Pith Number

pith:W423MVNG

pith:2024:W423MVNGTH3NB447XYPHTDBTJS

not attested not anchored not stored refs pending

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms

Bin Shi, Mingwei Fu

arxiv:2412.13527 v3 · 2024-12-18 · math.OC · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W423MVNGTH3NB447XYPHTDBTJS}

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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

Modern Theory of Gradient-Based Optimization

Receipt and verification

First computed	2026-07-05T11:48:47.004101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b735b655a699f6d0f39fbe1e798c334c9eeb6c85d2c8b2c6b5b2c1429a2a6c21

Aliases

arxiv: 2412.13527 · arxiv_version: 2412.13527v3 · doi: 10.48550/arxiv.2412.13527 · pith_short_12: W423MVNGTH3N · pith_short_16: W423MVNGTH3NB447 · pith_short_8: W423MVNG

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/W423MVNGTH3NB447XYPHTDBTJS \
  | 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: b735b655a699f6d0f39fbe1e798c334c9eeb6c85d2c8b2c6b5b2c1429a2a6c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a36818eccaf49d3f1ffc1d6dcdfc9d09e84d313ad50dbfc6022e51ab1b85862",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-18T06:09:00Z",
    "title_canon_sha256": "cad1a0a987f0f692442ff1250dd397eb78445a07d810d00e5fc1c03fac442d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13527",
    "kind": "arxiv",
    "version": 3
  }
}