diff --git a/peps/pep-0751.rst b/peps/pep-0751.rst
index 3655ad44cd4..a729a4a2512 100644
--- a/peps/pep-0751.rst
+++ b/peps/pep-0751.rst
@@ -98,7 +98,7 @@ internal lock file format.
 Lock files can be *single-use* and *multi-use*. Single-use lock files are things
 like ``requirements.txt`` files, which serve a single use-case/purpose (hence
 why it isn't uncommon for a project to have multiple requirements files, each
-for a diffetent use-case). Multi-use lock files represent multiple use-cases
+for a different use-case). Multi-use lock files represent multiple use-cases
 within a single file, often expressed through
 :ref:`extras <packaging:core-metadata-provides-extra>` and
 :ref:`packaging:dependency-groups`. As such, this PEP supports additions to
@@ -540,7 +540,7 @@ See ``packages.vcs.subdirectory``.
   `software bill of materials`_ -- aka SBOMs -- and to assist in finding a file
   if a URL ceases to be valid.
 - Tools MAY support installing from an index if the URL recorded for a specific
-  file is no longer vaild (e.g. returns a 404 HTTP error code).
+  file is no longer valid (e.g. returns a 404 HTTP error code).
 
 
 ``[packages.sdist]``
@@ -662,8 +662,8 @@ See ``packages.archive.hashes``.
   :ref:`packaging:index-hosted-attestations`.
 
 
-``packages.attestation-identites.kind``
-'''''''''''''''''''''''''''''''''''''''
+``packages.attestation-identities.kind``
+''''''''''''''''''''''''''''''''''''''''
 
 - **Type**: string
 - **Required?**: yes
@@ -702,7 +702,7 @@ Additions to marker expression syntax
 
 This PEP proposes adding to the
 :ref:`packaging:dependency-specifiers-environment-markers` specification such
-that extras and dependency group reliationships for an entry in ``[[packages]]``
+that extras and dependency group relationships for an entry in ``[[packages]]``
 can be expressed in ``packages.marker``. The additions outlined in this PEP
 ONLY apply in the context of lock files as defined by this PEP and not in other
 contexts where marker syntax is used (e.g. ``METADATA``, ``pyproject.toml``).
@@ -713,7 +713,7 @@ been requested to be installed, respectively.
 
 Second, the marker specification will be changed to allow for containers and not
 just strings for values. ONLY the new markers introduced in this PEP MAY and
-MUST must be used with a :py:class:`collections.abc.Container` type for their
+MUST be used with a :py:class:`collections.abc.Container` type for their
 value (which default to empty containers). An assumption of the type of
 container used MUST NOT be made (e.g. could be a set, list, or tuple).
 
@@ -994,7 +994,7 @@ Reference Implementation
 
 A proof-of-concept implementing most of this PEP for various versions
 of this PEP can be found at
-https://github.com/brettcannon/mousebender/tree/pep . While the various
+https://github.com/brettcannon/mousebender/tree/pep. While the various
 implementations have not matched the exact format of this PEP, the general
 semantic requirements have been implemented before.