Pith Number

pith:5JXVKTNI

pith:2024:5JXVKTNI3OY2ZFQAKKACMY5FQJ

not attested not anchored not stored refs pending

Modeling AdaGrad, RMSProp, and Adam with Integro-Differential Equations

Carlos Heredia

arxiv:2411.09734 v3 · 2024-11-14 · cs.LG · cs.NA · math.NA · 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{5JXVKTNI3OY2ZFQAKKACMY5FQJ}

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

2 papers in Pith

Global Stability and Step Size Robustness of RMSProp

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate

Receipt and verification

First computed	2026-06-08T01:04:59.712597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6f554da8dbb1ac960052802663a582740a6cef0d3f8ce5aea7b44fd2ed488e

Aliases

arxiv: 2411.09734 · arxiv_version: 2411.09734v3 · doi: 10.48550/arxiv.2411.09734 · pith_short_12: 5JXVKTNI3OY2 · pith_short_16: 5JXVKTNI3OY2ZFQA · pith_short_8: 5JXVKTNI

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/5JXVKTNI3OY2ZFQAKKACMY5FQJ \
  | 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: ea6f554da8dbb1ac960052802663a582740a6cef0d3f8ce5aea7b44fd2ed488e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030592642d96987cde841eab55b128f2c353ecc0982fb7c7fee4acf958b5b661",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-14T19:00:01Z",
    "title_canon_sha256": "8e25616d0db8337c78ff7a68cd3fd837ee9f81d2802951de87db0bf4a4a200af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09734",
    "kind": "arxiv",
    "version": 3
  }
}