diff --git a/go.mod b/go.mod
index 4936976..e3a8912 100644
--- a/go.mod
+++ b/go.mod
@@ -3,7 +3,7 @@ module github.com/crate-crypto/go-kzg-4844
 go 1.20
 
 require (
-	github.com/consensys/gnark-crypto v0.12.1
+	github.com/consensys/gnark-crypto v0.13.0
 	github.com/stretchr/testify v1.8.2
 	golang.org/x/sync v0.1.0
 	gopkg.in/yaml.v2 v2.4.0
@@ -17,7 +17,7 @@ require (
 	github.com/mmcloughlin/addchain v0.4.0 // indirect
 	github.com/pmezard/go-difflib v1.0.0 // indirect
 	github.com/rogpeppe/go-internal v1.12.0 // indirect
-	golang.org/x/sys v0.9.0 // indirect
+	golang.org/x/sys v0.15.0 // indirect
 	gopkg.in/yaml.v3 v3.0.1 // indirect
 	rsc.io/tmplfunc v0.0.3 // indirect
 )
diff --git a/go.sum b/go.sum
index 50ea332..39846a3 100644
--- a/go.sum
+++ b/go.sum
@@ -2,8 +2,8 @@ github.com/bits-and-blooms/bitset v1.7.0 h1:YjAGVd3XmtK9ktAbX8Zg2g2PwLIMjGREZJHl
 github.com/bits-and-blooms/bitset v1.7.0/go.mod h1:gIdJ4wp64HaoK2YrL1Q5/N7Y16edYb8uY+O0FJTyyDA=
 github.com/consensys/bavard v0.1.13 h1:oLhMLOFGTLdlda/kma4VOJazblc7IM5y5QPd2A/YjhQ=
 github.com/consensys/bavard v0.1.13/go.mod h1:9ItSMtA/dXMAiL7BG6bqW2m3NdSEObYWoH223nGHukI=
-github.com/consensys/gnark-crypto v0.12.1 h1:lHH39WuuFgVHONRl3J0LRBtuYdQTumFSDtJF7HpyG8M=
-github.com/consensys/gnark-crypto v0.12.1/go.mod h1:v2Gy7L/4ZRosZ7Ivs+9SfUDr0f5UlG+EM5t7MPHiLuY=
+github.com/consensys/gnark-crypto v0.13.0 h1:VPULb/v6bbYELAPTDFINEVaMTTybV5GLxDdcjnS+4oc=
+github.com/consensys/gnark-crypto v0.13.0/go.mod h1:wKqwsieaKPThcFkHe0d0zMsbHEUWFmZcG7KBCse210o=
 github.com/creack/pty v1.1.9/go.mod h1:oKZEueFk5CKHvIhNR5MUki03XCEU+Q6VDXinZuGJ33E=
 github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
 github.com/davecgh/go-spew v1.1.1 h1:vj9j/u1bqnvCEfJOwUhtlOARqs3+rkHYY13jYWTU97c=
@@ -29,8 +29,8 @@ github.com/stretchr/testify v1.8.2 h1:+h33VjcLVPDHtOdpUCuF+7gSuG3yGIftsP1YvFihtJ
 github.com/stretchr/testify v1.8.2/go.mod h1:w2LPCIKwWwSfY2zedu0+kehJoqGctiVI29o6fzry7u4=
 golang.org/x/sync v0.1.0 h1:wsuoTGHzEhffawBOhz5CYhcrV4IdKZbEyZjBMuTp12o=
 golang.org/x/sync v0.1.0/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sys v0.9.0 h1:KS/R3tvhPqvJvwcKfnBHJwwthS11LRhmM5D59eEXa0s=
-golang.org/x/sys v0.9.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
+golang.org/x/sys v0.15.0 h1:h48lPFYpsTvQJZF4EKyI4aLHaev3CxivZmv7yZig9pc=
+golang.org/x/sys v0.15.0/go.mod h1:/VUhepiaJMQUp4+oa/7Zr1D23ma6VTLIYjOOTFZPUcA=
 gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
 gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c h1:Hei/4ADfdWqJk1ZMxUNpqntNwaWcugrBjAiHlqqRiVk=
 gopkg.in/yaml.v2 v2.4.0 h1:D8xgwECY7CYvx+Y2n4sBz93Jn9JRvxdiyyo8CTfuKaY=
diff --git a/internal/kzg/kzg_verify.go b/internal/kzg/kzg_verify.go
index 3110938..053ef05 100644
--- a/internal/kzg/kzg_verify.go
+++ b/internal/kzg/kzg_verify.go
@@ -70,7 +70,9 @@ func Verify(commitment *Commitment, proof *OpeningProof, openKey *OpeningKey) er
 	var claimedValueG1Jac bls12381.G1Jac
 	var claimedValueBigInt big.Int
 	proof.ClaimedValue.BigInt(&claimedValueBigInt)
-	claimedValueG1Jac.ScalarMultiplicationAffine(&openKey.GenG1, &claimedValueBigInt)
+	var GenG1Jac bls12381.G1Jac
+	GenG1Jac.FromAffine(&openKey.GenG1)
+	claimedValueG1Jac.ScalarMultiplication(&GenG1Jac, &claimedValueBigInt)
 
 	//  In the specs, this is denoted as `P_minus_y`
 	//