Pith Number

pith:W7X3L4PS

pith:2022:W7X3L4PS442E2AZQWMHCAOPL45

not attested not anchored not stored refs pending

LUNA: Language Understanding with Number Augmentations on Transformers via Number Plugins and Pre-training

Dongmei Zhang, Hongwei Han, Jialiang Xu, Mengyu Zhou, Shi Han, Yijia Shao

arxiv:2212.02691 v2 · 2022-12-06 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7X3L4PS442E2AZQWMHCAOPL45}

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

1 paper in Pith

Efficient numeracy in language models through single-token number embeddings

Receipt and verification

First computed	2026-07-05T05:51:43.325837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7efb5f1f2e7344d0330b30e2039ebe76b39379f13c542e5a000d318bbcd63b2

Aliases

arxiv: 2212.02691 · arxiv_version: 2212.02691v2 · doi: 10.48550/arxiv.2212.02691 · pith_short_12: W7X3L4PS442E · pith_short_16: W7X3L4PS442E2AZQ · pith_short_8: W7X3L4PS

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/W7X3L4PS442E2AZQWMHCAOPL45 \
  | 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: b7efb5f1f2e7344d0330b30e2039ebe76b39379f13c542e5a000d318bbcd63b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8398c0add489968e3f6c1d3e9b660d1181c72ed9ca6967e9a0280a6ac734fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2022-12-06T01:31:37Z",
    "title_canon_sha256": "f97cdcc16a2cf145b4d2b5e6b0662dc10174da6389c4c4f8b2f54f9a2ffc4efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02691",
    "kind": "arxiv",
    "version": 2
  }
}