diff --git a/doc/src/SUMMARY.md b/doc/src/SUMMARY.md
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@@ -15,3 +15,4 @@
 - [Challenges](./challenges.md)
   - [Core Transmutation](./challenges/0001-core-transmutation.md)
   - [Memory safety of core intrinsics](./challenges/0002-intrinsics-memory.md)
+  - [Pointer Arithmetic](./challenges/0003-pointer-arithmentic.md)
diff --git a/doc/src/challenges/0003-pointer-arithmentic.md b/doc/src/challenges/0003-pointer-arithmentic.md
new file mode 100644
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@@ -0,0 +1,107 @@
+# Challenge 3: Verifying Raw Pointer Arithmetic Operations
+
+- **Status:** Open
+- **Solution:**
+- **Tracking Issue:** <https://github.com/model-checking/verify-rust-std/issues/21>
+- **Start date:** 24/06/24
+- **End date:** 24/12/10
+
+-------------------
+
+
+## Goal
+
+The goal of this challenge is to verify safety of code that relies on raw pointer arithmetic, and eventual
+raw pointer access.
+
+## Motivation
+
+Raw pointer arithmetic is a common operation employed in the implementation of highly optimized code,
+as well as containers with dynamic size.
+Examples of the former are `str::repeat`, `[u8]::is_ascii`,
+while for the latter we have `Vec`, `VecDeque`, `HashMap`.
+
+These unsafe operations are usually abstracted from the end user with the usage of
+[safe abstractions](https://doc.rust-lang.org/beta/book/ch19-01-unsafe-rust.html#creating-a-safe-abstraction-over-unsafe-code).
+However, bugs in these abstractions may compromise entire applications, potentially becoming a security concern.
+See [CVE-2018-1000810](https://www.cvedetails.com/cve/CVE-2018-1000810/) for an example of an issue with an
+optimization of `str::repeat`.
+
+These safe abstractions are great candidates for software verification.
+They are critical for Rust applications safety, and they are modular by design.
+
+## Description
+
+Rust provides different options for pointer arithmetic, which have different semantics when it comes to safety.
+For example, methods such as [`ptr::offset`](https://doc.rust-lang.org/std/primitive.pointer.html#method.offset),
+[`ptr::add`](https://doc.rust-lang.org/std/primitive.pointer.html#method.add),
+and [`ptr::sub`](https://doc.rust-lang.org/std/primitive.pointer.html#method.sub)
+are unsafe, and one of their safety conditions is that:
+> - Both the starting and resulting pointer must be either in bounds or one byte past the end of the same allocated object.
+
+I.e., violating this safety condition triggers immediate UB.
+
+On the other hand, wrapping operations such as
+[`ptr::wrapping_offset`](https://doc.rust-lang.org/std/primitive.pointer.html#method.wrapping_offset),
+[`ptr::wrapping_add`](https://doc.rust-lang.org/std/primitive.pointer.html#method.wrapping_add),
+[`ptr::wrapping_sub`](https://doc.rust-lang.org/std/primitive.pointer.html#method.wrapping_sub),
+are safe, however, the resulting pointer must not be used to read or write other allocated objects.
+
+Thus, we would like to be able to verify usage of these different methods within the standard library
+to ensure they are safely employed,
+as well as provide function contracts that can be used by other Rust crates to verify their own usage of these methods.
+
+### Assumptions
+
+For this challenge, we do not require a full proof that is independent of the pointee type `T`.
+Instead, we require that the verification is done for the following pointee types:
+1. All integer types.
+2. At least one `dyn Trait`.
+3. At least one slice.
+4. For unit type.
+5. At least one composite type with multiple non-ZST fields.
+
+### Success Criteria
+
+All the following unsafe functions must be annotated with safety contracts and the contracts have been verified:
+
+| Function                    | Location |
+|-----------------------------|----------|
+| *const T::add              | core::ptr       |
+| *const T::sub              | core::ptr       |
+| *const T::offset           | core::ptr       |
+| *const T::offset_from      | core::ptr       |
+| *const T::byte_add         | core::ptr       |
+| *const T::byte_sub         | core::ptr       |
+| *const T::byte_offset      | core::ptr       |
+| *const T::byte_offset_from | core::ptr       |
+| *mut T::add              | core::ptr       |
+| *mut T::sub              | core::ptr       |
+| *mut T::offset           | core::ptr       |
+| *mut T::offset_from      | core::ptr       |
+| *mut T::byte_add         | core::ptr       |
+| *mut T::byte_sub         | core::ptr       |
+| *mut T::byte_offset      | core::ptr       |
+| *mut T::byte_offset_from | core::ptr       |
+
+At least 3 of the following usages were proven safe:
+
+| Function          | Location      |
+|-------------------|---------------|
+| \[u8\]::is_asc_ii | core::slice   |
+| String::remove    | alloc::string |
+ | Vec::swap_remove | alloc::vec |
+ | Option::as_slice | core::option |
+ | VecDeque::swap   | collections::vec_deque |
+
+All proofs must automatically ensure the absence of the following undefined behaviors [ref](https://github.com/rust-lang/reference/blob/142b2ed77d33f37a9973772bd95e6144ed9dce43/src/behavior-considered-undefined.md):
+
+- Accessing (loading from or storing to) a place that is dangling or based on a misaligned pointer.
+- Performing a place projection that violates the requirements of in-bounds pointer arithmetic.
+A place projection is a field expression, a tuple index expression, or an array/slice index expression.
+- Invoking undefined behavior via compiler intrinsics.
+- Producing an invalid value, even in private fields and locals.
+
+Note: All solutions to verification challenges need to satisfy the criteria established in the [challenge book](../general-rules.md)
+in addition to the ones listed above.
+