Pith Number

pith:ZRAJA2OL

pith:2025:ZRAJA2OL4XWRCYNQE5BBDUIK4F

not attested not anchored not stored refs pending

Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size

Antonio Orvieto, Aurelien Lucchi, Niccolo Ajroldi, Rustem Islamov

arxiv:2508.15071 v1 · 2025-08-20 · 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{ZRAJA2OL4XWRCYNQE5BBDUIK4F}

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	2026-07-05T11:57:06.042654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc409069cbe5ed1161b0274211d10ae148cafd996bde8ab1a0265f72d1b073e4

Aliases

arxiv: 2508.15071 · arxiv_version: 2508.15071v1 · doi: 10.48550/arxiv.2508.15071 · pith_short_12: ZRAJA2OL4XWR · pith_short_16: ZRAJA2OL4XWRCYNQ · pith_short_8: ZRAJA2OL

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/ZRAJA2OL4XWRCYNQE5BBDUIK4F \
  | 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: cc409069cbe5ed1161b0274211d10ae148cafd996bde8ab1a0265f72d1b073e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54d0edd34eafe2875019fc5c3002201f6b0309e4bd0593e6582eb5433581e69",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-20T21:14:17Z",
    "title_canon_sha256": "5893624e2587cafa8203dd2af4e8d90a20ac5ecc6affc3ca3175f01d6e911a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15071",
    "kind": "arxiv",
    "version": 1
  }
}