Pith Number

pith:XMQ7MM6C

pith:2022:XMQ7MM6CCORJCA2L2IA2NGXPK2

not attested not anchored not stored refs pending

Stochastic Gradient Descent and Anomaly of Variance-flatness Relation in Artificial Neural Networks

Chunxiao Shi, Ping Ao, Xia Xiong, Yong-Cong Chen

arxiv:2207.04932 v2 · 2022-07-11 · nlin.AO · 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{XMQ7MM6CCORJCA2L2IA2NGXPK2}

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	2026-07-05T06:41:02.531856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb21f633c213a291034bd201a69aef569204f0d05851071e0a9c9deed20d31a1

Aliases

arxiv: 2207.04932 · arxiv_version: 2207.04932v2 · doi: 10.48550/arxiv.2207.04932 · pith_short_12: XMQ7MM6CCORJ · pith_short_16: XMQ7MM6CCORJCA2L · pith_short_8: XMQ7MM6C

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/XMQ7MM6CCORJCA2L2IA2NGXPK2 \
  | 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: bb21f633c213a291034bd201a69aef569204f0d05851071e0a9c9deed20d31a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6772f9eb01571692225dae43f0964d9142fc75db4f94eb91dd766989035fb8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2022-07-11T15:13:23Z",
    "title_canon_sha256": "14298afe2914906dc91e915905fc8b3a205065a69ce1dd473bdbd2cc33d02b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.04932",
    "kind": "arxiv",
    "version": 2
  }
}