diff --git a/risc0-selective-privacy-poc/core/src/account.rs b/risc0-selective-privacy-poc/core/src/account.rs
index c4da8dd..7bf9c5a 100644
--- a/risc0-selective-privacy-poc/core/src/account.rs
+++ b/risc0-selective-privacy-poc/core/src/account.rs
@@ -4,6 +4,8 @@ use risc0_zkvm::{
 };
 use serde::{Deserialize, Serialize};
 
+pub type Commitment = u32;
+
 #[derive(Clone, Debug, Serialize, Deserialize, PartialEq, Eq)]
 pub struct Account {
     pub address: [u32; 8],
@@ -30,9 +32,9 @@ impl Account {
         }
     }
 
-    /// Returns Hash(Account)
-    pub fn commitment(&self) -> [u32; 8] {
-        hash(&to_vec(&self).unwrap())
+    /// Returns Hash(Account)[0] (only first word for this POC)
+    pub fn commitment(&self) -> Commitment {
+        hash(&to_vec(&self).unwrap())[0]
     }
 }
 
@@ -41,14 +43,14 @@ pub fn hash(bytes: &[u32]) -> [u32; 8] {
 }
 
 /// Dummy implementation
-pub fn is_in_commitment_tree(_commitment: [u32; 8], _tree_root: [u32; 8]) -> bool {
+pub fn is_in_commitment_tree(_commitment: Commitment, _tree_root: [u32; 8]) -> bool {
     true
 }
 
 /// Returns Hash(Commitment || private_key)
-pub fn compute_nullifier(commitment: &[u32; 8], private_key: &[u32; 8]) -> [u32; 8] {
-    let mut bytes_to_hash = [0; 16];
-    bytes_to_hash[..8].copy_from_slice(commitment);
-    bytes_to_hash[8..].copy_from_slice(private_key);
+pub fn compute_nullifier(commitment: &Commitment, private_key: &[u32; 8]) -> [u32; 8] {
+    let mut bytes_to_hash = [0; 9]; // <- 1 word for the commitment, 8 words for the private key
+    bytes_to_hash[..1].copy_from_slice(&[*commitment]);
+    bytes_to_hash[1..].copy_from_slice(private_key);
     hash(&bytes_to_hash)
 }
diff --git a/risc0-selective-privacy-poc/src/private_execution.rs b/risc0-selective-privacy-poc/src/private_execution.rs
index 65e1a97..fae0ed6 100644
--- a/risc0-selective-privacy-poc/src/private_execution.rs
+++ b/risc0-selective-privacy-poc/src/private_execution.rs
@@ -1,7 +1,10 @@
 use outer_methods::{OUTER_ELF, OUTER_ID};
 use rand::{rngs::OsRng, Rng};
 use risc0_zkvm::{default_prover, ExecutorEnv, Receipt};
-use toy_example_core::{account::Account, input::InputVisibiility};
+use toy_example_core::{
+    account::{Account, Commitment},
+    input::InputVisibiility,
+};
 use transfer_methods::{TRANSFER_ELF, TRANSFER_ID};
 
 const COMMITMENT_TREE_ROOT: [u32; 8] = [0xdd, 0xee, 0xaa, 0xdd, 0xbb, 0xee, 0xee, 0xff];
@@ -46,6 +49,8 @@ fn run_private_execution_of_transfer_program() {
     ];
 
     let num_inputs: u32 = inputs_outputs.len() as u32 / 2;
+
+    // Sample fresh random nonces for the outputs of this execution
     let output_nonces: Vec<_> = (0..num_inputs).map(|_| new_random_nonce()).collect();
     println!("output nonces {output_nonces:?}");
 
@@ -70,7 +75,7 @@ fn run_private_execution_of_transfer_program() {
     // Sanity check
     receipt.verify(OUTER_ID).unwrap();
 
-    let output: (Vec<Account>, Vec<[u32; 8]>, Vec<[u32; 8]>) = receipt.journal.decode().unwrap();
+    let output: (Vec<Account>, Vec<[u32; 8]>, Vec<Commitment>) = receipt.journal.decode().unwrap();
     println!("public_outputs: {:?}", output.0);
     println!("nullifiers: {:?}", output.1);
     println!("commitments: {:?}", output.2);