Pith Number

pith:IIJYXM2I

pith:2024:IIJYXM2IBD6XRTZXEOGUKB2ZKO

not attested not anchored not stored refs pending

Unraveling Arithmetic in Large Language Models: The Role of Algebraic Structures

Fu-Chieh Chang, Pei-Yuan Wu, You-Chen Lin

arxiv:2411.16260 v3 · 2024-11-25 · cs.LG · 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{IIJYXM2IBD6XRTZXEOGUKB2ZKO}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:51:28.589190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42138bb34808fd78cf37238d45075953a91ed9930f6221305ce0f32f9c013b0f

Aliases

arxiv: 2411.16260 · arxiv_version: 2411.16260v3 · doi: 10.48550/arxiv.2411.16260 · pith_short_12: IIJYXM2IBD6X · pith_short_16: IIJYXM2IBD6XRTZX · pith_short_8: IIJYXM2I

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/IIJYXM2IBD6XRTZXEOGUKB2ZKO \
  | 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: 42138bb34808fd78cf37238d45075953a91ed9930f6221305ce0f32f9c013b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2203e10195c775ed08b8cd28759f9c64a9ed59a600a96083961eed7e1eac81",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-25T10:23:11Z",
    "title_canon_sha256": "5e89408d805c4dd73db4b9c1c63eaf6e27163623b98cb77dbeaf0274f2ab0572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16260",
    "kind": "arxiv",
    "version": 3
  }
}