Pith Number

pith:SKVDAGUG

pith:2025:SKVDAGUGUEIV2NJLY7ZJIPIJ6X

not attested not anchored not stored refs pending

Modular Arithmetic: Language Models Solve Math Digit by Digit

Daniil Gurgurov, Josef van Genabith, Simon Ostermann, Tanja Baeumel, Yusser Al Ghussin

arxiv:2508.02513 v1 · 2025-08-04 · cs.CL · cs.AI

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKVDAGUGUEIV2NJLY7ZJIPIJ6X}

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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

Automated Attention Pattern Discovery at Scale in Large Language Models

Receipt and verification

First computed	2026-07-05T11:48:15.381879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92aa301a86a1115d352bc7f2943d09f5d5c3d9fb47d9d8246ab88ad7c93a7a36

Aliases

arxiv: 2508.02513 · arxiv_version: 2508.02513v1 · doi: 10.48550/arxiv.2508.02513 · pith_short_12: SKVDAGUGUEIV · pith_short_16: SKVDAGUGUEIV2NJL · pith_short_8: SKVDAGUG

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/SKVDAGUGUEIV2NJLY7ZJIPIJ6X \
  | 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: 92aa301a86a1115d352bc7f2943d09f5d5c3d9fb47d9d8246ab88ad7c93a7a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049a489e994a4d5b4045c1aff2c100970c2b9699aee1e08a3144f24d7f43ab2a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-08-04T15:18:41Z",
    "title_canon_sha256": "1995bcbcfc9c7c8f325be50cb7a1b93ed51bca211719850348a9dc35bfea74db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02513",
    "kind": "arxiv",
    "version": 1
  }
}