diff --git a/.github/actions/bitcoin/action.yml b/.github/actions/bitcoin/action.yml
index 5a5cd068..b2b36ecf 100644
--- a/.github/actions/bitcoin/action.yml
+++ b/.github/actions/bitcoin/action.yml
@@ -5,7 +5,7 @@ inputs:
   version:
     description: "Version to download and run"
     required: false
-    default: "27.0"
+    default: "29.1"
 
 runs:
   using: "composite"
diff --git a/.github/actions/test-dependencies/action.yml b/.github/actions/test-dependencies/action.yml
index c2a3ba59..7e63b877 100644
--- a/.github/actions/test-dependencies/action.yml
+++ b/.github/actions/test-dependencies/action.yml
@@ -10,7 +10,7 @@ inputs:
   bitcoin-version:
     description: "Bitcoin version to download and run as a regtest node"
     required: false
-    default: "27.1"
+    default: "29.1"
 
 runs:
   using: "composite"
diff --git a/coordinator/tributary-sdk/src/blockchain.rs b/coordinator/tributary-sdk/src/blockchain.rs
index 70a44106..2224517d 100644
--- a/coordinator/tributary-sdk/src/blockchain.rs
+++ b/coordinator/tributary-sdk/src/blockchain.rs
@@ -21,7 +21,7 @@ pub(crate) struct Blockchain<D: Db, T: TransactionTrait> {
 
   block_number: u64,
   tip: [u8; 32],
-  participants: HashSet<<Ristretto as WrappedGroup>::G>,
+  participants: HashSet<[u8; 32]>,
 
   provided: ProvidedTransactions<D, T>,
   mempool: Mempool<D, T>,
@@ -74,7 +74,10 @@ impl<D: Db, T: TransactionTrait> Blockchain<D, T> {
     let mut res = Self {
       db: Some(db.clone()),
       genesis,
-      participants: participants.iter().copied().collect(),
+      participants: participants
+        .iter()
+        .map(<<Ristretto as WrappedGroup>::G as GroupEncoding>::to_bytes)
+        .collect(),
 
       block_number: 0,
       tip: genesis,
@@ -173,7 +176,7 @@ impl<D: Db, T: TransactionTrait> Blockchain<D, T> {
 
     self.mempool.add::<N, _>(
       |signer, order| {
-        if self.participants.contains(&signer) {
+        if self.participants.contains(&signer.to_bytes()) {
           Some(
             db.get(Self::next_nonce_key(&self.genesis, &signer, &order))
               .map_or(0, |bytes| u32::from_le_bytes(bytes.try_into().unwrap())),
@@ -202,7 +205,7 @@ impl<D: Db, T: TransactionTrait> Blockchain<D, T> {
     if let Some(next_nonce) = self.mempool.next_nonce_in_mempool(signer, order.to_vec()) {
       return Some(next_nonce);
     }
-    if self.participants.contains(signer) {
+    if self.participants.contains(&signer.to_bytes()) {
       Some(
         self
           .db
@@ -251,7 +254,7 @@ impl<D: Db, T: TransactionTrait> Blockchain<D, T> {
       self.tip,
       self.provided.transactions.clone(),
       &mut |signer, order| {
-        if self.participants.contains(signer) {
+        if self.participants.contains(&signer.to_bytes()) {
           let key = Self::next_nonce_key(&self.genesis, signer, order);
           let next = txn
             .get(&key)
diff --git a/coordinator/tributary-sdk/src/mempool.rs b/coordinator/tributary-sdk/src/mempool.rs
index f0d99a42..20b4de8f 100644
--- a/coordinator/tributary-sdk/src/mempool.rs
+++ b/coordinator/tributary-sdk/src/mempool.rs
@@ -1,7 +1,7 @@
 use std::collections::HashMap;
 
 use dalek_ff_group::Ristretto;
-use ciphersuite::*;
+use ciphersuite::{group::GroupEncoding, *};
 
 use serai_db::{DbTxn, Db};
 
@@ -21,9 +21,9 @@ pub(crate) struct Mempool<D: Db, T: TransactionTrait> {
   db: D,
   genesis: [u8; 32],
 
-  last_nonce_in_mempool: HashMap<(<Ristretto as WrappedGroup>::G, Vec<u8>), u32>,
+  last_nonce_in_mempool: HashMap<([u8; 32], Vec<u8>), u32>,
   txs: HashMap<[u8; 32], Transaction<T>>,
-  txs_per_signer: HashMap<<Ristretto as WrappedGroup>::G, u32>,
+  txs_per_signer: HashMap<[u8; 32], u32>,
 }
 
 impl<D: Db, T: TransactionTrait> Mempool<D, T> {
@@ -82,6 +82,7 @@ impl<D: Db, T: TransactionTrait> Mempool<D, T> {
         }
         Transaction::Application(tx) => match tx.kind() {
           TransactionKind::Signed(order, Signed { signer, nonce, .. }) => {
+            let signer = signer.to_bytes();
             let amount = *res.txs_per_signer.get(&signer).unwrap_or(&0) + 1;
             res.txs_per_signer.insert(signer, amount);
 
@@ -140,6 +141,8 @@ impl<D: Db, T: TransactionTrait> Mempool<D, T> {
             };
             let mut next_nonce = blockchain_next_nonce;
 
+            let signer = signer.to_bytes();
+
             if let Some(mempool_last_nonce) =
               self.last_nonce_in_mempool.get(&(signer, order.clone()))
             {
@@ -182,7 +185,7 @@ impl<D: Db, T: TransactionTrait> Mempool<D, T> {
     signer: &<Ristretto as WrappedGroup>::G,
     order: Vec<u8>,
   ) -> Option<u32> {
-    self.last_nonce_in_mempool.get(&(*signer, order)).copied().map(|nonce| nonce + 1)
+    self.last_nonce_in_mempool.get(&(signer.to_bytes(), order)).copied().map(|nonce| nonce + 1)
   }
 
   /// Get transactions to include in a block.
@@ -243,6 +246,8 @@ impl<D: Db, T: TransactionTrait> Mempool<D, T> {
 
     if let Some(tx) = self.txs.remove(tx) {
       if let TransactionKind::Signed(order, Signed { signer, nonce, .. }) = tx.kind() {
+        let signer = signer.to_bytes();
+
         let amount = *self.txs_per_signer.get(&signer).unwrap() - 1;
         self.txs_per_signer.insert(signer, amount);
 
diff --git a/crypto/dalek-ff-group/src/lib.rs b/crypto/dalek-ff-group/src/lib.rs
index 563ae40a..c9c9b228 100644
--- a/crypto/dalek-ff-group/src/lib.rs
+++ b/crypto/dalek-ff-group/src/lib.rs
@@ -8,7 +8,6 @@ use core::{
   borrow::Borrow,
   ops::{Deref, Add, AddAssign, Sub, SubAssign, Neg, Mul, MulAssign},
   iter::{Iterator, Sum},
-  hash::{Hash, Hasher},
 };
 
 use zeroize::Zeroize;
@@ -20,9 +19,8 @@ use subtle::{Choice, CtOption};
 
 use curve25519_dalek::{
   edwards::{EdwardsPoint as DEdwardsPoint, CompressedEdwardsY},
-  ristretto::{RistrettoPoint as DRistrettoPoint, CompressedRistretto},
 };
-pub use curve25519_dalek::Scalar;
+pub use curve25519_dalek::{Scalar, ristretto::RistrettoPoint};
 
 use ::ciphersuite::group::{Group, GroupEncoding, prime::PrimeGroup};
 
@@ -259,17 +257,6 @@ macro_rules! dalek_group {
     }
 
     impl PrimeGroup for $Point {}
-
-    // Support being used as a key in a table
-    // While it is expensive as a key, due to the field operations required, there's frequently
-    // use cases for public key -> value lookups
-    #[allow(unknown_lints, renamed_and_removed_lints)]
-    #[allow(clippy::derived_hash_with_manual_eq, clippy::derive_hash_xor_eq)]
-    impl Hash for $Point {
-      fn hash<H: Hasher>(&self, state: &mut H) {
-        self.to_bytes().hash(state);
-      }
-    }
   };
 }
 
@@ -281,14 +268,6 @@ dalek_group!(
   CompressedEdwardsY,
 );
 
-dalek_group!(
-  RistrettoPoint,
-  DRistrettoPoint,
-  |_| true,
-  RistrettoBasepointTable,
-  CompressedRistretto,
-);
-
 #[test]
 fn test_ed25519_group() {
   ff_group_tests::group::test_prime_group_bits::<_, EdwardsPoint>(&mut rand_core::OsRng);
diff --git a/crypto/prime-field/src/lib.rs b/crypto/prime-field/src/lib.rs
index 6733fc85..ff4f36f3 100644
--- a/crypto/prime-field/src/lib.rs
+++ b/crypto/prime-field/src/lib.rs
@@ -419,7 +419,7 @@ macro_rules! odd_prime_field_with_specific_repr {
             const ONE_MOD_EIGHT: bool = (MODULUS.as_words()[0] % 8) == 1;
             const FIVE_MOD_EIGHT: bool = (MODULUS.as_words()[0] % 8) == 5;
 
-            let sqrt = if THREE_MOD_FOUR {
+            let mut sqrt = if THREE_MOD_FOUR {
               const SQRT_EXP: UnderlyingUint =
                 MODULUS.shr_vartime(2).wrapping_add(&UnderlyingUint::ONE);
               Self(self.0.pow(&SQRT_EXP))
@@ -449,7 +449,10 @@ macro_rules! odd_prime_field_with_specific_repr {
               Self(upsilon * self.0 * (i - Self::ONE.0))
             };
 
-            let sqrt = <_>::conditional_select(&sqrt, &-sqrt, sqrt.0.retrieve().is_odd());
+            // Normalize to the even choice of square root
+            // `let ()` is used to assert how `conditional_negate` operates in-place
+            let () = sqrt.conditional_negate(sqrt.is_odd());
+
             CtOption::new(sqrt, sqrt.square().ct_eq(self))
           }
           fn sqrt_ratio(num: &Self, div: &Self) -> (Choice, Self) {
diff --git a/orchestration/src/networks/bitcoin.rs b/orchestration/src/networks/bitcoin.rs
index 9136c997..c26b27d5 100644
--- a/orchestration/src/networks/bitcoin.rs
+++ b/orchestration/src/networks/bitcoin.rs
@@ -7,7 +7,7 @@ pub fn bitcoin(orchestration_path: &Path, network: Network) {
   const DOWNLOAD_BITCOIN: &str = r#"
 FROM alpine:latest AS bitcoin
 
-ENV BITCOIN_VERSION=27.1
+ENV BITCOIN_VERSION=29.1
 
 RUN apk --no-cache add wget git gnupg