在2022/6/E Pi Network進行了第一次的主網映射(Migrate)，第一次映射時的Pi幣包括「自己挖掘的部分」、「安全圈成員通過KYC後的獎勵」、「節點獎勵」、「應用瀏覽獎勵」及「鎖倉獎勵」(但不包含團隊給的加成獎勵，無論他們是否通過KYC)，這部分總和將會依2022/3/12提出的承諾鎖倉(Lockup)設定，照您所設定的鎖倉%數及時間來進行映射，意即您如果承諾鎖倉100%/3年，則在第一次映射時會將可以映射的所有Pi幣，照著這個設定下去鎖定；而在第一次映射後，將會迎來第二次的映射(未開放)，此時將會有第二次調整鎖倉設定的機會，而注意的是，如果您第二次有進行調整，代表您的每小時挖礦速率(π/h)也會跟著調整。
Ps. 題外話，我覺得這段文字的Bach應該是寫錯了，Bach是指"音樂家巴哈"，或是"Bachelor的略語~過單身生活的意思"，應該要是"Batch adjustment"批量調整才對。
How Lockups work
After you pass identity verification (KYC), you can voluntarily lock up a portion of your Transferable Balance to earn a right to mine at a higher rate.
The mining boost is calculated based on the amount of locked up π and lockup duration. For details, read the economic model section below.
If you have verified your identity (KYC), the first Mainnet transfer will occur upon Mainnet launch. Thereafter, transfers will occur periodically. Any updates made to your lockup configuration will take effect in your next Mainnet balance transfer.
You can decide to change your lockup configuration anytime you want as an overall account-wide setting in the Pi app. You can even preselect these settings before you are KYC'ed or ready to migrate to the Mainnet. As you and your referral team/security circle pass KYC and new mining occurs, more of your Mobile Balance will become transferable. At each transfer to Mainnet, these preselected settings of lockup duration and percentage will automatically apply to the amount of balance transferred, resulting in two types of balances on the Mainnet: lockup balance and free balance, both of which will be recorded on the Mainnet blockchain and reside in your non-custodial Pi wallet. Lockups cannot be reversed once confirmed and must remain locked up for the entirety of the chosen duration due to the nature of blockchain.
As the lockup amount is accounted for by the percentage of your transferred balance, you will have to lock up the same percentage of the new transferred balance to maintain the same lockup mining boost. This is done easily by keeping your lockup configuration setting consistent for every recurring transfer to Mainnet. On the other hand, if you do not lock up the same percentage of π in your later transfers as your initial Mainnet transfer, your lockup mining boost will decrease. If you make any changes to your account-wide lockup setting, the change will take effect on the next transfer of your balance to the Mainnet.
This account-wide lockup setting allows you to lock up a maximum of 100% of your transferable balance. After Mainnet launches and you can transfer your balances, you can also lock up more Pi directly on the Mainnet through a slightly different lockup interface later on. At that time, you can lock up as much as 200% of their already-transferred Mainnet balance acquired from their previous mining. The additional lockup allowance for more Pi than individually mined by the Pioneer can come from utility-based Pi apps transactions, i.e. making Pi from selling goods and services.
Lockup Economic Model
At Mainnet, the lockup reward is meant to support a healthy and smooth ecosystem and incentivize long-term engagement with the network, while the network is bootstrapping the economy and creating demands. It is an important decentralized macroeconomic mechanism to moderate circulating supply in the market, especially in the early years of the open market when utilities are being created. One important goal of the Pi Network is to create a utility-based ecosystem of apps. Transactions for real goods and services in the ecosystem, rather than just speculative trading, are intended to determine the utility of Pi. As we launch the Enclosed Network phase of the Mainnet, one of the main areas of focus will be to support and grow the Pi app developer community and nurture more Pi apps to grow. In the meantime, Pioneers can choose to lock up their Pi to help create a stable market environment for the ecosystem to mature and for more Pi apps to emerge and provide compelling use cases for spending Pi – to ultimately create organic demands through utilities.
在主網期間，鎖倉也意味著去更好地去支持生態能有個健康、穩固的發展，並且也促使市場、生態網路朝穩健的長期的方向前進，達成一個良好的供需平衡。透過去中心化的總體經濟機制，來提高市場的流通性是很重要的，特別是對一個極度早期的且生態還在發展的項目來說更為需要。Pi Network其中一個最主要的目標就是創造一個以實際可應用的APP為基礎的區塊鏈生態，可以用Pi幣在這個被建構出來的生態系中，來交易各種商品和服務，為Pi創造實際可運用的價值，而不只是僅有投機性的交易。在封閉式主網期間，有一個極其重要的任務，就是支持和發展Pi APP開發者社群，並且幫助更多Pi APP孵化(創業)成功，而在此同時，先鋒也可以選擇鎖定他們的Pi，來幫助創造一個更穩定的市場，讓整個Pi生態成熟穩固茁壯，使更多Pi APP誕生，用更多Pi支付成功的案例來創造Pi的價值 - 最終形成透過這些應用形成一個穩固供需自主的生態體系。
The lockup reward formula is reprinted here:
L(B) = Lt • Lp • log(N) • B, where:
Lt is the Lockup Time period multiplier of B.
0 → Lt = 0
2 weeks → Lt = 0.1
6 months → Lt = 0.5
1 year → Lt = 1
3 years → Lt = 2
Lp is the Lockup Percentage multiplier of B, where the Lockup Percentage is the lockup amount over the Mainnet Balance transferred from one's previous mining rewards (Lb), and the Lockup Percentage multiplier is as follows.
0% → Lp = 0
25% → Lp = 0.25
50% → Lp = 0.5
90% → Lp = 0.9
100% → Lp = 1.0
150% → Lp = 1.5
200% → Lp = 2
log(N) is the logarithmic value of the total number of previous mining sessions (N).
B is the base mining rate which is adjusted based on the available pool of π to distribute
Pioneers will have the opportunity to voluntarily lock up their Pi to earn the right to mine at a higher rate. First of all, the prerequisite of the lockup reward is that the Pioneer must be actively mining. Without mining in the first place, there will be no lockup rewards for any inactive mining sessions, even if Pi is locked up. As expressed in the formula above, all that the lockup does is to provide multipliers to B, so there will be no lockup rewards if B is 0 (which means the Pioneers is not mining).
Secondly, the lockup reward is positively associated with the contribution to the lockup, i.e. the duration of the lockup time period (Lt) and the amount locked up. However the lockup amount is accounted for by the percentage of a Pioneer's total Pi mined (Lp). The maximum Pi that a Pioneer can lock up is twice as much as their Mainnet Balance that got transferred from their prior mining in the mobile app (Lb), i.e. 200% Lb. The reasons for having a 2X maximum lockup amount of one's transferred Mainnet Balance (Lb) are to 1) prevent exploitation of the lockup reward and 2) encourage other contributions to the Pi ecosystem, such as further boosting their mining, running nodes and using apps. This, in a sense, favors Pioneers who mine and make other types of contributions to the network.
其次，鎖倉獎勵也與鎖倉的數量比例和鎖倉的時間成正比，先鋒們可以鎖定Pi的最大數量，是他們可以遷移到主網幣量的200%，而為什麼僅限定至多2倍的鎖倉量，主要的理由有二：(1) 防止鎖倉獎勵的濫用 (2)鼓勵人們對Pi生態作出貢獻，例如想辦法增加他們的挖礦速率、運行節點和使用Pi APP，從某種層面上來說，這也鼓勵先鋒們作出更多有利Pi網路的貢獻。
Thirdly, Log(N) offers a higher lockup incentive to Pioneers who have a long mining history and presumably a large transferable balance to lock up. While the lockup reward formula generally favors equality by accounting for not the absolute amount but the percentage of their transferred balance (Lp) — which allows smaller accounts with a short mining history to lock up small amounts and yet receive the same lockup reward multiplier as big accounts — we need to add a Log(N) factor that accounts for miners with a long mining history, to counterbalance the bias in favor of Pioneers with small balances and provide enough incentive for long-history Pioneers with bigger balances. However, the effect of mining history on lockup rewards also needs to be capped. Thus, the formula applies a logarithm to the number of previous mining sessions N. For example, if a Pioneer mined almost everyday for the last 3 years, their total previous mining sessions (N) will be about 1,000. In this scenario, Log(1,000) equals 3, adding another multiplier to B in their lockup rewards. Keep in mind that to achieve meaningful lockup rewards for long-mining-history Pioneers, the amount of Pi you have to lock up is much more than smaller accounts.
Fourthly, one Pioneer can voluntarily have multiple lockups at different times with different amounts and durations. The calculation of the total lockup rewards for this Pioneer with i number of different lockups is to find the total lockup reward multiplier of B, as expressed in the formula below. The formula below is the equivalent to the lockup reward formula above, with the only difference being that it accounts for multiple lockups of the same Pioneer to calculate their total lockup rewards, e.g. different durations (Lti) and different amounts (Lci) of each lockup at different time:
Lockup combination formula: L(B) = SUM(Lt x Lc x log(N) / Lb) x B
鎖倉組合公式：L(B) = SUM(Lt x Lc x log(N) / Lb) x B
The purpose of this formula is to calculate the total lockup rewards based proportionally on each lockup's amount (Lc) over the total Mainnet Balance from previous mining (Lb) as a weight, multiplied by their respective lockup time period (Lt) and Log(n). So that, even though there are multiple lockups of the same Pioneer, more lockups with different settings will proportionally add to their total lockup rewards. The values of Lt, Lc, and log(N) are calculated and multiplied for each lockup i and then summed across various i's, which is then divided by the value of Lb at a given mining session, to arrive at the value of L(B) for that mining session. This formula ensures that regardless of the Lb, as long as the Pioneer maintains the same percentage of their lockup amount over their Lb, the total lockup rewards multiplier will remain the same.
這個公式主要是為了計算整體的鎖倉獎勵，是會隨著每次鎖倉數量比例(Lc)不同來調整權重，並且再個別乘上鎖倉時間(Lt)和挖礦天數Log(n)來計算，所以，每次不同的鎖倉配置將會導致整體鎖倉獎勵有不同的結果。Lt, Lc, and log(N)的值將會在每次設定鎖倉配置後被計算，並乘上有鎖倉的次數i(Ps.不是每次映射都會鎖倉)，並且加總不同次數的i，並且除以某特定挖礦週期的Lb數值，但只要先鋒們能保持一樣的鎖倉比例，鎖定的獎勵就不會改變。
Lastly, when can a Pioneer lock up Pi? Pioneers can decide their lockup duration and lockup percentage of their transferable balance anytime they want as an overall account setting in the Pi app. You can even preselect these settings before you're KYC'ed or ready to migrate to the Mainnet. As you and your earning team/security circle pass KYC, more of their Mobile Balance will become transferable. At the moment of the migration of their Transferable Balance to Mainnet, their preselected setting of lockup duration and percentage will automatically apply to the amount of balance transferred, resulting in two types of balances on the Mainnet: lockup balance and free balance, both of which will be recorded on the Mainnet blockchain and reside in the Pioneer's non-custodial Pi wallet. Thus, lockups cannot be reversed once confirmed and must remain locked up for the entirety of the chosen duration due to the nature of blockchain. Any changes to this Pioneer's lockup setting will take effect in their next balance transfer to the Mainnet.
最後，哪時候先鋒可以鎖倉Pi幣? 隨著您的團隊成員和安全圈成員陸續通過KYC，以及繼續挖礦所得到的幣，這些都會累積到Pi APP上的可遷移到主網餘額中。在每次簽移到主網前，這些預先設定好的鎖倉數量比例與時間將會自動配置到每次的主網遷移上，並且在轉移後會有兩種不同的餘額顯示，第一是鎖定餘額，另一個則是可隨意使用的餘額，這兩種餘額都會被主網區塊鏈所記錄，並且也一併儲存在您的非託管Pi錢包(wallet.pi)中。請注意，一旦決定鎖倉設定並映射上主網了，基於區塊鏈的不可逆轉特性，是不可以也不可能被修改的，請務必謹慎選擇。
This account-wide lockup setting allows Pioneers to lock up a maximum of 100% of their transferable balance. After Mainnet launches and Pioneers transfer their balances, Pioneers can also lock up more Pi directly on the Mainnet through a slightly different lockup interface later on. At that time, Pioneers can lock up as much as 200% of their already-transferred Mainnet balance acquired from their previous mining.