Pith Number

pith:ZY2LLMB4

pith:2024:ZY2LLMB4HWCDKI6BNOQVJMPZVH

not attested not anchored not stored refs pending

Transformers Can Do Arithmetic with the Right Embeddings

Abhinav Bhatele, Alex Stein, Arpit Bansal, Avi Schwarzschild, Bhavya Kailkhura, Brian R. Bartoldson, John Kirchenbauer, Jonas Geiping, Neel Jain, Sean McLeish, Tom Goldstein

arxiv:2405.17399 v2 · 2024-05-27 · 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{ZY2LLMB4HWCDKI6BNOQVJMPZVH}

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

2 papers in Pith

FoNE: Precise Single-Token Number Embeddings via Fourier Features

Training Transformers as a Universal Computer

Receipt and verification

First computed	2026-07-05T09:53:01.479445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce34b5b03c3d843523c16ba154b1f9a9f6ba217595a33853b177beb9c10b44f5

Aliases

arxiv: 2405.17399 · arxiv_version: 2405.17399v2 · doi: 10.48550/arxiv.2405.17399 · pith_short_12: ZY2LLMB4HWCD · pith_short_16: ZY2LLMB4HWCDKI6B · pith_short_8: ZY2LLMB4

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/ZY2LLMB4HWCDKI6BNOQVJMPZVH \
  | 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: ce34b5b03c3d843523c16ba154b1f9a9f6ba217595a33853b177beb9c10b44f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8fe4e2ba2e198d8abe106f9878b71ca850bc84e10f5ea575581ddd990167544",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-27T17:49:18Z",
    "title_canon_sha256": "5edfd780da47450228690d9015c23073d80b00b26e7f6a1bd5f08f0614ec284b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17399",
    "kind": "arxiv",
    "version": 2
  }
}