diff --git a/evm/src/cross_table_lookup.rs b/evm/src/cross_table_lookup.rs
index 359b5309e8..df5bfbfc65 100644
--- a/evm/src/cross_table_lookup.rs
+++ b/evm/src/cross_table_lookup.rs
@@ -52,7 +52,7 @@ use crate::lookup::{
     eval_helper_columns, eval_helper_columns_circuit, get_helper_cols, Column, ColumnFilter,
     Filter, GrandProductChallenge,
 };
-use crate::proof::{StarkProofTarget, StarkProofWithMetadata};
+use crate::proof::{StarkProof, StarkProofTarget};
 use crate::stark::Stark;
 
 /// An alias for `usize`, to represent the index of a STARK table in a multi-STARK setting.
@@ -494,7 +494,7 @@ impl<'a, F: RichField + Extendable<D>, const D: usize>
 {
     /// Extracts the `CtlCheckVars` for each STARK.
     pub(crate) fn from_proofs<C: GenericConfig<D, F = F>, const N: usize>(
-        proofs: &[StarkProofWithMetadata<F, C, D>; N],
+        proofs: &[StarkProof<F, C, D>; N],
         cross_table_lookups: &'a [CrossTableLookup<F>],
         ctl_challenges: &'a GrandProductChallengeSet<F>,
         num_lookup_columns: &[usize; N],
@@ -511,8 +511,8 @@ impl<'a, F: RichField + Extendable<D>, const D: usize>
         let ctl_zs = proofs
             .iter()
             .zip(num_lookup_columns)
-            .map(|(p, &num_lookup)| {
-                let openings = &p.proof.openings;
+            .map(|(proof, &num_lookup)| {
+                let openings = &proof.openings;
 
                 let ctl_zs = &openings.auxiliary_polys[num_lookup..];
                 let ctl_zs_next = &openings.auxiliary_polys_next[num_lookup..];
diff --git a/evm/src/fixed_recursive_verifier.rs b/evm/src/fixed_recursive_verifier.rs
index 2df85b03de..b8844f5c00 100644
--- a/evm/src/fixed_recursive_verifier.rs
+++ b/evm/src/fixed_recursive_verifier.rs
@@ -40,7 +40,7 @@ use crate::generation::GenerationInputs;
 use crate::get_challenges::observe_public_values_target;
 use crate::proof::{
     AllProof, BlockHashesTarget, BlockMetadataTarget, ExtraBlockData, ExtraBlockDataTarget,
-    PublicValues, PublicValuesTarget, StarkProofWithMetadata, TrieRoots, TrieRootsTarget,
+    PublicValues, PublicValuesTarget, StarkProof, TrieRoots, TrieRootsTarget,
 };
 use crate::prover::{check_abort_signal, prove};
 use crate::recursive_verifier::{
@@ -1003,7 +1003,7 @@ where
 
         for table in 0..NUM_TABLES {
             let stark_proof = &all_proof.stark_proofs[table];
-            let original_degree_bits = stark_proof.proof.recover_degree_bits(config);
+            let original_degree_bits = stark_proof.recover_degree_bits(config);
             let table_circuits = &self.by_table[table];
             let shrunk_proof = table_circuits
                 .by_stark_size
@@ -1629,12 +1629,10 @@ where
 
     pub fn shrink(
         &self,
-        stark_proof_with_metadata: &StarkProofWithMetadata<F, C, D>,
+        stark_proof: &StarkProof<F, C, D>,
         ctl_challenges: &GrandProductChallengeSet<F>,
     ) -> anyhow::Result<ProofWithPublicInputs<F, C, D>> {
-        let mut proof = self
-            .initial_wrapper
-            .prove(stark_proof_with_metadata, ctl_challenges)?;
+        let mut proof = self.initial_wrapper.prove(stark_proof, ctl_challenges)?;
         for wrapper_circuit in &self.shrinking_wrappers {
             proof = wrapper_circuit.prove(&proof)?;
         }
diff --git a/evm/src/get_challenges.rs b/evm/src/get_challenges.rs
index 756b0650da..a9ea705a33 100644
--- a/evm/src/get_challenges.rs
+++ b/evm/src/get_challenges.rs
@@ -199,7 +199,7 @@ impl<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize> A
         let mut challenger = Challenger::<F, C::Hasher>::new();
 
         for proof in &self.stark_proofs {
-            challenger.observe_cap(&proof.proof.trace_cap);
+            challenger.observe_cap(&proof.trace_cap);
         }
 
         observe_public_values::<F, C, D>(&mut challenger, &self.public_values)?;
@@ -210,9 +210,7 @@ impl<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize> A
         Ok(AllProofChallenges {
             stark_challenges: core::array::from_fn(|i| {
                 challenger.compact();
-                self.stark_proofs[i]
-                    .proof
-                    .get_challenges(&mut challenger, config)
+                self.stark_proofs[i].get_challenges(&mut challenger, config)
             }),
             ctl_challenges,
         })
diff --git a/evm/src/proof.rs b/evm/src/proof.rs
index 33640458d6..ef63431b98 100644
--- a/evm/src/proof.rs
+++ b/evm/src/proof.rs
@@ -25,7 +25,7 @@ use crate::util::{get_h160, get_h256, h2u};
 #[derive(Debug, Clone)]
 pub struct AllProof<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize> {
     /// Proofs for all the different STARK modules.
-    pub stark_proofs: [StarkProofWithMetadata<F, C, D>; NUM_TABLES],
+    pub stark_proofs: [StarkProof<F, C, D>; NUM_TABLES],
     /// Cross-table lookup challenges.
     pub(crate) ctl_challenges: GrandProductChallengeSet<F>,
     /// Public memory values used for the recursive proofs.
@@ -35,7 +35,7 @@ pub struct AllProof<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, co
 impl<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize> AllProof<F, C, D> {
     /// Returns the degree (i.e. the trace length) of each STARK.
     pub fn degree_bits(&self, config: &StarkConfig) -> [usize; NUM_TABLES] {
-        core::array::from_fn(|i| self.stark_proofs[i].proof.recover_degree_bits(config))
+        core::array::from_fn(|i| self.stark_proofs[i].recover_degree_bits(config))
     }
 }
 
@@ -837,20 +837,6 @@ pub struct StarkProof<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>,
     pub opening_proof: FriProof<F, C::Hasher, D>,
 }
 
-/// A `StarkProof` along with some metadata about the initial Fiat-Shamir state, which is used when
-/// creating a recursive wrapper proof around a STARK proof.
-#[derive(Debug, Clone)]
-pub struct StarkProofWithMetadata<F, C, const D: usize>
-where
-    F: RichField + Extendable<D>,
-    C: GenericConfig<D, F = F>,
-{
-    /// Initial Fiat-Shamir state.
-    pub(crate) init_challenger_state: <C::Hasher as Hasher<F>>::Permutation,
-    /// Proof for a single STARK.
-    pub(crate) proof: StarkProof<F, C, D>,
-}
-
 impl<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize> StarkProof<F, C, D> {
     /// Recover the length of the trace from a STARK proof and a STARK config.
     pub fn recover_degree_bits(&self, config: &StarkConfig) -> usize {
diff --git a/evm/src/prover.rs b/evm/src/prover.rs
index faef64a033..2da098f2a3 100644
--- a/evm/src/prover.rs
+++ b/evm/src/prover.rs
@@ -32,7 +32,7 @@ use crate::evaluation_frame::StarkEvaluationFrame;
 use crate::generation::{generate_traces, GenerationInputs};
 use crate::get_challenges::observe_public_values;
 use crate::lookup::{lookup_helper_columns, Lookup, LookupCheckVars};
-use crate::proof::{AllProof, PublicValues, StarkOpeningSet, StarkProof, StarkProofWithMetadata};
+use crate::proof::{AllProof, PublicValues, StarkOpeningSet, StarkProof};
 use crate::stark::Stark;
 use crate::vanishing_poly::eval_vanishing_poly;
 #[cfg(test)]
@@ -187,7 +187,7 @@ fn prove_with_commitments<F, C, const D: usize>(
     ctl_challenges: &GrandProductChallengeSet<F>,
     timing: &mut TimingTree,
     abort_signal: Option<Arc<AtomicBool>>,
-) -> Result<[StarkProofWithMetadata<F, C, D>; NUM_TABLES]>
+) -> Result<[StarkProof<F, C, D>; NUM_TABLES]>
 where
     F: RichField + Extendable<D>,
     C: GenericConfig<D, F = F>,
@@ -323,7 +323,7 @@ pub(crate) fn prove_single_table<F, C, S, const D: usize>(
     challenger: &mut Challenger<F, C::Hasher>,
     timing: &mut TimingTree,
     abort_signal: Option<Arc<AtomicBool>>,
-) -> Result<StarkProofWithMetadata<F, C, D>>
+) -> Result<StarkProof<F, C, D>>
 where
     F: RichField + Extendable<D>,
     C: GenericConfig<D, F = F>,
@@ -341,8 +341,6 @@ where
         "FRI total reduction arity is too large.",
     );
 
-    let init_challenger_state = challenger.compact();
-
     let constraint_degree = stark.constraint_degree();
     let lookup_challenges = stark.uses_lookups().then(|| {
         ctl_challenges
@@ -520,16 +518,12 @@ where
         )
     );
 
-    let proof = StarkProof {
+    Ok(StarkProof {
         trace_cap: trace_commitment.merkle_tree.cap.clone(),
         auxiliary_polys_cap,
         quotient_polys_cap,
         openings,
         opening_proof,
-    };
-    Ok(StarkProofWithMetadata {
-        init_challenger_state,
-        proof,
     })
 }
 
diff --git a/evm/src/recursive_verifier.rs b/evm/src/recursive_verifier.rs
index 5220ba32a7..2c3827a50f 100644
--- a/evm/src/recursive_verifier.rs
+++ b/evm/src/recursive_verifier.rs
@@ -39,8 +39,7 @@ use crate::memory::VALUE_LIMBS;
 use crate::proof::{
     BlockHashes, BlockHashesTarget, BlockMetadata, BlockMetadataTarget, ExtraBlockData,
     ExtraBlockDataTarget, PublicValues, PublicValuesTarget, StarkOpeningSetTarget, StarkProof,
-    StarkProofChallengesTarget, StarkProofTarget, StarkProofWithMetadata, TrieRoots,
-    TrieRootsTarget,
+    StarkProofChallengesTarget, StarkProofTarget, TrieRoots, TrieRootsTarget,
 };
 use crate::stark::Stark;
 use crate::util::{h256_limbs, u256_limbs, u256_to_u32, u256_to_u64};
@@ -147,7 +146,7 @@ where
 
     pub(crate) fn prove(
         &self,
-        proof_with_metadata: &StarkProofWithMetadata<F, C, D>,
+        proof: &StarkProof<F, C, D>,
         ctl_challenges: &GrandProductChallengeSet<F>,
     ) -> Result<ProofWithPublicInputs<F, C, D>> {
         let mut inputs = PartialWitness::new();
@@ -155,7 +154,7 @@ where
         set_stark_proof_target(
             &mut inputs,
             &self.stark_proof_target,
-            &proof_with_metadata.proof,
+            proof,
             self.zero_target,
         );
 
@@ -169,11 +168,6 @@ where
             inputs.set_target(challenge_target.gamma, challenge.gamma);
         }
 
-        inputs.set_target_arr(
-            self.init_challenger_state_target.as_ref(),
-            proof_with_metadata.init_challenger_state.as_ref(),
-        );
-
         self.circuit.prove(inputs)
     }
 }
diff --git a/evm/src/verifier.rs b/evm/src/verifier.rs
index 3e284c7fc4..ae4fbf4aff 100644
--- a/evm/src/verifier.rs
+++ b/evm/src/verifier.rs
@@ -72,7 +72,7 @@ where
 
     verify_stark_proof_with_challenges(
         arithmetic_stark,
-        &all_proof.stark_proofs[Table::Arithmetic as usize].proof,
+        &all_proof.stark_proofs[Table::Arithmetic as usize],
         &stark_challenges[Table::Arithmetic as usize],
         &ctl_vars_per_table[Table::Arithmetic as usize],
         &ctl_challenges,
@@ -80,7 +80,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         byte_packing_stark,
-        &all_proof.stark_proofs[Table::BytePacking as usize].proof,
+        &all_proof.stark_proofs[Table::BytePacking as usize],
         &stark_challenges[Table::BytePacking as usize],
         &ctl_vars_per_table[Table::BytePacking as usize],
         &ctl_challenges,
@@ -88,7 +88,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         cpu_stark,
-        &all_proof.stark_proofs[Table::Cpu as usize].proof,
+        &all_proof.stark_proofs[Table::Cpu as usize],
         &stark_challenges[Table::Cpu as usize],
         &ctl_vars_per_table[Table::Cpu as usize],
         &ctl_challenges,
@@ -96,7 +96,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         keccak_stark,
-        &all_proof.stark_proofs[Table::Keccak as usize].proof,
+        &all_proof.stark_proofs[Table::Keccak as usize],
         &stark_challenges[Table::Keccak as usize],
         &ctl_vars_per_table[Table::Keccak as usize],
         &ctl_challenges,
@@ -104,7 +104,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         keccak_sponge_stark,
-        &all_proof.stark_proofs[Table::KeccakSponge as usize].proof,
+        &all_proof.stark_proofs[Table::KeccakSponge as usize],
         &stark_challenges[Table::KeccakSponge as usize],
         &ctl_vars_per_table[Table::KeccakSponge as usize],
         &ctl_challenges,
@@ -112,7 +112,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         logic_stark,
-        &all_proof.stark_proofs[Table::Logic as usize].proof,
+        &all_proof.stark_proofs[Table::Logic as usize],
         &stark_challenges[Table::Logic as usize],
         &ctl_vars_per_table[Table::Logic as usize],
         &ctl_challenges,
@@ -120,7 +120,7 @@ where
     )?;
     verify_stark_proof_with_challenges(
         memory_stark,
-        &all_proof.stark_proofs[Table::Memory as usize].proof,
+        &all_proof.stark_proofs[Table::Memory as usize],
         &stark_challenges[Table::Memory as usize],
         &ctl_vars_per_table[Table::Memory as usize],
         &ctl_challenges,
@@ -142,7 +142,7 @@ where
         cross_table_lookups,
         all_proof
             .stark_proofs
-            .map(|p| p.proof.openings.ctl_zs_first),
+            .map(|proof| proof.openings.ctl_zs_first),
         extra_looking_sums,
         config,
     )