diff --git a/src/PlainAlgo.jl b/src/PlainAlgo.jl
index 33744b4..1a2ed21 100644
--- a/src/PlainAlgo.jl
+++ b/src/PlainAlgo.jl
@@ -88,7 +88,7 @@ which is already done for the two types above.
 """
 function plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +, ptmin = 0.0) where T
     # Integer p if possible
-    p = (round(p) == p) ? Int(p) : p 
+    p = (round(p) == p) ? Int(p) : p
 
     # We make sure these arrays are type stable - have seen issues where, depending on the values
     # returned by the methods, they can become unstable and performance degrades
diff --git a/src/TiledAlgoLL.jl b/src/TiledAlgoLL.jl
index 29871a6..58db710 100644
--- a/src/TiledAlgoLL.jl
+++ b/src/TiledAlgoLL.jl
@@ -63,10 +63,10 @@ end
 
 
 """Initialise a tiled jet from a PseudoJet (using an index into our ClusterSequence)"""
-tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, jets_index, R2) = begin
+tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, jets_index, R2, p) = begin
     @inbounds jet.eta = rapidity(clusterseq.jets[jets_index])
     @inbounds jet.phi = phi_02pi(clusterseq.jets[jets_index])
-    @inbounds jet.kt2 = pt2(clusterseq.jets[jets_index]) > 1.e-300 ? 1.0 / pt2(clusterseq.jets[jets_index]) : 1.e300
+    @inbounds jet.kt2 = pt2(clusterseq.jets[jets_index]) > 1.e-300 ? pt2(clusterseq.jets[jets_index])^p : 1.e300
     jet.jets_index    = jets_index
     # Initialise NN info as well
     jet.NN_dist = R2
@@ -360,7 +360,7 @@ function tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, re
     tiledjets = similar(clusterseq.jets, TiledJet)
     for ijet in eachindex(tiledjets)
         tiledjets[ijet] = TiledJet(ijet)
-        tiledjet_set_jetinfo!(tiledjets[ijet], clusterseq, ijet, R2)
+        tiledjet_set_jetinfo!(tiledjets[ijet], clusterseq, ijet, R2, p)
     end
 
     # Now initalise all of the nearest neighbour tiles
@@ -400,7 +400,7 @@ function tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, re
             oldB = copy(jetB)  # take a copy because we will need it...
 
             tiledjet_remove_from_tiles!(clusterseq.tiling, jetB)
-            tiledjet_set_jetinfo!(jetB, clusterseq, nn, R2) # cause jetB to become _jets[nn]
+            tiledjet_set_jetinfo!(jetB, clusterseq, nn, R2, p) # cause jetB to become _jets[nn]
         #                                  (in addition, registers the jet in the tiling)
         else
             # Jet-beam recombination