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How it works

First, it splits the data into chunks that have maximum 4KB payload by default, but this condition can modified as well as its span byte length (8 bytes) that indicates how long byte payload subsumed under the chunk.

If the payload byte length cannot fit exactly to this chunk division, the rightmost chunk's data will be padded with zeros in order to have fixed length data for the BMT operations.

This basic unit is also required to effectively distribute data on decentralized storage systems with regard to plausible deniability, garbage collection, load balancing and else. For more details, please visit Etherem Swarm webpage that has full implementation of this logic.

The used hashing algorithm is the keccak256 function that results in a 32 bytes long segment.

Performing BMT hashing on the chunk data will define the BMT root hash of the chunk. Then, for integrity considerations, the BMT root hash is hashed with the chunk's span from the left which takes the Chunk address.

BMT Hashing

In order to refer files also with a single 32 byte segment, the chunk addresses of the payload have to be hashed in the same way until the File address:

chunks can encapsulate 128 chunk addresses on the subsequent BMT tree level by default. These kind of chunks are called Intermediate chunks By the properties of a BMT tree, the chunks will end in a Root chunk that refers all chunks below (directly or indirectly) and its address will be the File address as well.

One can realize, the BMT levels can have an orphan chunk on the rightmost-side that cannot be hashed with a neighbour chunk, because it does not have a neighbour chunk (e.g. 129/129 chunk). When it occurs, it does not have a sense to hash this orphan chunk on every BMT level since it will be BMT hashed with zero data. That's why the the algorithm handles orphan chunk as Carrier chunk and tries to place it into that BMT tree level where the chunk address can be encapsulated with other addresses.

This BMT hashing of data allows to reference any file with unified 32 bytes unique address which is called content addressing.

File BMT calculation

Nevertheless, it also allows to perform lightweight compact inclusion proof on data. This proof requires little amount of data to be provided for proving whether any particular segment (32 bytes) of the data is present at a particular offset under the file address.

This feature allows to create a logic around data referenced by 32 bytes file addresses where the data segment values have to meet some conditions. The first/best use-case for this can happen via smart contracts that implement the validation functions that check the provided inclusion proof segments are indeed subsumed under the commited file references.

To get these inclusion segments, the library collects all required segments from the BMT tree that can be used for input of smart contract validation parameters.

Inclusion proof