diff --git a/constants.go b/constants.go
new file mode 100644
index 0000000..d9887f0
--- /dev/null
+++ b/constants.go
@@ -0,0 +1,8 @@
+package circuit
+
+import "math/big"
+
+var (
+	//  is poseidon hash(empty account info)
+	EmptyAccountLeafNodeHash, _ = new(big.Int).SetString("2853aadbbd06deb5d6a1389d23a89ff47658aaf4a45b287ecfd62df192bd91a4", 16)
+)
diff --git a/hash_verification_test.go b/hash_verification_test.go
new file mode 100644
index 0000000..8879898
--- /dev/null
+++ b/hash_verification_test.go
@@ -0,0 +1,73 @@
+package main
+
+import (
+	"fmt"
+	"testing"
+
+	"gate-zkmerkle-proof/utils"
+
+	"hash"
+
+	"github.com/consensys/gnark-crypto/ecc/bn254/fr"
+	"github.com/consensys/gnark-crypto/ecc/bn254/fr/poseidon"
+	zk_smt "github.com/gatechain/gate-zk-smt"
+	"github.com/gatechain/gate-zk-smt/database/memory"
+)
+
+// 电路常量 计算空账户叶子节点哈希 TestEmptyAccountLeafNodeHash
+func TestEmptyAccountLeafNodeHash(t *testing.T) {
+	// 1. 创建零值元素
+	zero := &fr.Element{0, 0, 0, 0}
+	fmt.Printf("1. 零值元素: %v\n", zero)
+
+	// 2. 创建 Poseidon 哈希器
+	poseidonHasher := poseidon.NewPoseidon()
+	fmt.Printf("2. 创建 Poseidon 哈希器\n")
+
+	// 3. 创建空资产列表（模拟项目中的逻辑）
+	emptyAssets := make([]utils.AccountAsset, utils.AssetCounts)
+	for i := 0; i < utils.AssetCounts; i++ {
+		emptyAssets[i].Index = uint16(i)
+		// Equity 和 Debt 默认为 0
+	}
+	fmt.Printf("3. 创建了 %d 个空资产，每个资产的 Equity=0, Debt=0\n", utils.AssetCounts)
+
+	// 4. 计算空资产的承诺（调用项目中的实际方法）
+	fmt.Printf("4. 调用 utils.ComputeUserAssetsCommitment 计算资产承诺...\n")
+	emptyAssetCommitment := utils.ComputeUserAssetsCommitment(&poseidonHasher, emptyAssets)
+	fmt.Printf("   空资产承诺: %x\n", emptyAssetCommitment)
+
+	tempHash := poseidon.Poseidon(zero, zero, zero, new(fr.Element).SetBytes(emptyAssetCommitment)).Bytes()
+	fmt.Printf("   计算得到的空账户哈希: %x\n", tempHash)
+}
+
+func TestEmptyAccountTreeRoot(t *testing.T) {
+	// 1. 计算 NilAccountHash（空账户叶子节点哈希）
+	fmt.Printf("1. 计算 NilAccountHash...\n")
+	zero := &fr.Element{0, 0, 0, 0}
+	poseidonHasher := poseidon.NewPoseidon()
+	emptyAssets := make([]utils.AccountAsset, utils.AssetCounts)
+	for i := 0; i < utils.AssetCounts; i++ {
+		emptyAssets[i].Index = uint16(i)
+	}
+	emptyAssetCommitment := utils.ComputeUserAssetsCommitment(&poseidonHasher, emptyAssets)
+	tempHash := poseidon.Poseidon(zero, zero, zero, new(fr.Element).SetBytes(emptyAssetCommitment)).Bytes()
+	nilAccountHash := tempHash[:]
+	fmt.Printf("   NilAccountHash: %x\n", nilAccountHash)
+
+	// 2. 创建空账户树
+	fmt.Printf("2. 创建深度为 %d 的空账户树...\n", utils.AccountTreeDepth)
+	hasher := zk_smt.NewHasherPool(func() hash.Hash {
+		return poseidon.NewPoseidon()
+	})
+	db := memory.NewMemoryDB()
+	accountTree, err := zk_smt.NewGateSparseMerkleTree(hasher, db, utils.AccountTreeDepth, nilAccountHash)
+	if err != nil {
+		t.Fatalf("创建账户树失败: %v", err)
+	}
+
+	// 3. 获取空树根
+	fmt.Printf("3. 获取空账户树根...\n")
+	emptyTreeRoot := accountTree.Root()
+	fmt.Printf("   空账户树根: %x\n", emptyTreeRoot)
+}
diff --git a/users.go b/users.go
new file mode 100644
index 0000000..ce6e9f8
--- /dev/null
+++ b/users.go
@@ -0,0 +1,156 @@
+package circuit
+
+import (
+	"gate-zkmerkle-proof/utils"
+	"github.com/consensys/gnark/std/hash/poseidon"
+)
+
+type BatchCreateUserCircuit struct {
+	BatchCommitment           Variable `gnark:",public"`
+	BeforeAccountTreeRoot     Variable
+	AfterAccountTreeRoot      Variable
+	BeforeCEXAssetsCommitment Variable
+	AfterCEXAssetsCommitment  Variable
+	BeforeCexAssets           []CexAssetInfo
+	CreateUserOps             []CreateUserOperation
+}
+
+func NewVerifyBatchCreateUserCircuit(commitment []byte) *BatchCreateUserCircuit {
+	var v BatchCreateUserCircuit
+	v.BatchCommitment = commitment
+	return &v
+}
+
+func NewBatchCreateUserCircuit(assetCounts uint32, batchCounts uint32) *BatchCreateUserCircuit {
+	var circuit BatchCreateUserCircuit
+	circuit.BatchCommitment = 0
+	circuit.BeforeAccountTreeRoot = 0
+	circuit.AfterAccountTreeRoot = 0
+	circuit.BeforeCEXAssetsCommitment = 0
+	circuit.AfterCEXAssetsCommitment = 0
+	circuit.BeforeCexAssets = make([]CexAssetInfo, assetCounts)
+	for i := uint32(0); i < assetCounts; i++ {
+		circuit.BeforeCexAssets[i] = CexAssetInfo{
+			TotalEquity: 0,
+			TotalDebt:   0,
+			BasePrice:   0,
+		}
+	}
+	circuit.CreateUserOps = make([]CreateUserOperation, batchCounts)
+	for i := uint32(0); i < batchCounts; i++ {
+		circuit.CreateUserOps[i] = CreateUserOperation{
+			BeforeAccountTreeRoot: 0,
+			AfterAccountTreeRoot:  0,
+			Assets:                make([]UserAssetInfo, assetCounts),
+			AccountIndex:          0,
+			AccountProof:          [utils.AccountTreeDepth]Variable{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+		}
+		for j := uint32(0); j < assetCounts; j++ {
+			circuit.CreateUserOps[i].Assets[j].Debt = 0
+			circuit.CreateUserOps[i].Assets[j].Equity = 0
+		}
+	}
+	return &circuit
+}
+
+func (b BatchCreateUserCircuit) Define(api API) error {
+	// verify whether BatchCommitment is computed correctly
+	actualBatchCommitment := poseidon.Poseidon(api, b.BeforeAccountTreeRoot, b.AfterAccountTreeRoot, b.BeforeCEXAssetsCommitment, b.AfterCEXAssetsCommitment)
+	api.AssertIsEqual(b.BatchCommitment, actualBatchCommitment)
+	cexAssets := make([]Variable, len(b.BeforeCexAssets))
+	afterCexAssets := make([]CexAssetInfo, len(b.BeforeCexAssets))
+
+	// verify whether beforeCexAssetsCommitment is computed correctly
+	for i := 0; i < len(b.BeforeCexAssets); i++ {
+		CheckValueInRange(api, b.BeforeCexAssets[i].TotalEquity)
+		CheckValueInRange(api, b.BeforeCexAssets[i].TotalDebt)
+		CheckValueInRange(api, b.BeforeCexAssets[i].BasePrice)
+		cexAssets[i] = api.Add(api.Mul(b.BeforeCexAssets[i].TotalEquity, utils.Uint64MaxValueFrSquare),
+			api.Mul(b.BeforeCexAssets[i].TotalDebt, utils.Uint64MaxValueFr), b.BeforeCexAssets[i].BasePrice)
+		afterCexAssets[i] = b.BeforeCexAssets[i]
+	}
+	actualCexAssetsCommitment := poseidon.Poseidon(api, cexAssets...)
+	api.AssertIsEqual(b.BeforeCEXAssetsCommitment, actualCexAssetsCommitment)
+
+	api.AssertIsEqual(b.BeforeAccountTreeRoot, b.CreateUserOps[0].BeforeAccountTreeRoot)
+	api.AssertIsEqual(b.AfterAccountTreeRoot, b.CreateUserOps[len(b.CreateUserOps)-1].AfterAccountTreeRoot)
+
+	tempAfterCexAssets := make([]Variable, len(b.BeforeCexAssets))
+	for i := 0; i < len(b.CreateUserOps); i++ {
+		accountIndexHelper := AccountIdToMerkleHelper(api, b.CreateUserOps[i].AccountIndex)
+		VerifyMerkleProof(api, b.CreateUserOps[i].BeforeAccountTreeRoot, EmptyAccountLeafNodeHash, b.CreateUserOps[i].AccountProof[:], accountIndexHelper)
+		var totalUserEquity Variable = 0
+		var totalUserDebt Variable = 0
+		userAssets := b.CreateUserOps[i].Assets
+		for j := 0; j < len(userAssets); j++ {
+			CheckValueInRange(api, userAssets[j].Debt)
+			CheckValueInRange(api, userAssets[j].Equity)
+			totalUserEquity = api.Add(totalUserEquity, api.Mul(userAssets[j].Equity, b.BeforeCexAssets[j].BasePrice))
+			totalUserDebt = api.Add(totalUserDebt, api.Mul(userAssets[j].Debt, b.BeforeCexAssets[j].BasePrice))
+
+			afterCexAssets[j].TotalEquity = api.Add(afterCexAssets[j].TotalEquity, userAssets[j].Equity)
+			afterCexAssets[j].TotalDebt = api.Add(afterCexAssets[j].TotalDebt, userAssets[j].Debt)
+		}
+		// make sure user's total Equity is greater than or equal to user's total Debt
+		api.AssertIsLessOrEqual(totalUserDebt, totalUserEquity)
+
+		userAssetsCommitment := ComputeUserAssetsCommitment(api, userAssets)
+		accountHash := poseidon.Poseidon(api, b.CreateUserOps[i].AccountIdHash, totalUserEquity, totalUserDebt, userAssetsCommitment)
+		actualAccountTreeRoot := UpdateMerkleProof(api, accountHash, b.CreateUserOps[i].AccountProof[:], accountIndexHelper)
+		api.AssertIsEqual(actualAccountTreeRoot, b.CreateUserOps[i].AfterAccountTreeRoot)
+
+	}
+
+	for j := 0; j < len(tempAfterCexAssets); j++ {
+		CheckValueInRange(api, afterCexAssets[j].TotalEquity)
+		CheckValueInRange(api, afterCexAssets[j].TotalDebt)
+		tempAfterCexAssets[j] = api.Add(api.Mul(afterCexAssets[j].TotalEquity, utils.Uint64MaxValueFrSquare),
+			api.Mul(afterCexAssets[j].TotalDebt, utils.Uint64MaxValueFr), afterCexAssets[j].BasePrice)
+	}
+
+	// verify AfterCEXAssetsCommitment is computed correctly
+	actualAfterCEXAssetsCommitment := poseidon.Poseidon(api, tempAfterCexAssets...)
+	api.AssertIsEqual(actualAfterCEXAssetsCommitment, b.AfterCEXAssetsCommitment)
+
+	for i := 0; i < len(b.CreateUserOps)-1; i++ {
+		api.AssertIsEqual(b.CreateUserOps[i].AfterAccountTreeRoot, b.CreateUserOps[i+1].BeforeAccountTreeRoot)
+	}
+
+	return nil
+}
+
+func SetBatchCreateUserCircuitWitness(batchWitness *utils.BatchCreateUserWitness) (witness *BatchCreateUserCircuit, err error) {
+	witness = &BatchCreateUserCircuit{
+		BatchCommitment:           batchWitness.BatchCommitment,
+		BeforeAccountTreeRoot:     batchWitness.BeforeAccountTreeRoot,
+		AfterAccountTreeRoot:      batchWitness.AfterAccountTreeRoot,
+		BeforeCEXAssetsCommitment: batchWitness.BeforeCEXAssetsCommitment,
+		AfterCEXAssetsCommitment:  batchWitness.AfterCEXAssetsCommitment,
+		BeforeCexAssets:           make([]CexAssetInfo, len(batchWitness.BeforeCexAssets)),
+		CreateUserOps:             make([]CreateUserOperation, len(batchWitness.CreateUserOps)),
+	}
+
+	for i := 0; i < len(witness.BeforeCexAssets); i++ {
+		witness.BeforeCexAssets[i].TotalEquity = batchWitness.BeforeCexAssets[i].TotalEquity
+		witness.BeforeCexAssets[i].TotalDebt = batchWitness.BeforeCexAssets[i].TotalDebt
+		witness.BeforeCexAssets[i].BasePrice = batchWitness.BeforeCexAssets[i].BasePrice
+	}
+
+	for i := 0; i < len(witness.CreateUserOps); i++ {
+		witness.CreateUserOps[i].BeforeAccountTreeRoot = batchWitness.CreateUserOps[i].BeforeAccountTreeRoot
+		witness.CreateUserOps[i].AfterAccountTreeRoot = batchWitness.CreateUserOps[i].AfterAccountTreeRoot
+		witness.CreateUserOps[i].Assets = make([]UserAssetInfo, len(batchWitness.CreateUserOps[i].Assets))
+		for j := 0; j < len(batchWitness.CreateUserOps[i].Assets); j++ {
+			var userAsset UserAssetInfo
+			userAsset.Equity = batchWitness.CreateUserOps[i].Assets[j].Equity
+			userAsset.Debt = batchWitness.CreateUserOps[i].Assets[j].Debt
+			witness.CreateUserOps[i].Assets[j] = userAsset
+		}
+		witness.CreateUserOps[i].AccountIdHash = batchWitness.CreateUserOps[i].AccountIdHash
+		witness.CreateUserOps[i].AccountIndex = batchWitness.CreateUserOps[i].AccountIndex
+		for j := 0; j < len(witness.CreateUserOps[i].AccountProof); j++ {
+			witness.CreateUserOps[i].AccountProof[j] = batchWitness.CreateUserOps[i].AccountProof[j]
+		}
+	}
+	return witness, nil
+}