Pith Number

pith:DP2S74W6

pith:2021:DP2S74W6NS3JBGYDLY7NGPFJDR

not attested not anchored not stored refs pending

Power-law escape rate of SGD

Kangqiao Liu, Liu Ziyin, Masahito Ueda, Takashi Mori

arxiv:2105.09557 v2 · 2021-05-20 · cs.LG · cond-mat.dis-nn · cond-mat.stat-mech · 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{DP2S74W6NS3JBGYDLY7NGPFJDR}

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.

Cited by

1 paper in Pith

Negligible in Size, Significant in Effect: On Scale Vectors in Large Language Models

Receipt and verification

First computed	2026-07-05T03:52:28.387147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf52ff2de6cb6909b035e3ed33ca91c5976d374d57c021abdbc2464bda72601

Aliases

arxiv: 2105.09557 · arxiv_version: 2105.09557v2 · doi: 10.48550/arxiv.2105.09557 · pith_short_12: DP2S74W6NS3J · pith_short_16: DP2S74W6NS3JBGYD · pith_short_8: DP2S74W6

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/DP2S74W6NS3JBGYDLY7NGPFJDR \
  | 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: 1bf52ff2de6cb6909b035e3ed33ca91c5976d374d57c021abdbc2464bda72601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e0c6eb2645b3dbb37b64fd6a22ec814cbddef9d9ba2bf6e86a31f34cf95387",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-20T07:25:07Z",
    "title_canon_sha256": "f7a46b62c97595ed2e7cebbd990d7b873606e10bdcc884af71b2d5cf55fff3dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09557",
    "kind": "arxiv",
    "version": 2
  }
}