From ee1d3d262575b49f4c549eedd79a09005cb3b07e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Wed, 12 Jul 2023 18:16:21 +0200 Subject: [PATCH 01/12] Update rsa modulus endianess to match most protocols --- spec/shared-private-data.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/spec/shared-private-data.md b/spec/shared-private-data.md index cb13cf1..458b28c 100644 --- a/spec/shared-private-data.md +++ b/spec/shared-private-data.md @@ -41,7 +41,7 @@ See the [example exchange partition layout](#exchange-partition-layout) for exam Individual device exchange keys are versioned. The protocol version is derived from the file name. Protocol version 1 exchange keys are named `v1.exchangekey`. -The file's content is 256 bytes of the exchange key's RSA public modulus encoded as low-endian unsigned integer. +The file's content is 256 bytes of the exchange key's RSA public modulus encoded as big-endian unsigned integer. See the [test vectors](#exchange-key-test-vectors) for examples. @@ -74,7 +74,7 @@ function computeShareLabel(senderRootDID: string, recipientExchangeKey: ByteStri } ``` -Here `encode` is a function that maps a share counter to a low-endian byte array encoding of a 64-bit unsigned integer. +Here `encode` is a function that maps a share counter to a little-endian byte array encoding of a 64-bit unsigned integer. The `recipientExchangeKey` are the recipient device's exchange key bytes, including the protocol versioning prefix. @@ -157,7 +157,7 @@ This directory MAY be constructed on-the-fly. Its bare namefilter then consists The hex encoded bytes for the [RSA-2048](https://en.wikipedia.org/wiki/RSA_numbers#RSA-2048) public modulus used as an exchange key of protocol version 1: ``` -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 ``` The RSA-2048 public modulus is this decimal-encoded number: From a8bb40e75149cc2993ad58435317814e0533a2d6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Wed, 12 Jul 2023 18:17:30 +0200 Subject: [PATCH 02/12] Whoops, fix `low-endian` -> `little-endian` --- .github/workflows/words-to-ignore.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/words-to-ignore.txt b/.github/workflows/words-to-ignore.txt index 9296065..2942899 100644 --- a/.github/workflows/words-to-ignore.txt +++ b/.github/workflows/words-to-ignore.txt @@ -72,8 +72,8 @@ extractable golang idempotence like omnipotence inline like outline +little-endian lookup like noun -low-endian merkle merklization multicodec like noun From 9fd436133b4945b7868b1b18ba9c152e12116d04 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Wed, 12 Jul 2023 18:39:00 +0200 Subject: [PATCH 03/12] Typo --- spec/private-wnfs.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec/private-wnfs.md b/spec/private-wnfs.md index 21cff09..abbc19f 100644 --- a/spec/private-wnfs.md +++ b/spec/private-wnfs.md @@ -386,7 +386,7 @@ function* shardLabels(key: Key, count: Uint64, bareName: Namefilter): Iterable Date: Mon, 17 Jul 2023 17:20:56 +0200 Subject: [PATCH 04/12] Remove `namefilter.md` --- spec/namefilter.md | 63 ---------------------------------------------- 1 file changed, 63 deletions(-) delete mode 100644 spec/namefilter.md diff --git a/spec/namefilter.md b/spec/namefilter.md deleted file mode 100644 index fd98e97..0000000 --- a/spec/namefilter.md +++ /dev/null @@ -1,63 +0,0 @@ -# Namefilters - -A namefilter in WNFS is a 256 bytes (2048 bits) bloom filter. Its bloom filter parameters are tuned for 47 elements resulting in an optimal 30 hash functions used. - -Formally the construction we are using is known a *symmetric cryptographic accumulator* or a *Nyberg accumulator*. - -The namefilter is used as an obfuscated naming scheme for private blocks. You should think of it similar to the name of a public directory or file consisting of all the directory or file's ancestors and the name of the file or directory itself. For example, the file path "/public/Documents/thesis.pdf" contains its own name "thesis.pdf" and its ancestor's names "public" and "Documents". -Similarly, namefilters are bloom filter that contain the identity numbers (`inumber`s) of what they're addressing and their ancestors. -Given only such a namefilter, it's impossible to extract the original `inumber`s in the path of that namefilter. -However, given a single `inumber` that is contained in the namefilter, it's possible to verify its membership in the namefilter (with a false positive rate of 1 in a billion) without revealing information about any other members of that namefilter. -This is useful for proving that you have right access to a particular file or directory and all of its descendants to a third party that doesn't need to be able to read the private files that are written to. - -## Initialization - -A namefilter starts out as an empty bloom filter, i.e. a byte string of length 256 with all bytes zeroed out. - -Such a bloom filter is considered a "bare" namefilter until it is saturated, i.e. until at least 1019 bits are set to one. - -Only bare namefilters can have items added to them. Once a namefilter is saturated, it must not have items added to it. - -Bare namefilters should be treated as confidential. - -If a bare namefilter is not saturated after processing, it must undergo a saturation operation before being shared publicly. - -## Operation `add` - -A bare namefilter can have an item added to it by setting 30 indices of its internal bitarray to one. -These 30 indices are computed like this: - -```ts -function indexFor(element: ByteArray, n: uint64): uint64 { - return xxhash3_64withSeed(sha3(element), n) -} -``` - -## Operation `has` - -A namefilter can be queried for elements it may contain by going through the indices for an element as described in [Operation `add`](#Operation-add) and testing that every bit at these indices has been set. - -If that is the case, then the element is part of the namefilter, except for false positives that should occur for less than 1 in a billion elements on saturated namefilters. - -If that is not the case, then the element is definitely not part of the namefilter. - - -## Operation `saturate` - -```ts -let namefilter: ByteArray<256> = // ... -let index = 0 -let xof: (index: uint64) => ByteArray<32> = shake256XOF(namefilter) - -while (true) { - // addBare is a version of 'add' that skips the 'sha3' step on its input. - const nextNamefilter = addBare(namefilter, xof(index)) - - if (countOnes(nextNamefilter) > 1019) { - return namefilter - } - - namefilter = nextNamefilter - index++ -} -``` From fff9a1978416383f3cbae1dad0326f9be5d480d5 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Mon, 17 Jul 2023 18:21:46 +0200 Subject: [PATCH 05/12] Write verification algorithm --- spec/nameaccumulator.md | 40 ++++++++++++++++++++++++++++------------ spec/private-wnfs.md | 14 ++++++++------ 2 files changed, 36 insertions(+), 18 deletions(-) diff --git a/spec/nameaccumulator.md b/spec/nameaccumulator.md index 52726f0..54875b1 100644 --- a/spec/nameaccumulator.md +++ b/spec/nameaccumulator.md @@ -33,8 +33,8 @@ Proofs and witnesses of relationships between name accumulators come in various | Proof component | Representation | |----------------------------------------|----------------| | Element in the quadratic residue group | 256 byte big-endian byte array | -| Prime hash $l$ | 16 byte big-endian byte array and big-endian unsigned varint counter | -| Residue $r$ | 16 byte big-endian byte array | +| Prime hash $l$ | 16 byte little-endian byte array and [unsigned varint] counter | +| Residue $r$ | 16 byte little-endian byte array | Collecting these proof components into their own structures is up to implementations. Future versions of this specification may describe an encoding. @@ -46,7 +46,7 @@ Collecting these proof components into their own structures is up to implementat To add an element, exponentiate the current state of the name accumulator to the element added and take the setup's modulo. With the current accumulator state denoted as $u$, the element denoted as $e$ and the RSA modulus denoted as $N$, the new accumulator state $u'$ is -$$u' = u^e \mod\ N$$. +$$u' = u^e \mod\ N$$ ### 2.2 Empty Accumulator @@ -85,14 +85,14 @@ function hashToPrime( ### 2.4 Batched Elements Proof -`batch_proof_elements : (SetupParameters, NameAccumulator, Array) -> (NameAccumulator, ElementsProof)` +`batchProofElements : (SetupParameters, NameAccumulator, Array) -> (NameAccumulator, ElementsProof)` This algorithm updates an accumulator state by adding an arbitrary number of prime-sized elements to it and produces a succinct proof that verifies that the proving party knows a set of elements to go from the past state of the accumulator to the current. The algorithm for this proof is the "proof of knowledge of exponent" (PoKE*) from [this paper][IOP Batching Boneh], made non-interactive via the Fiat-Shamir heuristic. The number $l$ from the protocol is derived via SHA-3-hashing the big-endian bytes of the modulus, base, commitment and a counter. The base is the accumulator state before the elements were added and the commitment is the state after. -The counter is the lowest 32-bit number that makes the first 128-bit truncated hash prime, if interpreted as a big-endian unsigned 128-bit integer. +The counter is the lowest 32-bit number that makes the first 128-bit truncated hash prime, if interpreted as a little-endian unsigned 128-bit integer. ```ts function deriveLHash( @@ -110,21 +110,37 @@ function deriveLHash( When generating the proof, we additionally output the counter that was used for making the truncated hash prime. Although this counter is not necessary for verification, it's useful by making it constant-time. -This method hashing to a prime number is described in Section 7 of [this paper][IOP Batching Boneh]. +This method of hashing to a prime number is described in Section 7 of [this paper][IOP Batching Boneh]. -The final `ElementsProof` output consists of the residue $r$, $l$ hash counter and the number $Q$. They are derived as described in the PoKE* protocol from section 3.2 of [this paper][IOP Batching Boneh]. +The final `ElementsProof` output consists of the residue $r$, $l_{nonce}$ hash counter and the number $Q$. They are derived as described in the PoKE* protocol from section 3.2 of [this paper][IOP Batching Boneh]. ### 2.5 Multi-Batch Elements Proof -`multi_batch_elements_proofs : (SetupParameters, Array<(NameAccumulator, NameAccumulator, ElementsProof)>) -> MultiBatchProof` +`multiBatchElementsProof : (SetupParameters, Array<(NameAccumulator, NameAccumulator, ElementsProof)>) -> MultiBatchProof` -This algorithm batches multiple batch elements proofs together. It combines the PoKCR (Proof of Knowledge of Co-prime Roots) from Section 3.3 of [this paper][IOP Batching Boneh] with the previously described PoKE* (see the last paragraph). +This algorithm batches multiple batch elements proofs together. It combines the PoKCR (Proof of Knowledge of Co-prime Roots) from Section 3.3 of [this paper][IOP Batching Boneh] with the previously described PoKE* (see the previous section). -The resulting proof is not fully succinct. It only manages to compress the number $Q$ from each `ElementsProof`, but still requires that you keep around all residues $r$ and $l$ hash counters as well as which accumulator states they are related to. +The resulting proof is not fully succinct. It only manages to compress the number $Q$ from each `ElementsProof`, but still requires that you keep around all residues $r$ and $l_{nonce}$ hash counters as well as which accumulator states they are related to. -The output consists of $Q^*$, the product of all numbers $Q$ from the `ElementsProof`s as well as all residues $r$ and all $l$ hash counters, mapped to the accumulator states they prove. +The output consists of $Q^*$, the product of all numbers $Q$ from the `ElementsProof`s as well as all residues $r$ and all $l_{nonce}$ hash counters, mapped to the accumulator states they prove. +### 2.6 Multi-Batch Elements Proof Verification + +`verifyMultiBatchElementsProof : (SetupParameters, MultiBatchProof) -> Boolean` + +This algorithm verifies the multi-batch proof's mapping of accumulator states. The multi-batch proof contains a single accumulator value $Q$ as well as a mapping of accumulator before to after states together with a residue $r$ and hash counter $l_{nonce}$. + +It then does the following steps: +1. Initialize an empty array `basesAndExponents`. +2. Go through each mapping of accumulator states, for each: + 1. Compute the $l$ hash by using `deriveLHash` from the [Batched Elements Proof algorithm](#24-Batched-Elements-Proof). It's RECOMMENDED to speed the prime hash computation up by making use of the given hash counter $l_{nonce}$. + 2. Verify that $l < r$. If not, return `false`. + 3. Given the accumulator before state $b$ and after state $c$, compute $c * b^{-r}\ mod\ N$. + 4. Push this result together with the $l$ hash as a tuple into `basesAndExponents`. +3. Compute $l^*$ as the product of all $l$ hashes in `basesAndExponents`. +4. Verify that $Q^{l^*} \equiv \mathtt{multiExp}(\mathtt{basesAndExponents})\ mod\ N$, where `multiExp` is multi-exponentiation as described in [section 3.3 of this paper][IOP Batching Boneh]. Otherwise return `false`. +5. Return `true`. [RSA acc og paper]: https://link.springer.com/content/pdf/10.1007/3-540-48285-7_24.pdf [IOP Batching Boneh]: https://eprint.iacr.org/2018/1188.pdf - +[unsigned varint]: https://github.com/multiformats/unsigned-varint diff --git a/spec/private-wnfs.md b/spec/private-wnfs.md index a6a024b..3e29953 100644 --- a/spec/private-wnfs.md +++ b/spec/private-wnfs.md @@ -332,18 +332,18 @@ Every private forest label MUST be represented as a 2048-bit positive integer th This integer represents an RSA accumulator commitment, committing all i-numbers of its path as well as a revision secret derived from the skip ratchet. As an example, let's look at the accumulator for a file at the path `/Docs/University/Notes.md`. -Assuming it's encrypted with a `snapshotKey` and the i-numbers for `Docs`, `University` and `Notes.md` are `inum(docs)`, `inum(uni)`, and `inum(notes)` respectively, then the private forest label is this: +Assuming its header contains `ratchet` and the i-numbers for `Docs`, `University` and `Notes.md` are `inum(docs)`, `inum(uni)`, and `inum(notes)` respectively, then the private forest label is this: ```typescript accumulate([ inum(docs), inum(uni), inum(notes), - hashToPrime(snapshotKey) + hashToPrime(ratchet.deriveKey("wnfs/segment deriv from temporal")) ]) ``` -The function `accumulate` is defined in the [`NameAccumulator` specification](/spec/nameaccumulator.md#TODO) using the modulus and generator stored at the `PrivateForest` root. +The function `accumulate` is defined in the [`NameAccumulator` specification](/spec/nameaccumulator.md#21-Accumulation) using the modulus and generator stored at the `PrivateForest` root. ### 4.2 Write Access Delegation @@ -359,21 +359,23 @@ Extending the example from the section above: If the root owner wants to delegat When a recipient of a delegation wants to prove or further delegate write access, they prove that the path that they delegate is a superset of the path segments that they have access to. -This proof is made in the form of a "proof of exponent" as explained in the [name accumulator specification](/spec/nameaccumulator.md#TODO). +This proof is made in the form of a "proof of exponent" as explained in the [name accumulator specification](/spec/nameaccumulator.md#24-Batched-Elements-Proof). The inputs to the proof are then the name accumulator of the path they have access to as a witness and the path they want to delegate further as the commitment. ### 4.3 Write Access Batch Proofs We assume that third parties checking writes don't have read access to the decrypted file system itself. So when a peer with delegated write access wants to prove that their write is valid, they follow a similar protocol as described in the previous section, except they create proofs of exponents for the labels in the private forest that they modified. -The biggest part of these proofs of exponents can be batched together using the algorithm described in the [name accumulator specification](/spec/nameaccumulator.md#TODO). +The biggest part of these proofs of exponents can be batched together using the algorithm described in the [name accumulator specification](/spec/nameaccumulator.md#25-Multi-Batch-Elements-Proof). ### 4.4. Write Access Batch Proof Verification Verifying a change in a private forest from one root CID to another follows these steps: 1. Compute the diff between the forests to obtain the labels of entries that were created, removed or updated between the two revisions. 2. From the provided certificates, extract all validly signed name accumulators that the writer has access to. -3. Verify provided batch proofs as described in the [name accumulator specification](/spec/nameaccumulator.md#TODO) and match their bases against the validly signed name accumulators from the certificates. +3. Verify provided batch proofs as described in the [name accumulator specification](/spec/nameaccumulator.md#26-Multi-Batch-Elements-Proof-Verification). +4. Match the bases in the multi-batch proof against the validly signed name accumulators from the certificates. +5. Make sure that all keys that changed between private forest versions were proven in the multi-batch proof. # 4 Algorithms From 7178e3adad092aeb6c8400e91e1c5bd8d2130cc1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Mon, 17 Jul 2023 18:22:10 +0200 Subject: [PATCH 06/12] Remove `TODO` from the allowed words list... --- .github/workflows/words-to-ignore.txt | 1 - 1 file changed, 1 deletion(-) diff --git a/.github/workflows/words-to-ignore.txt b/.github/workflows/words-to-ignore.txt index 111184d..7c5129d 100644 --- a/.github/workflows/words-to-ignore.txt +++ b/.github/workflows/words-to-ignore.txt @@ -122,4 +122,3 @@ javascript # other md -TODO From 9f224d834cec5f09eb6372a71216c6d920ca7015 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Kr=C3=BCger?= Date: Mon, 17 Jul 2023 18:58:59 +0200 Subject: [PATCH 07/12] Change from SHA3 to Blake3, more domain separation --- .github/workflows/words-to-ignore.txt | 1 + spec/diagrams/node_key_layout.png | Bin 560748 -> 476324 bytes spec/diagrams/node_key_layout.tldr | 2181 ++++++++++++------------- spec/nameaccumulator.md | 10 +- spec/notation.md | 2 +- spec/private-wnfs.md | 15 +- spec/shared-private-data.md | 4 +- spec/skip-ratchet.md | 14 +- 8 files changed, 1042 insertions(+), 1185 deletions(-) diff --git a/.github/workflows/words-to-ignore.txt b/.github/workflows/words-to-ignore.txt index 7c5129d..d56202d 100644 --- a/.github/workflows/words-to-ignore.txt +++ b/.github/workflows/words-to-ignore.txt @@ -19,6 +19,7 @@ AES-KW AES-KWP AES-OCB AES-SIV +Blake3 CBOR like ABC CID like ABC CRDT like ABC diff --git a/spec/diagrams/node_key_layout.png b/spec/diagrams/node_key_layout.png index 700c424140bab0b46a2e8ac8cb0fd2e532bad8c9..ed05ffc8b2e150844f554483eb3ec9019c108c92 100644 GIT binary patch literal 476324 zcmeFabyU>rw?950D1wEg^bwN|1?jOsB?Sa&m2L?c8pc8zi z8u&hQKKC5naIf5RS?k{4TEF%A!*w__@7T}o{o4C^##2E~>L@84DGUZXdi&N5MHq|} z4*r#p90Z@tAAD2;{zG7+D0K~%TE{RB{^#)HTWU5i81;GlKLUZ|Q3n`|1$O(!Rb_ka 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