GPU result — the §13.1 digest reproduced on an NVIDIA GPU
Status: PASS. Run of 2026-09-08 12:07 UTC, NVIDIA Tesla P100-PCIE-16GB (sm_60, Pascal), CUDA 12.8.
An independent CUDA implementation of docs/CIS2_SPEC_v0.3b.md reproduces the
primary normative CIS2_REF digest of this repository, bit-for-bit, on a
GPU — the same value scripts/self_check.sh checks verify3/ against on a
CPU.
CIS2_REF, SmolLM2-135M, "Once upon a time", gen_toks=16, spec v0.3b
CPU reference (Rust, x86_64 and aarch64) d82743059d1db929e710236fe4ec37f89e6f932524801345a006980f7c3cc9df
CPU host build (g++, x86_64) d82743059d1db929e710236fe4ec37f89e6f932524801345a006980f7c3cc9df
GPU (nvcc, Tesla P100, sm_60) d82743059d1db929e710236fe4ec37f89e6f932524801345a006980f7c3cc9df
All four vectors
| mode | gen_toks |
CIS2_REF |
CPU | GPU |
|---|---|---|---|---|
| sequential (v0.3b normative) | 16 | d82743059d1db929e710236fe4ec37f89e6f932524801345a006980f7c3cc9df |
PASS | PASS |
| sequential (v0.3b normative) | 128 | 22f69ad87a615d66a77efaca8b1172d22bdfb4bd5092ceffd302e35669a050f6 |
PASS | PASS |
| pinned tree (v0.4 candidate, not normative) | 16 | 3f3b1ffceca02e8e0e78d5c653963480ea988ef41a378acc5393006ad378e1b3 |
PASS | PASS |
| pinned tree (v0.4 candidate, not normative) | 128 | 112661fbfcb11440ae7d27c43e45135f8a6ff9f6bc01189d756c76dac96a0fdf |
PASS | PASS |
The 16-token sequential digest is the §13.1 normative vector recorded in
EXPECTED_DIGESTS.md. The other three are informative: the 128-token
sequential digest extends the same prompt to a longer horizon, and the two
tree-mode digests belong to a candidate reduction order that is not part of
v0.3b and may or may not become v0.4.
The expected values and the CPU reference traces were generated on x86-64 (g++ and clang++) and frozen on 2026-09-03, five days before the GPU run.
Identity is byte-level, not only digest-level
The per-step trace — every intermediate the spec pins, not just the final witness — is the same file on CPU and GPU:
sha256(GPU 16-tok trace) = 9a559a9e284c5e5b2a78b29c0dbab0e2bb2ce0c2e48069dd6bac20331cad46b6
sha256(CPU 16-tok trace) = 9a559a9e284c5e5b2a78b29c0dbab0e2bb2ce0c2e48069dd6bac20331cad46b6
sha256(GPU tree trace) = 40c931cd080da04f8e926f84e7f6f5605eada74cd8f858baa4be0d6ae955f0bf
sha256(CPU tree trace) = 40c931cd080da04f8e926f84e7f6f5605eada74cd8f858baa4be0d6ae955f0bf
The two modes hash differently from each other, which is the control that the comparison discriminates.
How device execution was established
A GPU claim is only as good as the evidence that the code ran on the GPU. Two independent checks, both machine-recorded:
cuobjdump --dump-sasson the shipped binaries (not on a probe built for the occasion) finds 13 kernel instantiations covering the whole forward pass — embed, RMSNorm, matvec, RoPE, scores, softmax, weighted sum, KV store, SiLU-multiply, add, add-bias. There is no host fallback path in the nvcc build.nvidia-smisampled once per second during the 128-token runs: mean GPU utilization 58.2 % (max 87 %) sequential and 61.6 % (max 89 %) tree, across 10 and 11 samples.
This is occupancy evidence for where the code ran. It is not a performance measurement, and no timing number is claimed here or anywhere in this repository.
The FMA gate, on the real binaries
The spec forbids FMA contraction in the pinned reductions. Compiled with
-fmad=false -ftz=true -prec-div=true -prec-sqrt=true, the shipped binaries
contain 63 FFMA instructions each, and none of them are in a reduction:
| kernel | FFMA | MUFU |
|---|---|---|
| matvec, scores, attention weighted-sum | 0 | — |
| embed, add, add-bias, KV store | 0 | — |
| RMSNorm (2 of 3 instantiations) | 0 | — |
| SiLU-multiply | 12 | 3 |
| softmax | 32 | 7 |
| RoPE | 1 | 3 |
| RMSNorm (1 instantiation) | 18 | 8 |
Every kernel that contains FFMA also contains MUFU — the reciprocal and
reciprocal-square-root seed instructions whose Newton–Raphson refinement steps
-prec-div=true -prec-sqrt=true emit for / and sqrt. Those refinements are
correctly rounded by construction; the bit-identical digest and the
byte-identical trace are the empirical evidence that they are, in this build,
on this device.
Scope — what this does and does not show
Shows. A specification written and audited for CPU fp32 — pinned reduction order, no FMA contraction, no flush-to-zero, correctly rounded division and square root, pinned transcendental polynomials, pinned RoPE tables — is sufficient for an implementation on a fundamentally different execution model to reproduce the CPU receipt bit-for-bit.
Does not show. Anything about performance; the run was correctness-only. Anything about Ampere, Hopper or Blackwell; this is one Pascal device. Anything about tensor-core paths; this port uses none. Anything about batched, multi-stream, or multi-GPU execution. Anything about any model other than SmolLM2-135M, or any horizon beyond 128 tokens.
One GPU generation, one driver and compiler version, one model, one prompt.
Prior art, and the wording of the claim
Reproducible and deterministic GPU inference is prior-occupied ground. Gensyn's
repops demonstrates a hash-matched CPU↔CUDA fp32 forward pass; Microsoft's
RepDL provides reproducible linear-algebra operators with CPU and CUDA
backends; vLLM and SGLang both ship batch-invariant determinism modes. This
repository makes no "first" and no "only" claim about deterministic GPU
inference, and none should be inferred from this document.
The narrower claim being made is about the specification: the artifact a third party implements against here is a written document, and that document turned out to carry enough information to cross an ISA boundary, a compiler boundary, a language boundary, and now a CPU/GPU boundary without any of the implementations consulting each other.
Availability of the GPU implementation
The CUDA port is not included in this repository and is not published.
What is published is what a third party needs to check the claim: the
specification, the CPU reference, two clean-room CPU implementations, and the
digests above. Anyone can write their own CUDA implementation from
docs/CIS2_SPEC_v0.3b.md and compare against d82743059d1db929…; that is the
intended way to falsify or confirm this result, and a matching independent GPU
implementation is exactly the contribution described in
"How to submit your own clean-room implementation" in the README.
Run provenance
- Kaggle kernel
aefinityaiinc/e18b-gpu, GPU enabled, internet disabled, finished 2026-09-08 12:07:11 UTC; container image pinned by digestsha256:37c64f7dd9c54116ecd1bcc88817c5469b88387388fade02bfa8bf3fc647d461. - Machine-readable verdicts (
nofma_cuda_pass,sequential_pass,tree_candidate_pass, all four digest comparisons, bothnvidia-smisummaries) were emitted by the run itself, not transcribed by hand. - Earlier attempts v6 and v7 were false positives and are withdrawn: the
link step was missing
-x cu, so the "GPU" binary was compiled as host C++ and executed on the CPU. v8 adds-x cu, gates the real binaries rather than a standalone probe, and adds the utilization sampling. Do not cite v6 or v7. - The earlier v5 run (2026-09-06, same device) reached the same four digests but established device execution from source structure alone; its adversarial review recorded that gap, and v8 closes it.