Pith Number

pith:UUEV6EMH

pith:2023:UUEV6EMHVXGL4DTHEREDF2VPMI

not attested not anchored not stored refs pending

Ultra-low Precision Multiplication-free Training for Deep Neural Networks

Chang Liu, Ling Li, Qi Guo, Rui Zhang, Xing Hu, Xishan Zhang, Yifan Hao, Zidong Du

arxiv:2302.14458 v1 · 2023-02-28 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUEV6EMHVXGL4DTHEREDF2VPMI}

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.

Receipt and verification

First computed	2026-07-05T05:46:45.579002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5095f1187adccbe0e67244832eaaf623a93824d3989e985f6f461e5c8f324e3

Aliases

arxiv: 2302.14458 · arxiv_version: 2302.14458v1 · doi: 10.48550/arxiv.2302.14458 · pith_short_12: UUEV6EMHVXGL · pith_short_16: UUEV6EMHVXGL4DTH · pith_short_8: UUEV6EMH

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/UUEV6EMHVXGL4DTHEREDF2VPMI \
  | 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: a5095f1187adccbe0e67244832eaaf623a93824d3989e985f6f461e5c8f324e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b63e07e91a3e9a8cc26a8e02793d660dd323ec82a626b3e95ee2ab231af08d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-02-28T10:05:45Z",
    "title_canon_sha256": "6a0b18baa497fb3b8dad947607291ecad1a75a2837c60bc29dd81683512bf7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.14458",
    "kind": "arxiv",
    "version": 1
  }
}