Pith Number

pith:CHDVJQH3

pith:2015:CHDVJQH3PDXFHJRVDPDTMKC3CB

not attested not anchored not stored refs pending

Deep Learning with Limited Numerical Precision

Ankur Agrawal, Kailash Gopalakrishnan, Pritish Narayanan, Suyog Gupta

arxiv:1502.02551 v1 · 2015-02-09 · cs.LG · cs.NE · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHDVJQH3PDXFHJRVDPDTMKC3CB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

4 papers in Pith

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

Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics

The Thermodynamic Costs of Simple Linear Regression

Google's Neural Machine Translation System: Bridging the Gap between Human and Machine Translation

Receipt and verification

First computed	2026-05-18T02:27:31.374232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c754c0fb78ee53a6351bc736285b105b29106953ff55ac9e4cc9d17218bbca

Aliases

arxiv: 1502.02551 · arxiv_version: 1502.02551v1 · doi: 10.48550/arxiv.1502.02551 · pith_short_12: CHDVJQH3PDXF · pith_short_16: CHDVJQH3PDXFHJRV · pith_short_8: CHDVJQH3

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/CHDVJQH3PDXFHJRVDPDTMKC3CB \
  | 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: 11c754c0fb78ee53a6351bc736285b105b29106953ff55ac9e4cc9d17218bbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a073e1445e89f4505c365b87d2651668481db73750509c0b842fba478ad796",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-02-09T16:37:29Z",
    "title_canon_sha256": "7c974654b02a7e8905bad6baed56b5283b00d7b5da77267b7c2703e8fb309c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02551",
    "kind": "arxiv",
    "version": 1
  }
}