Pith Number

pith:W5B4B4TE

pith:2026:W5B4B4TEPSC2WLXRKBKTJUFNTB

not attested not anchored not stored refs pending

On the Superlinear Relationship between SGD Noise Covariance and Loss Landscape Curvature

Ning Yang, Yikuan Zhang, Yuhai Tu

arxiv:2602.05600 v2 · 2026-02-05 · 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{W5B4B4TEPSC2WLXRKBKTJUFNTB}

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

Worker Disagreement Reveals Sharp Directions in Local SGD

Receipt and verification

First computed	2026-06-09T01:05:13.932009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b743c0f2647c85ab2ef1505534d0ad9865203cb2deab6de640be116667d6d1b0

Aliases

arxiv: 2602.05600 · arxiv_version: 2602.05600v2 · doi: 10.48550/arxiv.2602.05600 · pith_short_12: W5B4B4TEPSC2 · pith_short_16: W5B4B4TEPSC2WLXR · pith_short_8: W5B4B4TE

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/W5B4B4TEPSC2WLXRKBKTJUFNTB \
  | 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: b743c0f2647c85ab2ef1505534d0ad9865203cb2deab6de640be116667d6d1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7230c8318ade56baea0ac0775a75596254273cca980d5b69a291fcf4cc0326c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-05T12:35:13Z",
    "title_canon_sha256": "e53ab1b4121358011d9ecfa0671cf002cb747ebf095350de27218238d3da40f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05600",
    "kind": "arxiv",
    "version": 2
  }
}