Pith Number

pith:LH64GGGI

pith:2024:LH64GGGIP7TKWELJMXSYLZROUM

not attested not anchored not stored refs pending

Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Aaditya K. Singh, DJ Strouse

arxiv:2402.14903 v1 · 2024-02-22 · cs.CL · cs.LG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH64GGGIP7TKWELJMXSYLZROUM}

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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

10 papers in Pith

Inside the LLM Word Factory

The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models

Efficient numeracy in language models through single-token number embeddings

FLEXITOKENS: Flexible Tokenization for Evolving Language Models

Receipt and verification

First computed	2026-07-05T07:48:19.483493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fdc318c87fe6ab116965e585e62ea335fe5d2f7156377361474127b70a3de9

Aliases

arxiv: 2402.14903 · arxiv_version: 2402.14903v1 · doi: 10.48550/arxiv.2402.14903 · pith_short_12: LH64GGGIP7TK · pith_short_16: LH64GGGIP7TKWELJ · pith_short_8: LH64GGGI

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/LH64GGGIP7TKWELJMXSYLZROUM \
  | 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: 59fdc318c87fe6ab116965e585e62ea335fe5d2f7156377361474127b70a3de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df7622c5038b1384babc42d49197c4b71135b6799d042b616369b5e7ee1cfcb",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-02-22T18:14:09Z",
    "title_canon_sha256": "a8cf24128907922ef8a835d242ff32d27c57b01ec8f8a8d6c0902eae6b20df72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14903",
    "kind": "arxiv",
    "version": 1
  }
}