Pith Number

pith:67XFVKNW

pith:2011:67XFVKNWYCIRM2VXYPDIBQLXW5

not attested not anchored not stored refs pending

Numerical Solutions of Optimal Risk Control and Dividend Optimization Policies under A Generalized Singular Control Formulation

Chao Zhu, George Yin, Zhuo Jin

arxiv:1111.2584 v1 · 2011-11-10 · q-fin.CP · math.OC · math.PR · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67XFVKNWYCIRM2VXYPDIBQLXW5}

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	2026-05-18T04:08:33.818353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ee5aa9b6c091166ab7c3c680c177b77cf46ba3b6241d76660de402efdb43d5

Aliases

arxiv: 1111.2584 · arxiv_version: 1111.2584v1 · doi: 10.48550/arxiv.1111.2584 · pith_short_12: 67XFVKNWYCIR · pith_short_16: 67XFVKNWYCIRM2VX · pith_short_8: 67XFVKNW

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/67XFVKNWYCIRM2VXYPDIBQLXW5 \
  | 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: f7ee5aa9b6c091166ab7c3c680c177b77cf46ba3b6241d76660de402efdb43d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e276595926ee2c6e1d5351c2c4d66eb9393416ed6690f6fa680251965abf9a",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2011-11-10T20:16:03Z",
    "title_canon_sha256": "80480d979869036034ab3a3f0317a9c741bad918cfbdeb9c742e65dcabb8166e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2584",
    "kind": "arxiv",
    "version": 1
  }
}