Pith Number

pith:MWLEWNCC

pith:2016:MWLEWNCCSZ7ADAGMSLBSEPMFKP

not attested not anchored not stored refs pending

A Lyapunov Analysis of Momentum Methods in Optimization

Ashia C. Wilson, Benjamin Recht, Michael I. Jordan

arxiv:1611.02635 v4 · 2016-11-08 · math.OC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWLEWNCCSZ7ADAGMSLBSEPMFKP}

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

Adaptive Federated Optimization

Finite-Time Optimization via Scaled Gradient-Momentum Flows

Receipt and verification

First computed	2026-05-18T00:21:35.462918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65964b3442967e0180cc92c3223d8553dbf5c53f816c5fb94185e725bf240e00

Aliases

arxiv: 1611.02635 · arxiv_version: 1611.02635v4 · doi: 10.48550/arxiv.1611.02635 · pith_short_12: MWLEWNCCSZ7A · pith_short_16: MWLEWNCCSZ7ADAGM · pith_short_8: MWLEWNCC

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/MWLEWNCCSZ7ADAGMSLBSEPMFKP \
  | 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: 65964b3442967e0180cc92c3223d8553dbf5c53f816c5fb94185e725bf240e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b3da394d069b4faaf88ce89f153614e19445ecb2d6a2571071340cb465815c",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-08T17:55:21Z",
    "title_canon_sha256": "5522471c9f6c436c78478c3b7a5bc1a04760eb78170896f2a165443bff01f2cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02635",
    "kind": "arxiv",
    "version": 4
  }
}