Pith Number

pith:N5F57DHM

pith:2025:N5F57DHM2NMYI7UUUIVPDV24EQ

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Ten-Four: An Open-Source Fused Dot Product Unit for Mixed-Precision GPGPU Tensor Cores

Blaise Tine, Nikhil Rout

Ten-Four fuses floating-point and integer pipelines into one dot-product unit that runs mixed-precision matrix operations in four cycles.

arxiv:2512.00053 v3 · 2025-11-19 · cs.AR

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3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Ten-Four achieves 4-cycle operation latency at 262.325 MHz Fmax, delivering 134.308 GFLOPS peak throughput per Tensor Core on the AMD Xilinx Alveo U55C FPGA, demonstrating ~3.1x performance improvement over an equivalent Berkeley HardFloat-based implementation at less than 60% the area cost.

C2weakest assumption

That the fused pipeline preserves exact numerical equivalence to discrete units across all supported formats (FP16/BF16/FP8/BF8/INT8/INT4) without hidden rounding differences that only appear under specific input patterns or when integrated into the full Vortex Tensor Core.

C3one line summary

Ten-Four delivers a fused mixed-precision dot-product unit for open-source GPGPUs that runs in 4 cycles at 262 MHz, matches NVIDIA numerical accuracy, and uses less than 60% the area of a prior open implementation while delivering 3.1x higher throughput.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-12T01:09:17.297750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4bdf8cecd359847e94a22af1d75c241c251723eb7bc646fb2d84ea3a4daf76

Aliases

arxiv: 2512.00053 · arxiv_version: 2512.00053v3 · doi: 10.48550/arxiv.2512.00053 · pith_short_12: N5F57DHM2NMY · pith_short_16: N5F57DHM2NMYI7UU · pith_short_8: N5F57DHM

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N5F57DHM2NMYI7UUUIVPDV24EQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6f4bdf8cecd359847e94a22af1d75c241c251723eb7bc646fb2d84ea3a4daf76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "894fbefdede516dc5790e0d6455a94ec946cb2cfcd4166046a9fc71ab9f75cd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AR",
    "submitted_at": "2025-11-19T15:57:09Z",
    "title_canon_sha256": "9a16540b679ce3b1d3f9b511bcb58992b05470451552dbf60d8f66c60b597aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.00053",
    "kind": "arxiv",
    "version": 3
  }
}