Pith Number

pith:6IJ3EQSZ

pith:2023:6IJ3EQSZPDROL47QIMJOWUHXH3

not attested not anchored not stored refs pending

Gradient Descent with Polyak's Momentum Finds Flatter Minima via Large Catapults

Bohan Wang, Chulhee Yun, Huishuai Zhang, Junghyun Lee, Prin Phunyaphibarn

arxiv:2311.15051 v3 · 2023-11-25 · 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{6IJ3EQSZPDROL47QIMJOWUHXH3}

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	2026-07-05T08:24:23.151005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f213b2425978e2e5f3f04312eb50f73efbc9e34a7b78081121342104e136a158

Aliases

arxiv: 2311.15051 · arxiv_version: 2311.15051v3 · doi: 10.48550/arxiv.2311.15051 · pith_short_12: 6IJ3EQSZPDRO · pith_short_16: 6IJ3EQSZPDROL47Q · pith_short_8: 6IJ3EQSZ

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/6IJ3EQSZPDROL47QIMJOWUHXH3 \
  | 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: f213b2425978e2e5f3f04312eb50f73efbc9e34a7b78081121342104e136a158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b95eb1c503afd7052566c8f366ef722241781a7c3139b6edb9da0e9e2a58de9",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-25T15:10:00Z",
    "title_canon_sha256": "0bd018627a285d82c5ea37f6cce4827736a30ee919333c40202c1fbe24931736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15051",
    "kind": "arxiv",
    "version": 3
  }
}