1. Pastry: Scalable, decentralized object location and routing for large-scale peer-to-peer systems Antony Bowstron & Peter Druschel Presented by: Long Zhang

2. Outline Introduction Design of Pastry  Node state & routing  Pastry API  Self-organization and adaptation  Locality Experimental Results Discussion

3. Introduction: What is Pastry? It ’ s a scalable, distributed, decentralized object location and routing substrate Serves as a general substrate for building P2P applications: SCRIBE, PAST, … etc. Seeks to minimize distance messages travel Pastry ’ s main capability

4. Pastry Node Represented by 128-bit randomly chosen nodeId (Hash of IP or public key) NodeId is in base 2 b (b is a configuration parameter; b typical value 2 or 4) Evenly distributed nodeIds along the circular namespace (0-2 128 – 1 space). Routes a message in O(log N) steps to destination  N: size of network Node state contains:  Leaf Set ( L )  Routing table ( R )  Neighborhood Set ( M )

5. Design of Pastry: Node state Leaf set: L Numerically closest nodes ( L is a configuration parameter = 16, 32 typically ) Routing Table (Prefix- based) Neighborhood Set: M physically closest nodes

6. Pastry node state (Leaf Set) Serves as a fall back for routing table and contains:  L/2 numerically closest and larger nodeIds  L/2 numerically closest and smaller nodIds Size of L is typically 2 b or 2 x 2 b Nodes in L are numerically close (could be geographically diverse)

7. Pastry node state: Neighborhood set (M) Contains the IP addresses and nodeIds of closest nodes according to proximity metric Size of |M| is typically 2 b or 2x2 b Not used in routing, but instead for maintaining locality properties

8. Node state: Routing Table Matrix of Log 2 b N rows and 2 b – 1 columns ( N is the number of nodes in the network ) Entries in row n match the first n digits of current nodeId AND Column number follows matched digits: Format: matched digits – column number – rest of ID Log 2 b N populated on average

9. Node10233102 (2), (b = 2, l = 8) 0123 022121022230120331203203 113012331223020313021022 100312031013210210323302 10200230102113021022302 102303221023100010232121 1023300110233232 10233120

10. Routing (2) : If message with key D is within range of leaf set, forward to numerically closest leaf Else forward to node that shares at least one more digit with D in its prefix than current nodeId If no such node exists, forward to node that shares at least as many digits with D as current nodeId but numerically nearer than current nodeId

11. Routing Messages (1) Node is in the leaf set (2) Forward message to a closer node (Better match) (3) Forward towards numerically Closer node (not a better match) D: Message Key L i : i th closest NodeId in leaf set shl(A, B): Length of prefix shared by nodes A and B R i j : (j, i) th entry of routing table

12. Routing Example:

13. Routing Performance: (1) If key is within leaf set:  target one hop away (2) If key has to be routed:  Number of nodes with longer prefix decreases by 2 b (3) Key is not covered by the leaf set (i.e., failed)  With high probability, one more hop needed Thus: Number of routing steps needed  log 2 b N 

14. Pastry node join X = new node, Z = numerically closest node, A = bootstrap (A is close in proximity space to X) X sends a join message to A with target nodeId X A forwards to B  C  … Stops at Z, numerically closest to X ’ s nodeId In process, A,B, …,Z send their state tables to X

15. Node Join X ’ s neighborhood set (NS) = A ’ s NS X ’ s Leaf Set = Z ’ s leaf set X ’ s routing table is filled as follows:  X ’ s Row 0 = A ’ s row 0 (X 0 = A 0 )  X ’ s Row 1 = B ’ s row 1 (X 1 = B 1 )  … etc. X sends its state to every node in its state tables ( Leaf set, neighborhood set, and routing table)

16. Node Join: Example

17. Node departure (2) Invalid nodes in leaf set: detected by heartbeat monitor  Repair by inserting node from another leaf ’ s LS Heartbeat for neighborhood set (NS)  Query all NS members for their NS tables, choose replacement according to proximity metric Invalid routing entries detected when attempting to route  Query nodes in row for replacement entry, if failed  Query successive rows until success

18. Node failure in routing table: example If node in red fails

19. Locality in Pastry Based on proximity metric (i.e., No. of IP hops, geographic distance) Proximity space is assumed to be Euclidean The route chosen for a message is likely to be “ good “ with respect to the proximity metric We will discuss locality regarding:  Routing table locality  Route locality  Locating the nearest among k nodes

20. Locality in Routing tables Invariant: “ all routing table entries refer to a node that is near the present node, according to the proximity metric, among all live nodes with a prefix appropriate for the entry. ” We wish to maintain the invariant when adding new nodes. X joins; A is close to X; X 0 = A 0, so locality holds in X ’ s routing table X 1 = B 1. Entires in B 1 (row 1 of X) are close to B, but are they necessarily close to X?

21. Locality in routing table Entries of B 1 are reasonable close to X Why?  A is much closer to B than entry in B 1 to B because every time we choose from an exponentially decreasing set of nodes To improve proximity approximation:  X Queries nodes in routing table and neighborhood set for their state  Compares distances (from routing table entries) and update route entries with closer nodes if found.

22. Route locality At each routing step the message is moved closer to the destination in the :  nodeId space (numerically closer nodes)  proximity space: message travels the least possible distance Given that:  A message routed from A to B at a distance d cannot be routed to a node with a distance of less than d from A. ( follows from routing procedure )  Expected distance traveled increases exponentially Though shortest path is not guaranteed, we still get a good route.

23. Locality among k nodes In some Pastry-based applications, object is replicated on k nodes on its route (during insertion) In prefix-base routing: goal is to reach any of k numerically closest nodes that has a copy of object May miss nearby nodes with different prefix Use heuristic to determine when close to k nearest nodes  Based on density of nodeIds that store object; using local info  Switch to numerically closest address

24. Arbitrary node failure Node continues to be responsive, but behaves incorrectly or maliciously. Repeated queries fail each time because they normally take the same route. How to solve it? Use randomized routing  The choice among multiple nodes that satisfy the routing criteria should be made randomly

25. Routing Performance |L|=16 * b=4 * |M|=32 * 200,000 lookups

26. Pastry routing

27. Routing with failures

28. Pastry locality

29. Summary Pastry is a generic P2P object location and routing substrate Distributed, and scales well Used in developing applications like file storage, global file sharing,...etc. Considers locality when routing messeges

30. Discussions Security Compared with Chord and other P2P overlay Other technique problems

31. Security Pastry is an application-level routing and object location tool, which bear a security hazard, for example, if there is a malicious node who fake the routing table, I think it can fetch the useful information from others, or send the bad information which will impair the others. How to avoid it?

32. Security They talk about using randomized paths to guard against malicious and/or failed nodes. While this may take care of an attacker who is mis-routing the information, what is done about attackers who try a Denial of Service attack by overloading the system? Also, is the integrity and confidentiality of messages guaranteed in case of a snooping attacker? Could it be possible to mount a man in the middle attack by routing a lot of packets through one's own node?

33. Compared with Chord and other P2P overlay 1. "Pastry" despite being a good design (in 2001) failed to find real-world usage. In fact CHORD, Pastry and other P2P designs from that era (~2001) didn't get popular. Why do you think that "Pastry" and other first- generation DHT designs weren't successful (commercially or in terms of real-world usage)?

34. Compared with Chord and other P2P overlay Has this completely symmetric p2p strategy "won" over hierarchical p2p, where there are supernodes which maintain information about a subset of nodes they are responsible for? (ex, FastTrack which Kazaa used). I mean "won" in terms of scalability and performance.

35. Compared with Chord and other p2p overlay Except the fact that pastry uses the prefix of numerical representation to locate routing information, I think the idea is also somehow quite similar to Chord which we discussed in last class, is that correct? Which one is better? Can performance of Chord dominate Pastry?

36. Compared with Chord and other p2p overlay What large scale applications would want to use a system like Pastry or Chord? If we had a large system that spanned many nodes, it seems like it would be worth the extra effort to optimize the mechanism to best suit the applications needs. (as opposed to a general purpose solution)

37. Compared with Chord and other p2p overlay In Pastry each node is required to keep more information then Chord. It is hard to keep all these up to date even in Chord. How can it not be a large overhead in Pastry?

38. Compared with Chord and other p2p overlay There is no experiment about concurrent joins. Will Pastry perform worse than Chord when concurrent joins happen, as it involves more complex updates even in the situation of single join?

39. Compared with Chord and other p2p overlay In the Pastry it tries to reach the node closing down on the key positions in the NodeID. Would it be more suitable to consider the geographical proximity and route it ? The number of messages can still be minimize and is there any other system which consider geographical proximity in routing in P2P system ?

40. Other technique problems In node arrival, X (the new node) will first contact A which is physically closest. What is benefit of first calling A rather than Z which is numerically closest to X ? (I do not see any GOOD reason why we should keep track of our neighbourhood set at all)

41. Other technique problems In order to join de-centralized P2P networks we need to know the IP address of existing peer. (Even current generation KAD network uses bootstrap nodes.dat file which is distributed along with the application) Is it possible to discover and connect to a P2P network without bootstrapping information?

42. Other technique problems The authors mention using some sort of metric to determine the "distance" between two nodes, and also state that IP hop count may be a sensible choice of metric. Realistically, is this a useful metric? It seems that there are many better metrics (based on bandwidth, latency, etc), but they are harder to measure. Given the difficulty in measuring a truly useful metric of network distance, is it still valuable to minimize distance?

43. Other technique problems The authors state that their implementation handled at least three thousand messages per second. In a real modern peer-to-peer network, is this a reasonable number? Or is the query rate much higher on a modern peer-to-peer application?

44. Other technique problems The authors say that if the triangle inequality doesn't hold, the "locality properties of pastry routes may suffer", but then use an evenly distributed system of nodes to measure their performance metrics. Would it have been that hard to re run the experiments with a more clustered distribution of nodes in the plane, which is more realistic, and this way they could quantify how much the routes suffer.

45. Other technique problems I don't understand why every row in the routing table has exponentially less nodes to chose from, and hence the nodes are exponentially further away distance wise. Given that the nodes are randomly distributed in the space, there should (probabilistically) be an equal number of nodes in the same area, that share a 1,2,3 or n bit prefix with the given node. The 2 shared prefixed nodes should be no further out than the 1 shared prefix ones, should they?

46. Other technique problems Pastry uses an optimistic approach to controlling concurrent node arrivals and departures that the arrival/departure of a node affects only a small number of existing nodes in the system. Is this the case in practical p2p system?