Pith Number

pith:GE4IHBCZ

pith:2023:GE4IHBCZIVJFCPIUPSJHS3YO6P

not attested not anchored not stored refs pending

Positional Description Matters for Transformers Arithmetic

Ronen Eldan, Ruoqi Shen, S\'ebastien Bubeck, Yin Tat Lee, Yi Zhang, Yuanzhi Li

arxiv:2311.14737 v1 · 2023-11-22 · cs.CL · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE4IHBCZIVJFCPIUPSJHS3YO6P}

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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

3 papers in Pith

FoNE: Precise Single-Token Number Embeddings via Fourier Features

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior

To See the Unseen: on the Generalization Ability of Transformers in Symbolic Reasoning

Receipt and verification

First computed	2026-07-05T07:16:51.756714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31388384594552513d147c92796f0ef3feb0bb46f28ddec3d1e5b773014341b6

Aliases

arxiv: 2311.14737 · arxiv_version: 2311.14737v1 · doi: 10.48550/arxiv.2311.14737 · pith_short_12: GE4IHBCZIVJF · pith_short_16: GE4IHBCZIVJFCPIU · pith_short_8: GE4IHBCZ

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/GE4IHBCZIVJFCPIUPSJHS3YO6P \
  | 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: 31388384594552513d147c92796f0ef3feb0bb46f28ddec3d1e5b773014341b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e10ca17b67aa4c869bcde6bb25f336422a8d2cea567c8de2e6f3fd4c2a30be",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2023-11-22T00:31:01Z",
    "title_canon_sha256": "3bf9f725f9c6e96bafee63994c13f6696578ce6dc39cf81d21be52d7a10ddfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.14737",
    "kind": "arxiv",
    "version": 1
  }
}