Pith Number

pith:DKB7QKJR

pith:2022:DKB7QKJR744JCJL2UBOTK3F6ZB

not attested not anchored not stored refs pending

Beyond the Edge of Stability via Two-step Gradient Updates

Joan Bruna, Lei Chen

arxiv:2206.04172 v3 · 2022-06-08 · cs.LG · 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{DKB7QKJR744JCJL2UBOTK3F6ZB}

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

SGD at the Edge of Stability: The Stochastic Sharpness Gap

Receipt and verification

First computed	2026-07-05T06:34:45.058580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a83f82931ff3891257aa05d356cbec84c51aa593e588684ad57f0541af6a752

Aliases

arxiv: 2206.04172 · arxiv_version: 2206.04172v3 · doi: 10.48550/arxiv.2206.04172 · pith_short_12: DKB7QKJR744J · pith_short_16: DKB7QKJR744JCJL2 · pith_short_8: DKB7QKJR

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/DKB7QKJR744JCJL2UBOTK3F6ZB \
  | 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: 1a83f82931ff3891257aa05d356cbec84c51aa593e588684ad57f0541af6a752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37bf311553f28bb25e15e9714c4515df4bc30d579b8b385aead6b018d5cddf71",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-08T21:32:50Z",
    "title_canon_sha256": "b2d297842a737cd33fae9b05b79f9e3f3b9c5a9216c351b2daa75f6e2b32c54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04172",
    "kind": "arxiv",
    "version": 3
  }
}