Tahoe-LAFS Architecture

(See the docs/specifications directory for more details.)

OVERVIEW

At a high-level this system consists of three layers: the grid, the
filesystem, and the application.

The lowest layer is the "grid", a key-value store mapping from capabilities to
data.  The capabilities are relatively short ascii strings, each used as a
reference to an arbitrary-length sequence of data bytes, and are like a URI
for that data. This data is encrypted and distributed across a number of
nodes, such that it will survive the loss of most of the nodes.

The middle layer is the decentralized filesystem: a directed graph in which
the intermediate nodes are directories and the leaf nodes are files. The leaf
nodes contain only the file data -- they contain no metadata about the file
other than the length in bytes.  The edges leading to leaf nodes have metadata
attached to them about the file they point to.  Therefore, the same file may
be associated with different metadata if it is dereferenced through different
edges.

The top layer consists of the applications using the filesystem.
Allmydata.com uses it for a backup service: the application periodically
copies files from the local disk onto the decentralized filesystem.  We later
provide read-only access to those files, allowing users to recover them.  The
filesystem can be used by other applications, too.


THE GRID OF STORAGE SERVERS

The grid is composed of peer nodes -- processes running on computers.  They
establish TCP connections to each other using Foolscap, a secure remote
message passing library.

Each peer offers certain services to the others. The primary service is that
of the storage server, which holds data in the form of "shares".  Shares are
encoded pieces of files.  There are a configurable number of shares for each
file, 10 by default.  Normally, each share is stored on a separate server, but
a single server can hold multiple shares for a single file.

Peers learn about each other through an "introducer". Each peer connects to a
central introducer at startup, and receives a list of all other peers from
it. Each peer then connects to all other peers, creating a fully-connected
topology.  In the current release, nodes behind NAT boxes will connect to all
nodes that they can open connections to, but they cannot open connections to
other nodes behind NAT boxes.  Therefore, the more nodes behind NAT boxes, the
less the topology resembles the intended fully-connected topology.

The introducer in nominally a single point of failure, in that clients who
never see the introducer will be unable to connect to any storage servers.
But once a client has been introduced to everybody, they do not need the
introducer again until they are restarted. The danger of a SPOF is further
reduced in other ways. First, the introducer is defined by a hostname and a
private key, which are easy to move to a new host in case the original one
suffers an unrecoverable hardware problem. Second, even if the private key is
lost, clients can be reconfigured with a new introducer.furl that points to a
new one. Finally, we have plans to decentralize introduction, allowing any
node to tell a new client about all the others. With decentralized
"gossip-based" introduction, simply knowing how to contact any one node will
be enough to contact all of them.

FILE ENCODING

When a peer stores a file on the grid, it first encrypts the file, using a key
that is optionally derived from the hash of the file itself.  It then segments
the encrypted file into small pieces, in order to reduce the memory footprint,
and to decrease the lag between initiating a download and receiving the first
part of the file; for example the lag between hitting "play" and a movie
actually starting.

The peer then erasure-codes each segment, producing blocks such that only a
subset of them are needed to reconstruct the segment. It sends one block from
each segment to a given server. The set of blocks on a given server
constitutes a "share". Only a subset of the shares (3 out of 10, by default)
are needed to reconstruct the file.

A tagged hash of the encryption key is used to form the "storage index", which
is used for both server selection (described below) and to index shares within
the Storage Servers on the selected peers.

Hashes are computed while the shares are being produced, to validate the
ciphertext and the shares themselves. Merkle hash trees are used to enable
validation of individual segments of ciphertext without requiring the
download/decoding of the whole file. These hashes go into the "Capability
Extension Block", which will be stored with each share.

The capability contains the encryption key, the hash of the Capability
Extension Block, and any encoding parameters necessary to perform the eventual
decoding process.  For convenience, it also contains the size of the file
being stored.


On the download side, the node that wishes to turn a capability into a
sequence of bytes will obtain the necessary shares from remote nodes, break
them into blocks, use erasure-decoding to turn them into segments of
ciphertext, use the decryption key to convert that into plaintext, then emit
the plaintext bytes to the output target (which could be a file on disk, or it
could be streamed directly to a web browser or media player).

All hashes use SHA-256, and a different tag is used for each purpose.
Netstrings are used where necessary to insure these tags cannot be confused
with the data to be hashed. All encryption uses AES in CTR mode. The erasure
coding is performed with zfec.

A Merkle Hash Tree is used to validate the encoded blocks before they are fed
into the decode process, and a transverse tree is used to validate the shares
as they are retrieved. A third merkle tree is constructed over the plaintext
segments, and a fourth is constructed over the ciphertext segments.  All
necessary hashes are stored with the shares, and the hash tree roots are put
in the Capability Extension Block. The final hash of the extension block goes
into the capability itself.

Note that the number of shares created is fixed at the time the file is
uploaded: it is not possible to create additional shares later. The use of a
top-level hash tree also requires that nodes create all shares at once, even
if they don't intend to upload some of them, otherwise the hashroot cannot be
calculated correctly.


CAPABILITIES

Capabilities to immutable files represent a specific set of bytes.  Think of
it like a hash function: you feed in a bunch of bytes, and you get out a
capability, which is deterministically derived from the input data: changing
even one bit of the input data will result in a completely different
capability.

Read-only capabilities to mutable files represent the ability to get a set of
bytes representing some version of the file, most likely the latest version.
Each read-only capability is unique. In fact, each mutable file has a unique
public/private key pair created when the mutable file is created, and the
read-only capability to that file includes a secure hash of the public key.

Read-write capabilities to mutable files represent the ability to read the
file (just like a read-only capability) and also to write a new version of the
file, overwriting any extant version.  Read-write capabilities are unique --
each one includes the secure hash of the private key associated with that
mutable file.

The capability provides both "location" and "identification": you can use it
to retrieve a set of bytes, and then you can use it to validate ("identify")
that these potential bytes are indeed the ones that you were looking for.

The "grid" layer is insufficient to provide a virtual drive: an actual
filesystem requires human-meaningful names.  Capabilities sit on the
"global+secure" edge of Zooko's Triangle[1]. They are self-authenticating,
meaning that nobody can trick you into using a file that doesn't match the
capability you used to refer to that file.


SERVER SELECTION

When a file is uploaded, the encoded shares are sent to other peers. But to
which ones? The "server selection" algorithm is used to make this choice.

In the current version, the storage index is used to consistently-permute the
set of all peers (by sorting the peers by HASH(storage_index+peerid)). Each
file gets a different permutation, which (on average) will evenly distribute
shares among the grid and avoid hotspots.

We use this permuted list of peers to ask each peer, in turn, if it will hold
a share for us, by sending an 'allocate_buckets() query' to each one. Some
will say yes, others (those who are full) will say no: when a peer refuses our
request, we just take that share to the next peer on the list. We keep going
until we run out of shares to place. At the end of the process, we'll have a
table that maps each share number to a peer, and then we can begin the
encode+push phase, using the table to decide where each share should be sent.

Most of the time, this will result in one share per peer, which gives us
maximum reliability (since it disperses the failures as widely as possible).
If there are fewer useable peers than there are shares, we'll be forced to
loop around, eventually giving multiple shares to a single peer. This reduces
reliability, so it isn't the sort of thing we want to happen all the time, and
either indicates that the default encoding parameters are set incorrectly
(creating more shares than you have peers), or that the grid does not have
enough space (many peers are full). But apart from that, it doesn't hurt. If
we have to loop through the peer list a second time, we accelerate the query
process, by asking each peer to hold multiple shares on the second pass. In
most cases, this means we'll never send more than two queries to any given
peer.

If a peer is unreachable, or has an error, or refuses to accept any of our
shares, we remove them from the permuted list, so we won't query them a second
time for this file. If a peer already has shares for the file we're uploading
(or if someone else is currently sending them shares), we add that information
to the share-to-peer table. This lets us do less work for files which have
been uploaded once before, while making sure we still wind up with as many
shares as we desire.

If we are unable to place every share that we want, but we still managed to
place a quantity known as "shares of happiness", we'll do the upload anyways.
If we cannot place at least this many, the upload is declared a failure.

The current defaults use k=3, shares_of_happiness=7, and N=10, meaning that
we'll try to place 10 shares, we'll be happy if we can place 7, and we need to
get back any 3 to recover the file. This results in a 3.3x expansion
factor. In general, you should set N about equal to the number of peers in
your grid, then set N/k to achieve your desired availability goals.

When downloading a file, the current release just asks all known peers for any
shares they might have, chooses the minimal necessary subset, then starts
downloading and processing those shares. A later release will use the full
algorithm to reduce the number of queries that must be sent out. This
algorithm uses the same consistent-hashing permutation as on upload, but stops
after it has located k shares (instead of all N). This reduces the number of
queries that must be sent before downloading can begin.

The actual number of queries is directly related to the availability of the
peers and the degree of overlap between the peerlist used at upload and at
download. For stable grids, this overlap is very high, and usually the first k
queries will result in shares. The number of queries grows as the stability
decreases. Some limits may be imposed in large grids to avoid querying a
million peers; this provides a tradeoff between the work spent to discover
that a file is unrecoverable and the probability that a retrieval will fail
when it could have succeeded if we had just tried a little bit harder. The
appropriate value of this tradeoff will depend upon the size of the grid, and
will change over time.

Other peer selection algorithms are possible. One earlier version (known as
"tahoe 3") used the permutation to place the peers around a large ring,
distributed shares evenly around the same ring, then walks clockwise from 0
with a basket: each time we encounter a share, put it in the basket, each time
we encounter a peer, give them as many shares from our basket as they'll
accept. This reduced the number of queries (usually to 1) for small grids
(where N is larger than the number of peers), but resulted in extremely
non-uniform share distribution, which significantly hurt reliability
(sometimes the permutation resulted in most of the shares being dumped on a
single peer).

Another algorithm (known as "denver airport"[2]) uses the permuted hash to
decide on an approximate target for each share, then sends lease requests via
Chord routing. The request includes the contact information of the uploading
node, and asks that the node which eventually accepts the lease should contact
the uploader directly. The shares are then transferred over direct connections
rather than through multiple Chord hops. Download uses the same approach. This
allows nodes to avoid maintaining a large number of long-term connections, at
the expense of complexity, latency, and reliability.


SWARMING DOWNLOAD, TRICKLING UPLOAD

Because the shares being downloaded are distributed across a large number of
peers, the download process will pull from many of them at the same time. The
current encoding parameters require 3 shares to be retrieved for each segment,
which means that up to 3 peers will be used simultaneously. For larger
networks, 8-of-22 encoding could be used, meaning 8 peers can be used
simultaneously. This allows the download process to use the sum of the
available peers' upload bandwidths, resulting in downloads that take full
advantage of the common 8x disparity between download and upload bandwith on
modern ADSL lines.

On the other hand, uploads are hampered by the need to upload encoded shares
that are larger than the original data (3.3x larger with the current default
encoding parameters), through the slow end of the asymmetric connection. This
means that on a typical 8x ADSL line, uploading a file will take about 32
times longer than downloading it again later.

Smaller expansion ratios can reduce this upload penalty, at the expense of
reliability. See RELIABILITY, below. By using an "upload helper", this penalty
is eliminated: the client does a 1x upload of encrypted data to the helper,
then the helper performs encoding and pushes the shares to the storage
servers. This is an improvement if the helper has significantly higher upload
bandwidth than the client, so it makes the most sense for a commercially-run
grid for which all of the storage servers are in a colo facility with high
interconnect bandwidth. In this case, the helper is placed in the same
facility, so the helper-to-storage-server bandwidth is huge.

See "helper.txt" for details about the upload helper.


THE FILESYSTEM LAYER

The "filesystem" layer is responsible for mapping human-meaningful pathnames
(directories and filenames) to pieces of data. The actual bytes inside these
files are referenced by capability, but the filesystem layer is where the
directory names, file names, and metadata are kept.

The filesystem layer is a graph of directories. Each directory contains a
table of named children. These children are either other directories or
files. All children are referenced by their capability.

A directory has two forms of capability: read-write caps and read-only
caps. The table of children inside the directory has a read-write and
read-only capability for each child. If you have a read-only capability for a
given directory, you will not be able to access the read-write capability of
its children.  This results in "transitively read-only" directory access.

By having two different capabilities, you can choose which you want to share
with someone else. If you create a new directory and share the read-write
capability for it with a friend, then you will both be able to modify its
contents. If instead you give them the read-only capability, then they will
*not* be able to modify the contents. Any capability that you receive can be
linked in to any directory that you can modify, so very powerful
shared+published directory structures can be built from these components.

This structure enable individual users to have their own personal space, with
links to spaces that are shared with specific other users, and other spaces
that are globally visible.


LEASES, REFRESHING, GARBAGE COLLECTION, QUOTAS

THIS SECTION IS OUT OF DATE.  Since we wrote this we've changed our minds
about how we intend to implement these features.  Neither the old design,
documented below, nor the new one, documented on the tahoe-dev mailing list
and the wiki and the issue tracker, have actually been implemented yet.

Shares are uploaded to a storage server, but they do not necessarily stay
there forever. We are anticipating three main share-lifetime management modes
for Tahoe: 1) per-share leases which expire, 2) per-account timers which
expire and cancel all leases for the account, and 3) centralized account
management without expiration timers.

To be clear, none of these have been implemented yet. The
http://allmydata.org/trac/tahoe/wiki/QuotaManagement "Quota Management" wiki
page describes some of our plans for managing data lifetime and limited-space
user accounts.

Multiple clients may be interested in a given share, for example if two
clients uploaded the same file, or if two clients are sharing a directory and
both want to make sure the files therein remain available. Consequently, each
share (technically each "bucket", which may contain multiple shares for a
single storage index) has a set of leases, one per client. One way to
visualize this is with a large table, with shares (i.e. buckets, or storage
indices, or files) as the rows, and accounts as columns. Each square of this
table might hold a lease.

Using limited-duration leases reduces the storage consumed by clients who have
(for whatever reason) forgotten about the share they once cared about.
Clients are supposed to explicitly cancel leases for every file that they
remove from their vdrive, and when the last lease is removed on a share, the
storage server deletes that share. However, the storage server might be
offline when the client deletes the file, or the client might experience a bug
or a race condition that results in forgetting about the file. Using leases
that expire unless otherwise renewed ensures that these lost files will not
consume storage space forever. On the other hand, they require periodic
maintenance, which can become prohibitively expensive for large grids. In
addition, clients who go offline for a while are then obligated to get someone
else to keep their files alive for them.


In the first mode, each client holds a limited-duration lease on each share
(typically one month), and clients are obligated to periodically renew these
leases to keep them from expiring (typically once a week). In this mode, the
storage server does not know anything about which client is which: it only
knows about leases.

In the second mode, each server maintains a list of clients and which leases
they hold. This is called the "account list", and each time a client wants to
upload a share or establish a lease, it provides credentials to allow the
server to know which Account it will be using. Rather than putting individual
timers on each lease, the server puts a timer on the Account. When the account
expires, all of the associated leases are cancelled.

In this mode, clients are obligated to renew the Account periodically, but not
the (thousands of) individual share leases. Clients which forget about files
are still incurring a storage cost for those files. An occasional
reconcilliation process (in which the client presents the storage server with
a list of all the files it cares about, and the server removes leases for
anything that isn't on the list) can be used to free this storage, but the
effort involved is large, so reconcilliation must be done very infrequently.

Our plan is to have the clients create their own Accounts, based upon the
possession of a private key. Clients can create as many accounts as they wish,
but they are responsible for their own maintenance. Servers can add up all the
leases for each account and present a report of usage, in bytes per
account. This is intended for friendnet scenarios where it would be nice to
know how much space your friends are consuming on your disk.

In the third mode, the Account objects are centrally managed, and are not
expired by the storage servers. In this mode, the client presents credentials
that are issued by a central authority, such as a signed message which the
storage server can verify. The storage used by this account is not freed
unless and until the central account manager says so.

This mode is more appropriate for a commercial offering, in which use of the
storage servers is contingent upon a monthly fee, or other membership
criteria. Being able to ask the storage usage for each account (or establish
limits on it) helps to enforce whatever kind of membership policy is desired.


Each lease is created with a pair of secrets: the "renew secret" and the
"cancel secret". These are just random-looking strings, derived by hashing
other higher-level secrets, starting with a per-client master secret. Anyone
who knows the secret is allowed to restart the expiration timer, or cancel the
lease altogether. Having these be individual values allows the original
uploading node to delegate these capabilities to others.

In the current release, clients provide lease secrets to the storage server,
and each lease contains an expiration time, but there is no facility to
actually expire leases, nor are there explicit owners (the "ownerid" field of
each lease is always set to zero). In addition, many features have not been
implemented yet: the client should claim leases on files which are added to
the vdrive by linking (as opposed to uploading), and the client should cancel
leases on files which are removed from the vdrive, but neither has been
written yet. This means that shares are not ever deleted in this
release. (Note, however, that if read-cap to a file is deleted then it will no
longer be possible to decrypt that file, even if the shares which contain the
erasure-coded ciphertext still exist.)


FILE REPAIRER

Shares may go away because the storage server hosting them has suffered a
failure: either temporary downtime (affecting availability of the file), or a
permanent data loss (affecting the reliability of the file). Hard drives
crash, power supplies explode, coffee spills, and asteroids strike. The goal
of a robust distributed filesystem is to survive these setbacks.

To work against this slow, continual loss of shares, a File Checker is used to
periodically count the number of shares still available for any given file. A
more extensive form of checking known as the File Verifier can download the
ciphertext of the target file and perform integrity checks (using strong
hashes) to make sure the data is stil intact. When the file is found to have
decayed below some threshold, the File Repairer can be used to regenerate and
re-upload the missing shares. These processes are conceptually distinct (the
repairer is only run if the checker/verifier decides it is necessary), but in
practice they will be closely related, and may run in the same process.

The repairer process does not get the full capability of the file to be
maintained: it merely gets the "repairer capability" subset, which does not
include the decryption key. The File Verifier uses that data to find out which
peers ought to hold shares for this file, and to see if those peers are still
around and willing to provide the data. If the file is not healthy enough, the
File Repairer is invoked to download the ciphertext, regenerate any missing
shares, and upload them to new peers. The goal of the File Repairer is to
finish up with a full set of "N" shares.

There are a number of engineering issues to be resolved here. The bandwidth,
disk IO, and CPU time consumed by the verification/repair process must be
balanced against the robustness that it provides to the grid. The nodes
involved in repair will have very different access patterns than normal nodes,
such that these processes may need to be run on hosts with more memory or
network connectivity than usual. The frequency of repair will directly affect
the resources consumed. In some cases, verification of multiple files can be
performed at the same time, and repair of files can be delegated off to other
nodes.

The security model we are currently using assumes that peers who claim to hold
a share will actually provide it when asked. (We validate the data they
provide before using it in any way, but if enough peers claim to hold the data
and are wrong, the file will not be repaired, and may decay beyond
recoverability). There are several interesting approaches to mitigate this
threat, ranging from challenges to provide a keyed hash of the allegedly-held
data (using "buddy nodes", in which two peers hold the same block, and check
up on each other), to reputation systems, or even the original Mojo Nation
economic model.


SECURITY

The design goal for this project is that an attacker may be able to deny
service (i.e. prevent you from recovering a file that was uploaded earlier)
but can accomplish none of the following three attacks:

 1) violate confidentiality: the attacker gets to view data to which you have
    not granted them access
 2) violate consistency: the attacker convinces you that the wrong data is
    actually the data you were intending to retrieve
 3) violate mutability: the attacker gets to modify a directory (either the
    pathnames or the file contents) to which you have not given them
    mutability rights

Data validity and consistency (the promise that the downloaded data will match
the originally uploaded data) is provided by the hashes embedded in the
capability. Data confidentiality (the promise that the data is only readable
by people with the capability) is provided by the encryption key embedded in
the capability. Data availability (the hope that data which has been uploaded
in the past will be downloadable in the future) is provided by the grid, which
distributes failures in a way that reduces the correlation between individual
node failure and overall file recovery failure, and by the erasure-coding
technique used to generate shares.

Many of these security properties depend upon the usual cryptographic
assumptions: the resistance of AES and RSA to attack, the resistance of SHA256
to pre-image attacks, and upon the proximity of 2^-128 and 2^-256 to zero. A
break in AES would allow a confidentiality violation, a pre-image break in
SHA256 would allow a consistency violation, and a break in RSA would allow a
mutability violation. The discovery of a collision in SHA256 is unlikely to
allow much, but could conceivably allow a consistency violation in data that
was uploaded by the attacker. If SHA256 is threatened, further analysis will
be warranted.

There is no attempt made to provide anonymity, neither of the origin of a
piece of data nor the identity of the subsequent downloaders. In general,
anyone who already knows the contents of a file will be in a strong position
to determine who else is uploading or downloading it. Also, it is quite easy
for a sufficiently-large coalition of nodes to correlate the set of peers who
are all uploading or downloading the same file, even if the attacker does not
know the contents of the file in question.

Also note that the file size and (when convergence is being used) a keyed hash
of the plaintext are not protected. Many people can determine the size of the
file you are accessing, and if they already know the contents of a given file,
they will be able to determine that you are uploading or downloading the same
one.

A likely enhancement is the ability to use distinct encryption keys for each
file, avoiding the file-correlation attacks at the expense of increased
storage consumption. This is known as "non-convergent" encoding.

The capability-based security model is used throughout this project. Directory
operations are expressed in terms of distinct read- and write- capabilities.
Knowing the read-capability of a file is equivalent to the ability to read the
corresponding data. The capability to validate the correctness of a file is
strictly weaker than the read-capability (possession of read-capability
automatically grants you possession of validate-capability, but not vice
versa). These capabilities may be expressly delegated (irrevocably) by simply
transferring the relevant secrets.

The application layer can provide whatever access model is desired, built on
top of this capability access model.  The first big user of this system so far
is allmydata.com.  The allmydata.com access model currently works like a
normal web site, using username and password to give a user access to her
virtual drive.  In addition, allmydata.com users can share individual files
(using a file sharing interface built on top of the immutable file read
capabilities).


RELIABILITY

File encoding and peer selection parameters can be adjusted to achieve
different goals. Each choice results in a number of properties; there are many
tradeoffs.

First, some terms: the erasure-coding algorithm is described as K-out-of-N
(for this release, the default values are K=3 and N=10). Each grid will have
some number of peers; this number will rise and fall over time as peers join,
drop out, come back, and leave forever. Files are of various sizes, some are
popular, others are rare. Peers have various capacities, variable
upload/download bandwidths, and network latency. Most of the mathematical
models that look at peer failure assume some average (and independent)
probability 'P' of a given peer being available: this can be high (servers
tend to be online and available >90% of the time) or low (laptops tend to be
turned on for an hour then disappear for several days). Files are encoded in
segments of a given maximum size, which affects memory usage.

The ratio of N/K is the "expansion factor". Higher expansion factors improve
reliability very quickly (the binomial distribution curve is very sharp), but
consumes much more grid capacity. When P=50%, the absolute value of K affects
the granularity of the binomial curve (1-out-of-2 is much worse than
50-out-of-100), but high values asymptotically approach a constant (i.e.
500-of-1000 is not much better than 50-of-100). When P is high and the
expansion factor is held at a constant, higher values of K and N give much
better reliability (for P=99%, 50-out-of-100 is much much better than 5-of-10,
roughly 10^50 times better), because there are more shares that can be lost
without losing the file.

Likewise, the total number of peers in the network affects the same
granularity: having only one peer means a single point of failure, no matter
how many copies of the file you make. Independent peers (with uncorrelated
failures) are necessary to hit the mathematical ideals: if you have 100 nodes
but they are all in the same office building, then a single power failure will
take out all of them at once. The "Sybil Attack" is where a single attacker
convinces you that they are actually multiple servers, so that you think you
are using a large number of independent peers, but in fact you have a single
point of failure (where the attacker turns off all their machines at
once). Large grids, with lots of truly-independent peers, will enable the use
of lower expansion factors to achieve the same reliability, but will increase
overhead because each peer needs to know something about every other, and the
rate at which peers come and go will be higher (requiring network maintenance
traffic). Also, the File Repairer work will increase with larger grids,
although then the job can be distributed out to more peers.

Higher values of N increase overhead: more shares means more Merkle hashes
that must be included with the data, and more peers to contact to retrieve the
shares. Smaller segment sizes reduce memory usage (since each segment must be
held in memory while erasure coding runs) and improves "alacrity" (since
downloading can validate a smaller piece of data faster, delivering it to the
target sooner), but also increase overhead (because more blocks means more
Merkle hashes to validate them).

In general, small private grids should work well, but the participants will
have to decide between storage overhead and reliability. Large stable grids
will be able to reduce the expansion factor down to a bare minimum while still
retaining high reliability, but large unstable grids (where nodes are coming
and going very quickly) may require more repair/verification bandwidth than
actual upload/download traffic.

Tahoe nodes that run a webserver have a page dedicated to provisioning
decisions: this tool may help you evaluate different expansion factors and
view the disk consumption of each. It is also acquiring some sections with
availability/reliability numbers, as well as preliminary cost analysis data.
This tool will continue to evolve as our analysis improves.

------------------------------

[1]: http://en.wikipedia.org/wiki/Zooko%27s_triangle

[2]: all of these names are derived from the location where they were
     concocted, in this case in a car ride from Boulder to DEN. To be
     precise, "tahoe 1" was an unworkable scheme in which everyone who holds
     shares for a given file would form a sort of cabal which kept track of
     all the others, "tahoe 2" is the first-100-peers in the permuted hash
     described in this document, and "tahoe 3" (or perhaps "potrero hill 1")
     was the abandoned ring-with-many-hands approach.