diff --git a/doc/source/pre/whatsnew/1.3.rst b/doc/source/pre/whatsnew/1.3.rst
index 2970ce4142e1e93546df372b96398c898a6fe9ba..4f7a3f3274a04c16022ac7b889b71e08e5d58b5a 100644
--- a/doc/source/pre/whatsnew/1.3.rst
+++ b/doc/source/pre/whatsnew/1.3.rst
@@ -58,12 +58,12 @@ the following::
     q = Q(psi)
     j = J(psi)
 
-See :doc:`../../tutorial/operators`
+See the tutorial: :doc:`../../tutorial/operators`
 
 Plotting of currents
 --------------------
 Quantities defined on system hoppings (e.g. currents calculated using
-`~kwant.operator.current`) can be directly plotted as a streamplot over the
+`~kwant.operator.Current`) can be directly plotted as a streamplot over the
 system using `kwant.plotter.current`. This is similar to how
 `kwant.plotter.map` can be used to plot quantities defined on sites.
 The example below shows edge states of a quantum anomalous Hall phase
@@ -91,7 +91,7 @@ related by symmetry. The discrete symmetries may be combined with conservation
 laws, such that if different blocks of the Hamiltonian are related by a discrete
 symmetry, the lead modes are computed to reflect this.
 
-See the updated :doc:`../../tutorial/superconductors`
+See the updated tutorial: :doc:`../../tutorial/superconductors`
 
 Named parameters for value functions
 ------------------------------------
@@ -142,7 +142,9 @@ The kernel polynomial method is now implemented within Kwant to obtain the
 density of states or, more generally, the spectral density of a given operator
 acting on a system or Hamiltonian.
 
-See :doc:`../../reference/kwant.kpm`
+See the tutorial: :doc:`../../tutorial/kpm`
+
+See the reference documentation: :doc:`../../reference/kwant.kpm`
 
 Finalizing builders with multiple translational symmetries
 ----------------------------------------------------------
@@ -193,7 +195,8 @@ increased.
 
 Pickling support
 ----------------
-It is now possible to pickle and unpickle Kwant ``Builder`` and ``System``.
+It is now possible to pickle and unpickle `~kwant.builder.Builder` and
+`~kwant.system.System` instances.
 
 Improved build configuration
 ----------------------------