Pith Number

pith:4CAXCU4P

pith:2026:4CAXCU4P33Z57XGO2DRY2XKPYN

not attested not anchored not stored refs pending

Scaling limit of the Random Language Model

Eric De Giuli

arxiv:2606.28105 v1 · 2026-06-26 · cond-mat.dis-nn · cond-mat.stat-mech · 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{4CAXCU4P33Z57XGO2DRY2XKPYN}

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.

Receipt and verification

First computed	2026-06-29T01:15:06.226753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08171538fdef3dfdcced0e38d5d4fc34062d87b4e69edb47e1c398296a8f763

Aliases

arxiv: 2606.28105 · arxiv_version: 2606.28105v1 · doi: 10.48550/arxiv.2606.28105 · pith_short_12: 4CAXCU4P33Z5 · pith_short_16: 4CAXCU4P33Z57XGO · pith_short_8: 4CAXCU4P

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/4CAXCU4P33Z57XGO2DRY2XKPYN \
  | 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: e08171538fdef3dfdcced0e38d5d4fc34062d87b4e69edb47e1c398296a8f763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709d0523655363e655a9a08db8626e54fbcdb1ea3d6e06cc87d819bc904de729",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-26T14:00:30Z",
    "title_canon_sha256": "0986c7b1eb1f8863991c37dead554553c83303523bf934d935570d985c43289f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28105",
    "kind": "arxiv",
    "version": 1
  }
}