Pith Number

pith:KZGJ3DEU

pith:2024:KZGJ3DEUN4CQZBKSJC4WMNNXNE

not attested not anchored not stored refs pending

Uniform-in-time mean-field limit estimate for the Consensus-Based Optimization

Hicham Kouhkouh, Hui Huang

arxiv:2411.03986 v2 · 2024-11-06 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZGJ3DEUN4CQZBKSJC4WMNNXNE}

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

Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization

Receipt and verification

First computed	2026-07-05T11:29:03.426401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564c9d8c946f050c855248b96635b76923bb052ea980837ffcab683e9c21933c

Aliases

arxiv: 2411.03986 · arxiv_version: 2411.03986v2 · doi: 10.48550/arxiv.2411.03986 · pith_short_12: KZGJ3DEUN4CQ · pith_short_16: KZGJ3DEUN4CQZBKS · pith_short_8: KZGJ3DEU

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/KZGJ3DEUN4CQZBKSJC4WMNNXNE \
  | 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: 564c9d8c946f050c855248b96635b76923bb052ea980837ffcab683e9c21933c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39cc225c570a63e72af8dac73cd83f5e47c795abf7a312a4331e057321a3ef92",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-06T15:25:42Z",
    "title_canon_sha256": "da41cbddc1710988e7c279358f721d72cd9de59633e06a00908d45af2de27f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.03986",
    "kind": "arxiv",
    "version": 2
  }
}