> For the complete documentation index, see [llms.txt](https://doc.cryptostone.org/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://doc.cryptostone.org/crypto-stone/crypto-stone-wp-cn/wa-kuang-xi-tong/10-ha-xi-suan-li-wa-kuang-suan-li-yu-proofofmining.md).
# 10. Proof of Mining
在比特币中，矿工通过哈希算力获得生成区块的概率。哈希算力越高，发现区块的可能性越高，但哈希算力无法任意改变比特币整体的发行规则或难度结构。也就是说，哈希算力并不是改变网络规则的权限，而是在既定规则中获得更多挖矿机会的计算资源。
CryptoStone 将这一概念抽象为适用于数字宝石挖矿的结构。在 CryptoStone 中，对应哈希算力的概念是 Mining Power，而 Mining Power 随时间累积形成的工作量就是 Proof of Mining，即 PoM。
| Bitcoin | CryptoStone |
| --------------------------- | ------------------------ |
| Hash Power | Mining Power |
| Proof of Work | Proof of Mining，PoM |
| ASIC / Mining Equipment | Staked STONX |
| Block Reward | Gem NFT |
| Network Difficulty | Pool Difficulty |
| Halving Scarcity Multiplier | |
| BTC Issuance | Gem NFT Minting |
| Miner | STONX Staker / Gem Miner |
PoM 并不是可以单独转移或交易的代币。PoM 是合约根据用户的挖矿参与和时间流逝所记录的链上工作量指标。同时，PoM 也不是网络共识算法。CryptoStone 中的 PoM 是协议内部数值，用于判断用户是否已在特定宝石池中达到 claim Gem NFT 的条件。
当用户 i 在特定宝石池 j 中质押的 STONX 数量为 si,j，锁仓期限对应的倍率为 Li 时，用户的挖矿算力 Pi,j 定义如下：
$$
P\_{i,j} = s\_{i,j} \times L\_i
$$
用户的 PoM 值会随着时间按如下方式累积：
$$
PoM\_{i,j}(t + \Delta t) = PoM\_{i,j}(t) + P\_{i,j} \times \Delta t
$$
其中，PoMi,j(t) 表示用户 i 在宝石池 j 中截至时间 t 所累积的 Proof of Mining 值。
PoM 按宝石池独立累积。例如，在 Diamond Pool 中累积的 PoM 只能用于 claim Diamond NFT，不能转换为 Ruby Pool 或 Sapphire Pool 的 PoM。该结构保护了各宝石池的独立性、稀缺性和挖矿难度。
挖矿算力更高的用户可以更快达到所需 PoM 阈值，但不能任意提高获得稀有宝石的概率，也不能选择特定等级的宝石。
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