Pith Number

pith:UO6RGJ5A

pith:2026:UO6RGJ5AUQPPKXQUXJKIIIZ74M

not attested not anchored not stored refs pending

Smooth Scaling Laws Hide Stepwise Token Learning

Debing Zhang, Fu Guo, Peiru Yang, Pingjie Wang, Zechen Hu

arxiv:2606.29858 v1 · 2026-06-29 · 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{UO6RGJ5AUQPPKXQUXJKIIIZ74M}

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	2026-06-30T02:17:38.474691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bd1327a0a41ef55e14ba5484233fe32a58157e36e2bfefced25fc3d455a117

Aliases

arxiv: 2606.29858 · arxiv_version: 2606.29858v1 · doi: 10.48550/arxiv.2606.29858 · pith_short_12: UO6RGJ5AUQPP · pith_short_16: UO6RGJ5AUQPPKXQU · pith_short_8: UO6RGJ5A

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/UO6RGJ5AUQPPKXQUXJKIIIZ74M \
  | 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: a3bd1327a0a41ef55e14ba5484233fe32a58157e36e2bfefced25fc3d455a117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e8f8a86c1c2a7a85e343d4b6a931f2ae5304f34f77b89c993ce5c3874f3123",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-29T06:53:30Z",
    "title_canon_sha256": "81ff6938459006b3e0453db1db98ecb9622803959e240f5df87d2ffa67274c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29858",
    "kind": "arxiv",
    "version": 1
  }
}