Pith Number

pith:WGSDSQMP

pith:2026:WGSDSQMPPQ75ZO3IRKLOMC33FA

not attested not anchored not stored refs pending

Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficients

Jeff Gore, Yizhou Liu

arxiv:2606.25008 v1 · 2026-06-23 · 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{WGSDSQMPPQ75ZO3IRKLOMC33FA}

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	2026-06-25T00:17:48.150858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a439418f7c3fdcbb688a96e60b7b282ccb0b2df20ba3e56eb244950c88b92f

Aliases

arxiv: 2606.25008 · arxiv_version: 2606.25008v1 · doi: 10.48550/arxiv.2606.25008 · pith_short_12: WGSDSQMPPQ75 · pith_short_16: WGSDSQMPPQ75ZO3I · pith_short_8: WGSDSQMP

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/WGSDSQMPPQ75ZO3IRKLOMC33FA \
  | 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: b1a439418f7c3fdcbb688a96e60b7b282ccb0b2df20ba3e56eb244950c88b92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0bf80ba3a31d8d012a2fff02f438577fc2358a2baea82f264d4a6016f6ec4b",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-23T17:46:30Z",
    "title_canon_sha256": "6eb799933cbbec5ef62ac0a1938372d2e48b3c1e642d616f8606bfcff61ebe7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25008",
    "kind": "arxiv",
    "version": 1
  }
}