Pith Number

pith:AWUPF4WN

pith:2025:AWUPF4WNUQZONENWCI6EW6TH2X

not attested not anchored not stored refs pending

The LDP of McKean-Vlasov stochastic differential equations with H\"{o}lder continuous conditions and integrable conditions

Chenggui Yuan, Hao Wu, Junhao Hu

arxiv:2507.07368 v2 · 2025-07-10 · 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{AWUPF4WNUQZONENWCI6EW6TH2X}

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	2026-07-05T11:40:35.413661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a8f2f2cda432e691b6123c4b7a67d5c662beb2847b524ed4dc3e36d6342a45

Aliases

arxiv: 2507.07368 · arxiv_version: 2507.07368v2 · doi: 10.48550/arxiv.2507.07368 · pith_short_12: AWUPF4WNUQZO · pith_short_16: AWUPF4WNUQZONENW · pith_short_8: AWUPF4WN

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/AWUPF4WNUQZONENWCI6EW6TH2X \
  | 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: 05a8f2f2cda432e691b6123c4b7a67d5c662beb2847b524ed4dc3e36d6342a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2933b442de94886e7c2d9b818c330d5fc5724425aed65ba663004497ee36b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-10T01:22:39Z",
    "title_canon_sha256": "6e1a95aae3b923e74257d7bdb39f8b66921d9b724e5ab72b4d775cd5ec5cfe02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07368",
    "kind": "arxiv",
    "version": 2
  }
}