Pith Number

pith:JRJGODKC

pith:2021:JRJGODKCCJFUUXCRGGK4QJJQI2

not attested not anchored not stored refs pending

Universal scaling laws in the gradient descent training of neural networks

Dmitry Yarotsky, Maksim Velikanov

arxiv:2105.00507 v1 · 2021-05-02 · cs.LG · cs.NE · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRJGODKCCJFUUXCRGGK4QJJQI2}

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	2026-07-05T02:36:55.122462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c52670d42124b4a5c513195c825304696a4b29b75c4010a356c2ef49a825835

Aliases

arxiv: 2105.00507 · arxiv_version: 2105.00507v1 · doi: 10.48550/arxiv.2105.00507 · pith_short_12: JRJGODKCCJFU · pith_short_16: JRJGODKCCJFUUXCR · pith_short_8: JRJGODKC

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/JRJGODKCCJFUUXCRGGK4QJJQI2 \
  | 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: 4c52670d42124b4a5c513195c825304696a4b29b75c4010a356c2ef49a825835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18bc6009d03842dc710261fb6bd5b6f0a52b76d405a0d948b013a4b624e0a7c",
    "cross_cats_sorted": [
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-02T16:46:38Z",
    "title_canon_sha256": "70e45f76e664d8877f3ff7df8846a96c08bb1a43645872d839bca1d74df9b70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.00507",
    "kind": "arxiv",
    "version": 1
  }
}