Pith Number

pith:PEQ7EHVB

pith:2021:PEQ7EHVB5W3ZDPDK3QHDTH6CXQ

not attested not anchored not stored refs pending

Second order McKean-Vlasov SDEs and kinetic Fokker-Planck-Kolmogorov equations

Xicheng Zhang

arxiv:2109.01273 v2 · 2021-09-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEQ7EHVB5W3ZDPDK3QHDTH6CXQ}

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

1 paper in Pith

McKean-Vlasov equations with singular coefficients - a review of recent results

Receipt and verification

First computed	2026-07-05T03:51:09.427962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7921f21ea1edb791bc6adc0e399fc2bc1cf6b376fefb094f9e4a4125b693078f

Aliases

arxiv: 2109.01273 · arxiv_version: 2109.01273v2 · doi: 10.48550/arxiv.2109.01273 · pith_short_12: PEQ7EHVB5W3Z · pith_short_16: PEQ7EHVB5W3ZDPDK · pith_short_8: PEQ7EHVB

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/PEQ7EHVB5W3ZDPDK3QHDTH6CXQ \
  | 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: 7921f21ea1edb791bc6adc0e399fc2bc1cf6b376fefb094f9e4a4125b693078f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d68dbf38ae628ac69478d799ce4d56d82b64bf3ecd9f5cd3670241f551ee78d5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-09-03T02:14:26Z",
    "title_canon_sha256": "c77449b680bbb2c91a3ae36ad7b67f4fa18decf28d3a71101eb0fe1693747fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01273",
    "kind": "arxiv",
    "version": 2
  }
}