Pith Number

pith:S24JTVYT

pith:2024:S24JTVYT4XVAF7UUPH3TXF2CMN

not attested not anchored not stored refs pending

Heavy-ball Differential Equation Achieves $O(\varepsilon^{-7/4})$ Convergence for Nonconvex Functions

Akiko Takeda, Kaito Okamura, Naoki Marumo

arxiv:2406.06100 v2 · 2024-06-10 · 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{S24JTVYT4XVAF7UUPH3TXF2CMN}

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

A Restart-Free Accelerated Algorithm for Non-Convex Minimization: Continuous and Discrete Analysis

Receipt and verification

First computed	2026-07-05T10:56:33.408783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b899d713e5ea02fe9479f73b97426351fad539b0ee6c80e01127192499e852

Aliases

arxiv: 2406.06100 · arxiv_version: 2406.06100v2 · doi: 10.48550/arxiv.2406.06100 · pith_short_12: S24JTVYT4XVA · pith_short_16: S24JTVYT4XVAF7UU · pith_short_8: S24JTVYT

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/S24JTVYT4XVAF7UUPH3TXF2CMN \
  | 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: 96b899d713e5ea02fe9479f73b97426351fad539b0ee6c80e01127192499e852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741fdee1a78adeeece8df235d001f5c9471b95a0ac53ce43f2f1e95176932563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-10T08:34:59Z",
    "title_canon_sha256": "76f2e0421237fbe1a236c94c2febc5759eb8187696693ee779494c48a93fccd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06100",
    "kind": "arxiv",
    "version": 2
  }
}