From 62a140569e9bbfd3590a0820ee1d42e95d3b2a6a Mon Sep 17 00:00:00 2001 From: arnaucube Date: Fri, 31 Jan 2025 17:21:18 +0100 Subject: [PATCH] add initial spec of the merkletree (#10) * add initial spec of the merkletree * update gh workflow to work with the new book path * rephrase non-inclusion section --- .github/workflows/mdbook.yml | 6 +++-- README.md | 4 ++- book/book.toml | 3 +++ book/src/img/merkletree0.png | Bin 0 -> 175023 bytes book/src/img/merkletree1.png | Bin 0 -> 157995 bytes book/src/merkletree.md | 47 +++++++++++++++++++++++++++++++++++ 6 files changed, 57 insertions(+), 3 deletions(-) create mode 100644 book/src/img/merkletree0.png create mode 100644 book/src/img/merkletree1.png diff --git a/.github/workflows/mdbook.yml b/.github/workflows/mdbook.yml index 7826e71..41ac32c 100644 --- a/.github/workflows/mdbook.yml +++ b/.github/workflows/mdbook.yml @@ -36,11 +36,13 @@ jobs: id: pages uses: actions/configure-pages@v4 - name: Build with mdBook - run: mdbook build + run: | + cd book + mdbook build - name: Upload artifact uses: actions/upload-pages-artifact@v3 with: - path: ./book + path: ./book/book deploy: environment: diff --git a/README.md b/README.md index b7fb583..14a67a8 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,5 @@ # POD2 -TODO +Specification can be found at the [`book`](https://github.com/0xPARC/pod2/tree/main/book) directory, a live rendered version at: https://0xparc.github.io/pod2/ + +Requires Rust nightly: `rustup override set nightly`. diff --git a/book/book.toml b/book/book.toml index e17c20c..cf50c6d 100644 --- a/book/book.toml +++ b/book/book.toml @@ -4,3 +4,6 @@ language = "en" multilingual = false src = "src" title = "POD2-docs" + +[output.html] +default-theme = "light" diff --git a/book/src/img/merkletree0.png b/book/src/img/merkletree0.png new file mode 100644 index 0000000000000000000000000000000000000000..87db4590e1d040d994c7176364e8e84766bc4668 GIT binary patch literal 175023 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"424242", + dateOfBirth: 1169909384, + userPk: 9876543210, // target user of this POD + _signerPk: 1234567890, // signer of the POD + } +} +``` + +The merkletree will contain the key values from the `kvs` field. + +Suppose that the binary representation of the key `userPk` is `1011...`. This uniquely defines the leaf position that contains the public key of the authenticated user. + +![](img/merkletree1.png) + + +## Proofs of inclusion and non-inclusion +Merkle proofs contain the siblings along the path from the leaf to the root, where the leaf position is determined by the key binary representation. + +Since leaf positions are deterministic based on the key, the same approach is used for non-inclusion proofs, where it can be proven that a key is not in the tree, and furthermore, that a value is not in the tree (although the key exists): +- Proving that the key does not exist in the tree is achieved by generating the merkle-proof for the specific key, and showing that the (virtual) leaf is empty - this is, showing that going down the path of the non-existing key, there is a leaf with a different key, meaning that the non-existing key has not been inserted in the tree. +- Proving that a value is not in the tree (although the key exists) is achieved by generating the merkle-proof for the specific key, and showing that the leaf exists but it has a different value than the one being proved. + + + +## Encoding +> TODO: how key-values, nodes, merkle-proofs, ... are encoded. + +## Temporary first version +The first iteration of the implementation uses a hash of the key-values concatenated, with the idea of replacing it by the MerkleTree approach described above. + + +## Resources +- [https://docs.iden3.io/publications/pdfs/Merkle-Tree.pdf](https://docs.iden3.io/publications/pdfs/Merkle-Tree.pdf) +- [https://eprint.iacr.org/2018/955](https://eprint.iacr.org/2018/955)