diff --git a/relayer/crates/starknet-integration-tests/src/tests/poseidon/hades.rs b/relayer/crates/starknet-integration-tests/src/tests/poseidon/hades.rs
index 43f3a62a..a4857dd5 100644
--- a/relayer/crates/starknet-integration-tests/src/tests/poseidon/hades.rs
+++ b/relayer/crates/starknet-integration-tests/src/tests/poseidon/hades.rs
@@ -9,29 +9,26 @@ use super::poseidon_3::{FULL_ROUNDS, MDS, PARTIAL_ROUNDS, RATE_PLUS_1};
 
 pub const FN_NAME: &str = "Hades";
 
-pub const N_ROUND_CONSTANTS: usize = RATE_PLUS_1 * (FULL_ROUNDS + PARTIAL_ROUNDS);
-
-pub static ROUND_CONSTANTS: LazyLock<[Felt; N_ROUND_CONSTANTS]> =
-    LazyLock::new(|| core::array::from_fn(hades_ark));
+pub static ROUND_CONSTANTS: LazyLock<[Felt; RATE_PLUS_1 * (FULL_ROUNDS + PARTIAL_ROUNDS)]> =
+    LazyLock::new(|| {
+        core::array::from_fn(|idx| {
+            // https://github.com/starkware-libs/cairo-lang/blob/master/src/starkware/cairo/common/poseidon_utils.py#L15
+            let value = format!("{}{}", FN_NAME, idx);
+
+            let hash = {
+                use sha2::Digest;
+                let mut hasher = sha2::Sha256::new();
+                hasher.update(value);
+                hasher.finalize()
+            };
+
+            Felt::from_bytes_be(&hash.into())
+        })
+    });
 
-pub const STARKNET_HADES_PERM_3: HadesPermutate<RATE_PLUS_1, FULL_ROUNDS, PARTIAL_ROUNDS> =
+pub const HADES_PERM_3: HadesPermutate<RATE_PLUS_1, FULL_ROUNDS, PARTIAL_ROUNDS> =
     HadesPermutate { mds: MDS };
 
-// https://github.com/starkware-libs/cairo-lang/blob/master/src/starkware/cairo/common/poseidon_utils.py#L15
-pub fn hades_ark(idx: usize) -> Felt {
-    let value = format!("{}{}", FN_NAME, idx);
-
-    use sha2::Digest;
-
-    let hash = {
-        let mut hasher = sha2::Sha256::new();
-        hasher.update(value);
-        hasher.finalize()
-    };
-
-    Felt::from_bytes_be(&hash.into())
-}
-
 pub struct HadesPermutate<const DIM: usize, const FULL_ROUNDS: usize, const PARTIAL_ROUNDS: usize> {
     pub mds: [[i64; DIM]; DIM],
 }
diff --git a/relayer/crates/starknet-integration-tests/src/tests/poseidon/mod.rs b/relayer/crates/starknet-integration-tests/src/tests/poseidon/mod.rs
index c5fa2a12..03c1e321 100644
--- a/relayer/crates/starknet-integration-tests/src/tests/poseidon/mod.rs
+++ b/relayer/crates/starknet-integration-tests/src/tests/poseidon/mod.rs
@@ -1,7 +1,7 @@
 pub mod hades;
 pub mod poseidon_3;
 
-use hades::STARKNET_HADES_PERM_3;
+use hades::HADES_PERM_3;
 use starknet::core::types::Felt;
 
 // References:
@@ -28,7 +28,7 @@ impl Default for Poseidon3Hasher {
 impl Poseidon3Hasher {
     pub fn write(mut self, value: Felt) -> Self {
         if self.odd {
-            self.state = STARKNET_HADES_PERM_3.hades_permutation([
+            self.state = HADES_PERM_3.hades_permutation([
                 self.state[0],
                 self.state[1] + value,
                 self.state[2],
@@ -43,13 +43,13 @@ impl Poseidon3Hasher {
 
     pub fn finish(self) -> Felt {
         if self.odd {
-            STARKNET_HADES_PERM_3.hades_permutation([
+            HADES_PERM_3.hades_permutation([
                 self.state[0],
                 self.state[1] + Felt::ONE,
                 self.state[2],
             ])[0]
         } else {
-            STARKNET_HADES_PERM_3.hades_permutation([
+            HADES_PERM_3.hades_permutation([
                 self.state[0] + Felt::ONE,
                 self.state[1],
                 self.state[2],
@@ -63,11 +63,7 @@ impl Poseidon3Hasher {
         for chunk in span.chunks(2) {
             match chunk {
                 [x, y] => {
-                    state = STARKNET_HADES_PERM_3.hades_permutation([
-                        state[0] + x,
-                        state[1] + y,
-                        state[2],
-                    ])
+                    state = HADES_PERM_3.hades_permutation([state[0] + x, state[1] + y, state[2]])
                 }
                 [x] => {
                     return Self {