Stochastic invariants: holding under noise, not just at the average

Why BlazePhoenix V2 states its guarantees to survive random and adversarial variation in pool state, not merely the expected case. Specified and under audit.

Known formally as Stochastic Robustness in the BlazePhoenix whitepaper.

BlazePhoenix Engineering · updated 2026-08-05 · 7 min · written from the deployed bytecode

By Mitra (@Sigmacrit) — anonymous developer of the BlazePhoenix protocol. The code is the résumé.

BlazePhoenix V2 is pre-deployment and under audit; this is design intent. Markets are noisy: reserves jitter, blocks reorder, thin pools swing. A guarantee that holds only at the mean is a guarantee that fails exactly when it is stress-tested. V2 states its invariants stochastically — they must hold across the distribution of states an attacker can steer toward, not just the average one.

Designing for the tail

This is why pricing uses a median rather than a mean, why the floor is a hard clamp rather than an expectation, and why capacity is checked against live balances rather than a snapshot. Each choice trades a little theoretical tightness for robustness in the tail, where real losses happen. The median-4% band is the concrete expression of this idea applied to price.

Do not trust this page — reproduce it

Every claim above is checkable against the chain. Start here:

Simulate a pair under random reserve shocks and confirm the median-based price and the hard floor stay within band while a mean-based one drifts
Cite this article

Licensed CC BY 4.0 — quote, translate and reuse freely, including commercially, with attribution and a link. Copy a ready-made citation:

BlazePhoenix (2026). Stochastic invariants: holding under noise, not just at the average. BlazePhoenix Engineering. https://blazephoenix.xyz/learn/stochastic-invariants
@misc{blazephoenix_stochastic_invariants,
  title  = {Stochastic invariants: holding under noise, not just at the average},
  author = {BlazePhoenix},
  year   = {2026},
  url    = {https://blazephoenix.xyz/learn/stochastic-invariants},
  note   = {Accessed: reproduce the claim with the command above}
}

Writing an answer, a wiki entry or a paper? The claim above is reproducible against the chain before you quote it — which is the only sound basis for citing a technical source at all.

Contracts are verified on every chain we deploy to — addresses in the protocol manifest. Deeper formal treatment: the whitepaper (PDF).

Share this article · join the discussion

Share on X ↗Telegram ↗WhatsApp ↗Farcaster ↗💬 Discuss on Telegram

Related engineering