ///
-    ///[`X509_REQ_set_version`]: https://www.openssl.org/docs/man1.1.0/crypto/X509_REQ_set_version.html
+    #[corresponds(X509_REQ_set_version)]
     pub fn set_version(&mut self, version: i32) -> Result<(), ErrorStack> {
         unsafe { cvt(ffi::X509_REQ_set_version(self.0.as_ptr(), version.into())).map(|_| ()) }
     }
@@ -1460,10 +1453,7 @@ impl X509ReqRef {
     }
 
     /// Returns the public key of the certificate request.
-    ///
-    /// This corresponds to [`X509_REQ_get_pubkey"]
-    ///
-    /// [`X509_REQ_get_pubkey`]: https://www.openssl.org/docs/man1.1.0/crypto/X509_REQ_get_pubkey.html
+    #[corresponds(X509_REQ_get_pubkey)]
     pub fn public_key(&self) -> Result<PKey<Public>, ErrorStack> {
         unsafe {
             let key = cvt_p(ffi::X509_REQ_get_pubkey(self.as_ptr()))?;
@@ -1474,10 +1464,7 @@ impl X509ReqRef {
     /// Check if the certificate request is signed using the given public key.
     ///
     /// Returns `true` if verification succeeds.
-    ///
-    /// This corresponds to [`X509_REQ_verify"].
-    ///
-    /// [`X509_REQ_verify`]: https://www.openssl.org/docs/man1.1.0/crypto/X509_REQ_verify.html
+    #[corresponds(X509_REQ_verify)]
     pub fn verify<T>(&self, key: &PKeyRef<T>) -> Result<bool, ErrorStack>
     where
         T: HasPublic,
@@ -1486,8 +1473,7 @@ impl X509ReqRef {
     }
 
     /// Returns the extensions of the certificate request.
-    ///
-    /// This corresponds to [`X509_REQ_get_extensions"]
+    #[corresponds(X509_REQ_get_extensions)]
     pub fn extensions(&self) -> Result<Stack<X509Extension>, ErrorStack> {
         unsafe {
             let extensions = cvt_p(ffi::X509_REQ_get_extensions(self.as_ptr()))?;