Pith Number

pith:B26NHBQ4

pith:2014:B26NHBQ4AU22TGS4A7E55X6F7Z

not attested not anchored not stored refs pending

Training deep neural networks with low precision multiplications

Jean-Pierre David, Matthieu Courbariaux, Yoshua Bengio

arxiv:1412.7024 v5 · 2014-12-22 · cs.LG · cs.CV · cs.NE

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B26NHBQ4AU22TGS4A7E55X6F7Z}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

5 papers in Pith

Template-Based Posit Multiplication for Training and Inferring in Neural Networks

Computing k-means in mixed precision

Llamas on the Web: Memory-Efficient, Performance-Portable, and Multi-Precision LLM Inference with WebGPU

LLM.int8(): 8-bit Matrix Multiplication for Transformers at Scale

MobileNets: Efficient Convolutional Neural Networks for Mobile Vision Applications

Receipt and verification

First computed	2026-05-18T01:32:18.826194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebcd3861c0535a99a5c07c9dedfc5fe60192e2fd4a84ee6569e3b7d49d4c637

Aliases

arxiv: 1412.7024 · arxiv_version: 1412.7024v5 · doi: 10.48550/arxiv.1412.7024 · pith_short_12: B26NHBQ4AU22 · pith_short_16: B26NHBQ4AU22TGS4 · pith_short_8: B26NHBQ4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B26NHBQ4AU22TGS4A7E55X6F7Z \
  | 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: 0ebcd3861c0535a99a5c07c9dedfc5fe60192e2fd4a84ee6569e3b7d49d4c637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985abeae64dad80f835a0bc4098672dd34907c43dbe4bd535d7fab5ffdcb2d4a",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2014-12-22T15:22:45Z",
    "title_canon_sha256": "daf9b2ef3c266d97574571c2d4b2035f0e258b9f1c6149adbaf4a450140935f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7024",
    "kind": "arxiv",
    "version": 5
  }
}