Pith Number

pith:IXE3WPGL

pith:2025:IXE3WPGLEN62LQCG64FB4HAMON

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Accurate Models of NVIDIA Tensor Cores

Faizan A. Khattak, Mantas Mikaitis

Software models emulate the inner-product behavior of NVIDIA Tensor Cores for 8-, 16-, and 19-bit formats across V100 to B200 GPUs.

arxiv:2512.07004 v4 · 2025-12-07 · cs.MS · cs.AR · cs.NA · math.NA

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Claims

C1strongest claim

We present software models for emulating the inner product behaviour of low- and mixed-precision matrix multipliers in the V100, A100, H100 and B200 data center GPUs in most supported input formats of interest to mixed-precision algorithm developers: 8-, 16-, and 19-bit floating point.

C2weakest assumption

The chosen test vectors are sufficient to distinguish the numerical features (rounding, accumulator width, normalization, carry bits) of each hardware generation and remain reliable when applied to new platforms.

C3one line summary

Software models accurately emulate NVIDIA Tensor Core inner-product behavior in low- and mixed-precision formats across V100, A100, H100, and B200 GPUs.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-06-12T01:10:19.787268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c9bb3ccb237da5c046f70a1e1c0c7346b970c4e6313be223cdd9033f737576

Aliases

arxiv: 2512.07004 · arxiv_version: 2512.07004v4 · doi: 10.48550/arxiv.2512.07004 · pith_short_12: IXE3WPGLEN62 · pith_short_16: IXE3WPGLEN62LQCG · pith_short_8: IXE3WPGL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IXE3WPGLEN62LQCG64FB4HAMON \
  | 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: 45c9bb3ccb237da5c046f70a1e1c0c7346b970c4e6313be223cdd9033f737576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e1ff4c1bce5e25781f67420edc6dbf6faf83eb46e0e4cfd0fb32fdcdbe9bbc",
    "cross_cats_sorted": [
      "cs.AR",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2025-12-07T21:13:18Z",
    "title_canon_sha256": "763583d8a8672cc94b3419c74c4108486c210a0403cc8e1663a704af35580479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07004",
    "kind": "arxiv",
    "version": 4
  }
}