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Ethereum Express Network

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Ethereum Express: Ethereum EVM L1
Faster, Safer, and Cheaper
6 JUN 2023


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Ethereum Express: Ethereum EVM L1
Faster, Safer, and Cheaper
[email protected]
Abstract. In this paper, we propose a high-performance modular blockchain that supports a
multi-chain structure. With the popularity of crypto increasing every day, scalability has
become the biggest challenge for permissionless blockchains. At present, the common way to
solve the scaling problem is to optimize its monolithic structure, whereas, Ethereum Express
Network proposes the layered architecture by vertically segmenting settlement, execution,
and data availability into three different layers and optimizing each one of them according to
their specifics. Ethereum Express Network also proposes a collaborative ZK-Rollup and “Chaos
Consensus” protocol. In addition, We has designed a “Time Crossing” cross-chain protocol
fully compatible with the Cosmos ecosystem. With the proposed structure Ethereum Express
Network can reach hundreds of thousands of TPS and eliminate the need for external data
availability for Rollup and NFT, thus providing an efficient and reliable full-stack solution for
the development of Web 3.0.
Keywords: Ethereum Express Network · Blockchain · Collaborative-rollup · Chaos
consensus · Data availability sharding · Time crossing
1 Introduction
Since the introduction of Bitcoin [4], blockchain technology and the idea of decentralization have
gradually gained popularity. Ethereum [5] and its smart contracts gave almost unlimited
application for distributed ledger technology. However, the main concerns of early blockchain
technology were security and decentralization while transaction processing capacity was not
considered enough. The transaction processing capacity of about a dozen TPS has greatly limited
the further development of blockchain applications, considering the present scenario, with the
explosive growth of decentralized applications such as DeFi, GameFi, and NFT, the number of
transactions submitted to the permissionless blockchains have increased exponentially. At peak
traffic, the gas price of the Ethereum network can reach thousands of Gwei and a single
transaction can cost a user a hundred of dollars in transaction fees. The transaction processing
capacity of permissionless blockchains is becoming a bottleneck for the continued growth of the
decentralized economy.
In order to solve the problem of scaling in permissionless blockchain, numerous technological
advancements and solutions have been proposed and applied [6,7,8,9,10,11,12,13], some of
which are based on multi-chain architecture and some on state sharding. Those techniques
alleviate the pressure of scaling to some extent. Still, this horizontal splitting causes
fragmentation of the whole system and sacrifices some security and decentralization features
and still does not solve the scaling problem. Meanwhile, there are also Layer 2-based scaling
solutions, such as Rollup [15], Plasma [14], State Channels [16], etc, which made progress in
scalability but were not systematic and thorough.
From a functional point of view, the whole blockchain system consists of three parts:
• Execution of transactions;
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• Verification and consensus on the results of transaction execution;
• Storage of the original data of the transaction.
The specifics of each part are different. Putting those together to optimize will inevitably lead
them to conflict with each other. Optimization can be achieved only if the entire system is
vertically split in the above functions according to their specifics.
Here we propose Ethereum Express Network, a next-generation modular blockchain with a
multi-chain architecture, that is secure, fast and scalable. We believe that Ethereum Express
Network makes a more systematic and thorough vertical splitting of blockchain which is
necessary to solve the scaling problem mentioned above fundamentally. Ethereum Express
Network is designed with the execution layer for transaction execution by using the ZK Rollupbased Validium solution and a self-developed Collaborative Rollup solution as the system’s
execution engine. In terms of consensus, Ethereum Express Network is designed with a
settlement layer that is fully compatible with EVM and Ethereum protocols and introduces a highperformance consensus protocol that supports large-scale node participation. In terms of raw
data storage for transactions, Ethereum Express Network is designed with a data availability layer
that implements block data sharding and sampling validation schemes to provide efficient and
reliable storage services. For Rollup and NFT applications, there is no need to rely on external
storage solutions any longer since the processing logic and data are fully managed. In addition,
Ethereum Express Network does not forget about multi-chain support and has developed a
decentralized cross-chain communication protocol named “Time Crossing”, which supports
cross-chain DeFi contract calls and is compatible with Cosmos IBC protocol.
Ethereum Express Network is a public blockchain that is designed to collaborate and promote
the development of the industry, taking into account the current needs of decentralized
applications and the future innovation and development. It takes high-performance underlying
permissionless blockchain as a new starting point, realizes the ultimate performance
optimization of single-chains in phases, supports and promotes the development of Web 3.0 in
modular layers, solves storage pain points, forming a permissionless blockchain with complete
underlying capabilities that everyone can participate in. Furthermore, it actively leads and
participates in the development and construction of decentralized cross-chain protocols to form
a multi-chain network and integrate itself into the new world of interconnected chains to become
an indispensable part of the metaverse infrastructure.
Compared with other permissionless blockchains, Ethereum Express Network is committed
to making innovations and contributions in blockchain scaling and cross-chain, and also
addressing the full-stack requirements of Web 3.0, with the following five core technical
features.
• Modular layered architecture, built-in Rollup, and extreme scaling, supporting hundreds of
thousands of TPS;
• Pipelined optimized BFT consensus, combining high throughput, decentralization, secure
and fast transaction confirmation;
• Full compatibility with Ethereum protocols and EVM, supporting a seamless migration of
applications within the ecosystem
• Built-in data availability solutions to address Web 3.0 full-stack requirements;
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• Support DeFi cross-chain calls, multi-chain network structure and compatible with Cosmos
IBC, interconnecting all chains.
2 Overall Architecture
In the field of traditional permissionless blockchain scaling, there has been the Blockchain
Trilemma of decentralization, security and scalability that no current blockchain system can
simultaneously achieve.
Ethereum Express Network believes that the solution lies in the fact that the traditional
blockchain has monolithic architecture, which means components are interconnected and
interdependent.
You couldn’t just take a piece of it and plug it into something else.
To solve this problem, Ethereum Express Network adopts a modular architecture which is
divided into three layers: Execution Layer, Settlement Layer and Data Availability Layer.
• Execution Layer: responsible for the execution of almost all contract-based transactions
and supports decentralized applications. It is the combination of ZK Rollup and
Collaborative Rollup, where the execution results are submitted to the settlement layer
and the settlement layer establishes undeniable security as well as objective finality.
• Settlement layer: responsible for verifying and settling the execution results of the
execution layer and is also the asset layer, responsible for the management and settlement
of the assets on the chain.
• Data availability layer: focusing on data storage, it will store permanently high-value data
based on data sharding, and with data availability sampling technologies it can support
reliable verification for light clients.
In addition, relying on our Time Crossing cross-chain protocol, Ethereum Express Network can
also implement multi-chain topology to meet the demand for application chains. Meanwhile,
“Time Crossing” is also compatible with Cosmos IBC to achieve cross-chain support for
blockchains in the Cosmos ecosystem and Cosmos Hub. The overall system architecture is
illustrated in Figure 1.
2.1 Execution Layer: Built-in Rollup High-speed Execution Engine
The execution layer is key to Ethereum Express Network’s scalability. Ethereum Express Network
achieves scalability by offloading the expensive transaction process from on-chain to off-chain,
while keeping its on-chain focus on validating the results.
Ethereum Express Network uses Rollup technology as the main implementation of the
execution engine, splitting the transaction process into two parts. The first is through combining
a large number of transactions executed off-chain, and the second is to submit them as one to
the main chain for validation. The original data of the transactions is packed and stored on the
chain.This reduces the amount of data being sent to the main chain and enables faster and
cheaper transactions and hundreds of thousands of TPS.
2.1.1 Rollup Technology Solution
Rollup technology mainly includes ZK Rollup and Optimistic Rollup, which are currently the most
mainstream Layer 2 scaling solutions for Ethereum. Both of them have different advantages and
limitations in the current application scenarios.
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For Optimistic Rollup, it is fully compatible with EVM so it is very convenient for existing
Ethereum Dapps to complete the migration, but it relies on a long waiting period for the
transaction validation, and on-chain transactions take a long time to be confirmed.
For ZK Rollup, its security model relies on zero-knowledge proof of cryptography, andon-chain
confirmation of transactions can be completed as long as the relevant zeroknowledge proof is
verified However, due to the complexity of the zero-knowledge proof
Figure 1: Ethereum Express Network Architecture Diagram
technology, a fully universal and reliable zkEVM is not yet available. This leads to each
application having to develop its own zero-knowledge proof logic, making the development and
migration of applications much more difficult.
Ethereum Express Network considers fast transaction validation critical and therefore prefers
ZK Rollup as our execution layer. Ethereum Express Network will provide a ZK-Rollup SDK that
integrates the zero-knowledge proof generation and verification process components. Ethereum
Express Network has built-in templates for common applications, including DEX and Lending,
making it easier for developers to integrate these capabilities.
In addition, Ethereum Express Network has proposed its own Collaborative Rollup that is fully
EVMcompatible. It also offers fast transaction validation, aiming to provide a good alternative to
ZK Rollup until the zkEVM technology matures.
2.1.2 Data Availability Separation
During the transaction execution, Ethereum Express Network only submits the results of the
Rollup transactions to the settlement layer instead of submitting the raw transactions to the
settlement layer like traditional Rollups. Before the results of the Rollup transactions can be
submitted to the settlement layer they must be submitted to Ethereum Express Network’s data
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availability layer first. Ethereum Express Network’s data availability layer meets economic and
data storage requirements, thus saving valuable storage resources on the settlement layer, as
shown in figure 2.
After the transaction set is submitted to the data availability layer and confirmed, the data
availability layer then sends back the proof of the availability corresponding to the Merkle tree
root of the current transaction set.
For Collaborative Rollup, this proof of availability can be “rolled up” with the transaction
result endorsement and submitted to the main chain. For ZK Rollup, the proof of availability is
submitted to the chain along with the zero-knowledge proof, and this supports the Validium
model of ZK Rollup.
Figure 2: Separation of data availability at the settlement layer
2.2 Settlement Layer: the Highest Performance EVM-compatible Chain
The settlement layer is the core of the Ethereum Express Network. For the execution layer, the
settlement layer is the key to transaction fee and transaction confirmation. For the data
availability layer, it is even more important, as the entire process of block construction, proposal,
confirmation and transaction payment, are all driven by the settlement layer.
At the same time, the settlement layer is also responsible for cross-chain functions. Assets
from both application chains and other ecosystems flow into the Ethereum Express Network
through the settlement layer. The Ethereum Express Network settlement layer is developed from
Ethereum but with completely redesigned and optimized consensus and storage features,
making it the highestperforming EVM-compatible chain today.
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2.2.1 Full Ethereum Protocol Compatibility
Ethereum Express Network believes that Ethereum is the industry standard for blockchain
applications development. To attract more high-quality Dapps projects and developers to join the
Ethereum Express Network ecosystem, Ethereum Express Network has implemented the full
Ethereum protocol in the settlement layer.
The virtual machine Ethereum Express Network is not only fully compatible with EVM, but
also keeps up with the latest EIP’s so that developers can directly deploy the existing Dapps on
Ethereum to Ethereum Express Network. All the development tools developed on Ethereum,
including Wallet, Solidity, Remix, Truffle and Hathat, can also be directly used on the Ethereum
Express Network Chain.
Ethereum Express Network is also compatible with almost all of the RPC interfaces of
Ethereum, so developers can switch to Ethereum Express Network’s application development at
no cost and get the rewards for Ethereum Express Network’s ecosystem development.
2.2.2 Deep Performance-based Optimisation
Ethereum Express Network’s approach to performance optimization begins with the settlement
layer. While it is not responsible for executing specific user transactions, the settlement layer
provides an anchor and foundation for the entire system.
For this reason, Ethereum Express Network has developed its own combined DPOS and
random sampling validator selection consensus mechanism, and a Pipelined Optimized BFT
process to achieve extremely high performance, true decentralization, and an excellent balance
of transaction throughput and instant confirmation. In addition, Ethereum Express Network has
modified a storage synchronization and EVM execution cache based on EVM real-world actual
performance profiling, resulting in significant performance improvements.
2.3 Data Availability Layer: Massive Validators & Unlimited Scalability
To save the valuable storage space in the settlement layer, Ethereum Express Network designed
the data availability layer to provide reliable on-chain storage for Rollup and various decentralized
applications. This allows the original transaction data corresponding to rollup and the actual
material corresponding to NFT do not need to rely on external storage protocols anymore. It can
be completely solved inside the Ethereum Express Network Chain.
In addition, Ethereum Express Network has designed the data availability layer with a
Sharding architecture to involve more nodes for increased decentralization and scalability. This
allows a single node to store only a chunk of data (shard) while a large number of nodes
ensures data availability. This solves the fundamental problem of increasing the number of
nodes in a blockchain without increasing storage capacity.
As a separate storage layer, Ethereum Express Network’s data availability layer has the
following main features compared to traditional blockchains:
• Only data needs to be stored on the chain, no transaction needs to be executed, also there
is no world state;
• Verification of a block does not rely on historical data;
• Only the settlement layer conducts unified management.
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2.4 Cross-Chain: Full Interoperability of Assets and Messages
Ethereum Express Network is based on a cross-chain protocol that allows assets to flow in
different dimensions.
Ethereum Express Network’s cross-chain protocol is compatible with Cosmos IBC, making it
easy to integrate into the Cosmos ecosystem. At the same time, it supports not only cross-chain
transfer of assets but also cross-chain communication at the message level, laying the foundation
for multi-application chain structures and cross-chain calls between DeFi’s protocols.
In order to bridge the flow of assets between Ethereum Express Network and any other chain,
Ethereum Express Network has built an Oracle-based cross-chain bridge as a complement to the
cross-chain communication protocol when it is not applicable.
3 Collaborative Rollup
Ethereum Express Network introduces collaborative rollup as an execution engine.
3.1 Security Model
Unlike the security of ZK Rollup, which relies on cryptographic algorithms, the security model of
Collaborative Rollup relies on the endorsement of a random group of verifiers, which is the
origin of the term collaborative. Ethereum Express Network believes that a single verifier cannot
be trusted, but a randomly selected group of sufficient verifiers can be. This security model is
consistent with the security assumptions of Polkadot and Ethereum 2.0.
Therefore, if the execution result of a transaction can receive the endorsement of more
than half of a randomly selected group of verifiers, we can consider the execution result of the
transaction to be trustworthy.
In addition, we establish a penalty mechanism for the case when a validator is found to
endorse an invalid transaction result. After any validator submits the malicious endorsement to
the chain as evidence of malicious behavior, the malicious validator will lose his stakes and a part
of the stakes will be rewarded to the validator who was the first to submit the evidence.
3.2 Node Classification
Collaborative Rollup is divided into two roles in terms of protocol - one is an execution node and
the other is an endorsement node.
The execution node is essentially a high-performance, centralized EVM that works on Layer 2
and keeps all the accounts and states of Layer 2. It needs to have an account on the settlement
layer and stake. It is used for fast and efficient execution of the transactions and encapsulation of
the execution results into an endorsement request that is sent to the endorsement nodes.
The endorsement node is also the full node of the execution layer. If the stake of a validator
is more than a certain proportion, and he has registered in a specific system contract, he can
become a candidate for an endorsement node. In the registration process you’ll need to register
two public keys. One is a property related public key to protect your belongings, the other is an
endorsement related public key to sign an endorsement.
Then each epoch endorsement node-set will be randomly selected from these candidate
endorsement nodes. There can be a fixed number of sets of the endorsement nodes, and the
number of endorsement nodes in each set is constant.
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3.3 Validation and Endorsement
As mentioned above, the execution nodes need to pack the transactions of the execution layer
and execute them. After each transaction is executed, changes will be made to the current
world state.
Like ZK Rollup, Collaborative Rollup also uses the shortened version of the addresses and
forms all states into a Merkle tree structure. The Collaborative Rollup adopts the MPT of
Ethereum, so that we can use the root of this tree to represent the current world state of Rollup
and can get Merkle proofs for specific states. With the above execution environment, we can
define below how to represent the execution result of a transaction. To achieve separation of
execution and verification, the execution result must be verifiable.
We define the execution result as follows.
As shown in the figure 3 above it contains the following main components.
• The Merkle tree consists of the original set of transactions and its root roottx;
• The state root before transaction execution rootpre−state;
• The post-transaction execution state rootpost−state;
• The read-set and write-set associated with transaction execution and the corresponding
Merkle proof for rootpre−state;
• Execution node signature.
Figure 3: Transaction execution results
As is shown in the figure 4, after receiving the endorsement request, the endorsing node will
first verify the signature, and the sender’s identity by its stake amount. Then verify the
corresponding Merkle branches of the read-set and write-set, and execute the transactions in
EVM with the read-set to get output values of the write-set, and most of all combine the writeset with its Merkle branches before execution to update the state tree root. It also verifies
whether the final state root obtained at the end is consistent with the one after execution in the
endorsement request. If the above verification is passed, then the BLS private key is used to sign
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all the parts except the original transaction set, which is the endorsement of the execution result
of this batch of transactions.
Figure 4: Endorsement of transaction execution results
3.4 Transaction Execution Flow
As mentioned above, when a node becomes an execution node and an endorsement node by
staking tokens, the endorsement nodes are randomly divided into multiple groups at each
epoch. After that Collaborative Rollup transaction processing can be performed in the figure 5,
First, the execution node is responsible for receiving transactions from clients, and after
executing a batch of transactions, it packs the execution result as an endorsement request in the
way described above. Then, the endorsement request is broadcasted to the corresponding set of
endorsing nodes in the current epoch. After the endorsing node finishes verifying the transaction,
if the transaction result is valid, it will broadcast the transaction after endorsing it and collect the
endorsement of the current set of endorsing nodes for this transaction. When an endorsing node
collects more than half of the transaction endorsements, it aggregates the signatures and
broadcasts them together with the endorsement contents to the settlement layer. At the same
time, the execution node itself can also collect the aggregated endorsements and send them to
the settlement layer. After verifying the aggregated signatures, the settlement layer updates the
chain status and completes the deduction of transaction payments and all endorsing nodes are
rewarded with transaction fees.
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Figure 5: Collaborative Rollup transaction execution
If during the verification process an endorsing node finds a transaction is invalid, it can also
mark the transaction as invalid and then endorse it. After collecting enough endorsed
transactions, these endorsements can also be aggregated and sent to the settlement layer, then
the only invalid transaction will be fined without changing the on-chain state. Through this
mechanism we avoid the situation when execution nodes intentionally send invalid transactions
for endorsement, which could result in a waste of computing resources of the endorsing nodes.
In addition, since each endorsing node verifies the transaction results, it is very easy to detect
malicious behavior of other endorsing nodes, including:
• Endorsing invalid transaction results;
• Marking valid transactions as invalid and endorsing them.
If an endorsement node finds malicious behavior mentioned above it can submit it as
evidence to the chain, then the malicious endorsement node’s stake will be slashed, and the
node that submits evidence can receive a reward.
4 Chaos Consensus
Consensus is the core components of blockchain, and Ethereum Express Network uses a hybrid
randomized DPOS protocol, which we named “Chaos Consensus”. This protocol is based on the
DPOS consensus and introduces a random selection mechanism for nodes, which allows more
nodes to participate in the consensus and increases the decentralization of the system. The BFT
consensus mechanism is used among the consensus nodes to provide the system with fast
confirmation of transactions. In addition, the traditional consensus process is disassembled into
separate transaction sequence consensus and execution result consensus, and together with the
execution process, a pipeline mechanism is formed for transaction processing, which greatly
improves the overall throughput of the system.
4.1 Protocol Overview
“Chaos” consensus is a protocol used to select the set of nodes to propose and validate blocks,
which is an important mechanism to introduce more nodes into the system to participate in the
consensus process. The consensus process is divided into different epochs according to a fixed
number of blocks, and the same set of validators is used in one epoch for proposing and validating
blocks.
4.2 Validator Set Generation
As with the usual DPOS protocol, any node can become a qualified validator by staking a certain
amount of tokens to the system contract, and other users can stake their tokens to a trusted
validator and become a delegator. The stakes of each validator are the sum of its own stakes and
the delegation of other users. The system then ranks the top 100 nodes according to the number
of stakes by the validator and selects the set of candidate validators. The top 15 nodes directly
become the active validators, and then the system randomly selects 6 active validators from the
remaining 85 nodes based on a jointly generated random number, forming a set of 21 active
validators. The newly selected active validators will come into effect in the next epoch. In addition,
the number of candidate validators can be increased as the node size grows in the future.
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4.3 Random Number Generation Algorithm
The generation of random numbers has to be done in a decentralized scheme, and it is also
necessary that the generated random numbers are verifiable and that the random numbers
generated by all nodes are guaranteed to be consistent. Moreover, in the process of generating
random numbers, no single node can influence or even manipulate the generation of random
numbers.
The random numbers of the Ethereum Express Network are generated in the MPC way, i.e.,
each participating node first generates its own random numbers locally, and then the system uses
certain operations to generate a public random number based on the numbers generated by each
node. In order to ensure that each node cannot know the random numbers of other nodes before
generating its own random numbers, Ethereum Express Network uses the cryptographic PVSS
(Publicly Verifiable Secret Sharing) scheme based on Shamir Secret Sharing in the random
number generation process. This scheme allows the current set of validators to collectively
generate a random number and uses cryptographic methods to ensure that no one can
manipulate the random number generation process. Process is:
• Validator D divides its secret S into n pieces (S1,...,Sn) according to the threshold t: encrypt
it according to the public keys (Px,...,PN) of n participants respectively, generate the
corresponding commitment (zero-knowledge proof), and share all of the information;
• Anyone can verify that the n value of D is valid without obtaining additional information;
• If necessary, participants can decrypt the share with their private key, and then share it
with others;

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Anyone can reconstruct the secret RS after obtaining ≥ t decrypted shares, and
RS == S.
The generation of a common random number is performed at each epoch. The current epoch
uses the random numbers generated by the previous epoch.
4.4 Streamline Consensus
In traditional blockchain systems such as Ethereum, the block generation process consists of
several steps:
• The miner (block proposer) packs the transaction and executes it;
• The miner set the execution results to the block header;
• Block propagation;
• Other nodes execute the transactions in the block;
• And then validate the execution results of the block.
It can be seen that a transaction undergoes two serial executions from the time it is packaged
to the time it reaches network-wide consensus, in addition to a serial propagation process, which
has a lot of room for optimization. We take a closer look at the structure of a block, which
contains a batch of transactions and various Merkle roots associated with the execution results.
The transaction list mainly represents the sequence of transaction execution, while the block
header can be seen as the result of the block execution. We can consider separating the
consensus of these two into a transaction sequence consensus and an execution result consensus.
4.5 BFT Consensus Flow
As shown in the figure 6, assuming that the block for consensus is block N, the BFT does not
consent to the entire block N, but the transaction list and some meta-data of block N, and the
block hash of block N − 2. After the BFT completes, the consensus on block N + 1 continues, and
block N is executed at the same time. In addition, since block N carries the hash of block N − 2,
the completion of consensus on block N also means the completion of confirmation on block N
− 2.
Figure 6: Pipelined processing of BFT, execution, and validation.

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5 Data Availability Sharding
Ethereum Express Network proposes a sharding mechanism based on block slicing, which splits
a complete block into a fixed number of pieces (shards) according to the storage size with certain
encoding rules. Each node can choose to store not only all the data, but also a fixed number of
pieces in a verifiable random sampling. In either case, the current storage block can be verified,
so that any node can become a verifying node by staking, allowing the whole system to achieve
greater decentralization. Moreover, since the validation node does not need to store all the data,
the overall capacity of the system increases with each node added, thus providing good scalability.
The operation and management of the data availability layer relies on the settlement layer,
including the acceptance and payment of storage transactions, the packaging and proposal of
integrated blocks of the data availability layer, and the final confirmation of this data availability
layer block. In addition, the staking and management in the Data Availability Layer validation
nodes also rely on the settlement layer.
Nodes are classified into the following types at the network level in figure 7:
• Light nodes, which keep only the block header and can verify the availability of the block
data through sampling to determine whether to accept the block header;
• A sampling node, which stores the block header and a partial sampling of the block and
can validate the block;
• Full node, contains an entire copy of blockchain ledger verifies blocks and block’s sharding,
provides fraud-proof.
Figure 7: Data availability layer network architecture

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5.1 Model and Assumptions
Network model assumptions
Network topology assumptions: nodes are linked in a P2P way, and at least one of the
network connections of each honest node is from an honest node;
• Network delay assumption: The maximum delay of the network is D. If an honest node
obtains a certain data in the network at time T, other honest nodes can obtain the same
data until the time of T + D.
Security assumptions
• More than 2/3 of honest nodes across the network;
• Honest storage nodes store sampled slices of all validated blocks.
5.2 Proof of Data Availability
Each transaction in the data availability layer is actually a request to store a piece of data that
can be represented by its hash. The hash value of each transaction in the current block can
form a Merkle tree, the root of which is stored in the block header as the data root of the
current block. The Merkle path from the data hash of each transaction to the data root of the
current block is the proof of availability of the data corresponding to the current data hash.
5.3 Block Production Flow
Since the protocol of the data availability layer does not need to validate transactions, but only
the parent hash is required to generate blocks, both sampling nodes and full nodes can become
validation nodes by staking a specific amount of tokens in the settlement layer and validate the
blocks through random sampling. The generation and validation of blocks in the data availability
layer are performed by the nodes in the settlement layer by submitting the evidence related to
the data availability layer to the blockchain in the settlement layer.
First, the user broadcasts the storage transaction to the blockchain, and the current
settlement layer node packs the valid storage transaction into a data availability layer block after
the transaction is paid and verified, and then writes the storage paid transaction and the storage
block hash to the settlement layer block, where the data availability layer block height and hash
are written to the block header. The nodes in the data availability layer are all light nodes in the
settlement layer, and the validation of the currently proposed block can be confirmed from the
settlement layer block header. When the settlement layer block containing storage payment is
executed, the storage fee will be deducted from the balance of storage transaction senders. But
the fee will not be transferred to related accounts temporarily, thus locking the storage payment.
In addition, the block body is the 2-dimension erasure code of the original data [1,3]. When
a block is produced, it is sliced into k ∗ k pieces by size and then 2k ∗ 2k pieces are generated by
applying the 2-dimension RS (Reed-Solomon) code. Then the Merkle trees are created for each
row and column of each fragment, so there are 2k + 2k = 4k Merkle trees, in the figure 8.
These 4k Merkle roots are finally formed into one Merkle tree, and the root of the tree is
used as the root of the whole block. Then the slices are broadcasted in a P2P way, and for the
full node all slices will be collected and restored and fraud proofs will be generated for blocks
that cannot be restored. For the sampling nodes, slices are randomly selected for sampling
according to a specific algorithm. When the sampling is completed, a random sampling
certificate is generated and it will be signed and broadcasted afterwards to the settlement layer.

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The settlement layer nodes collect the first c randomly sampled proofs that pass the
verification and then apply the zero-knowledge proof technology to compress them into
Figure 8: Block slicing and encoding of data availability layer
a single proof and submit it to the chain with the height, hash, and data root of the current
storage block as a transaction. After the settlement layer miner verifies the proof and waits for
2D time after the data availability layer block is proposed, and no relevant fraud-proof is found,
the data availability layer block is considered valid and the above transaction is packed into the
next block. Then the related rewards will be distributed to the settlement layer node of block
proposing, storage nodes of providing selected sampling proof and settlement layer node of
submitting confirmation proof. The rewards come from the deducted storage payments
described above.
If, after 4D time, if enough proofs cannot be received from the data availability layer or
fraud-proof is received from full nodes, the block height will be null and the previous storage
fee will be returned. For the scenario with fraud proofs, all staking amounts and rewards of the
nodes in the settlement layer of the proposed storage block will be slashed, and the full node in
the data availability layer that provides the fraud proofs and the node in the settlement layer
that packages the fraud proofs receive the rewards.
The remaining data availability layer nodes obtain the current status of the data availability
layer blocks by synchronizing the settlement layer block header state.
5.4 Random Sampling Proofs Based on zero-Knowledge Proofs
After the sampling node has completed verifying the availability of the block, it needs to sign the
sampling results and send them to the settlement layer nodes. After the settlement layer receives
enough successful sampling results, it needs to pack them together into the next block and pass
those over to other settlement layer nodes for verification.

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This requires the sampling node to provide proof of sampling, which able to
• Prove to the settlement layer node that it has performed the required number of samples;
Prove to the settlement layer that the pieces it sampled were chosen randomly in certain
rules, i.e., the randomness can be verified;
• Multiple sampling proofs can be aggregated into a small proof which can be verified quickly.
For the first two requirements, consider the following structure
• Block header of the DA layer contains block number, block hash, Merkle root of all
fragments;
• Proofs of all Merkle sampling segments;
• Signatures for the above data.
In order to ensure that all sampling nodes can perform random sampling, Instead of taking
the first few fragments as their own sampling results, we need to verify the randomness of the
sampling. Consider a random number generator, and the random number is seeded by the hash
of the current block combined with the public key of the node, i.e., seed = sha256(hashblock +
publicKey)
In this way we can force the node to perform sample slicing corresponding to the first random
numbers generated by this random number generator, so that the entire block slice is sampled
uniformly in general, thus ensuring the data availability of the block. The verification of the
random sampling proof is as follows
• Verify that the block header is proposed by the settlement layer;
• Verify the signature to ensure that this proof is generated by the staking node;
• Generate the index of the random sample according to rules above and verify that there is
a sampling atindex position;
• Verify the Merkle proof of sampling.
Consider the third requirement above. Because the large number of random sampling proofs
have to be collected (around 100), it requires a method to compress these proofs for faster
verification. Consider the combination of proofs of availability and zero-knowledge proofs. The
above verification process can be expressed as a zero-knowledge proof circuit system, where the
hash of the verified block and the set of public keys of the sampling nodes are public parameters
and the set of sampling proofs are so-called private parameters so that the produced proofs can
be small enough to perform fast verification.
5.5 Fraud-Proof
The availability sampling of the above blocks only ensures that there are enough slices
(shards) in the network to recover the corresponding blocks. However, some of the data in
these slices might be invalid, and hence solving the above problem by fraud-proof is necessary.
Fraud proof can be divided into proof of invalid transaction as well as proof of invalid data
encoding, and for the storage chain only the latter needs to be focused on. The generation of
fraud-proof relies on all the data, so it requires full nodes or a sampling node that collects all the
slices (shards) to generate it.

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When these nodes collect enough fragments but cannot decode them correctly, they need
to broadcast these fragments and their Merkle proofs, which are the so-called fraudproof, then
other nodes can verify them accordingly. The first submitted fraud-proof node will be rewarded.
6 Time Crossing Protocol
Ethereum Express Network believes that the future will be a world of interconnected chains.
This is why Ethereum Express Network has designed and developed the “Time Crossing” crosschain communication protocol to facilitate collaboration with assets from multiple ecosystems.
In addition, Ethereum Express Network has built a multi-chain structured network on top of the
cross-chain communication protocols to effectively meet the needs of application chains.
6.1 Cross-chain Validation
The key to cross-chain communication is how the target chain can effectively verify the crosschain messages sent by the source chain, and the Time Crossing cross-chain protocol enables a
decentralized, trustless way of cross-chain verification. To achieve this we need to establish a root
of trust between the two parties of the cross-chain. When establishing a cross-chain relationship,
both parties need to register the genesis block header into the other chain. The block header
contains valid consensus proof of the current block.
Therefore, the block header of the genesis block is the trusted root of both parties.
After that, both parties of the chains use it as the starting point to synchronize all subsequent
block headers in real-time, which means the relationship between the two is equivalent to a
mutual light node. Since the block header contains the set of valid validators in the next time
period, by tracing the block header, we can confirm the valid validators set of each other’s
blockchain, thus confirming the validity of all subsequent blocks by following the block headers.
Once both sides of the chains have a mutually trusted block header, the verification of crosschain messages can be achieved. Ethereum Express Network includes Merkle proofs of these
state changes when sending cross-chain messages. The other blockchain can use these Merkle
proofs to verify the validation of these state changes when verifying the messages and decide
whether to perform the corresponding operations on its side. This enables automatic and
decentralized cross-chain operations between the two blockchains, as in the figure 9.
Figure 9: Cross-chain validation

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6.2 Multi-chain Structure
With the cross-chain protocol, Ethereum Express Network has the ability to support multiple
chain structures.
Applications can build their own application chains using the settlement layer as a template,
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allowing for greater customization, which is ideal for GameFi-related projects. In addition, being
multi-chain helps in scalability, as Ethereum Express Network has theoretically almost unlimited
scalability through continuous relaying and bridging.
6.3 Cross Channel: Cross-chain Contract Calls
In addition to cross-chain assets, Ethereum Express Network also supports cross-chain contract
calls, meaning that DeFi applications from one chain can be directly called from another chain.
Ethereum Express Network has defined a Cross Channel protocol to handle contract calls
between chains.
6.3.1 Shadow Account
Shadow Account is a key part of Cross Channel. As the name implies, it is a shadow account of
the source chain account in the target chain, which represents the source chain account
operating in the target chain. The Shadow Account is generated in a deterministic way to ensure
that the source chain account corresponds to the Shadow Account, as follows.
addressshadow = addressgenerate(sha256(prefix + addresssource))
The Shadow Account can be seen as a normal account of the target chain to participate in
transactions. However, Shadow Account does not have a private key, and thus differs again from
a normal account in terms of transaction validation. Shadow Account transactions are generated
from the cross-chain transactions. We can embed the cross-chain transaction hash when
generating Shadow Account transactions, and write the generated Shadow Account transaction
hash in the execution result of cross-chain transactions. After that, we can confirm the validity of
the Shadow Account transaction by verifying the cross-chain transaction.
6.3.2 Cross Channel Call Flow
When the Shadow Account corresponding to the source chain account is created, the Ethereum
Express Network can start the subsequent cross-chain call operations. First, when the cross-chain
contract call transaction is packaged, the assets associated with the contract call are transferred
to the Shadow Account corresponding to the source chain account, and then the Cross Channel
protocol creates a new equivalent transaction with the Shadow Account as the initiator of the
contract call. Then the new transaction interacts with the target chain’s DeFi applications as if it
were a normal transaction on the target chain. Finally, the result of the interaction is returned
back from the Shadow Account to the source chain account, as follows in figure 10.
The idea of the Cross Channel protocol is to automate the previously required multistep, the
manual cross-chain contract calls in a verifiable way, solving the problem of cross-chain DeFi
composability.
6.4 IBC Compatibility
Since both Time Crossing and Cosmos IBC are based on the BFT consensus verification in terms of
cross-chain validation, this makes compatibility possible. Time Crossing is fully compatible with
the message format of the Cosmos IBC protocol at the cross-chain protocol level, allowing two
chains to call each other. In this way, Ethereum Express Network can also access the Cosmos Hub
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and seamlessly cross-chain with Cosmos’s various application chains, thus integrating into the
Cosmos ecosystem.
Figure 10: Cross-chain contract calls
7 Future Work
Ethereum Express Network’s future work includes the following areas: At the execution layer,
Ethereum Express Network will keep up with the latest developments in zkEVM and promote
the practicality, engineering and open-source of zkEVM technology through self-research and
collaboration. Ethereum Express Network will use it as the default execution engine for its chain.
In the settlement layer, we will advance our research of consensus protocols, including semisynchronous networks and pure asynchronous networks, to support the consensus of largerscale consensus nodes in various network environments. In the data availability layer, we will
continue to reduce trust assumptions and improve storage efficiency.
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