Pith Number

pith:4AOV4WAL

pith:2025:4AOV4WALC7Z7CQWUR5CNOBTEMK

not attested not anchored not stored refs pending

HNAG$^{++}$: An Accelerated Gradient Method with a Refined Asymptotic Rate for Strongly Convex Optimization

Long Chen, Zeyi Xu

arxiv:2510.16680 v2 · 2025-10-19 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AOV4WALC7Z7CQWUR5CNOBTEMK}

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

SHANG++: Robust Stochastic Acceleration under Multiplicative Noise

Receipt and verification

First computed	2026-05-29T02:05:37.207146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01d5e580b17f3f142d48f44d7066462a865e18a844ceb510569bc55d640d997

Aliases

arxiv: 2510.16680 · arxiv_version: 2510.16680v2 · doi: 10.48550/arxiv.2510.16680 · pith_short_12: 4AOV4WALC7Z7 · pith_short_16: 4AOV4WALC7Z7CQWU · pith_short_8: 4AOV4WAL

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/4AOV4WALC7Z7CQWUR5CNOBTEMK \
  | 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: e01d5e580b17f3f142d48f44d7066462a865e18a844ceb510569bc55d640d997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61b96e3b1e0c51d951c1a73d7d8bf1fcb05d06bd38619b30786ff489d2b87f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-10-19T01:21:01Z",
    "title_canon_sha256": "15231179ce772c7abbd41e696ec687800c39552d4437715800f075e5c5102bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16680",
    "kind": "arxiv",
    "version": 2
  }
}