diff --git a/blackjax/mcmc/termination.py b/blackjax/mcmc/termination.py
index 8432054e4..24e17c3a5 100644
--- a/blackjax/mcmc/termination.py
+++ b/blackjax/mcmc/termination.py
@@ -17,6 +17,7 @@
 import jax
 import jax.numpy as jnp
 
+from blackjax.mcmc.metrics import CheckTurning
 from blackjax.types import Array
 
 
@@ -27,7 +28,7 @@ class IterativeUTurnState(NamedTuple):
     idx_max: int
 
 
-def iterative_uturn_numpyro(is_turning):
+def iterative_uturn_numpyro(is_turning: CheckTurning):
     """Numpyro style dynamic U-Turn criterion."""
 
     def new_state(chain_state, max_num_doublings) -> IterativeUTurnState:
diff --git a/blackjax/mcmc/trajectory.py b/blackjax/mcmc/trajectory.py
index 6338acc2b..6deeb9bef 100644
--- a/blackjax/mcmc/trajectory.py
+++ b/blackjax/mcmc/trajectory.py
@@ -13,7 +13,8 @@
 # limitations under the License.
 """Procedures to build trajectories for algorithms in the HMC family.
 
-To propose a new state, algorithms in the HMC family generally proceed by :cite:p:`betancourt2017conceptual`:
+To propose a new state, algorithms in the HMC family generally proceed by
+:cite:p:`betancourt2017conceptual`:
 
 1. Sampling a trajectory starting from the initial point;
 2. Sampling a new state from this sampled trajectory.
@@ -299,10 +300,11 @@ def dynamic_recursive_integration(
     """Integrate a trajectory and update the proposal recursively in Python
     until the termination criterion is met.
 
-    This is the implementation of Algorithm 6 from :cite:p:`hoffman2014no` with multinomial sampling.
-    The implemenation here is mostly for validating the progressive implementation
-    to make sure the two are equivalent. The recursive implementation should not
-    be used for actually sampling as it cannot be jitted and thus likely slow.
+    This is the implementation of Algorithm 6 from :cite:p:`hoffman2014no` with
+    multinomial sampling. The implemenation here is mostly for validating the
+    progressive implementation to make sure the two are equivalent. The recursive
+    implementation should not be used for actually sampling as it cannot be jitted and
+    thus likely slow.
 
     Parameters
     ----------
@@ -313,9 +315,11 @@ def dynamic_recursive_integration(
     uturn_check_fn
         Determines whether the termination criterion has been met.
     divergence_threshold
-        Value of the difference of energy between two consecutive states above which we say a transition is divergent.
+        Value of the difference of energy between two consecutive states above which we
+        say a transition is divergent.
     use_robust_uturn_check
-        Bool to indicate whether to perform additional U turn check between two trajectory.
+        Bool to indicate whether to perform additional U turn check between two
+        trajectory.
 
     """
     _, generate_proposal = proposal_generator(hmc_energy(kinetic_energy))
@@ -348,7 +352,8 @@ def buildtree_integrate(
         step_size
             The step size of the symplectic integrator.
         initial_energy
-            Initial energy H0 of the HMC step (not to confused with the initial energy of the subtree)
+            Initial energy H0 of the HMC step (not to confused with the initial energy
+            of the subtree)
 
         """
         if tree_depth == 0:
@@ -561,9 +566,9 @@ def expand_once(loop_state):
             # Update the proposal
             #
             # We do not accept proposals that come from diverging or turning
-            # subtrajectories.  However the definition of the acceptance
-            # probability is such that the acceptance probability needs to be
-            # computed across the entire trajectory.
+            # subtrajectories. However the definition of the acceptance probability is
+            # such that the acceptance probability needs to be computed across the
+            # entire trajectory.
             def update_sum_log_p_accept(inputs):
                 _, proposal, new_proposal = inputs
                 return Proposal(
diff --git a/requirements-doc.txt b/requirements-doc.txt
index dc8781831..338073a88 100644
--- a/requirements-doc.txt
+++ b/requirements-doc.txt
@@ -12,7 +12,7 @@ myst_nb>=1.0.0
 numba
 numpyro
 optax
-oryx @ git+https://github.com/jax-ml/oryx.git@main  # remove after oryx release
+oryx
 pymc
 scikit-learn
 sphinx