Pith Number

pith:CRXAS6CX

pith:2024:CRXAS6CXITJJYCI73QKNVBVIVR

not attested not anchored not stored refs pending

On the $O(\frac{\sqrt{d}}{T^{1/4}})$ Convergence Rate of RMSProp and Its Momentum Extension Measured by $\ell_1$ Norm

Huan Li, Yiming Dong, Zhouchen Lin

arxiv:2402.00389 v5 · 2024-02-01 · math.OC · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRXAS6CXITJJYCI73QKNVBVIVR}

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

RMNP: Row-Momentum Normalized Preconditioning for Scalable Matrix-Based Optimization

Receipt and verification

First computed	2026-07-05T10:54:11.057758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146e09785744d29c091fdc14da86a8ac4d24cf5ecb0fe265d1cc1435820cec24

Aliases

arxiv: 2402.00389 · arxiv_version: 2402.00389v5 · doi: 10.48550/arxiv.2402.00389 · pith_short_12: CRXAS6CXITJJ · pith_short_16: CRXAS6CXITJJYCI7 · pith_short_8: CRXAS6CX

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/CRXAS6CXITJJYCI73QKNVBVIVR \
  | 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: 146e09785744d29c091fdc14da86a8ac4d24cf5ecb0fe265d1cc1435820cec24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2890904b9172f6a7dfb98d1a9f54e4650e62b00fd60e28fb7418082b2f91b717",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-02-01T07:21:32Z",
    "title_canon_sha256": "68fef912bdbd60b2886c8a8be660ef11ca83744d854c9d8a6e84a6acfe1ce5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00389",
    "kind": "arxiv",
    "version": 5
  }
}