diff --git a/.changeset/empty-files-peel.md b/.changeset/empty-files-peel.md
new file mode 100644
index 000000000..0a1149e84
--- /dev/null
+++ b/.changeset/empty-files-peel.md
@@ -0,0 +1,6 @@
+---
+'@myst-theme/jupyter': patch
+'@myst-theme/site': patch
+---
+
+Upgrade to latest thebe, incorporating bug fixes and changes to saved session caching behaviour
diff --git a/package-lock.json b/package-lock.json
index 46d95bd5e..b03838d89 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -35010,9 +35010,9 @@
       "dev": true
     },
     "node_modules/thebe-core": {
-      "version": "0.4.4",
-      "resolved": "https://registry.npmjs.org/thebe-core/-/thebe-core-0.4.4.tgz",
-      "integrity": "sha512-hDSJQf1lB52BjGb4EhC/a+DQK3Pxri1IHKibYUheQIzk7+Tg9eXNheLYPhgVdgqfY1xiMOPvcQxRR296FAngTg==",
+      "version": "0.4.5",
+      "resolved": "https://registry.npmjs.org/thebe-core/-/thebe-core-0.4.5.tgz",
+      "integrity": "sha512-xHlrQSnkXD45xpTi1QILlBM2UYRsSX6n0n4IJ5XRUoLIIDRiPLqUQ2MSb+gqChkvLggKYkh/+NwoXiiNRVPqaQ==",
       "dependencies": {
         "@jupyter-widgets/base": "^6.0.6",
         "@jupyter-widgets/controls": "^5.0.7",
@@ -35037,7 +35037,7 @@
         "copy-thebe-assets": "bin/copy-thebe-assets.cjs"
       },
       "peerDependencies": {
-        "thebe-lite": "^0.4.4"
+        "thebe-lite": "^0.4.5"
       }
     },
     "node_modules/thebe-core/node_modules/nanoid": {
@@ -35058,9 +35058,9 @@
       }
     },
     "node_modules/thebe-lite": {
-      "version": "0.4.4",
-      "resolved": "https://registry.npmjs.org/thebe-lite/-/thebe-lite-0.4.4.tgz",
-      "integrity": "sha512-F+5EGi2UfL2GW/+sXG/Sk2RMkDDCfQW7im6mqbTSmART2lIhxPhcpu3eP/f/Fs8e7bfRS1j7VKer7AvVmYq6Fg==",
+      "version": "0.4.5",
+      "resolved": "https://registry.npmjs.org/thebe-lite/-/thebe-lite-0.4.5.tgz",
+      "integrity": "sha512-DBk0G/RYUk8aJKYSqRY5748OMtogP/yn4dOQuEeWb3rJufVqi26931faqibjIB+M4v4MPCoQXg2YoD3XORE7Pw==",
       "dependencies": {
         "@jupyterlab/coreutils": "^6.0.8",
         "@jupyterlite/pyodide-kernel": "0.2.0",
@@ -35071,14 +35071,14 @@
       }
     },
     "node_modules/thebe-react": {
-      "version": "0.4.4",
-      "resolved": "https://registry.npmjs.org/thebe-react/-/thebe-react-0.4.4.tgz",
-      "integrity": "sha512-I/KLGSsjekTEpkWLRe5EDrJ93EYZteeAD6bayE7RocdIc+MlZ5BDQ/wzLxwIIXxRy43FM3vON/4+TFkX/M8p4A==",
+      "version": "0.4.5",
+      "resolved": "https://registry.npmjs.org/thebe-react/-/thebe-react-0.4.5.tgz",
+      "integrity": "sha512-kWkxy0rdVhvi+eBAh8FlUqjsaVjrsbNCmsga9B6gafnMYc53PE4dwUmNrxzlmaAccePNtRV8h3kK4tY1HmypmA==",
       "dependencies": {
         "@jupyterlab/nbformat": "^3.5.0",
         "react": "^18.2.0",
         "react-dom": "^18.2.0",
-        "thebe-core": "^0.4.4"
+        "thebe-core": "^0.4.5"
       }
     },
     "node_modules/thebe-react/node_modules/@jupyterlab/nbformat": {
@@ -37946,9 +37946,9 @@
         "nbtx": "^0.2.3",
         "react-syntax-highlighter": "^15.5.0",
         "swr": "^2.1.5",
-        "thebe-core": "^0.4.4",
-        "thebe-lite": "^0.4.4",
-        "thebe-react": "^0.4.4",
+        "thebe-core": "^0.4.5",
+        "thebe-lite": "^0.4.5",
+        "thebe-react": "^0.4.5",
         "unist-util-select": "^4.0.3"
       },
       "devDependencies": {},
@@ -38142,7 +38142,7 @@
         "nbtx": "^0.2.3",
         "node-cache": "^5.1.2",
         "node-fetch": "^2.6.11",
-        "thebe-react": "^0.4.4",
+        "thebe-react": "^0.4.5",
         "unist-util-select": "^4.0.1"
       },
       "devDependencies": {
diff --git a/packages/jupyter/package.json b/packages/jupyter/package.json
index d9c956001..2f73e7cd8 100644
--- a/packages/jupyter/package.json
+++ b/packages/jupyter/package.json
@@ -39,9 +39,9 @@
     "nbtx": "^0.2.3",
     "react-syntax-highlighter": "^15.5.0",
     "swr": "^2.1.5",
-    "thebe-core": "^0.4.4",
-    "thebe-lite": "^0.4.4",
-    "thebe-react": "^0.4.4",
+    "thebe-core": "^0.4.5",
+    "thebe-lite": "^0.4.5",
+    "thebe-react": "^0.4.5",
     "unist-util-select": "^4.0.3"
   },
   "peerDependencies": {
diff --git a/packages/site/package.json b/packages/site/package.json
index 83c15f605..aa6719e21 100644
--- a/packages/site/package.json
+++ b/packages/site/package.json
@@ -33,7 +33,7 @@
     "nbtx": "^0.2.3",
     "node-cache": "^5.1.2",
     "node-fetch": "^2.6.11",
-    "thebe-react": "^0.4.4",
+    "thebe-react": "^0.4.5",
     "unist-util-select": "^4.0.1"
   },
   "peerDependencies": {