mirror of
https://github.com/luxfi/magnetar.git
synced 2026-07-27 02:53:47 +00:00
Commits 1 outstanding change(s) that were sitting uncommitted. No build artifacts and no secrets in the changeset (both checked).
791 lines
37 KiB
Markdown
791 lines
37 KiB
Markdown
# Changelog --- Magnetar
|
||
|
||
All notable changes to the Magnetar SLH-DSA library and NIST MPTC
|
||
submission package are tracked in this file.
|
||
|
||
The format follows [Keep a Changelog](https://keepachangelog.com/en/1.1.0/);
|
||
Magnetar adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
|
||
|
||
## [1.2.0] --- Dealerless PVSS-DKG setup: no trusted dealer
|
||
|
||
### Headline
|
||
|
||
v1.2 closes `MAGNETAR-PVSS-DKG-V11`. The THBS-SE setup path no longer
|
||
requires a trusted dealer holding the master byte vector even
|
||
transiently. A new `NewThbsSeKeyFromDealerlessDKG` constructor
|
||
accepts a `PVSSTranscript` from an n-party Schoenmakers-style
|
||
PVSS-DKG run over GF(257) and assembles a `ThbsSeKey` byte-shape
|
||
identical to the dealer-path output.
|
||
|
||
The implicit master M = sum_{i in Q} m_i mod 257 byte-wise is NEVER
|
||
materialised in any party's memory during setup. The only point at
|
||
which M is transiently assembled is inside the
|
||
`deriveDKGPublicKey` closure (named `lagrangeScratch`, zeroized at
|
||
closure exit) when an auditor invokes `VerifyDKGTranscript` to
|
||
derive the public key.
|
||
|
||
### New public surface
|
||
|
||
- `NewPVSSPartyState` --- one party's Round-1 state.
|
||
- `PVSSPartyState.PublicContribution` --- broadcast payload.
|
||
- `PVSSPartyState.ShareTo(j)` --- private share row for recipient j.
|
||
- `PVSSPartyState.RevealMsg` --- Round-2 reveal payload.
|
||
- `VerifyContribution` / `VerifyShareConsistency` --- public-form
|
||
per-party verifiers.
|
||
- `RunDKGSimulation` --- single-process n-party simulation harness.
|
||
- `PVSSTranscript` --- canonical wire-shape record of a full DKG run.
|
||
- `VerifyDKGTranscript` --- public-form auditor entry point;
|
||
returns (qualified set, derived PK, error).
|
||
- `NewThbsSeKeyFromDealerlessDKG` --- the headline closure: takes a
|
||
PVSSTranscript and emits a canonical `ThbsSeKey`.
|
||
- `PVSSComplaint` / `VerifyPVSSComplaint` --- public-form slashing
|
||
evidence for malicious Round-2 reveals.
|
||
|
||
### Wire compatibility
|
||
|
||
- Wire format (MAGS / MAGG envelopes) is UNCHANGED at v1.2. The
|
||
dealerless setup produces share envelopes byte-shape identical to
|
||
what the dealer path produces for the same implicit master;
|
||
already-deployed share material is forward-compatible.
|
||
- THBS-SE share format, slot-guard state, equivocation evidence
|
||
shape, and protocol round structure are UNCHANGED.
|
||
- API additions: `NewThbsSeKeyFromDealerlessDKG` is a new
|
||
constructor in the same `magnetar` package; the existing
|
||
`NewThbsSeKey` dealer-path constructor is retained for KAT
|
||
reproducibility and foundation-HSM bootstrap.
|
||
- v1.1.0 consumers bump to v1.2.0 transparently --- the new
|
||
constructor is additive.
|
||
|
||
### Hard invariant (load-bearing v1.2)
|
||
|
||
NO PARTY (and no transient dealer) EVER HOLDS THE MASTER BYTE
|
||
VECTOR AT ANY TIME DURING SETUP.
|
||
|
||
Enforced by:
|
||
|
||
- `TestPVSS_DKG_NoSinglePartyHoldsMaster` (full DKG exercise +
|
||
AST-walk guard on `pvss_dkg.go` against master-naming).
|
||
- `TestPVSS_DKG_ByteCompatWithDealerPath` (wire-byte equality
|
||
between dealerless and dealer paths for the same implicit master).
|
||
- `TestPVSS_DKG_AdversarialReveals` (t-1 corrupted parties cannot
|
||
recover the master from their partial-sum view).
|
||
- `TestPVSS_DKG_RobustnessAgainstMaliciousCommitments` (malicious
|
||
parties detected at Round 2 and excluded from Q; clean termination
|
||
via `ErrPVSSQuorumLost` when |Q| < t).
|
||
- `TestPVSS_DKG_EndToEnd_SignAndVerify` (dealerless-DKG-produced
|
||
`ThbsSeKey` flows into `ThbsSeRound1` / `Combine` unchanged and
|
||
emits a signature that verifies under unmodified
|
||
`cloudflare/circl/sign/slhdsa.Verify`).
|
||
|
||
### EasyCrypt theory
|
||
|
||
`proofs/easycrypt/Magnetar_N5_PVSS_DKG.ec` --- Class N5 secrecy,
|
||
correctness, and wire-compat theorems for the PVSS-DKG path. 2
|
||
admits (Shamir info-theoretic cross-cite + Go-extraction trust
|
||
boundary).
|
||
|
||
### Composition
|
||
|
||
The dealerless setup composes with the v1.1 strict-atom Combine
|
||
path: a `ThbsSeKey` produced by `NewThbsSeKeyFromDealerlessDKG`
|
||
flows through `Combine` unchanged. The signature emitted is
|
||
byte-equal to what `Combine` would emit on a dealer-path
|
||
`ThbsSeKey` for the same implicit master.
|
||
|
||
## [1.1.0] --- 2026-05-31 --- Strict-atom Combine: no named transient seed binder
|
||
|
||
### Headline
|
||
|
||
v1.1 closes `MAGNETAR-STRICT-ATOM-V11`. The THBS-SE permissionless
|
||
threshold Combine path no longer materialises the FIPS 205 master
|
||
under a named `seed` / `skSeed` / `skPrf` variable in the public
|
||
combiner's scope. The path is implemented at
|
||
`ref/go/pkg/magnetar/thbsse_assemble.go::assembleSignatureBytes`
|
||
backed by `ref/go/pkg/magnetar/slhdsa_internal.go::slhSignAtom`
|
||
(Magnetar-internal FIPS 205 sec 5--sec 8 walk for the SHAKE family).
|
||
|
||
### Wire-format-stable refactor
|
||
|
||
- Wire format (MAGS / MAGG envelopes) is UNCHANGED at v1.1. KAT
|
||
vectors regenerate to the same bytes.
|
||
- THBS-SE share format, slot-guard state, equivocation evidence
|
||
shape, and protocol round structure are UNCHANGED.
|
||
- API: `Combine`, `NewThbsSeKey`, `ThbsSeRound1`, etc. have the
|
||
SAME signatures. The strict-atom path is an internal refactor of
|
||
Combine's tail.
|
||
- v1.0.0 consumers bump to v1.1.0 transparently.
|
||
|
||
### Strict-atom discipline (load-bearing v1.1 invariant)
|
||
|
||
The v1.1 audit grep that defines compliance:
|
||
|
||
```
|
||
grep -rE "SK\.seed|SK\.prf|sk_seed|sk_prf" ref/go/pkg/magnetar/thbsse_assemble.go
|
||
```
|
||
|
||
MUST return zero matches. Enforced by:
|
||
|
||
- `TestThbsSE_StrictAtom_NoTransientSeed` (AST walk + raw-byte grep).
|
||
- `scripts/checks/strict-atom-ast.sh` (shell gate replicating the
|
||
audit grep verbatim).
|
||
- `ct/dudect/strict_atom_combine_ct_test.go::
|
||
TestStrictAtom_CT_NoSecretDependentBranch` (AST walk asserting no
|
||
secret-tagged identifier feeds an if/switch condition or an index
|
||
expression).
|
||
|
||
See `ASSEMBLE-INVARIANT.md` for the load-bearing prose statement.
|
||
|
||
### Byte-identity to circl FIPS 205
|
||
|
||
The Magnetar-internal FIPS 205 sec 5--sec 8 walk is byte-equal to
|
||
`cloudflare/circl/sign/slhdsa.SignDeterministic` for the SHAKE
|
||
families. Pinned by `TestSlhdsaInternal_ByteEqualToCirclSign` per
|
||
mode (SHAKE-192s, SHAKE-192f, SHAKE-256s).
|
||
|
||
### Proof track restoration
|
||
|
||
The v0.x EasyCrypt scaffolding (modelled the abandoned v0.x
|
||
reveal-and-aggregate path; removed at v1.0) is replaced with v1.1
|
||
strict-atom theories:
|
||
|
||
- `proofs/easycrypt/Magnetar_N1_StrictAtom.ec` --- Class N1-analog
|
||
strict-atom byte-equality theorem.
|
||
- `proofs/easycrypt/Magnetar_N1_SHAKE_Expand.ec` --- FIPS 205 SHAKE
|
||
expansion lemmas.
|
||
- `proofs/easycrypt/Magnetar_N1_Atom_Refinement.ec` --- internal
|
||
refinement to circl.
|
||
- `proofs/easycrypt/Magnetar_N4_KeyDeriveStable.ec` --- pk stability
|
||
under Lagrange reconstruction.
|
||
- `proofs/easycrypt/lemmas/SLHDSA_Functional.ec` --- FIPS 205 SHAKE
|
||
primitive black-box specs.
|
||
- `proofs/easycrypt/lemmas/Magnetar_CT.ec` --- abstract-level CT
|
||
lemma.
|
||
- `proofs/lean/Crypto/Magnetar/StrictAtom.lean` --- Lean bridge
|
||
carrying the algebraic identities.
|
||
|
||
Axiom budget: 5 substantive + 1 abstract-vacuous CT admit. Per
|
||
`proofs/README.md`.
|
||
|
||
### dudect harness restoration
|
||
|
||
The v0.x dudect harness (modelled deleted seed-recombine surfaces;
|
||
removed at v1.0) is replaced with a v1.1 Go-side CT static check at
|
||
`ct/dudect/strict_atom_combine_ct_test.go`. Per-push smoke gate at
|
||
`scripts/checks/dudect-smoke.sh`.
|
||
|
||
### Benchmark (Apple M1 Max, single-goroutine, 5-of-7)
|
||
|
||
Strict-atom v1.1 ns/op vs v1.0-equivalent baseline (circl-dispatched
|
||
SignDeterministic on the Shamir-reconstructed seed):
|
||
|
||
| Mode | v1.0-equivalent | v1.1 strict-atom | Delta |
|
||
|---|---|---|---|
|
||
| Magnetar-SHAKE-192s | 2.93 s/op | 1.43 s/op | -51% |
|
||
| Magnetar-SHAKE-192f | 113 ms/op | 63 ms/op | -44% |
|
||
| Magnetar-SHAKE-256s | 2.22 s/op | 2.04 s/op | -8% |
|
||
|
||
The strict-atom path is FASTER because the Magnetar-internal SHAKE
|
||
walk avoids circl's per-call PrivateKey unmarshal + state struct
|
||
initialisation overhead.
|
||
|
||
### Honest residual gap
|
||
|
||
The bytes of the FIPS 205 master DO exist transiently inside the
|
||
SHAKE-expansion output buffer (`derivedMaterial`) and the
|
||
Lagrange-reconstruction input (`derivedExpandInput`) for the
|
||
duration of the SHAKE absorb. A coredump or /proc/self/mem dump at
|
||
exactly the right wall-clock instant would observe them. Closing
|
||
this gap requires either full MPC over the SHAKE-256 hash tree
|
||
(open research) or a TEE-attested host in the TCB
|
||
(`luxfi/threshold/protocols/slhdsa-tee`). The strict-atom discipline
|
||
is the strictest available without crossing into either regime;
|
||
see `ASSEMBLE-INVARIANT.md`.
|
||
|
||
## [1.0.0] --- 2026-05-31 --- ONE construction per regime; legacy seed-recombine paths killed
|
||
|
||
### Architectural decomplecting (HONEST framing)
|
||
|
||
This release closes Magnetar's permissionless-threshold story at
|
||
**ONE** construction --- **THBS-SE** (Threshold Hash-Based Signatures
|
||
with Selected-Element Reconstruction) --- and removes every legacy
|
||
seed-recombine path from the codebase. Magnetar v1.0 ships exactly
|
||
two primitives:
|
||
|
||
- **Per-validator standalone** (`ref/go/pkg/magnetar/standalone.go`,
|
||
unchanged from v0.5.x) --- the public-BFT primary primitive. Each
|
||
validator holds its own FIPS 205 keypair, signs independently,
|
||
consensus collects N signatures into a `ValidatorAggregateCert`.
|
||
- **THBS-SE** (`ref/go/pkg/magnetar/thbsse.go` +
|
||
`thbsse_field.go`) --- the permissionless threshold companion.
|
||
t-of-n committee, slot-bound commit-and-reveal, **public combiner
|
||
role** (anyone can run Combine), slashable equivocation +
|
||
malformed-share evidence.
|
||
|
||
Both emit byte-identical FIPS 205 signatures that unmodified
|
||
verifiers accept.
|
||
|
||
### Hard invariant (THBS-SE)
|
||
|
||
A revealed value is allowed ONLY if it is also present in the final
|
||
SLH-DSA signature.
|
||
|
||
- ALLOWED reveals: the per-round mask `r_i`, the masked share
|
||
`s'_i = share_i XOR r_i`, the public commit hash, the final FIPS
|
||
205 signature bytes.
|
||
- FORBIDDEN reveals: `SK.seed`, `SK.prf`, future-slot share
|
||
material. The slot guard refuses any same-slot re-emission and the
|
||
share envelope is per-slot.
|
||
|
||
### v1.0 honest open item
|
||
|
||
The strict invariant ("no party or combiner EVER reconstructs
|
||
SK.seed, even transiently in memory") requires the v1.1
|
||
strict-atom-assembly path tracked at
|
||
`BLOCKERS.md::MAGNETAR-STRICT-ATOM-V11`. v1.0 ships a PUBLIC
|
||
COMBINER (anyone-can-combine) that holds the seed for the duration
|
||
of one `slhdsa.SignDeterministic` call and then zeroizes. This is
|
||
materially stronger than a TEE-attested privileged-aggregator model
|
||
(no host in TCB; the combiner is a pure function any peer can run)
|
||
and materially weaker than the strict invariant (a peer-local
|
||
memory-disclosure adversary at exactly the combine moment could
|
||
observe the seed). The strict-atom path requires a Magnetar-internal
|
||
re-implementation of FIPS 205 sec 5/6/7/8 that bypasses
|
||
slh_sign_internal; cloudflare/circl's slhdsa does not expose those
|
||
internals.
|
||
|
||
### Added
|
||
|
||
- **`ref/go/pkg/magnetar/thbsse.go`** --- the THBS-SE construction:
|
||
- `NewThbsSeKey(params, threshold, committee, rng) -> (*ThbsSeKey, error)`
|
||
--- deterministic-dealer setup that produces (PK, [share_i],
|
||
setup_transcript). The dealer is in the TCB FOR SETUP ONLY;
|
||
once NewThbsSeKey returns no party including the dealer holds
|
||
the master seed. Production deployments run the leaderless
|
||
PVSS-DKG path via the sibling `luxfi/threshold` DKG package
|
||
and feed the result into the wire-equivalent share envelope.
|
||
- `ThbsSeRound1(params, share, binding, msg, guard, rng) -> (r1, r2, error)`
|
||
--- per-party Round-1 commit + Round-2 reveal pair. Idempotent
|
||
replay on the same `(slot, msg)`; emits
|
||
`*ThbsSeEquivocationError` with a wire-shaped `ThbsSeEvidence`
|
||
blob on a same-slot, distinct-message second attempt.
|
||
- `Combine(input ThbsSeCombineInput) -> (*Signature, []ThbsSeShareEvidence, error)`
|
||
--- the PUBLIC combiner. Pure function of its inputs. Any peer
|
||
with the public ThbsSeKey, the slot binding, the message, and
|
||
>= t valid Round-1/Round-2 pairs can produce the FIPS 205
|
||
signature. Emits typed `ThbsSeShareEvidence` for malformed
|
||
shares (slot-mismatch, wire-size, commit-mismatch).
|
||
- `ThbsSeSlotGuard` + `Record` / `Has` --- per-party persistent
|
||
slot-use guard. Local-state defense against equivocation.
|
||
- `VerifyThbsSeEvidence` / `VerifyThbsSeShareEvidence` --- pure
|
||
third-party evidence verifiers. No committee state required.
|
||
- Slot binding: every signature is bound to
|
||
`(chain_id, epoch, slot, height, committee_id, message_domain)`
|
||
via cSHAKE256 transcript + FIPS 205 ctx string.
|
||
- **`ref/go/pkg/magnetar/thbsse_field.go`** --- the GF(257)
|
||
byte-wise share arithmetic the THBS-SE construction consumes
|
||
internally. Unexported helpers: `thbsseDealRandom`,
|
||
`thbsseDealRandomGF`, `thbsseReconstructGF`, `thbsseShareToBytes`,
|
||
`thbsseShareFromBytes`. The only exported names are
|
||
`MaxCommittee257`, `EvalPointFromID`, and the THBS-SE error
|
||
values.
|
||
- **`ref/go/pkg/magnetar/thbsse_test.go`** --- the 8 mandated test
|
||
gates plus a determinism check and a binding-distinct-signature
|
||
check:
|
||
- `TestThbsSE_Wire_FIPS205Verifiable` (3 SHAKE modes)
|
||
- `TestThbsSE_RejectSeedReveal`
|
||
- `TestThbsSE_RejectUnselectedFORS`
|
||
- `TestThbsSE_RejectUnselectedWOTS`
|
||
- `TestThbsSE_SlotReuseRejected`
|
||
- `TestThbsSE_OverselectedCommittee` (n=7, t=3, 4 honest + 3
|
||
withholders)
|
||
- `TestThbsSE_SlotBindingDomainSeparation`
|
||
- `BenchmarkThbsSE_Sign_5of7` (3 SHAKE modes)
|
||
- bonus: `TestThbsSE_PublicCombiner_Determinism` (disjoint
|
||
t-subsets produce byte-equal signatures)
|
||
- **`vectors/thbsse-sign.json`** --- deterministic KAT vectors at
|
||
(n=7, t=4) x 3 SHAKE modes x 3 messages. Replayed by
|
||
`TestKAT_ThbsSe`.
|
||
|
||
### Removed
|
||
|
||
- `ref/go/pkg/magnetar/threshold.go` + `threshold_test.go` ---
|
||
legacy reveal-and-aggregate threshold sign path.
|
||
- `ref/go/pkg/magnetar/aggregate.go` + `aggregate_test.go` ---
|
||
legacy aggregate-sign (subsumed by `standalone.go`'s
|
||
`ValidatorAggregateCert`).
|
||
- `ref/go/pkg/magnetar/combine.go` --- legacy
|
||
`CombineWithSeedReconstruction` entry point.
|
||
- `ref/go/pkg/magnetar/shamir.go` + `shamir_test.go` --- legacy
|
||
byte-wise Shamir helpers; the THBS-SE-internal subset lives in
|
||
`thbsse_field.go`.
|
||
- `ref/go/pkg/magnetar/dkg.go` + `dkg_test.go` --- legacy DKG
|
||
primitives; the leaderless PVSS-DKG path now lives in the sibling
|
||
`luxfi/threshold` DKG package.
|
||
- `ref/go/pkg/magnetar/e2e_test.go`, `fuzz_test.go`,
|
||
`n1_byte_equality_test.go` --- legacy tests tied to the
|
||
deleted threshold path. Equivalent coverage lives in
|
||
`thbsse_test.go` + `kat_test.go::TestKAT_ThbsSe`.
|
||
- `ref/go/pkg/thbs/` (entire subtree) --- the legacy true-HBS
|
||
threshold path including the `dkg2/` PVSS skeleton.
|
||
- `vectors/threshold-sign.json` + `vectors/dkg.json` --- legacy
|
||
KATs.
|
||
- `jasmin/threshold/` + `jasmin/lib/` --- legacy Jasmin model of
|
||
the seed-recombine path. The v1.0 Jasmin scope (single-party
|
||
SLH-DSA via formosa-crypto libjade upstream when it lands) is
|
||
documented in `jasmin/README.md`.
|
||
- `proofs/easycrypt/` (entire tree) --- legacy EasyCrypt theories
|
||
modeling the deleted `combine.go` / `threshold.go`. The v1.0
|
||
proof track (`proofs/README.md`) ports to the THBS-SE
|
||
construction shape in v1.1.
|
||
- `ct/dudect/` (entire tree) --- legacy dudect harness over the
|
||
deleted `Combine` / `Verify` API surfaces. The v1.0 CT story is
|
||
"inherit CIRCL"; the v1.1 harness lands alongside the
|
||
strict-atom-assembly path.
|
||
|
||
### Verification
|
||
|
||
```bash
|
||
cd ref/go && GOWORK=off go build ./... && GOWORK=off go test -count=1 -short -timeout 600s ./pkg/magnetar/...
|
||
```
|
||
|
||
The 8 test gates pass at `-count=1 -short -race`. The
|
||
`BenchmarkThbsSE_Sign_5of7/Magnetar-SHAKE-192f` benchmark clocks at
|
||
< 100 ms/op on Apple M1 Max.
|
||
|
||
## [Unreleased]
|
||
|
||
(Nothing pending at this writing.)
|
||
|
||
## [0.5.0] — 2026-05-21 — Per-validator standalone is the primary public-BFT primitive; THBS demoted to TEE-only
|
||
|
||
### Architectural decomplecting (HONEST framing)
|
||
|
||
This release re-architects Magnetar for **public-BFT-safety**. The
|
||
previous v0.4.x messaging conflated two distinct trust models:
|
||
threshold-HBS (custody, requires dealer/aggregator-in-TCB) and
|
||
N-of-N collected signatures (public-BFT, no TCB). v0.5.0 ships the
|
||
canonical separation:
|
||
|
||
- **PRIMARY public-BFT primitive**: per-validator standalone
|
||
SLH-DSA via `magnetar.PerValidatorKeypair` +
|
||
`magnetar.ValidatorSign` + `magnetar.VerifyAggregateCert`
|
||
(`ref/go/pkg/magnetar/standalone.go`). Per-validator keypair, no
|
||
DKG, no dealer, no aggregator-in-TCB. The consensus layer
|
||
collects N validator signatures and counts valid signers; the
|
||
quorum policy decision lives at the consumer. Z-Chain Groth16
|
||
rollup compresses N × |σ| to ~192 bytes.
|
||
- **CUSTODY (TEE required)**: `magnetar.CombineWithSeedReconstruction`
|
||
(reveal-and-aggregate) OR `thbs.DealerDKG` + `thbs.SignShare` +
|
||
`thbs.Aggregate` (true threshold HBS). The dealer / aggregator
|
||
is in the TCB by policy — both REQUIRE TEE attestation.
|
||
- **RESEARCH (v0.6+)**: `thbs/dkg2/` skeleton ships the PVSS
|
||
layer; MPC-root layer is OPEN RESEARCH tracked at
|
||
`BLOCKERS.md::MAGNETAR-PUBLIC-DKG-1`.
|
||
|
||
The honest architectural truth: SLH-DSA is hash-based and has no
|
||
algebraic structure that admits FROST-style threshold aggregation
|
||
(Cozzo-Smart EUROCRYPT 2019; Bonte-Smart-Tan 2023; NIST IR 8214).
|
||
True-threshold SLH-DSA without TEE/dealer requires full MPC over
|
||
the SHA-256/SHAKE hash tree — research-grade. For Lux's PUBLIC-BFT
|
||
consensus, per-validator standalone is the right primitive; for
|
||
M-Chain custody (where a TEE-attested host can be in the TCB by
|
||
policy), the threshold form is correct.
|
||
|
||
### Added
|
||
|
||
- **`ref/go/pkg/magnetar/standalone.go`** — the public-BFT-safe
|
||
PRIMARY primitive surface:
|
||
- `PerValidatorKeypair(params, rng) → (sk, pk, error)` — standalone
|
||
FIPS 205 keypair generator. Semantic alias for
|
||
`GenerateValidatorKey`; explicit name for the public-BFT path.
|
||
- `ValidatorSign(sk, rng, message) → ([]byte, error)` — canonical
|
||
public-BFT signing primitive. Returns raw FIPS 205 signature
|
||
bytes. Deterministic when rng is nil (FIPS 205
|
||
SignDeterministic).
|
||
- `ValidatorBatchVerify(params, pubs, msgs, sigs) → ([]bool, error)`
|
||
— parallel-CPU batch verify returning per-signer bitmap.
|
||
Routes through the same goroutine fork-join pattern as
|
||
`luxfi/crypto/slhdsa.VerifyBatch`.
|
||
- `ValidatorAggregateCert{Mode, Signers, PubKeys, Sigs}` —
|
||
parallel-slices wire envelope for N per-validator signatures
|
||
over a single message. Sibling shape to `AggregatedSignature`
|
||
(aggregate.go) but maps directly to Z-Chain Groth16 rollup
|
||
witness layout.
|
||
- `BuildAggregateCert(params, signers, pubKeys, sigs)` —
|
||
constructor with shape + mode validation and defensive copies.
|
||
- `VerifyAggregateCert(cert, message, knownValidators) → (count, err)`
|
||
— verifies every signature against the registered public key
|
||
and returns the count of valid signers. Unknown / pubkey-
|
||
mismatched signers are counted as INVALID (not fatal — defense
|
||
against impersonation that does not abort the entire batch).
|
||
- **`ref/go/pkg/magnetar/standalone_test.go`** — 7 tests covering
|
||
round-trip + determinism + independence, parallel batch verify,
|
||
bad-sig-counted-out, unknown-validator rejection,
|
||
duplicate-validator dedupe-and-count-once, GPU/parallel
|
||
provenance assertion, all-invalid returns-zero, and shape checks.
|
||
- **`ref/go/pkg/thbs/dkg2/`** — research-grade SKELETON of a
|
||
public DKG for threshold HBS. v1 ships the PVSS layer; the
|
||
MPC-root layer is OPEN RESEARCH tracked at
|
||
`BLOCKERS.md::MAGNETAR-PUBLIC-DKG-1`. Files:
|
||
- `doc.go` — package doc, scope, literature (Schoenmakers PVSS,
|
||
Damgård-Pastro-Smart-Zakarias SPDZ, Boyle-Gilboa-Ishai FSS,
|
||
Wang-Ranellucci-Katz MPC).
|
||
- `pvss.go` — Deal / Verify wire shape with `ErrSkeletonOnly` /
|
||
`ErrMPCRootNotImpl` sentinels preventing production
|
||
consumption.
|
||
- `complaint.go` — Complaint round wire shape (BadShare,
|
||
MissingDelivery, CommitmentMalformed) + dealer Defense.
|
||
- `consensus.go` — qualified-set agreement + `Run` orchestrator +
|
||
`RootMPC` stub. Every public function returns
|
||
`ErrSkeletonOnly` or `ErrMPCRootNotImpl`.
|
||
- `README.md` — public-facing scope, literature, v0.6+ checklist.
|
||
- `dkg2_test.go` — sentinel-pinning tests.
|
||
- **`BLOCKERS.md::MAGNETAR-PUBLIC-DKG-1`** — open-research entry
|
||
for public DKG over HBS. PVSS skeleton shipped; MPC-root layer
|
||
open. 9-step v0.6+ checklist.
|
||
|
||
### Changed
|
||
|
||
- **`ref/go/pkg/thbs/thbs.go`** — package doc rewritten to honestly
|
||
demote the threshold form to "DEALER-BACKED v1 — NOT public-BFT-
|
||
safe". Directs callers to `magnetar.ValidatorSign` for public BFT
|
||
and to `thbs.DealerDKG` only for M-Chain custody where the
|
||
dealer is in the TCB by TEE attestation. Cites the
|
||
`BLOCKERS.md::MAGNETAR-PUBLIC-DKG-1` research path.
|
||
- **`ref/go/pkg/thbs/dealer.go`** — renamed `DKG` → `DealerDKG` and
|
||
`DKGAll` → `DealerDKGAll`. The function bodies are unchanged;
|
||
the rename honestly reflects that v1 has a dealer. Callers in
|
||
`thbs_test.go` updated. `DKGConfig` / `DKGOptions` retained
|
||
(config struct shape applies to both v1 dealer and a future v2
|
||
public DKG).
|
||
- **`DEPLOYMENT-RUNBOOK.md` §0** — rewritten to direct PUBLIC BFT
|
||
CONSENSUS users to `magnetar.ValidatorSign` +
|
||
`magnetar.VerifyAggregateCert` as the primary primitive; demotes
|
||
`CombineWithSeedReconstruction` and `thbs.DealerDKG` to the
|
||
M-Chain custody / TEE-attested path; cites `thbs/dkg2/` as the
|
||
v0.6+ research path. New §9 documents the
|
||
`ValidatorSign`/`VerifyAggregateCert` primary primitive in detail.
|
||
- **`BLOCKERS.md`** — header updated to v0.5.0 framing; new
|
||
`MAGNETAR-PUBLIC-DKG-1` research entry.
|
||
|
||
### Honest framing
|
||
|
||
- The threshold form of Magnetar (both `CombineWithSeedReconstruction`
|
||
and `thbs.DealerDKG`) is FUNDAMENTALLY not public-BFT-safe. This
|
||
is not a Magnetar choice; it is a property of hash-based
|
||
signatures. The literature is clear (Cozzo-Smart, Bonte-Smart-Tan,
|
||
NIST IR 8214). The honest fix is the architectural pivot in
|
||
v0.5.0: use the threshold form for custody (where TEE
|
||
attestation puts the dealer/aggregator in the TCB by policy) and
|
||
use per-validator standalone for public consensus.
|
||
- The Lux consensus stack ALREADY does the right thing for ML-DSA
|
||
via `QuasarCert.MLDSAProof` (per-validator standalone ML-DSA
|
||
signatures collected into a multi-signer cert). The
|
||
`ValidatorSign` + `VerifyAggregateCert` API makes the same
|
||
pattern explicit and canonical for SLH-DSA.
|
||
- The `thbs/dkg2/` skeleton is honestly research-grade. It exists
|
||
to make the v0.6+ research direction concrete without pretending
|
||
to ship a working public DKG. Every function returns a sentinel
|
||
error pointing at the BLOCKERS entry. A production caller
|
||
CANNOT accidentally consume the unfinished pipeline.
|
||
|
||
## [0.4.2] — 2026-05-21 — THBS v1 + Public-BFT-safe aggregate-signatures API
|
||
|
||
This release introduces TWO new signing modes:
|
||
1. **THBS v1** — true threshold hash-based signatures (McGrew et al.):
|
||
parties hold secret-shared FORS/WOTS+ elements; for each message they
|
||
release shares ONLY for the SELECTED elements; combiner reconstructs
|
||
the final signature; verifier sees an ordinary HBS-style signature.
|
||
No aggregator-as-TCB. Dealer-backed v1; public DKG = v2; FIPS 205
|
||
wire-compatibility = v3.
|
||
2. **Aggregate-signatures mode** — public-BFT-safe N-of-N collected
|
||
signatures (each validator holds its own keypair). This was the
|
||
originally-planned content of v0.4.2.
|
||
|
||
### Added
|
||
|
||
- **`pkg/thbs/`** — TRUE threshold hash-based signatures (McGrew,
|
||
Fluhrer, Gazdag, Kampanakis, Morton, Westerbaan, IACR ePrint
|
||
2019/793 / IRTF draft-mcgrew-hash-sigs). Subpackage layout:
|
||
- `thbs.go` — types per the user-spec API shape (`DKGConfig`,
|
||
`PublicKey`, `PrivateShare`, `PartialSignature`, `FinalSignature`,
|
||
`Evidence`, `EquivocationError`).
|
||
- `dealer.go` — v1 dealer-backed DKG. The dealer Shamir-shares each
|
||
secret WOTS+ chain head and each FORS secret leaf across the
|
||
committee via per-byte GF(257). Dealer seed is zeroised before
|
||
return. v2 will replace with public DKG.
|
||
- `wots.go` — WOTS+ primitive (Winternitz w=16, FIPS 205-style
|
||
base-w digit + checksum decomposition; hash chains under
|
||
cSHAKE-256 with domain-separated slot/chain/position binding).
|
||
- `fors.go` — FORS primitive (k subtrees, height a, per-leaf
|
||
binary Merkle paths).
|
||
- `tree.go` — top-level public Merkle tree over WOTS+ leaf-roots
|
||
(XMSS-style; v1 single tree, v3 will hypertree).
|
||
- `slot.go` — anti-equivocation slot guard. Each (party, slot)
|
||
used at most once; same-slot-different-digest emits Evidence.
|
||
- `sign.go` — `SignShare` + `Aggregate` + `Verify`. SignShare
|
||
releases shares for ONLY the selected elements (WOTSChains chain
|
||
heads + FORSK FORS leaves). Aggregate Lagrange-reconstructs the
|
||
selected elements (per-element, never a seed). Verify reproduces
|
||
the public Merkle root from the assembled HBS-style signature.
|
||
- `shamir.go` — per-byte Shamir over GF(257) tuned for THBS:
|
||
elements (not seeds) are shared, byte-equal reconstruction is
|
||
guaranteed because each byte is in [0, 256).
|
||
- `hash.go` — cSHAKE-256 with the "Magnetar-THBS" function name
|
||
and per-tag domain separation (chain, leaf, fors-node, share-MAC,
|
||
dealer-PRF, etc.).
|
||
- `thbs_test.go` — 24 unit tests pinning every invariant the spec
|
||
requires: TestTHBS_DKG_NoSeedExposure,
|
||
TestTHBS_WOTS_ReconstructsOnlySelectedChainValues,
|
||
TestTHBS_FORS_ReconstructsOnlySelectedLeaves,
|
||
TestTHBS_Aggregate_FinalSignatureVerifies,
|
||
TestTHBS_Aggregate_NoFutureSigningMaterial,
|
||
TestTHBS_AntiEquivocation_DetectsDoubleSign,
|
||
TestTHBS_Threshold_TminusOne_Fails,
|
||
TestTHBS_Threshold_T_Succeeds,
|
||
TestTHBS_DifferentQuorumsSameSignature,
|
||
TestTHBS_RejectsTamperedShare,
|
||
TestTHBS_RejectsCrossSlotShare,
|
||
TestTHBS_RejectsInconsistentDigest,
|
||
TestTHBS_RejectsWrongMessageVerify, plus 11 supporting tests.
|
||
- **`THBS-SPEC.md`** — honest v1 scope (dealer-backed, helper data,
|
||
custom HBS verifier), the v2 (public DKG) and v3 (FIPS 205
|
||
byte-compatibility) roadmaps, and the McGrew et al. citation.
|
||
- **`pkg/magnetar/aggregate.go`** — public-BFT-safe N-of-N
|
||
collected-signatures API. Each validator holds its OWN
|
||
SLH-DSA keypair (no DKG, no shared seed). Construction
|
||
primitives:
|
||
- `GenerateValidatorKey(params, rng) → (sk, pk)` — per-validator
|
||
standalone keypair.
|
||
- `SignBundle(params, sk, validatorID, msg) → *SignedBundle` —
|
||
single-validator sign producing a wire envelope.
|
||
- `VerifyBundle(params, bundle, msg) → bool` — single-validator
|
||
verify against the embedded public key.
|
||
- `AggregateSignatures(params, bundles, msg) → *AggregatedSignature` —
|
||
collects N bundles, dedupes by ValidatorID, shape-checks.
|
||
- `VerifyAggregated(params, agg, knownValidators) → (count, err)` —
|
||
per-bundle verify with parallel-CPU dispatch; returns the count
|
||
of valid signers (policy decision lives at the consumer).
|
||
- Parallel-CPU dispatch mirrors `luxfi/crypto/slhdsa.VerifyBatch`
|
||
goroutine fork-join pattern. `LastVerifyAggregatedTier()`
|
||
exposes the dispatch provenance for the BatchVerify test.
|
||
- **`pkg/magnetar/aggregate_test.go`** — 10 tests covering single-
|
||
validator round-trip, 5-of-5 aggregation, bad-signature-counted-
|
||
out (not fatal), unknown-validator rejection, duplicate-validator
|
||
dedupe, pubkey-mismatch rejection, BatchVerify provenance (asserts
|
||
parallel-CPU dispatch on a 5-bundle batch), empty-bundle / shape-
|
||
check fail-fast cases, and per-validator key independence.
|
||
|
||
### Changed
|
||
|
||
- **`pkg/magnetar/combine.go`** — `Combine` renamed to
|
||
`CombineWithSeedReconstruction` to make the TEE requirement
|
||
explicit in the API. Docstring updated to scream "REQUIRES TEE
|
||
for public deployment. NOT public-BFT-safe. For public BFT, use
|
||
AggregateSignatures." The function's existing implementation is
|
||
preserved byte-for-byte (used by M-Chain custody where TEE is in
|
||
the TCB; KAT byte-equality is preserved). File header cites
|
||
Cozzo-Smart 2019 / Bonte-Smart-Tan 2023 / FIPS 205 §6 as the
|
||
impossibility argument that motivates the rename.
|
||
- **All in-package call sites** — `e2e_test.go`, `threshold_test.go`,
|
||
`n1_byte_equality_test.go`, `fuzz_test.go`,
|
||
`ref/go/cmd/genkat/main.go`, `ct/dudect/combine_ct.go` — updated to
|
||
the new name. KAT vectors are byte-identical (the function body
|
||
did not change).
|
||
- **`pkg/magnetar/doc.go`** — package docstring rewritten to lead
|
||
with the two-mode chooser and explain the impossibility argument
|
||
for why `CombineWithSeedReconstruction` requires TEE.
|
||
- **`DEPLOYMENT-RUNBOOK.md`** — added §0 "Choose your mode"
|
||
decision tree and §10 "Public-BFT aggregate mode" documenting the
|
||
new API. §1 retitled to scope the v0.1 reveal-and-aggregate
|
||
caveat explicitly to `CombineWithSeedReconstruction`.
|
||
|
||
### Why this matters
|
||
|
||
SLH-DSA (FIPS 205) is hash-based — WOTS+, FORS, and Merkle
|
||
hypertrees over a secret seed. The literature (Cozzo-Smart 2019,
|
||
Bonte-Smart-Tan 2023, NIST IR 8214) establishes that there is no
|
||
efficient threshold MPC that produces a single FIPS 205-shaped
|
||
signature without reconstructing the master seed. The Magnetar v0.1
|
||
`CombineWithSeedReconstruction` path embraces this: byte-equality
|
||
with single-party FIPS 205 is the headline N1 claim, but the cost
|
||
is that the aggregator host is in the TCB for the brief
|
||
seed-reconstruction window.
|
||
|
||
For Lux's public-BFT validator quorum, that TCB requirement is too
|
||
strong — no individual validator host should be trusted with the
|
||
group seed. The `AggregateSignatures` path is the honest SOTA
|
||
answer: each validator signs independently, the consensus layer
|
||
collects N signatures, verification iterates per-signer. Wire size
|
||
grows linearly with N (compressible via a Z-Chain Groth16 rollup to
|
||
~192 bytes, a separate primitive). This release does not change the
|
||
custody story — M-Chain mpcvm in TEE-attested mode continues
|
||
to use `CombineWithSeedReconstruction`. It adds the public-BFT path
|
||
that was previously missing.
|
||
|
||
## [0.3.0] — 2026-05-18 — Tier A documentation shape complete
|
||
|
||
The full 12-document Tier A submission package shape now ships,
|
||
mirroring Pulsar's structure. Internal cryptographer sign-off
|
||
landed (APPROVED WITH GATES). Submission orchestration scripts
|
||
landed.
|
||
|
||
### Added
|
||
|
||
- **`SUBMISSION.md`** — NIST MPTC cover sheet. Headline N1 claim:
|
||
Magnetar threshold signatures are byte-identical to single-party
|
||
FIPS 205 `slhdsa.SignDeterministic` on the reconstructed master
|
||
seed. Honest delta vs Pulsar (no EC/Lean/Jasmin yet for the
|
||
threshold overlay).
|
||
- **`NIST-SUBMISSION.md`** — one-page executive summary mapped to
|
||
NIST IR 8214C requirements.
|
||
- **`PATENTS.md`** — royalty-free patent grant + defensive
|
||
termination. Defensive scope extends to FIPS 205, FIPS 204,
|
||
FIPS 203, successors. Claims limited to Magnetar-novel lifecycle
|
||
additions.
|
||
- **`PROOF-CLAIMS.md`** — narrow Class-N1 byte-equality claim;
|
||
§3 enumerates 7 explicit non-claims (mechanized refinement of
|
||
threshold overlay, post-quantum hardness beyond FIPS 205,
|
||
byte-equality with FIPS 204/R-LWE, dudect statistical CT,
|
||
covert channels, protocol-level adversarial robustness beyond
|
||
reveal-and-aggregate, external Lean theorems).
|
||
- **`AXIOM-INVENTORY.md`** — construction-level + implementation-level
|
||
axioms with closure plans for the proof-tier roadmap.
|
||
- **`FIPS-TRACEABILITY.md`** — FIPS 205 §10.1/10.2/10.3 → code map.
|
||
FIPS 202 + SP 800-185 cSHAKE256/KMAC256 customisation tags pinned
|
||
in `transcript.go`. Threshold overlay traces to `SPEC.md`
|
||
§3/§4/§6.
|
||
- **`TRUSTED-COMPUTING-BASE.md`** — implementation TCB inventory.
|
||
`cloudflare/circl/sign/slhdsa` at the single-party FIPS 205 layer.
|
||
Aggregator process in TCB for the brief seed-reconstruction
|
||
window (v0.1 reveal-and-aggregate caveat). Comparison vs Pulsar
|
||
and Corona.
|
||
- **`CRYPTOGRAPHER-SIGN-OFF.md`** — internal cryptographer agent
|
||
review. Conducted by direct reading of all 12 production Go
|
||
source files + test surface; verified build + vet + tests +
|
||
coverage (76.8%). Verdict: **APPROVED WITH GATES**. Five open
|
||
gates: GATE-1 (EC theory shells, v0.5.0), GATE-2 (Lean ↔ EC
|
||
bridge, v0.5.0), GATE-3 (dudect 10⁹ samples, v0.6.0), GATE-4
|
||
(external audit, v0.6.0), GATE-5 (v0.4 lifecycle additions).
|
||
- **`scripts/cut-submission.sh`** — 8-step tarball cut.
|
||
Verifies clean tree + branch=main, runs high-assurance gate,
|
||
regenerates KATs via `ref/go/cmd/genkat` and verifies
|
||
byte-identical with committed `vectors/*.json`, runs core tests,
|
||
tars (excluding `.git` / `.claude` / `bench/results`), SHA-256s,
|
||
tags. Idempotent (refuses tag/tarball re-cut unless `--force`).
|
||
Dry-run mode for review.
|
||
- **`scripts/check-high-assurance.sh`** — per-push gate. Runs `go
|
||
build` + `go vet` + secret-log grep + short test suite. HONEST
|
||
about absent gates (no EC/Lean/Jasmin theories for threshold
|
||
overlay; libjade covers FIPS 205 single-party but is not
|
||
redistributed). Honest scope documented in the script header.
|
||
|
||
### Changed
|
||
|
||
- **`README.md`** — flipped status to "Tier A documentation shape
|
||
complete". Updated "What v0.3.0 ships" / "does NOT yet ship"
|
||
to reflect the closed BLK-5/BLK-8 + the open gates per
|
||
`CRYPTOGRAPHER-SIGN-OFF.md`.
|
||
- **`SUBMISSION-STATUS.md`** — promoted to Tier A documentation
|
||
shape; Phase 4 (submission package) marked CLOSED for doc shape;
|
||
Phase 5 (cryptographer review) marked PARTIAL (internal v0.3.0,
|
||
external roadmap v0.6.0).
|
||
- **`BLOCKERS.md`** — closed BLK-8 (submission package documentation
|
||
shape) at v0.3.0; partially closed BLK-9 (internal review
|
||
landed; external roadmap v0.6.0). BLK-4 / BLK-6 / BLK-7 remain
|
||
open.
|
||
|
||
### Honesty notes
|
||
|
||
- The five open gates in `CRYPTOGRAPHER-SIGN-OFF.md` are
|
||
documentation + formal-methods + measurement + lifecycle
|
||
gates; none requires an algorithm or code change at v0.3.0.
|
||
- `PROOF-CLAIMS.md` §3 enumerates 7 explicit non-claims; this
|
||
is the honest disclosure that the submission package surfaces
|
||
to NIST reviewers.
|
||
- EC theory shells, Lean ↔ EC bridges, and Jasmin sources for
|
||
the threshold overlay are NOT in this submission. Pulsar at
|
||
v1.0.7 has 13/13 EC files compiling with admit 0/0; Magnetar's
|
||
comparable closure is roadmap v0.5.0 with cross-citation to
|
||
Pulsar's GF(257) Shamir / Lagrange bridges as the closure plan.
|
||
|
||
## [0.2.0] — 2026-05-18 — Tier B: production library + submission scaffold
|
||
|
||
First production-library release. Implements v0.1 reveal-and-aggregate
|
||
threshold SLH-DSA over FIPS 205 with KAT-deterministic vectors and
|
||
the honest trust-model disclosure.
|
||
|
||
### Added
|
||
|
||
- **`ref/go/pkg/magnetar/`** — production Go reference implementation
|
||
(~2186 LOC). Single-party + DKG + threshold-sign + Combine over
|
||
the SLH-DSA scheme seed. Three FIPS 205 parameter sets:
|
||
SHAKE-192s (recommended, NIST PQ Cat 3), SHAKE-192f (Cat 3 fast),
|
||
SHAKE-256s (Cat 5).
|
||
- **`ref/go/cmd/genkat`** — deterministic KAT generator. Produces
|
||
byte-stable JSON output at five profiles (keygen, sign, verify,
|
||
threshold-sign, dkg). Re-running on a clean checkout produces
|
||
byte-identical vectors.
|
||
- **`vectors/{keygen,sign,verify,threshold-sign,dkg}.json`** —
|
||
committed KAT vectors. KAT replay tests (`kat_test.go`) validate
|
||
the package implementation reproduces every entry verbatim.
|
||
- **`n1_byte_equality_test.go`** — empirical N1 byte-equality
|
||
harness. Threshold-Combine output byte-identical to centralized
|
||
FIPS 205 `slhdsa.SignDeterministic` on the reconstructed master
|
||
seed. Tested at (3,2), (5,3), (7,4) committee/threshold
|
||
configurations.
|
||
- **`SPEC.md`** — construction specification: notation, hash domain
|
||
separation, DKG protocol, threshold signing, Class-N1-analog
|
||
byte-equality claim, trust model, identifiable abort, parameter
|
||
sets.
|
||
- **`DEPLOYMENT-RUNBOOK.md`** — operator-facing trust-model
|
||
disclosure. v0.1 reveal-and-aggregate aggregator-as-TCB caveat
|
||
documented with TEE / mlock / ptrace-off hardening matrix.
|
||
- **`BLOCKERS.md`** — Tier B → A path enumeration (9 blockers,
|
||
3 closed at v0.2.0).
|
||
- **`SUBMISSION-STATUS.md`** — NIST MPTC submission status; phased
|
||
plan to submission-readiness.
|
||
- **`README.md`** — repo purpose + status (v0.2.0 = Tier B).
|
||
|
||
### Closed (Tier C → Tier B)
|
||
|
||
- **BLK-1**: construction selected (v0.1 reveal-and-aggregate over
|
||
the SLH-DSA scheme seed; mirrors Pulsar's v0.1 pattern).
|
||
- **BLK-2**: academic basis (Shamir 1979 + reveal-and-aggregate
|
||
industry pattern; open citation gap noted).
|
||
- **BLK-3**: spec defined (`SPEC.md`).
|
||
- **BLK-5**: KAT vectors shipped + deterministic regeneration.
|
||
|
||
### Honesty notes
|
||
|
||
- The v0.1 reveal-and-aggregate trust caveat: the aggregator
|
||
process holds the reconstructed master SLH-DSA scheme seed in
|
||
memory for the duration of one `Combine` call. Same trust model
|
||
as Pulsar v0.1; documented honestly in `DEPLOYMENT-RUNBOOK.md`
|
||
with the TEE / mlock / ptrace-off hardening matrix.
|
||
- v0.1 DKG envelopes are plaintext (KAT-deterministic). A passive
|
||
network observer can collect shares. v0.4 closes this channel
|
||
with ML-KEM-768 envelope wrapping (matching Pulsar CR-8).
|
||
|
||
## [0.1.0] — 2026-05-18 — Tier C: research-stage
|
||
|
||
Initial Magnetar research-stage commit.
|
||
|
||
### Added
|
||
|
||
- **`DESIGN.md`** — initial design notes for threshold SLH-DSA.
|
||
- **`README.md`** — research-stage status.
|
||
- **`LICENSE`** — BSD-3-Clause.
|
||
|
||
---
|
||
|
||
**Footer**
|
||
|
||
This CHANGELOG covers the Magnetar library + NIST MPTC submission
|
||
package. Sibling submissions:
|
||
|
||
- `luxfi/pulsar` — M-LWE threshold ML-DSA-65 (FIPS 204 byte-equal),
|
||
Tier A reference at v1.0.7.
|
||
- `luxfi/corona` — R-LWE threshold signature (Boschini ePrint
|
||
2024/1113), Tier A documentation shape at v0.6.0.
|