Pith Number

pith:2LKG2GC6

pith:2021:2LKG2GC6RRBIGB4I24POAHZGE7

not attested not anchored not stored refs pending

Unified Convergence Analysis for Adaptive Optimization with Moving Average Estimator

Rong Jin, Tianbao Yang, Wotao Yin, Yi Xu, Zhishuai Guo

arxiv:2104.14840 v7 · 2021-04-30 · 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{2LKG2GC6RRBIGB4I24POAHZGE7}

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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

A Memory Efficient Randomized Subspace Optimization Method for Training Large Language Models

Receipt and verification

First computed	2026-07-05T10:44:34.895115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d46d185e8c42830788d71ee01f2627dd41981a1711da34066f7a3f926b1b3b

Aliases

arxiv: 2104.14840 · arxiv_version: 2104.14840v7 · doi: 10.48550/arxiv.2104.14840 · pith_short_12: 2LKG2GC6RRBI · pith_short_16: 2LKG2GC6RRBIGB4I · pith_short_8: 2LKG2GC6

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/2LKG2GC6RRBIGB4I24POAHZGE7 \
  | 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: d2d46d185e8c42830788d71ee01f2627dd41981a1711da34066f7a3f926b1b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918199f21f9ae3e9efc00d32c458dc9c4956a44ee4ad47b0678e8c67ed64854d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-04-30T08:50:24Z",
    "title_canon_sha256": "1d270b07188ea2902ceafc4fb91386f065dbacefe1a1cec78e7be8f5586738d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14840",
    "kind": "arxiv",
    "version": 7
  }
}