Pith Number

pith:MLR3WG3C

pith:2025:MLR3WG3CRXFOQPP3TKLWAI5SEK

not attested not anchored not stored refs pending

Ergodicity of conditional McKean-Vlasov jump diffusions

Jianhai Bao, Jian Wang, Yao Liu

arxiv:2509.02249 v1 · 2025-09-02 · 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{MLR3WG3CRXFOQPP3TKLWAI5SEK}

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	2026-07-05T12:03:34.760733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e3bb1b628dcae83dfb9a976023b22298cd3773c9f8b429f3ea4d610a55fe1a

Aliases

arxiv: 2509.02249 · arxiv_version: 2509.02249v1 · doi: 10.48550/arxiv.2509.02249 · pith_short_12: MLR3WG3CRXFO · pith_short_16: MLR3WG3CRXFOQPP3 · pith_short_8: MLR3WG3C

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/MLR3WG3CRXFOQPP3TKLWAI5SEK \
  | 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: 62e3bb1b628dcae83dfb9a976023b22298cd3773c9f8b429f3ea4d610a55fe1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fc93a241685fff03a290e8b23e2ffa061ebf593bb88f7eb07ebf3a6d345f86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T12:20:05Z",
    "title_canon_sha256": "2a4c1ced70a2a84663137b278f3a8414c770c10b6fafe69b2459e1352d531f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02249",
    "kind": "arxiv",
    "version": 1
  }
}