Pith Number

pith:VRB3XXBC

pith:2013:VRB3XXBCSXCZ5NTHMQ3IJHRB76

not attested not anchored not stored refs pending

Capacities, Measurable Selection and Dynamic Programming Part II: Application in Stochastic Control Problems

Nicole El Karoui, Xiaolu Tan

arxiv:1310.3364 v3 · 2013-10-12 · 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{VRB3XXBCSXCZ5NTHMQ3IJHRB76}

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

3 papers in Pith

A limit theory for controlled McKean-Vlasov SPDEs

Set-valued propagation of chaos for controlled path-dependent McKean-Vlasov SPDEs

Numerical method for nonlinear Kolmogorov PDEs via sensitivity analysis

Receipt and verification

First computed	2026-07-05T09:14:24.492351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac43bbdc2295c59eb6676436849e21ffbfe02689c05c68d9927dcefadc35b0c6

Aliases

arxiv: 1310.3364 · arxiv_version: 1310.3364v3 · doi: 10.48550/arxiv.1310.3364 · pith_short_12: VRB3XXBCSXCZ · pith_short_16: VRB3XXBCSXCZ5NTH · pith_short_8: VRB3XXBC

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/VRB3XXBCSXCZ5NTHMQ3IJHRB76 \
  | 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: ac43bbdc2295c59eb6676436849e21ffbfe02689c05c68d9927dcefadc35b0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d190bd85016b8787321d8461f4fad6eee140cce76935d15a9107fbfe70b27b96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-12T12:09:26Z",
    "title_canon_sha256": "bb32436fdb1fab797d179cf1955813ee447e52a0bf81cbf9eae0c6156059ae7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3364",
    "kind": "arxiv",
    "version": 3
  }
}