Hyper-parallel ZK coprocessing.
Verifiably compute over blockchain data at a big data scale and unlock new data-intensive and interoperable applications.
Lagrange is proud to announce a restaking commitment of $500M in ETH from
@ether_fi
to secure Lagrange’s Parallel ZK Coprocessor.
This agreement makes Lagrange the first coprocessor on
@eigenlayer
and the first ZK AVS to receive a retaking commitment.
Lagrange’s recent integration with
@base
is key for enabling verifiable computation at a large scale for dApps.
Numbers so far 🔥
✅ 2 products - State Committee and ZK Coprocessor
✅ 35 Operators
✅ 13K+ ZK Coprocessor Queries
✅ 22K+ State Proofs
✅ $3.2B+ in Restaked ETH
1/ Lagrange has launched as the first ZK AVS on
@EigenLayer
mainnet!
Interoperability protocols and dApps can now leverage Lagrange's new ‘shared security’ paradigm for robust security, decentralization, trust minimization and cost efficiency 💪
1/ The future of cross-chain interoperability will be built around dynamic and data-rich relationships between multi-chain dApps.
Lagrange Labs is building the glue to securely scale zero-knowledge proof based interoperability.
Today, we’re announcing our strategic partnership with
@PolyhedraZK
.
By integrating Lagrange State Committees, secured by the
@EigenLayer
restaking, and zkBridge we can extend trustless interoperability to any optimistic rollup that settles on Ethereum.
We are excited to announce that we'll be securing
@LayerZero_Labs
V2 Protocol as a Decentralized Verifier Network (DVN).
The Lagrange State Committee DVN is a ZK light client for optimistic rollups that combines
@eigenlayer
restaking with Lagrange’s MapReduce coprocessor.
ZK x Restaking is reaching new heights ✨
Lagrange is excited to announce an additional $1.5 billion in restaking commitments to secure its hyper parallel ZK coprocessor.
Each LRT protocol will also work to integrate Lagrange's ZK coprocessor into its core protocol stack.
State Committees on EigenLayer via Lagrange.
Combining
@eigenlayer
's shared security with Lagrange’s MapReduce coprocessor to secure cross-chain interoperability.
Lagrange and
@fraxfinance
have integrated to enable cheap and fast cross-chain queries from modular rollup Fraxtal using Lagrange’s ZK Coprocessor 🤝
This unlocks new types of big data dApps that weren't previously feasible.
More here:
1/ TLDR below:
1/ Introducing a new paper from Lagrange's cryptography research team:
"Reckle Trees: Updatable Merkle Batch Proofs with Applications"
Reckle Trees is the core research underpinning Lagrange's ZK Coprocessor and Verifiable Database solutions.
Read the paper:
As one of the first AVSs to go live on
@EigenLayer
mainnet, we have now reached $1.8 Billion in total restaked ETH to the Lagrange State Committee network in only 1 week 🎆
Soon our ZK Coprocessor will also be launched as an AVS on EigenLayer mainnet - stay tuned!
Since launching as the first ZK AVSs on
@eigenlayer
, Lagrange’s State Committees have now grown to be secured by more than 30 independent operators:
[1/8] The decentralized network includes ⬇️
Data-rich dApps and efficient computation on historical data are coming to restaked rollups!
We are excited to announce a partnership with
@alt_layer
to bring the first ZK coprocessor to the restaked rollup ecosystem, through Lagrange’s parallel prover:
1/ With the explosion of tooling for modular blockchains, there has been an increased interest in application specific blockspace.
Today we’ll explore a central question:
How exactly do we plan to connect state across all these new chains?
We're thrilled that Lagrange Labs Chief Scientist
@chbpap
was invited to present Reckle Trees to
@ethereum
Foundation last week.
Reckle Trees is the core research enabling the hyper-parallel and updatable computations of our ZK Coprocessor.
Recording:
Lagrange State Committees (LSCs) have integrated with
@arbitrum
to enable trustless and efficient cross-chain state access for Arbitrum developers!
Details:
TLDR 👇
1/ Introducing Recproofs, a new vector commitment designed for concurrently proving both batched set inclusion and dynamic MapReduce style computations.
Building a Light Client for Mantle with Lagrange State Committees.
Bringing shared security, fast finality, and new financial primitives to Mantle Network using State Committees as a ZK light client.
1/5 We’re excited to share that Lagrange is integrating with
@polymer_labs
to supercharge blockchain interoperability!
Our ZK primitives + Polymer’s IBC-driven interoperability = ⬆️ efficiency, reliability and scalability for Ethereum rollups.
Read more:
Lagrange's ZK Coprocessor is now integrated with
@base
, a secure, low-cost and dev-friendly Ethereum L2!
One step closer to enabling developers to build with verifiable compute at big data scale 🦾
1/4 More details below
We’re excited to announce a strategic partnership with
@eigenlayer
.
We’ll be collaborating to bring restaking to the Lagrange State Committee infrastructure, built using the Lagrange ZK Big Data stack.
Modern dApps increasingly depend on secure access to cross-chain and multi-chain states.
Today, we introduce Lagrange State Committees, a trust-minimized architecture for creating inductive zero-knowledge state proofs for arbitrary chains and rollups.
Since we announced our fundraise, we’ve received a ton of (great) questions about what exactly is “zk Big Data”.
Today we’re publishing our first primer to start unpacking these questions and more:
After a little over a week of being live on
@eigenlayer
mainnet as an AVS, Lagrange State Committees have already secured more than 1.1 million blocks! 💫
Ok…
@lagrangedev
state committees functioning as an
@eigenlayer
AVS to enable ridiculously secure optimistic rollup interop via zk light clients with shared security baked in, is massive.
Unbounded # of nodes. Unlimited scale.
We’re excited to share that our Reckle Trees research has been accepted to the ACM Conference on Computer and Communications Security
@acm_ccs
, a top conference exploring cutting-edge cryptography and blockchain research!
Read the Reckle Trees paper:
Lagrange is partnering with
@OmniFDN
to enable global processing for data-rich applications 🚀
Lagrange’s hyper-parallel ZK coprocessor + Omni’s low latency interoperability between
@Ethereum
’s rollups = developers can build complex and data-heavy dApps, while accessing all of
We’re excited to share how
@lagrangedev
will leverage Omni to enable global coprocessing across the Ethereum ecosystem.
This opens the door to a new category of applications powered by big data, accessible from any Ethereum rollup.
1/ The OP Collective’s RetroPGF provides a mechanism to incentivize public goods that benefit Ethereum and Optimism.
Today, we purpose a design using our ZK Big Data stack that enables verifiable reward distributions based on on-chain activity.
1/3
You must have read the exciting news on our ALT airdrop SEASON ONE for
@EigenLayer
’s restakers.
Restaked rollups will be a game-changer in 2024 & we're thrilled to put it at the core of our offerings.
Now let's get the details on the qualified LST/LRT Tokens 🧵⬇️
1/ We’re excited to announce that our research team will be presenting their work at The Science of Blockchain Conference at Stanford in August.
Title: “WIP: Batch Merkle Proofs via Recursive SNARKs with Applications to Updatable Zero-Knowledge Proofs”
This week, Lagrange will be releasing new research combining folding with its ZKMapReduce stack.
Did you miss the original Recproofs paper and our talk at SBC? Don’t worry, we’re summarizing everything below so you can get up to speed fast 👇
This latest funding will accelerate the development of Lagrange's ZK Coprocessor, which drastically increases the scale of computation available to dApp developers and unlocks new classes of use cases involving big datasets, like on-chain liquidity or even running AI/ML models.
After only 2 weeks on mainnet, Lagrange's State Committees are now secured by $4 Billion restaked ETH 🔥
Our network currently consists of more than 37 operators and 16,000+ individual restakers.
Thrilled to share that Swell L2 will be integrating with Lagrange’s ZK Coprocessor. Lagrange’s ZK Coprocessor will empower developers to build new scalable, secure and data-rich applications within Swell’s DeFi ecosystem, rooted in the foundational security of Ethereum 🤝
Dapps
Swell L2 will be integrating with Lagrange’s ZK Coprocessor.
@lagrangedev
will unlock new use cases for dApps on Swell L2 by enabling them to access a range of zk-powered building blocks that share in the security and decentralization of Ethereum.
🌊⛓️
Congratulations to Renzo for beginning delegations to operators.
We are proud to have
@renzoprotocol
and
@luganodes
as participants contributing to secure the Lagrange network with an additional 270,000 ETH.
To learn more about the Lagrange State Committee DVN please read about our full technical architecture below:
For more information on the Lagrange product suite, research, and technical architecture, visit .
Excited to announce our partnership with
@lagrangedev
! 🔥
Puffer is committed to delegating up to $500M of native restaked $ETH to Node Operators of Lagrange’s ZK Coprocessor. 🧠
1/ How does one combine Lagrange’s Recproofs and ZKMapReduce (ZMKR) stack with folding schemes?
Explore in this post how
@nikkolasg1
enhanced the vanilla Nova implementation to support binary tree based folding to enable ZKMR, Recproofs and more.
PSA: We want to emphasize that there has only ever been one official Lagrange Discord server, which is linked below and in our profile. Be safe in engaging with any online entities and know that we'll never solicit funds from you to access our community.
@Polymer_Labs
🤝
@lagrangedev
Open Interoperability standards will create a new marketplace for secure state proofs.
Congratulations to the Polymer Labs team for the release of their white paper today ⚡️
It establishes an open interoperability economy creating multiple marketplaces for all types of participants (users, developers, infra operators).
In this economy, an IBC client can be everything from a
@lagrangedev
state commitee to a programmable native L2 bridge.
(6/8)
This is the latest of many milestones for Lagrange, incl:
⚡Integrations with top protocols, including
@0xMantle
@eigenlayer
@base
⚡Launching as the first ZK AVS on EigenLayer, with over $5B in total restaked ETH in the first 3 weeks
⚡ Our first ZK Coprocessor testnet, Euclid
We are excited to be working closely with the trailblazing team at
@0xMantle
to deploy the Lagrange State Committee as a light client for Mantle Network.
@0xMantle
’s commitment to providing $10mm of initial stake will serve as a foundation for trust-minimized and
@eigenlayer
1/ Mantle is taking a significant step by committing to stake $10M worth of $MNT from Mantle Treasury.
📍 This initial investment supports
@lagrangedev
state committee deployment within the Mantle Network.
👉
More in the 🧵👇
@swellnetworkio
has committed to delegate up to $500 million in restaked ETH to operators of Lagrange.
Additionally, Swell will incorporate Lagrange's ZK Coprocessor on its L2 and explore using it for repricing its rswETH token.
The
@eigenlayer
ecosystem is booming 💥 with the growth of AVS projects! And we are thrilled to introduce
@lagrangedev
as our latest collaborator and AVS client on EigenLayer!
🧵
5/ Our solution is ZK Big Data: A novel proof system built for generating large batched storage proofs, concurrently with dynamic zero-knowledge distributed computation.
Our ZK Big Data stack supports any distributed computing model, ranging from MapReduce to distributed SQL.
Yesterday, we announced the Mainnet launch of our State Committees on
@EigenLayer
.
We are proud to share that after only 24 hours, there is already over $560mm in ETH restaked to the Lagrange State Committee network, along with a growing list of 22+ independent operators.
"You get to pick your DA, you get to pick your execution environment, you get to pick your sequencer and very soon you'll be able to pick your coprocessor".
Watch
@Ismael_H_R
discuss how Lagrange intersects with the modular stack on a new episode of Modular March by
The breakout apps built atop of the modular stack will require highly performant onchain technology.
As the infrastructure is built in the modular ecosystem and top level builders continue to build novel applications, we will see more and more demand for intensive onchain
Infinite Layers Episode 3: Lagrange
Verifiably compute over historical storage, receipt or transaction data from your smart contract at a big data scale featuring
@Ismael_H_R
and
@chbpap
of
@lagrangedev
We are proud to announce that
@KelpDAO
has agreed to use our ZK coprocessor for their points program and for replacing their Beacon Root Oracle.
Here's to one ZK AVS in production and a second on the way 🫡
Excited for our partnership with
@lagrangedev
⛵️
Kelp has committed $500M in staked $ETH to help secure Lagrange.
Together, we're taking strides towards building for a more secure, decentralized and accessible restaking experience.
Let's bring on the infinite sum games! 🌱♾
Did you enjoy digging into Recproofs last week?
Do you want to join an experienced research team who is pushing the boundaries of verifiable data-parallel computation?
We’re hiring a cryptography engineer to join our growing team.
Apply now 👉
3/ In short, through combining EigenLayer restaking with Lagrange’s proof constructions, we are creating a shared zone of security for all cross-chain protocols.
Join us for a Twitter Space with
@0xMantle
and
@eigenlayer
tomorrow, Jan. 26 at 5pm UTC / 9am PST.
Learn more about the first light client for optimistic rollups deployed on Mantle Network, powered by EigenLayer's restaking and
@lagrangedev
's MapReduce coprocessor.
2/ Lagrange and
@ether_fi
have also agreed to use Lagrange’s ZK Coprocessor to replace the oracle network used to rebase the eETH token.
This makes the first LRT protocol to adopt Lagrange's ZK technology as part of their core infrastructure.
We'll be co-hosting a ZK hacker house with
@1kxnetwork
this July at
@EthCC
.
If you're building an exciting project in the ZK space or are passionate about research into verifiable computation apply below!
Excited to bring back our zk hacker house for ETHcc! Cohosted by
@1kxnetwork
&
@lagrangedev
- free accommodation, meals during conference & hackathon
- zk discussion groups led by researchers/projects
- new frens
Details 👇🏼
The Lagrange Labs team is going to
@EthCC
!
Whether you’re looking for alpha on our new ZK Big Data proof construction or just want to chat about cryptography, don’t hesitate to swing by.
🇫🇷 We looking forward to meeting you all 🇫🇷
The Lagrange Labs team was out in force at
@EthCC
! It was great seeing all of our friends and partners again in person in 🇫🇷
For those who missed a chance to meet
@Ismael_H_R
,
@chbpap
,
@s_shravan
or
@AmirRezaizadeh
, we’re recapping everything 👇
The Lagrange State Committees (LSCs) are a simple and efficient ZK light client protocol for optimistic rollups.
The LSC light client is designed to support all major optimistic rollups (ORUs) including, Arbitrum, Base, Mantle and Optimism.
2/ Lagrange State Committees provide a mechanism for generating zero-knowledge state proofs for optimistic rollups based on attestations from restaked EigenLayer operators.
These proofs can be used by messaging or bridging protocols to enhance their underlying state security.
There are a number of teams in the interoperability space that are moving the industry towards a future where users can move assets across different blockchains with both strong security and great user-experience.
@0xMantle
,
@Polymer_Labs
,
@Hyperlane_xyz
&
@OmniFDN
5/ Lagrange will soon be deploying its ZK Coprocessor as an AVS on
@eigenlayer
. Operators will be able to participate in Lagrange's proving network and contribute to its hyper parallel coprocessing.
We're thrilled to announce that Lagrange Labs will be receiving a grant from
@Yale_Ventures
' Roberts Innovation Fund thanks to the great research leadership of our Chief Scientist
@chbpap
!
We're thrilled to announce the inaugural cohort of the Roberts Innovation Fund, an accelerator fund to support bold
@YaleSEAS
faculty inventions.
View the 10 awarded projects:
6/ Additionally, we’re building a simple, secure and extensible infrastructure for sharing cross-chain security, called Lagrange State Committees.
Lagrange State Committees bring fast and provable one-block finality to any optimistic rollup through succinct zero-knowledge proofs
2/ While application specific modular blockchain are more scalable and customizable than their monolithic counter parts, they often lack the same inherent cross-application transaction atomicity and state visibility.
Strange Water 54 - Upgrading Smart Contracts with Native Data Analysis
Modular blockchains now: rollups & data availability... but what's next?
This week
@Ismael_H_R
answers:
@lagrangedev
is bringing modern databases & analysis on-chain!
SW 54 Link:
3/ Lagrange’s parallel prover is horizontally scalable so proving workloads can be distributed across thousands of restaked workers simultaneously.
With
@ether_fi
's commitment, the liveness of Lagrange’s proof generation will be secured by $500mm in native ETH.
6/ Euclid Testnet focuses on testing foundational features of our ZK Coprocessor and Verifiable Database.
Additional features will be rolled out soon:
- Queries from L2s
- Self registration of datasets and custom queries
- And more...
👉 Testnet Docs:
4/ As contract states continue to fragment across new settlement and execution layers, there are increasingly relevant questions about how single chain dApps can trustlessly reference multi-chain contract states.
4/ In the article, we also explore Lagrange's ZK MapReduce infrastructure as a new form of interoperability optimized for a world with increasing state fragmentation.
6/ You can try out the cross-chain querying from Fraxtal with Lagrange's ZK Coprocessor now, with a fun example involving the Pudgy Penguins NFT collection:
2/ Euclid Testnet is a key milestone in the development of Lagrange's ZK Coprocessor.
For the first time, developers can build data-rich dApps leveraging large scale compute over historical data directly from their smart contracts.
5/ Beyond simple queries, the integration also enables dynamic DeFi use cases on Fraxtal, such as blockspace incentives based on cross-chain positions or dApps that can integrate veFXS positions into their contract logic, irrespective of which chain they're staked on!
3/ What Lagrange + restaking via EigenLayer means for cross-chain interoperability:
✅Super-linear economic security
✅Reduced overhead and increased scalability
✅Fast to finality
More on Lagrange's ZK building blocks and how they can supercharge dApps and use cases:
Today we’re releasing part two of our multi-part article series focusing on how Lagrange State Proofs can unlock new use cases in decentralized identity, DeFi, protocol governance and NFT composability.
2/ Last week, we announced State Committees on EigenLayer via Lagrange.
Today, we’re excited to announce our aim to bring State Committees as a light client to Mantle Network.
We welcome all Mantle community members to join our discussion on the Mantle Governance Forum.
Today we’re releasing part-one of a multi-part article series focusing on how Lagrange State Proofs can unlock new use cases in decentralized identity, DeFi, protocol governance and NFT composability.
Rather than requiring cross-chain developers to bootstrap their own isolated security, each LSC can be integrated with existing protocols as an additive layer of security.
In effect, this lets restakers provide security-as-a-service for downstream interoperability protocols.
For more details, please read the full article. For more information on the Lagrange product suite, research, and technical architecture, visit or follow
@lagrangedev
for updates, announcements, and new developments.