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LZ Research paper argues validators can coordinate a risk-free equivocation attack on proof-of-stake
LZ Research argues validators can coordinate an equivocation attack that profits at any gain above zero while failed attempts escape slashing. The paper tests no live chain, but in its model the size of a validator's bond no longer decides whether the attack pays.
The Investor · Invest desk

What happened
- Hao Chung and Chen-Da Liu-Zhang posted the paper, titled "Too Late to Slash," to arXiv on September 24, 2026, as 2609.30509.
- Equivocation, the cheating the paper studies, is a validator signing two conflicting blocks and so vouching for two incompatible histories at once.
- The authors say their coordination strategy is an ex post Nash equilibrium, staying optimal even after participants learn how the attack turned out.
- The work is theoretical and does not analyze any specific proof-of-stake protocol or token.
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Why it matters
- decision Protocol designers who relied on after-the-fact penalties now have to weigh defenses aimed at the coordination step, before any conflicting block is signed.
- cost Stakers keep locking collateral that clearly covers individual mistakes and uncoordinated misbehavior, while the paper disputes whether it covers validators who plan together.
- exposure Any estimate of a chain's security that counts slashing losses as the price of an attack now rests on an assumption with a published challenge against it.
Proof-of-stake security rests on one inequality. An attack is supposed to make sense only when its payoff exceeds the value of the stake the attacker puts at risk [5]. The protocol needs that price because a validator's work is mostly signing messages, and signing a second, conflicting one costs almost nothing computationally [8]. Slashing supplies the price by automatically destroying some or all of a cheater's staked funds [2]. A 2023 a16z crypto report emphasized slashing as the way to raise the cost of corruption and collusion among validators [13].
Chung and Liu-Zhang go after the loss side of that inequality. According to the paper, their protocol solicits equivocation so that validators lose nothing if the attack falls short of a critical threshold. With too few signers, nobody is slashed; with enough, the attack proceeds [3]. Combine that with the authors' claim about gains and the attacker's condition changes from a payoff larger than the stake to any payoff above zero, with a failed attempt costing nothing [1]. Crypto Briefing interprets the title to mean that by the time the protocol can punish anyone, the attack has either succeeded or quietly dissolved without consequence [9].
The deal term I find most interesting is the size of the bond. The authors say the gain stays positive however small it is relative to the amounts staked [15]. In their model, then, a network that raised its collateral requirement would lock up more capital (capital stakers could otherwise deploy elsewhere) and leave the attacker's decision unchanged [2].
It could go two ways from here. The practical steps the model may abstract away, validators finding each other, trusting the coordination process and acting in concert [7], may be where any real attempt breaks down, and the result stays on arXiv. Alternatively, someone runs the protocol against a named chain's actual slashing rules and it holds, and the paper becomes a specific engineering problem for that chain.
I think the first outcome is more likely in the near term. Every one of those steps requires validators to trust strangers before a single conflicting block exists. The counter-case is that the paper's protocol exists precisely to handle coordination, so the hurdle may be smaller than it looks. This view is wrong if a follow-up paper or a live test shows the protocol working against an existing network's rules.
What to watch
- An application of the 2609.30509 coordination protocol to a named proof-of-stake chain's actual slashing rules.
- Proposals from protocol designers for mechanisms that make validator coordination harder or riskier to organize.
- Peer review or a published rebuttal of the paper's ex post Nash equilibrium claim.