Pi network

Pi Network
Preface
As the world becomes increasingly digital, cryptocurrency is a next natural step in the evolution
of money. Pi is the first digital currency for everyday people, representing a major step forward
in the adoption of cryptocurrency worldwide.
Our Mission: Build a cryptocurrency and smart contracts platform secured and operated by
everyday people.
Our Vision: Build the world’s most inclusive peer-to-peer marketplace, fueled by Pi, the world’s
most widely used cryptocurrency
DISCLAIMER for more advanced readers: Because Pi’s mission is to be inclusive as possible,
we’re going to take this opportunity to introduce our blockchain newbies to the rabbit hole :)
Introduction: Why cryptocurrencies matter
Currently, our everyday financial transactions rely upon a trusted third party to maintain a record
of transactions. For example, when you do a bank transaction, the banking system keeps a
record & guarantees that the transaction is safe & reliable. Likewise, when Cindy transfers $5 to
Steve using PayPal, PayPal maintains a central record of $5 dollars debited from Cindy’s
account and $5 credited to Steve’s. Intermediaries like banks, PayPal, and other members of
the current economic system play an important role in regulating the world’s financial
transactions.
However, the role of these trusted intermediaries also has limitations:
1. Unfair value capture. These intermediaries amass billions of dollars in wealth
creation (PayPal market cap is ~$130B), but pass virtually nothing onto their
customers - the everyday people on the ground, whose money drives a meaningful
proportion of the global economy. More and more people are falling behind.
2. Fees. Banks and companies charge large fees for facilitating transactions. These
fees often disproportionately impact lower-income populations who have the fewest
alternatives.
3. Censorship. If a particular trusted intermediary decides that you should not be able
to move your money, it can place restrictions on the movement of your money.

4. Permissioned. The trusted intermediary serves as a gatekeeper who can arbitrarily
prevent anybody from being part of the network.
5. Pseudonymous. At a time when the issue of privacy is gaining greater urgency,
these powerful gatekeepers can accidentally disclose -- or force you to disclose --
more financial information about yourself than you may want.
Bitcoin’s “peer-to-peer electronic cash system,” launched in 2009 by an anonymous
programmer (or group) Satoshi Nakamoto, was a watershed moment for the freedom of money.
For the first time in history, people could securely exchange value, without requiring a third party
or trusted intermediary. Paying in Bitcoin meant that people like Steve and Cindy could pay
each other directly, bypassing institutional fees, obstructions and intrusions. Bitcoin was truly a
currency without boundaries, powering and connecting a new global economy.
Introduction To Distributed Ledgers
Bitcoin achieved this historical feat by using a distributed record. While the current financial
system relies on the traditional central record of truth, the Bitcoin record is maintained by a
distributed community of “validators,” who access and update this public ledger. Imagine the
Bitcoin protocol as a globally shared “Google Sheet” that contains a record of transactions,
validated and maintained by this distributed community.
The breakthrough of Bitcoin (and general blockchain technology) is that, even though the record
is maintained by a community, the technology enables them to always reach consensus on
truthful transactions, insuring that cheaters cannot record false transactions or overtake the
system. This technological advancement allows for the removal of the centralized intermediary,
without compromising transactional financial security.
Benefits Of Distributed Ledgers
In addition to decentralization, bitcoin, or cryptocurrencies in general, share a few nice
properties that make money smarter and safer, although different cryptocurrencies may be
stronger in some properties and weaker in others, based on different implementations of their
protocols. Cryptocurrencies are held in cryptographic wallets identified by a publicly accessible
address, and is secured by a very strong privately held password, called the private key. This
private key cryptographically signs transaction and is virtually impossible to create fraudulent
signatures. This provides security and unseizability. Unlike traditional bank accounts that can be
seized by government authorities, the cryptocurrency in your wallet can never be taken away by
anyone without your private key. Cryptocurrencies are censorship resistant due to the
decentralized nature because anyone can submit transactions to any computer in the network to
get recorded and validated. Cryptocurrency transactions are immutable because each block of
transactions represents a cryptographic proof (a hash) of all the previous blocks that existed
before that. Once someone sends you money, they cannot steal back their payment to you (i.e.,
no bouncing checks in blockchain). Some of the cryptocurrencies can even support atomic
transactions. “Smart contracts” built atop these cryptocurrencies do not merely rely on law for
enforcement, but directly enforced through publicly auditable code, which make them trustless
and can potentially get rid of middlemen in many businesses, e.g. Escrow for real estate.
Securing Distributed Ledgers (Mining)
One of challenges of maintaining a distributed record of transactions is security -- specifically,
how to have an open and editable ledger while preventing fraudulent activity. To address this
challenge, Bitcoin introduced a novel process called Mining (using the consensus algorithm
“Proof of Work”) to determine who is “trusted” to make updates to the shared record of

transactions.
You can think of mining as a type of economic game that forces “Validators” to prove their merit
when trying to add transactions to the record. To qualify, Validators must solve a series of
complex computational puzzles. The Validator who solves the puzzle first is rewarded by being
allowed to post the latest block of transactions. Posting the latest block of transactions allows
Validators to “mine” a Block Reward - currently 12.5 bitcoin (or ~$40,000 at the time of writing).
This process is very secure, but it demands enormous computing power and energy
consumption as users essentially “burn money” to solve the computational puzzle that earns
them more Bitcoin. The burn-to-reward ratio is so punitive that it is always in Validators’ self-
interest to post honest transactions to the Bitcoin record.
Problem: Centralization of power and money put 1st
Generation Cryptocurrencies out of reach
In the early days of Bitcoin, when only a few people were working to validate transactions and
mining the first blocks, anyone could earn 50 BTC by simply running Bitcoin mining software on
their personal computer. As the currency began to gain in popularity, clever miners realized that
they could earn more if they had more than one computer working to mine.
As Bitcoin continued to increase in value, entire companies began to spring up to mine. These
companies developed specialized chips (“ASICs”) and constructed huge farms of servers using
these ASIC chips to mine Bitcoin. The emergence of these enormous mining corporations,
known drove the Bitcoin Gold Rush, making it very difficult for everyday people to contribute to
the network and get rewarded. Their efforts also began consuming increasingly large amounts
of computing energy, contributing to mounting environmental issues around the world.
The ease of mining Bitcoin and the subsequent rise of Bitcoin mining farms quickly produced a
massive centralization of production power and wealth in Bitcoin’s network. To provide some
context, 87% of all Bitcoins are now owned by 1% of their network, many of these coins were
mined virtually free in their early days. As another example, Bitmain, one of Bitcoin’s biggest
mining operations has earned billions in revenue and profits.
The centralization of power in Bitcoin’s network makes it very difficult and expensive for the
average person. If you want to acquire Bitcoin, your easiest options are to:
1. Mine It Yourself. Just hook up the specialized hardware (here’s a rig on Amazon, if
you’re interested!) and go to town. Just know that since you’ll be competing against
massive server farms from across the world, consuming as much energy as the
country of Switzerland, you won’t be able to mine much
2. Buy Bitcoin on an exchange. Today, you can buy Bitcoin at a unit price of $3,500 /
coin at the time of writing (note: you can buy fractional amount of Bitcoin!) Of
course, you would also be taking on substantial risk in doing so as the price of

Bitcoin is quite volatile.
Bitcoin was the first to show how cryptocurrency could disrupt the current financial model, giving
people the ability to make transactions without having a third party in the way. The increase in
freedom, flexibility, and privacy continues to drive the inevitable march toward digital currencies
as a new norm. Despite its benefits, Bitcoin’s (likely unintended) concentration of money and
power present a meaningful barrier to mainstream adoption. As Pi’s core team has conducted
research to try to understand why people are reluctant to enter the cryptocurrency space.
People consistently cited the risk of investing/mining as a key barrier to entry.
Solution: Pi - Enabling mining on mobile phones
After identifying these key barriers to adoption, the Pi Core Team set out to find a way that
would allow everyday people to mine (or earn cryptocurrency rewards for validating transactions
on a distributed record of transactions). As a refresher, one of the major challenges that arises
with maintaining a distributed record of transactions is ensuring that updates to this open record
are not fraudulent. While Bitcoin’s process for updating its record is proven (burning energy /
money to prove trustworthiness), it is not very user (or planet!) friendly. For Pi, we introduced
the additional design requirement of employing a consensus algorithm that would also be
extremely user friendly and ideally enable mining on personal computers and mobile phones.
In comparing existing consensus algorithms (the process that records transactions into a
distributed ledger), the Stellar Consensus Protocol emerges as the leading candidate to enable
user-friendly, mobile-first mining. Stellar Consensus Protocol (SCP) was architected by David
Mazières a professor of Computer Science at Stanford who also serves as Chief Scientist at the
Stellar Development Foundation. SCP uses a novel mechanism called Federated Byzantine
Agreements to ensure that updates to a distributed ledger are accurate and trustworthy. SCP is
also deployed in practice through the Stellar blockchain that has been operating since 2015.
A Simplified Introduction To Consensus Algorithms
Before jumping to introducing the Pi consensus algorithm, it helps to have a simple explanation
on what a consensus algorithm does for a blockchain and the types of consensus algorithms
that today’s blockchain protocols generally use, e.g. Bitcoin and SCP. This section is explicitly
written in a oversimplified manner for the sake of clarity, and is not complete. For higher
accuracy, see the section Adaptations to SCP below and read the stellar consensus protocol
paper.
A blockchain is a fault-tolerant distributed system that aims to totally order a list of blocks of
transactions. Fault-tolerant distributed systems is an area of computer science that has been
studied for many decades. They are called distributed systems because they do not have a
centralized server but instead they are composed of a decentralized list of computers (called
nodes or peers) that need to come to a consensus as to what is the content and total ordering of
blocks. They are also called fault-tolerant because they can tolerate a certain degree of faulty
nodes into the system (e.g. up to 33% of nodes can be faulty and the overall system continues
to operate normally).
There are two broad categories of consensus algorithms: The ones that elect a node as the
leader who produces the next block, and the ones where there is no explicit leader but all nodes
come to a consensus of what the next block is after exchanging votes by sending computer

messages to each other. (Strictly speaking the last sentence contains multiple inaccuracies, but
it helps us explain the broad strokes.)
Bitcoin uses the first type of consensus algorithm: All bitcoin nodes are competing against each
other in solving a cryptographic puzzle. Because the solution is found randomly, essentially the
node that finds the solution first, by chance, is elected the leader of the round who produces the
next block. This algorithm is called “Proof of work” and results in a lot of energy consumption.
A Simplified Introduction To Stellar Consensus Protocol
Pi uses the other type of consensus algorithms and is based on the Stellar Consensus Protocol
(SCP) and an algorithm called Federated Byzantine Agreement (FBA). Such algorithms don’t
have energy waste but they require exchanging many network messages in order for the nodes
to come to “consensus” on what the next block should be. Each node can independently
determine if a transaction is valid or not, e.g. authority of making the transition and double
spending, based on the cryptographic signature and the transaction history. However, for a
network of computers to agree on which transactions to record in a block and the order of these
transactions and blocks, they need to message each other and have multiple rounds of voting to
come to consensus. Intuitively, such messages from different computers in the network about
which block is the next would look like the following: “I propose we all vote for block A to be
next”; “I vote for block A to be the next block”; “I confirm that the majority of the nodes I trust
also voted for block A”, from which the consensus algorithm enables this node to conclude that
“A is the next block; and there could be no block other than A as the next block”; Even though
the above voting steps seem a lot, the internet is adequately fast and these messages are
lightweight, thus such consensus algorithms are more lightweight than Bitcoin’s proof of work.
One major representative of such algorithms is called Byzantine Fault Tolerance (BFT). Several
of the top blockchains today are based on variants of BFT, such as NEO and Ripple.
One major criticism of BFT is that it has a centralization point: because voting is involved, the
set of nodes participating in the voting “quorum” are centrally determined by the creator of the
system in its beginning. The contribution of FBA is that, instead of having one centrally
determined quorum, each node sets their own “quorum slices”, which will in turn form different
quorums. New nodes can join the network in a decentralized way: they declare the nodes that
they trust and convince other nodes to trust them, but they don’t have to convince any central
authority.
SCP is one instantiation of FBA. Instead of burning energy like in Bitcoin’s proof of work
consensus algorithm, SCP nodes secure the shared record by vouching for other nodes in the
network as trustworthy. Each node in the network builds a quorum slice, consisting of other
nodes in the network that they deem to be trustworthy. Quorums are formed based on its
members quorum slices, and a validator will only accept new transactions if and only if a
proportion of nodes in their quorums will also accept the transaction. As validators across the
network construct their quorums, these quorums help nodes to reach consensus about
transactions with guarantee on security. You can learn more about the Stellar Consensus
Protocol by checking out this technical summary of SCP.
Pi’s Adaptations to Stellar Consensus Protocol (SCP)
Pi’s consensus algorithm builds atop SCP. SCP has been formally proven [Mazieres 2015] and
is currently implemented within the Stellar Network. Unlike Stellar Network consisting mostly of
companies and institutions (e.g., IBM) as nodes, Pi intends to allow devices of individuals to
contribute on the protocol level and get rewarded, including mobile phones, laptops and
computers. Below is an introduction on how Pi applies SCP to enabling mining by individuals.

There are four roles Pi users can play, as Pi miners. Namely:
• Pioneer. A user of the Pi mobile app who is simply confirming that they are not a
“robot” on a daily basis. This user validates their presence every time they sign in to
the app. They can also open the app to request transactions (e.g. make a payment
in Pi to another Pioneer)
• Contributor. A user of the Pi mobile app who is contributing by providing a list of
pioneers he or she knows and trusts. In aggregate, Pi contributors will build a global
trust graph.
• Ambassador. A user of the Pi mobile app who is introducing other users into Pi
network.
• Node. A user who is a pioneer, a contributor using the Pi mobile app, and is also
running the Pi node software on their desktop or laptop computer. The Pi node
software is the software that runs the core SCP algorithm, taking into account the
trust graph information provided by the Contributors.
A user can play more than one of the above roles. All roles are necessary, thus all roles are
rewarded with newly minted Pi on a daily basis as long as they participated and contributed
during that given day. In the loose definition of a “miner” being a user who receives newly
minted currency as a reward for contributions, all four roles are considered to be Pi miners. We
define“mining” more broadly than its traditional meaning equated to executing proof of work
consensus algorithm as in Bitcoin or Ethereum.
First of all, we need to emphasize that the Pi Node software has not been released yet. So this
section is offered more as an architectural design and as a request to solicit comments from the
technical community. This software will be fully open source and it will also heavily depend on
stellar-core which is also open source software, available here. This means that anyone in the
community will be able to read, comment and propose improvements on it. Below are the Pi
proposed changes to SCP to enable mining by individual devices.
Nodes
For readability, we define as a correctly connected node to be what the SCP paper refers to as
an intact node. Also, for readability, we define as the main Pi network to be the set of all intact
nodes in the Pi network. The main task of each Node is to be configured to be correctly
connected to the main Pi network. Intuitively, a node being incorrectly connected to the main
network is similar to a Bitcoin node not being connected to the main bitcoin network.
In SCP’s terms, for a node to get correctly connected means that this node must chose a
“quorum slice” such that all resulting quorums that include this node intersect with the existing
network’s quorums. More precisely, a node vn+1 is correctly connected to a main network N of n
already correctly connected nodes (v1, v2, …, vn) if the resulting system N’ of n+1 nodes (v1, v2,
…, vn+1) enjoys quorum intersection. In other words, N’ enjoys quorum intersection iff any two of
its quorums share a node. -- i.e., for all quorums U1 and U2, U1∩U2 ≠ ∅.
The main contribution of Pi over the existing Stellar consensus deployment is that it introduces
the concept of a trust graph provided by the Pi Contributors as information that can be used by
the Pi nodes when they are setting up their configurations to connect to the main Pi network.
When picking their quorum slices, these Nodes must take into consideration the trust graph
provided by the Contributors, including their own security circle. To assist in this decision, we

intend to provide auxiliary graph analysis software to assist users running Nodes to make as
informed decisions as possible. This software’s daily output will include:
• a ranked list of nodes ordered by their distance from the current node in the trust
graph; a ranked list of nodes based a pagerank analysis of nodes in the trust graph
• a list of nodes reported by the community as faulty in any way a list of new nodes
seeking to join the network
• a list of most recent articles from the web on the keyword “misbehaving Pi nodes”
and other related keywords; a visual representation of Nodes comprising the Pi
network similar to what is shown in StellarBeat Quorum monitor [source code]
• a quorum explorer similar to QuorumExplorer.com [source code]
• a simulation tool like the one in StellarBeat Quorum monitor that shows the
expected resulting impacts to this nodes’ connectivity to the Pi network when the
current node’s configuration changes.
An interesting research problem for future work is to develop algorithms that can take into
consideration the trust graph and suggest each node an optimal configuration, or even set that
configuration automatically. On the first deployment of the Pi Network, while users running
Nodes can update their Node configuration at any time, they will be prompted to confirm their
configurations daily and asked to update them if they see fit.
Mobile app users
When a Pioneer needs to confirm that a given transaction has been executed (e.g. that they
have received Pi) they open the mobile app. At that point, the mobile app connects to one or
more Nodes to inquire if the transaction has been recorded on the ledger and also to get the
most recent block number and hash value of that block. If that Pioneer is also running a Node
the mobile app connects to that Pioneer’s own node. If the Pioneer is not running a node, then
the app connects to multiple nodes and to cross check this information. Pioneers will have the
ability select which nodes they want their apps to connect to. But to make it simple for most
users, the app should have a reasonable default set of nodes, e.g. a number of nodes closest to
the user based on the trust graph, along with a random selection of nodes high in pagerank. We
ask for your feedback on how the default set of nodes for mobile Pioneers should be selected.
Mining rewards
A beautiful property of the SCP algorithm is that it is more generic than a blockchain. It
coordinates consensus across a distributed system of Nodes. This means that the same core
algorithm is not only used every few seconds to record new transactions in new blocks, but also
it can be used to periodically run more complex computations. For example, once a week, the
stellar network is using it to compute inflation on the stellar network and allocate the newly
minted tokens proportionally to all stellar coin holders (Stellar’s coin is called lumens). In a
similar manner, the Pi network employs SCP once a day to compute the network-wide new Pi
distribution across all Pi miners (pioneers, contributors, ambassadors, nodes) who actively
participated in any given day. In other words, Pi mining rewards are computed only once daily
and not on every block of the blockchain.
For comparison Bitcoin allocates mining rewards on every block and it give all of the reward to
the miner who was lucky enough to be able to solve a computationally intensive randomized
task. This reward in Bitcoin currently 12.5 Bitcoin (~$40K) is given to only one miner every 10
minutes. This makes it extremely unlikely for any given miner to ever get rewards. As a solution
to that, bitcoin miners are getting organized in centralized mining pools, which all contribute
processing power, increasing the likelihood of getting rewards, and eventually sharing
proportionally those rewards. Mining pools are not only points of centralization, but also their

operators get cuts reducing the amount going to individual miners. In Pi, there is no need for
mining pools, since once a day everyone who contributed get a meritocratic distribution of new
Pi.
Transaction fees
Similar to Bitcoin transactions, fees are optional in the Pi network. Each block has a certain limit
of how many transactions can be included in it. When there is no backlog of transactions,
transactions tend to be free. But if there are more transactions, nodes order them by fee, with
highest-fee-transactions at the top and pick only the top transactions to be included in the
produced blocks. This makes it an open market. Implementation: Fees are proportionally split
among Nodes once a day. On every block, the fee of each transaction is transferred into a
temporary wallet from where in the end of the day it is distributed to the active miners of the day.
This wallet has an unknown private key. Transactions in and out of that wallet are forced by the
protocol itself under the consensus of all nodes in the same way the consensus also mints new
Pi every day.
Limitations and future work
SCP has been extensively tested for several years as part of the Stellar Network, which at the
time of this writing is the ninth largest cryptocurrency in the world. This gives us a quite large
degree of confidence in it. One ambition of the Pi project is to scale the number of nodes in the
Pi network to be larger than the number of nodes in the Stellar network to allow more everyday
users to participate in the core consensus algorithm. Increasing the number of nodes, will
inevitably increase the number of network messages that must be exchanged between them.
Even though these messages are much smaller than an image or a youtube video, and the
Internet today can reliably transfer videos quickly, the number of messages necessary
increases with the number of participating nodes, which can become bottleneck to the speed of
reaching consensus. This will ultimately slow down the rate, at which new blocks and new
transactions are recorded in the network. Thankfully, Stellar is currently much faster than
Bitcoin. At the moment, Stellar is calibrated to produce a new block every 3 to 5 seconds, being
able to support thousands of transactions per second. By comparison, Bitcoin produces a new
block every 10 minutes. Moreover, due to Bitcoin’s lack in the safety guarantee, Bitcoin’s
blockchain in rare occasions can be overwritten within the first hour. This means that a user of
Bitcoin must wait about 1 hour before they can be sure that a transaction is considered final.
SCP guarantees safety, which means after 3-5 seconds one is certain about a transaction. So
even with the potential scalability bottleneck, Pi expects to achieve transaction finality faster
than Bitcoin and possibly slower than Stellar, and process more transactions per second than
Bitcoin and possibly fewer than Stellar.
While scalability of SCP is still an open research problem. There are multiple promising ways
one could speed things up. One possible scalability solution is bloXroute. BloXroute proposes a
blockchain distribution network (BDN) that utilizes a global network of servers optimized for
network performance. While each BDN is centrally controlled by one organization, they offer a
provably neutral message passing acceleration. I.e. BDNs can only serve all nodes fairly without
discrimination as messages are encrypted. This means the BDN does not know where
messages come from, where they go, or what is inside. This way Pi nodes can have two
message passing routes: A fast one through BDN, which is expected to be reliable most of the
time, and its original peer-to-peer message passing interface that is fully decentralized and
reliable but is slower. The intuition of this idea is vaguely similar to caching: The cache is place
where a computer can access data very quickly, speeding the average computation, but it is not
guaranteed to always have every needed piece of information. When the cache misses, the
computer is slowed down but nothing catastrophic happens. Another solution can be using

secure acknowledgment of multicast messages in open Peer-to-Peer networks [Nicolosi and
Mazieres 2004] to speed up message propagation among peers.
Pi Economic Model: Balancing Scarcity and Access
Pros and cons of 1st Generation Economic Models
One of Bitcoin’s most impressive innovations is its marriage of distributed systems with
economic game theory.
Pros
Fixed Supply
Bitcoin’s economic model is simple. There will only ever be 21 million Bitcoin in existence. This
number is set in code. With only 21M to circulate among 7.5B people around the world, there is
not enough Bitcoin to go around. This scarcity is one of most important drivers of Bitcoin’s
value.
Decreasing Block Reward
Bitcoin’ distribution scheme, pictured below, further enforces this sense of scarcity. The Bitcoin
block mining reward halves every 210,000 blocks (approximately every ~4 years.) In its early
days, the Bitcoin block reward was 50 coins. Now, the reward is 12.5, and will further decrease
to 6.25 coins in May 2020. Bitcoin’s decreasing rate of distribution means that, even as
awareness of the currency grows, there is less to actually mine.
Cons
Inverted Means Uneven
Bitcoin’s inverted distribution model (less people earning more in the beginning, and more
people earn less today) is one of the primary contributors to its uneven distribution. With so
much Bitcoin in the hands of a few early adopters, new miners are “burning” more energy for
less bitcoin.
Hoarding Inhibits Use As A Medium Of Exchange
Although Bitcoin was released as a “peer to peer electronic cash” system, the relative scarcity of
Bitcoin has impeded Bitcoin’s goal of serving as a medium exchange. Bitcoin’s scarcity has led
to its perception as a form of “digital gold” or a digital store of value. The result of this perception
is that many Bitcoin holders are unwilling to spend Bitcoin on day-to-day expenses.
The Pi Economic Model
Pi, on the other hand, seeks to strike a balance between creating a sense of scarcity for Pi,
while still ensuring that a large amount does not accumulate into a very small number of hands.
We want to make sure our users earn more Pi as they make contributions to the network. Pi’s
goal is to build an economic model that is sophisticated enough to achieve and balance these
priorities while remaining intuitive enough for people to use.
Pi’s economic model design requirements:
• Simple: Build an intuitive and transparent model
• Fair distribution: Give a critical mass of the world’s population access to Pi

• Scarcity: Create a sense of scarcity to sustain Pi’s price over time
• Meritocratic earning: Reward contributions to build and sustain the network
Pi - Token Supply
Token Emission Policy
1. Total Max Supply = M + R + D
1. M = total mining rewards
2. R = total referral rewards
3. D = total developer rewards
2. M = ∫ f(P) dx where f is a logarithmically declining function
a. P = Population number (e.g., 1st person to join, 2nd person to join, etc.)
3. R = r * M
a. r = referral rate (50% total or 25% for both referrer and referee)
4. D = t * (M + R)
5. t = developer reward rate (25%)
M - Mining Supply (Based on fixed mining supply minted per person)
In contrast to Bitcoin which created a fixed supply of coins for the entire global population, Pi
creates a fixed supply of Pi for each person that joins the network up to the first 100 Million
participants. In other words, for each person that joins the Pi Network, a fixed amount of Pi is
pre-minted. This supply is then released over the lifetime of that member based on their level of
engagement and contribution to network security. The supply is released using an exponentially
decreasing function similar to Bitcoin’s over the member’s lifetime.
R - Referral Supply (Based on fixed referral reward minted per person and shared b/w
referrer and referee)
In order for a currency to have value, it must be widely distributed. To incentivize this goal, the
protocol also generates a fixed amount of Pi that serves as a referral bonus for both the referrer
and the referee (or both parent and offspring :) This shared pool can be mined by both parties
over their lifetime - when both parties are actively mining. Both referrer and referee are able to
draw upon this pool in order to avoid exploitative models where referrers are able to “prey” on
their referees. The referral bonus serves as a network-level incentive to grow the Pi Network
while also incentivizing engagement among members in actively securing the network.
D - Developer Reward Supply (Additional Pi minted to support ongoing development)
Pi will fund its ongoing development with a “Developer Reward” that is minted alongside each
coin that is minted for mining and referrals. Traditionally, cryptocurrency protocols have minted
a fixed amount of supply that is immediately placed into treasury. Because Pi’s total supply is
dependent on the number of members in the network, Pi progressively mints its developer
reward as the network scales. The progressive minting of Pi’s developer reward is meant to
align the incentives of Pi’s contributors with the overall health of the network.
f is a logarithmically decreasing function - early members earn more
While Pi seeks to avoid extreme concentrations of wealth, the network also seeks to reward
earlier members and their contributions with a relatively larger share of Pi. When networks such
as Pi are in their early days, they tend to provide a lower utility to participants. For example,
imagine having the very first telephone in the world. It would be a great technological innovation

but not extremely useful. However, as more people acquire telephones, each telephone holder
gets more utility out of the network. In order to reward people that come to the network early,
Pi’s individual mining reward and referral rewards decrease as a function of the number of
people in the network. In other words, there is a certain amount of Pi that is reserved for each
“slot” in the Pi Network.
Utility: Pooling and monetizing our time online
Today, everyone is sitting on a veritable treasure trove of untapped resources. Each of us
spend hours day on our phones. While on our phones, each of our views, posts or clicks creates
extraordinary profits for large corporations. At Pi, we believe that people have the right to
capture value created from their resources.
We all know that we can do more together than we can alone. On today’s web, massive
corporations like Google, Amazon, Facebook have immense leverage against individual
consumers. As a result, they are able to capture the lionshare of value created by individual
consumers on the web. Pi levels the playing field by allowing its members to pool their collective
resources so they can get a share of the value that they create.
The graphic below is the Pi Stack, where we see particularly promising opportunities for helping
our members capture value. Below, we go into each of these areas in more detail.
Introducing the Pi Stack - Unleashing underutilized resources
Pi Ledger And Shared Trust Graph - Scaling Trust Across The Web
One of the biggest challenges on the internet is knowing who to trust. Today, we rely on
the rating systems of providers such as Amazon, eBay, Yelp, to know who we can transact with
on the internet. Despite the fact that we, customers, do the hard work of rating and reviewing
our peers, these internet intermediaries capture the lionshare of the value created this work.
Pi’s consensus algorithm, described above, creates a native trust layer that scales trust on the
web without intermediaries. While the value of just one individual’s Security Circle is small, the
aggregate of our individual security circles build a global “trust graph” that help people
understand who on the Pi Network can be trusted. The Pi Network’s global trust graph will
facilitate transactions between strangers that would not have otherwise been possible. Pi’s

native currency, in turn, allows everyone who contributes to the security of the network to
capture a share of the value they have helped create.
Pi’s Attention Marketplace - Bartering Unutilized Attention And Time
Pi allows its members to pool their collective attention to create an attention market much more
valuable than any individual’s attention alone. The first application built on this layer will be a
scarce social media channel currently hosted on the home screen of the application. You can
think of the scarce social media channel as Instagram with one global post at a time. Pioneers
can wager Pi to engage the attention of other members of the network, by sharing content (e.g.,
text, images, videos) or asking questions that seek to tap into the collective wisdom of the
community. On the Pi Network, everyone has the opportunity to be an influencer or to tap into
the wisdom of the crowd. To date, Pi’s Core Team has been using this channel to poll the
community’s opinion on design choices for Pi (e.g. the community voted on the design and
colors of the Pi logo.) We have received many valuable responses and feedback from the
community on the project. One possible future direction is to open the attention market for any
Pioneer to use Pi to post their content, while expanding the number of channels hosted on the
Pi Network.
In addition to bartering attention with their peers, Pioneers may also opt into bartering with
companies that are seeking their attention. The average American sees between 4,000 and
10,000 ads a day. Companies fight for our attention and pay tremendous amounts of money for
it. But we, the customers, receive no value from these transactions. In Pi’s attention
marketplace, companies seeking to reach Pioneers will have to compensate their audience in
Pi. Pi’s advertising marketplace will be strictly opt-in only and will provide an opportunity for
Pioneers to monetize one of their greatest untapped resources: their attention.
Pi’s Barter Marketplace - Build Your Personal Virtual Storefront
In addition to contributing trust and attention to the Pi Network, we expect Pioneers to be able to
contribute their unique skills and services in the future. Pi’s mobile application will also serve as
a Point of Sales where Pi’s members can offer their untapped goods and services via a “virtual
storefront” to other members of the Pi Network. For example, a member offer up an
underutilized room in their apartment for rent to other members on the Pi Network. In addition to
real assets, members of the Pi Network will also be able to offer skills and services via their
virtual storefronts. For example, a member of the Pi Network could offer their programming or
design skills on the Pi marketplace. Overtime, the value of Pi will be supported by a growing
basket of goods and services.
Pi’s Decentralized App Store - Lowering The Barrier Of Entry For Creators
The Pi Network’s shared currency, trust graph, and marketplace will be the soil for a broader
ecosystem of decentralized applications. Today, anyone that wants to start an application needs
to bootstrap its technical infrastructure and community from scratch. Pi’s decentralized
applications store will allow Dapp developers to leverage Pi’s existing infrastructure as well as
the shared resources of the community and users. Entrepreneurs and developers can propose
new Dapps to the community with requests for access to the network’s shared resources. Pi will
also build its Dapps with some degree of interoperability so that Dapps are able to reference
data, assets, and processes in other decentralized applications.
Governance - Cryptocurrency for and by the people
Challenges w/ 1st Generation Governance models
Trust is the foundation of any successful monetary system. One of the most important factors
engendering trust is governance, or the process by which changes are implemented to the

protocol over time. Despite its importance, governance is often one of the most overlooked
aspects of cryptoeconomic systems.
First generation networks such as Bitcoin largely avoided formal (or “on-chain”) governance
mechanisms in favor of informal (or “off-chain”) mechanisms arising from a combination of role
and incentive design. By most measures, Bitcoin’s governance mechanisms has been quite
successful, allowing the protocol to grow dramatically in scale and value since its inception.
However, there have also been some challenges. The economic concentration of Bitcoin has
led to a concentration of political power. The result is that everyday people can get caught in the
middle of destructive battles between massive holders of Bitcoin. One of the most recent
examples of this challenge has been the ongoing battle between Bitcoin and Bitcoin Cash.
These civil wars can end in a fork where or where the blockchain. For token holders, hard forks
are inflationary and can threaten the value of their holdings.
Pi’s Governance Model - a two-phase plan
In an article challenging the merits of on-chain governance, Vlad Zamfir, one of Ethereum’s core
developers, argues that blockchain governance “is not an abstract design problem. It’s an
applied social problem.” One of Vlad’s key points is that it is very difficult to design governance
systems “a priori” or before observations of the particular challenges arising from a specific
political system. One historical example is in the founding of the United States. The first
experiment with democracy in the United States, the Articles of Confederation, failed after an
eight-year experiment. The Founding Fathers of the United States were then able to draw upon
the lessons of the Article of Confederation to craft the the Constitution - a much more successful
experiment.
To build an enduring governance model, Pi will pursue a two-phase plan.
Provisional Governance Model (< 5M Members)
Until the network hits a critical mass of 5M members, Pi will operate under a provisional
governance model. This model will most closely resemble “off-chain” governance models
currently employed by protocols like Bitcoin and Ethereum, with Pi’s Core Team playing an
important role in guiding the development of the protocol. However,, Pi’s Core Team will still rely
heavily on the input of the community. The Pi mobile application itself is where Pi’s core team
has been soliciting community input and engaging with Pioneers. Pi embraces community
critiques and suggestions, which is implemented by the open-for-comments features of Pi’s
landing page, FAQs and white paper. Whenever people browse these materials on Pi’s
websites, they can submit comment on a specific section right there to ask for questions and
make suggestions. Offline Pioneer meetups that Pi’s core team have been organizing will also
be an important channel for community input.
Additionally, Pi’s Core Team will develop more formal governance mechanics. One potential
governance system is liquid democracy. In liquid democracy, every Pioneer will have the ability
to either vote on an issue directly or to delegate their vote to another member of the network.
Liquid democracy would allow for both broad and efficient membership from Pi’s community.
Pi’s “Constitutional Convention” (> 5M Members)
Upon hitting 5M members, a provisional committee will be formed based on previous
contributions to the Pi Network. This committee will be responsible for soliciting and proposing
suggestions from and to the wider community. It will also organize a series of on- and offline
conversations where Pi’s members will be able to weigh on Pi’s long-term constitution. Given
Pi’s global user base, the Pi Network will conduct these conventions at multiple locations across

the world to ensure accessibility. In addition to hosting in-person conventions, Pi will also use its
mobile application as a platform for allowing Pi’s member to participate in the process remotely.
Whether in-person or online, Pi’s community members will have the ability to participate in the
crafting Pi’s long-term governance structure.
Roadmap / Deployment plan
Phase 1 - Design, Distribution, Trust Graph Bootstrap.
The Pi server is operating as a faucet emulating the behavior of the decentralized system as it
will function once its live. During this phase improvements in the user experience and behavior
are possible and relatively easy to make compared to the stable phase of the main net. All
minting of coins to users will be migrated to the live net once it launches. In other words, the
livenet will pre-mint in its genesis block all account holder balances generated during Phase 1,
and continue operating just like the current system but fully decentralized. Pi is not listed on
exchanges during this phase and it is impossible to “buy” Pi with any other currency.
Phase 2 - Testnet
Before we launch the main net, the Node software will be deployed on a test net. The test net
will use the same exact trust graph as the main net but on a testing Pi coin. Pi core team will
host several nodes on the test net, but will encourage more Pioneers to start their own nodes on
the testnet. In fact, in order for any node to join the main net, they are advised to begin on the
testnet. The test net will be run in parallel to the Pi emulator in phase one, and periodically, e.g.
daily, the results from both systems will be compared to catch the gaps and misses of the test
net, which will allow Pi developers to propose and implement fixes. After a thorough concurrent
run of both systems, testnet will reach a state where its results consistently match the
emulator’s. At that time when the community feels its ready, Pi will migrate to the next phase.
Phase 3 - Mainnet
When the community feels the software is ready for production, and it has been thoroughly
tested on the testnet, the official mainnet of the Pi network will be launched. An important detail
is that, in the transition into the mainnet, only accounts validated to belong to distinct real
individuals will be honored. After this point, the faucet and Pi network emulator of Phase 1 will
be shut down and the system will continue on its own forever. Future updates to the protocol will
be contributed by the Pi developer community and Pi’s core team, and will be proposed by the
committee. Their implementation and deployment will depend on nodes updating the mining
software just like any other blockchains. No central authority will be controlling the currency and
it will be fully decentralized. Balances of fake users or duplicate users will be discarded. This is
the phase when Pi can be connected to exchanges and be exchanged for other currencies.

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