diff --git a/REUSE.toml b/REUSE.toml
index 1286474..ba81de4 100644
--- a/REUSE.toml
+++ b/REUSE.toml
@@ -7,6 +7,7 @@ path = [
     ".vscode/**/",
     ".gitignore",
     ".gitmodules",
+    "audit/**/",
     "README.md",
     "flake.lock",
     "flake.nix",
diff --git a/audit/protofire-rain.math.fixedpoint.jan-2025.pdf b/audit/protofire-rain.math.fixedpoint.jan-2025.pdf
new file mode 100644
index 0000000..a1ada5d
Binary files /dev/null and b/audit/protofire-rain.math.fixedpoint.jan-2025.pdf differ
diff --git a/flake.lock b/flake.lock
index 6c8f51a..9a12e0c 100644
--- a/flake.lock
+++ b/flake.lock
@@ -75,11 +75,11 @@
         "nixpkgs": "nixpkgs"
       },
       "locked": {
-        "lastModified": 1768892915,
-        "narHash": "sha256-2+KHmLLjUg9vNzINfGaiFNP07gKz94Af09FcefKHUuE=",
+        "lastModified": 1769324704,
+        "narHash": "sha256-aef15vEgiMEls1hTMt46rJuKNSO2cIOfiP99patq9yc=",
         "owner": "shazow",
         "repo": "foundry.nix",
-        "rev": "edf14357ad1816ac39469ae493f898200352d77d",
+        "rev": "e830409ba1bdecdc5ef9a1ec92660fc2da9bc68d",
         "type": "github"
       },
       "original": {
@@ -120,11 +120,11 @@
     },
     "nixpkgs_2": {
       "locked": {
-        "lastModified": 1768987938,
-        "narHash": "sha256-pvqBRTCRvwFM0Nm7aCQfqS0whDZ7WwoXUUTwvOXqus4=",
+        "lastModified": 1769364508,
+        "narHash": "sha256-Wy8EVYSLq5Fb/rYH3LRxAMCnW75f9hOg2562AXVFmPk=",
         "owner": "nixos",
         "repo": "nixpkgs",
-        "rev": "95d8e2129409fd37b390c966b434eee3034f75e3",
+        "rev": "6077bc4fb29be43d525984f63b69d37b9b1e62fe",
         "type": "github"
       },
       "original": {
@@ -175,11 +175,11 @@
         "solc": "solc"
       },
       "locked": {
-        "lastModified": 1768991906,
-        "narHash": "sha256-W8AgvEKkz4BWTHDK3AGwk/vvVFtIF7UtHuZI8Ecv2qI=",
+        "lastModified": 1769366341,
+        "narHash": "sha256-jeYOweTuJdKshW9lqVoNxvl4+flyRzWxEctRGabTW/8=",
         "owner": "rainprotocol",
         "repo": "rainix",
-        "rev": "5a9f13de1318b512ef118db6d0e7f9dbafe5205f",
+        "rev": "e7bfe9c39d2de818eac241f88ecabc69e86ed734",
         "type": "github"
       },
       "original": {
@@ -199,11 +199,11 @@
         "nixpkgs": "nixpkgs_3"
       },
       "locked": {
-        "lastModified": 1768963622,
-        "narHash": "sha256-n6VHiUgrYD9yjagzG6ncVVqFbVTsKCI54tR9PNAFCo0=",
+        "lastModified": 1769309768,
+        "narHash": "sha256-AbOIlNO+JoqRJkK1VrnDXhxuX6CrdtIu2hSuy4pxi3g=",
         "owner": "oxalica",
         "repo": "rust-overlay",
-        "rev": "2ef5b3362af585a83bafd34e7fc9b1f388c2e5e2",
+        "rev": "140c9dc582cb73ada2d63a2180524fcaa744fad5",
         "type": "github"
       },
       "original": {
diff --git a/foundry.lock b/foundry.lock
index 0a0b467..7404891 100644
--- a/foundry.lock
+++ b/foundry.lock
@@ -6,9 +6,9 @@
     "rev": "fcbae5394ae8ad52d8e580a3477db99814b9d565"
   },
   "lib/rain.math.saturating": {
-    "rev": "ce2d05c8be329629f8f8c1c3f052480e836361db"
+    "rev": "4575cd697c155faaab7d45b2f2197dbf2b834f4b"
   },
   "lib/rain.string": {
-    "rev": "f7ff702af4565fc962fa6ac98a787959df2c7388"
+    "rev": "488f237cd59874e4eb91b5a4f747bd57578fec7f"
   }
 }
\ No newline at end of file
diff --git a/lib/rain.math.saturating b/lib/rain.math.saturating
index ce2d05c..4575cd6 160000
--- a/lib/rain.math.saturating
+++ b/lib/rain.math.saturating
@@ -1 +1 @@
-Subproject commit ce2d05c8be329629f8f8c1c3f052480e836361db
+Subproject commit 4575cd697c155faaab7d45b2f2197dbf2b834f4b
diff --git a/lib/rain.string b/lib/rain.string
index f7ff702..488f237 160000
--- a/lib/rain.string
+++ b/lib/rain.string
@@ -1 +1 @@
-Subproject commit f7ff702af4565fc962fa6ac98a787959df2c7388
+Subproject commit 488f237cd59874e4eb91b5a4f747bd57578fec7f