LIMBO PROVABLY FAIR VERIFIER

Think of Limbo as Crash with the animation deleted. No rocket, no timing, no cash-out reflex — you commit to a target, the multiplier appears, done. What remains is the purest expression of the provably-fair idea: a single float, one inversion, one comparison. That austerity makes Limbo the fastest game to audit and the clearest one for understanding how seed-derived randomness behaves.

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HOW LIMBO RESULTS ARE CALCULATED

After checking that SHA-256(revealed server seed) matches the hashed seed you were shown, Limbo turns a single random float into a multiplier with a 1% house edge. The float is the first 4 bytes of HMAC-SHA256(serverSeed, "clientSeed:nonce:0"); the conversion differs by casino:

1. Stake (stake.com/provably-fair/game-events): max(floor(1e8 / (float × 1e8) × 0.99 × 100) / 100, 1). Anything that would fall below 1.00x is shown as 1.00x.
2. Shuffle (help.shuffle.com 9286069): 0.99 × 2^24 / (2^24 × float + 1), rounded down to two decimals. Shuffle’s published formula has no 1.00x floor, so the tool shows the value exactly as the formula gives it.

Dry run from Shuffle’s own article: server seed def, client seed abc, nonce 1 give the float 0.43053963 and a Shuffle multiplier of 2.29x (Stake’s formula gives 2.29x for the same float too). Our earlier version of this tool added 1 to the float before inverting and had no 1.00x floor; it was off by a cent in about 1% of rounds and could show an impossible 0.99x. That is fixed (22 Oct 2026).

WHAT THE MULTIPLIER DISTRIBUTION ACTUALLY LOOKS LIKE

Because the result is essentially 0.99 divided by a uniform float, the chance of clearing any target m is about 0.99 / m. Concretely: a 2.00x target lands roughly 49.5% of the time, 10x about 9.9%, 100x about 0.99%, and 1,000x once per ~1,010 bets. The median round sits near 1.98x — half of all multipliers are below it — and at every target your expected return is the same 99%. So a long drought under 5x is not the site “cooling you off”; it is a heavy-tailed 1/x curve doing what heavy tails do. Knowing the curve is the difference between auditing a game and just glaring at it.

WHY BOTHER CHECKING A NUMBER?

Precisely because Limbo shows you nothing else. With no animation to scrutinise, the entire round is one printed multiplier — and the natural fear is that the multiplier was chosen after the casino saw your target, always landing a hair beneath it. Recomputing the round dissolves that fear: the float came from a server seed committed by hash before the bet and a client seed the operator never controlled, so the value existed independently of anything you typed. One caveat survives every successful check — the 0.99 factor is a permanent 1% house margin — and the underlying commitment scheme is explained in full in our guide.