# Hashrate Decay & Reward Math

<figure><img src="/files/lYL8sLImPYbZX97q98hc" alt=""><figcaption></figcaption></figure>

[<mark style="color:yellow;">**Fish Bit**</mark>](https://fishbit.org/)'s off-chain token farming system follows a fixed emission model similar to Bitcoin's. Rewards are designed to favor early adopters through a halving model and decaying yield mechanics.

***

## Emission Formula

[<mark style="color:yellow;">**Fish Bit**</mark>](https://fishbit.org/)'s total supply mirrors BTC math. It's modeled as:

$$
\text{Total Emission} = R\_0 \times \sum\_{i=0}^{\infty} \left(\frac{1}{2^i} \times 3{,}395{,}000\right) \approx 20{,}370{,}000 \text{ tokens}
$$

Where:

* **R₀** is the base reward (starting point of the system)
* Halving occurs every 3,395,000 blocks
* Final emissions fade to dust after \~40 cycles

Total cap: **\~20.37M tokens**, with \~3% allocated for early liquidity, remainder farmable.

***

## Mining Reward Distribution

Every tick, your share of rewards is based on your **Hashrate vs Global Hashrate**.

$$
\text{Reward} = \left( \frac{\text{Your Hashrate}}{\text{Total Hashrate}} \right) \times \text{Block Reward}
$$

* Rewards are off-chain during [Voyage Alpha](/voyage-alpha-phase.md)
* Live tallying every second (simulated blocks)
* No claim yet — mainnet unlocks this

***

## What You Need to Know

* Earlier = higher earnings
* More rods = more hashrate = more rewards
* Yield decays over time

***

{% hint style="success" %}
Just like Bitcoin, the smartest fishers play early and scale fast. Miss the curve? You'll be reeling in crumbs.
{% endhint %}


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