Pith Number

pith:RKC6QSF3

pith:2025:RKC6QSF3G3YDHXMWCREYPGPODK

not attested not anchored not stored refs pending

Scaling Collapse Reveals Universal Dynamics in Compute-Optimally Trained Neural Networks

Andrew Gordon Wilson, Atish Agarwala, Jeffrey Pennington, Lechao Xiao, Shikai Qiu

arxiv:2507.02119 v2 · 2025-07-02 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKC6QSF3G3YDHXMWCREYPGPODK}

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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

Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model

Receipt and verification

First computed	2026-07-05T11:32:33.763650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a85e848bb36f033dd9614498799ee1aaaa3bd411653f2216b0b618befe64b29

Aliases

arxiv: 2507.02119 · arxiv_version: 2507.02119v2 · doi: 10.48550/arxiv.2507.02119 · pith_short_12: RKC6QSF3G3YD · pith_short_16: RKC6QSF3G3YDHXMW · pith_short_8: RKC6QSF3

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/RKC6QSF3G3YDHXMWCREYPGPODK \
  | 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: 8a85e848bb36f033dd9614498799ee1aaaa3bd411653f2216b0b618befe64b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed41e9876400418bc1ad921db6bb1d8ef63d7b044164e711270fdc83f016558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-02T20:03:34Z",
    "title_canon_sha256": "c52bfb5bcf85a01b7e614e01b64de1cf9fb8ae907c3f91d80af27507ccbbb5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02119",
    "kind": "arxiv",
    "version": 2
  }
}