diff --git a/README.md b/README.md
index f045495..7b3159a 100644
--- a/README.md
+++ b/README.md
@@ -611,8 +611,10 @@ Phase 3: SRP + auth
 - [ ] `beginLogin(email, password)` returning a `LoginChallenge`
 - [ ] `requestEmailOTP` and `submitEmailOTP` for accounts without SRP
 - [ ] `submitTOTP(sessionID, code)`
-- [ ] `unwrapAuth(response, password)` returning master key, secret key, public
-      key, and decrypted token
+- [x] `unwrapAuth(response, password)` returning master key, secret key, public
+      key, and decrypted token (URL-safe-no-padding base64)
+- [x] `src/auth/types.ts` with `KeyAttributes`, `SRPAttributes`,
+      `AuthorizationResponse`, and `LoginChallenge`
 - [ ] Tests against recorded HTTP fixtures
 
 Phase 4: HTTP client + endpoints
diff --git a/src/auth/unwrap.ts b/src/auth/unwrap.ts
index 78ca171..1a894df 100644
--- a/src/auth/unwrap.ts
+++ b/src/auth/unwrap.ts
@@ -1,17 +1,64 @@
-// Stub: see the README "Development workflow" section for TDD policy.
-
+import {
+    decryptBox,
+    decryptSealed,
+    deriveKEK,
+    fromBase64,
+    toBase64URL,
+} from "../crypto/index.js";
 import type { AuthorizationResponse } from "./types.js";
 
 export interface UnwrapResult {
     masterKey: Uint8Array;
     secretKey: Uint8Array;
     publicKey: Uint8Array;
+    // URL-safe-no-padding base64 of the decrypted token bytes; this is the
+    // exact value to put in the X-Auth-Token header on subsequent calls.
     token: string;
 }
 
+// Given a successful AuthorizationResponse and the user's password,
+// derive the KEK, decrypt the master key, decrypt the secret key, and
+// open the sealed auth token. See test/auth/unwrap.test.ts for the
+// complete protocol description.
 export const unwrapAuth = async (
-    _response: AuthorizationResponse,
-    _password: string,
+    response: AuthorizationResponse,
+    password: string,
 ): Promise<UnwrapResult> => {
-    throw new Error("auth.unwrapAuth not implemented");
+    if (!response.keyAttributes) {
+        throw new Error(
+            "unwrapAuth: response.keyAttributes is required (login may be incomplete: TOTP or passkey pending)",
+        );
+    }
+    if (!response.encryptedToken) {
+        throw new Error(
+            "unwrapAuth: response.encryptedToken is required (login may be incomplete: TOTP or passkey pending)",
+        );
+    }
+
+    const ka = response.keyAttributes;
+    const kek = await deriveKEK(
+        password,
+        fromBase64(ka.kekSalt),
+        ka.opsLimit,
+        ka.memLimit,
+    );
+    const masterKey = decryptBox(
+        fromBase64(ka.encryptedKey),
+        fromBase64(ka.keyDecryptionNonce),
+        kek,
+    );
+    const secretKey = decryptBox(
+        fromBase64(ka.encryptedSecretKey),
+        fromBase64(ka.secretKeyDecryptionNonce),
+        masterKey,
+    );
+    const publicKey = fromBase64(ka.publicKey);
+    const tokenBytes = decryptSealed(
+        fromBase64(response.encryptedToken),
+        publicKey,
+        secretKey,
+    );
+    const token = toBase64URL(tokenBytes);
+
+    return { masterKey, secretKey, publicKey, token };
 };
diff --git a/src/index.ts b/src/index.ts
index 2e47a88..073f505 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -1 +1,9 @@
 export const VERSION = "0.0.0";
+
+export { unwrapAuth, type UnwrapResult } from "./auth/unwrap.js";
+export type {
+    AuthorizationResponse,
+    KeyAttributes,
+    LoginChallenge,
+    SRPAttributes,
+} from "./auth/types.js";