Pith Number

pith:JMN72B75

pith:2025:JMN72B75ZSM2HPWASO6CGKD7MR

not attested not anchored not stored refs pending

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Lukang Sun, Massimo Fornasier

arxiv:2502.01434 v2 · 2025-02-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMN72B75ZSM2HPWASO6CGKD7MR}

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

Convergence of Consensus-Based Particle Methods for Nonconvex Bi-Level Optimization

Receipt and verification

First computed	2026-07-05T11:10:51.182213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1bfd07fdcc99a3bec093bc23287f64673016e250c57361a6022820ec57c366

Aliases

arxiv: 2502.01434 · arxiv_version: 2502.01434v2 · doi: 10.48550/arxiv.2502.01434 · pith_short_12: JMN72B75ZSM2 · pith_short_16: JMN72B75ZSM2HPWA · pith_short_8: JMN72B75

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/JMN72B75ZSM2HPWASO6CGKD7MR \
  | 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: 4b1bfd07fdcc99a3bec093bc23287f64673016e250c57361a6022820ec57c366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7cd003033d054847f555aae5803230d2fb114b6c97ff7e6acb4bd4e09d94e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-03T15:17:41Z",
    "title_canon_sha256": "37120efd5f318c1725e35a1b4e0d3bc35be2a388b69d67d9fddde8c614eecfdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01434",
    "kind": "arxiv",
    "version": 2
  }
}