diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 20af5512f..3881f4971 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -9,7 +9,13 @@ on:
   workflow_dispatch:
 
 env:
-  SOLVER_PKG_VERSION: "snapshot-20221212"
+  # The solver package snapshot date. If you update this, make sure to also
+  # update it in the following locations:
+  #
+  # - Dockerfile
+  # - cryptol-remote-api/Dockerfile
+  # - README.md
+  SOLVER_PKG_VERSION: "snapshot-20230711"
   # The CACHE_VERSION can be updated to force the use of a new cache if
   # the current cache contents become corrupted/invalid.  This can
   # sometimes happen when (for example) the OS version is changed but
@@ -121,7 +127,13 @@ jobs:
       - shell: bash
         run: .github/ci.sh install_system_deps
         env:
-          BIN_ZIP_FILE: ${{ matrix.os }}-bin.zip
+          # The full zip file name for a what4-solvers bindist. If you update
+          # this, make sure to also update it in the following locations:
+          #
+          # - The other BIN_ZIP_FILE in the `test` job
+          # - Dockerfile
+          # - cryptol-remote-api/Dockerfile
+          BIN_ZIP_FILE: ${{ matrix.os }}-${{ runner.arch }}-bin.zip
 
       - shell: bash
         env:
@@ -293,7 +305,13 @@ jobs:
 
       - shell: bash
         env:
-          BIN_ZIP_FILE: ${{ matrix.os }}-bin.zip
+          # The full zip file name for a what4-solvers bindist. If you update
+          # this, make sure to also update it in the following locations:
+          #
+          # - The other BIN_ZIP_FILE in the `build` job
+          # - Dockerfile
+          # - cryptol-remote-api/Dockerfile
+          BIN_ZIP_FILE: ${{ matrix.os }}-${{ runner.arch }}-bin.zip
         run: |
           set -x
           chmod +x dist/bin/cryptol
diff --git a/Dockerfile b/Dockerfile
index 21492e0d2..2f547d25e 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -14,7 +14,9 @@ USER cryptol
 WORKDIR /cryptol
 RUN mkdir -p rootfs/usr/local/bin
 WORKDIR /cryptol/rootfs/usr/local/bin
-RUN curl -o solvers.zip -sL "https://github.com/GaloisInc/what4-solvers/releases/download/snapshot-20221212/ubuntu-22.04-bin.zip"
+# The URL here is based on the same logic used to specify BIN_ZIP_FILE in
+# `.github/workflow/ci.yml`, but specialized to x86-64 Ubuntu.
+RUN curl -o solvers.zip -sL "https://github.com/GaloisInc/what4-solvers/releases/download/snapshot-20230711/ubuntu-22.04-X64-bin.zip"
 RUN unzip solvers.zip && rm solvers.zip && chmod +x *
 WORKDIR /cryptol
 ENV PATH=/cryptol/rootfs/usr/local/bin:/home/cryptol/.local/bin:/home/cryptol/.ghcup/bin:$PATH
diff --git a/README.md b/README.md
index 20ddd5709..ecaf569c9 100644
--- a/README.md
+++ b/README.md
@@ -46,7 +46,7 @@ Cryptol currently uses Microsoft Research's [Z3 SMT
 solver](https://github.com/Z3Prover/z3) by default to solve constraints
 during type checking, and as the default solver for the `:sat` and
 `:prove` commands.  Cryptol generally requires the most recent version
-of Z3, but you can see the specific version tested in CI by looking [here](https://github.com/GaloisInc/what4-solvers/releases/tag/snapshot-20221212).
+of Z3, but you can see the specific version tested in CI by looking [here](https://github.com/GaloisInc/what4-solvers/releases/tag/snapshot-20230711).
 
 You can download Z3 binaries for a variety of platforms from their
 [releases page](https://github.com/Z3Prover/z3/releases). If you
diff --git a/cryptol-remote-api/Dockerfile b/cryptol-remote-api/Dockerfile
index 08dc2159f..d3d72530c 100644
--- a/cryptol-remote-api/Dockerfile
+++ b/cryptol-remote-api/Dockerfile
@@ -64,7 +64,9 @@ ENV PATH=/usr/local/bin:/cryptol/rootfs/usr/local/bin:$PATH
 RUN mkdir -p rootfs/"${CRYPTOLPATH}" \
     && cp -r lib/* rootfs/"${CRYPTOLPATH}"
 WORKDIR /cryptol/rootfs/usr/local/bin
-RUN curl -sL -o solvers.zip "https://github.com/GaloisInc/what4-solvers/releases/download/snapshot-20221212/ubuntu-22.04-bin.zip" && \
+# The URL here is based on the same logic used to specify BIN_ZIP_FILE in
+# `.github/workflow/ci.yml`, but specialized to x86-64 Ubuntu.
+RUN curl -sL -o solvers.zip "https://github.com/GaloisInc/what4-solvers/releases/download/snapshot-20230711/ubuntu-22.04-X64-bin.zip" && \
     unzip solvers.zip && rm solvers.zip && chmod +x *
 USER root
 RUN chown -R root:root /cryptol/rootfs