Pith Number

pith:SGE4OHXR

pith:2018:SGE4OHXRJBOUWSH2JYLZC4VBPA

not attested not anchored not stored refs pending

Viscosity Solutions to Parabolic Master Equations and McKean-Vlasov SDEs with Closed-loop Controls

Cong Wu, Jianfeng Zhang

arxiv:1805.02639 v3 · 2018-05-07 · 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{SGE4OHXRJBOUWSH2JYLZC4VBPA}

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	2026-05-17T23:47:49.026480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9189c71ef1485d4b48fa4e179172a17803435ec551d2a24e4915b5d3abd27dfe

Aliases

arxiv: 1805.02639 · arxiv_version: 1805.02639v3 · doi: 10.48550/arxiv.1805.02639 · pith_short_12: SGE4OHXRJBOU · pith_short_16: SGE4OHXRJBOUWSH2 · pith_short_8: SGE4OHXR

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/SGE4OHXRJBOUWSH2JYLZC4VBPA \
  | 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: 9189c71ef1485d4b48fa4e179172a17803435ec551d2a24e4915b5d3abd27dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcb67bd1b733be84892121639f07f8d41895006aa007885f55893d11325d353",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-07T17:48:56Z",
    "title_canon_sha256": "89a3158ce43edbb612cb2641196058219ed4c41c8922badea02d8216a9db1a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02639",
    "kind": "arxiv",
    "version": 3
  }
}