Pith Number

pith:4SFYHEXJ

pith:2025:4SFYHEXJLYFWKOOFQZCCACK5B4

not attested not anchored not stored refs pending

An alternative approach to well-posedness of McKean-Vlasov equations arising in Consensus-Based Optimization

Alessandro Baldi

arxiv:2512.19446 v4 · 2025-12-22 · math.OC · math.AP · 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{4SFYHEXJLYFWKOOFQZCCACK5B4}

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	2026-06-19T16:12:49.924119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48b8392e95e0b6539c5864420095d0f15ecd10b3d3cca68be809d8c8f8f366a

Aliases

arxiv: 2512.19446 · arxiv_version: 2512.19446v4 · doi: 10.48550/arxiv.2512.19446 · pith_short_12: 4SFYHEXJLYFW · pith_short_16: 4SFYHEXJLYFWKOOF · pith_short_8: 4SFYHEXJ

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/4SFYHEXJLYFWKOOFQZCCACK5B4 \
  | 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: e48b8392e95e0b6539c5864420095d0f15ecd10b3d3cca68be809d8c8f8f366a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2d6bdb26375a4b62321daec597128c073955352d1bf63bf86cac4fac591626",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-22T14:45:29Z",
    "title_canon_sha256": "0eb49310bf8a951dd6e7532ee05d7e28d24604a4c026f353af30190cfa650cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19446",
    "kind": "arxiv",
    "version": 4
  }
}