Pith Number

pith:A4KBJJQX

pith:2026:A4KBJJQXJON62FIKL5ESOAEJQQ

not attested not anchored not stored refs pending

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

Dohyeon Kim, Franca Hoffmann, Seung-Yeal Ha

arxiv:2605.20697 v1 · 2026-05-20 · math.PR · math.AP · 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{A4KBJJQXJON62FIKL5ESOAEJQQ}

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.

Receipt and verification

First computed	2026-05-21T01:04:49.674842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071414a6174b9bed150a5f49270089843c48d60c6144ecf19afac52992204e06

Aliases

arxiv: 2605.20697 · arxiv_version: 2605.20697v1 · doi: 10.48550/arxiv.2605.20697 · pith_short_12: A4KBJJQXJON6 · pith_short_16: A4KBJJQXJON62FIK · pith_short_8: A4KBJJQX

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/A4KBJJQXJON62FIKL5ESOAEJQQ \
  | 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: 071414a6174b9bed150a5f49270089843c48d60c6144ecf19afac52992204e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5937847825dc8a1c2cf5e292c3070ae0f84b984af9ee8184da45aa9a0a104b",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T04:50:40Z",
    "title_canon_sha256": "d7d4e59257c7fc78237c6df0e31c580af303b005bdf0491d0e3af4a3ca54fabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20697",
    "kind": "arxiv",
    "version": 1
  }
}