Pith Number

pith:X4S72YTF

pith:2022:X4S72YTF4H554NJU6EFXI33H42

not attested not anchored not stored refs pending

The alignment property of SGD noise and how it helps select flat minima: A stability analysis

Lei Wu, Mingze Wang, Weijie Su

arxiv:2207.02628 v3 · 2022-07-06 · stat.ML · 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{X4S72YTF4H554NJU6EFXI33H42}

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	2026-07-05T05:07:01.158561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf25fd6265e1fbde3534f10b746f67e6a5931cf9c7a38a2212edff88893520fb

Aliases

arxiv: 2207.02628 · arxiv_version: 2207.02628v3 · doi: 10.48550/arxiv.2207.02628 · pith_short_12: X4S72YTF4H55 · pith_short_16: X4S72YTF4H554NJU · pith_short_8: X4S72YTF

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/X4S72YTF4H554NJU6EFXI33H42 \
  | 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: bf25fd6265e1fbde3534f10b746f67e6a5931cf9c7a38a2212edff88893520fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9529360d83a23cef5779b6333f56c4a4e20025f72ea6acafe2444eaab805eceb",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-07-06T12:40:09Z",
    "title_canon_sha256": "04502ac0737f596ba689649595fe7a3b73d0b4da9140a7a8b4db708ab7b13b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02628",
    "kind": "arxiv",
    "version": 3
  }
}