Pith Number

pith:33G4CZ4K

pith:2025:33G4CZ4KAJ4NMAPBXGIUMJ5DC2

not attested not anchored not stored refs pending

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian

Bruno F. Louren\c{c}o, Minh N. Dao, Naoki Marumo, Radu I. Bo\c{t}, Tianxiang Liu

arxiv:2504.17193 v2 · 2025-04-24 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33G4CZ4KAJ4NMAPBXGIUMJ5DC2}

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

Receipt and verification

First computed	2026-07-05T10:57:36.932971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

decdc1678a0278d601e1b9914627a31680ed883cb91160e569e6e585d3476156

Aliases

arxiv: 2504.17193 · arxiv_version: 2504.17193v2 · doi: 10.48550/arxiv.2504.17193 · pith_short_12: 33G4CZ4KAJ4N · pith_short_16: 33G4CZ4KAJ4NMAPB · pith_short_8: 33G4CZ4K

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/33G4CZ4KAJ4NMAPBXGIUMJ5DC2 \
  | 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: decdc1678a0278d601e1b9914627a31680ed883cb91160e569e6e585d3476156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e11e543b16200c6e8683b6f6e1658c45191ef7c6a45febafb0a49f3b72c15af",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-24T01:59:40Z",
    "title_canon_sha256": "41f520ee6c6afd45edf529c0bd11d98e9e80ec7af9269415eab3cdcf4d77d4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17193",
    "kind": "arxiv",
    "version": 2
  }
}