Pith Number

pith:644ZUBDV

pith:2025:644ZUBDV7PIDX7RHQ4GWBVW6GO

not attested not anchored not stored refs pending

Improved Analysis for Sign-based Methods with Momentum Updates

Dingzhi Yu, Lijun Zhang, Sifan Yang, Wei Jiang, Wenhao Yang

arxiv:2507.12091 v1 · 2025-07-16 · math.OC · 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{644ZUBDV7PIDX7RHQ4GWBVW6GO}

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

3 papers in Pith

Open Problem: Is AdamW Effective Under Heavy-Tailed Noise?

When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\ell_1$-norm Lower Bounds

StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Models

Receipt and verification

First computed	2026-07-05T11:38:14.289655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7399a0475fbd03bfe27870d60d6de33aca6482985a0ad5dbc232237820c6e4d

Aliases

arxiv: 2507.12091 · arxiv_version: 2507.12091v1 · doi: 10.48550/arxiv.2507.12091 · pith_short_12: 644ZUBDV7PID · pith_short_16: 644ZUBDV7PIDX7RH · pith_short_8: 644ZUBDV

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/644ZUBDV7PIDX7RHQ4GWBVW6GO \
  | 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: f7399a0475fbd03bfe27870d60d6de33aca6482985a0ad5dbc232237820c6e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac1b6a69f2a970cecff2ac53fb07ed36028c7220df8a8bd47ff3f9c30d921a7",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-16T09:54:08Z",
    "title_canon_sha256": "3ddf90b02a5b0c7a56b0b219a519b2e98882356ad3adf214ed82b0383366acc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12091",
    "kind": "arxiv",
    "version": 1
  }
}