Pith Number

pith:CECL7AKF

pith:2015:CECL7AKF5QE5JKCIJV6RV6PH5N

not attested not anchored not stored refs pending

A dual algorithm for stochastic control problems: Applications to Uncertain Volatility Models and CVA

Christian Litterer, Pierre Henry-Labord\`ere, Zhenjie Ren

arxiv:1504.06146 v2 · 2015-04-23 · 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{CECL7AKF5QE5JKCIJV6RV6PH5N}

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	2026-05-18T01:20:59.165243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1104bf8145ec09d4a8484d7d1af9e7eb7c14f41c84d56b796089e077759df839

Aliases

arxiv: 1504.06146 · arxiv_version: 1504.06146v2 · doi: 10.48550/arxiv.1504.06146 · pith_short_12: CECL7AKF5QE5 · pith_short_16: CECL7AKF5QE5JKCI · pith_short_8: CECL7AKF

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/CECL7AKF5QE5JKCIJV6RV6PH5N \
  | 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: 1104bf8145ec09d4a8484d7d1af9e7eb7c14f41c84d56b796089e077759df839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2525b8388700b538827b8bf2ec1e9e2acdf906badf03783a335adc6fa119f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-23T12:36:41Z",
    "title_canon_sha256": "2c42a3911e716b463e743701aa0a23bbb7dd63b0861aa5ded9cf91d2b970739e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06146",
    "kind": "arxiv",
    "version": 2
  }
}