Pith Number

pith:UMU6TWPE

pith:2011:UMU6TWPER7DUBMYLOLA3BOEIB7

not attested not anchored not stored refs pending

Optimal Dividend Payments for the Piecewise-Deterministic Poisson Risk Model

Chao Zhu, Hans Volkmer, Runhuan Feng, Shuaiqi Zhang

arxiv:1106.2781 v2 · 2011-06-14 · math.OC · cs.SY · 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{UMU6TWPER7DUBMYLOLA3BOEIB7}

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	2026-05-18T01:10:15.511289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a329e9d9e48fc740b30b72c1b0b8880fd788619dd42674a8554adf7e8dcf250f

Aliases

arxiv: 1106.2781 · arxiv_version: 1106.2781v2 · doi: 10.48550/arxiv.1106.2781 · pith_short_12: UMU6TWPER7DU · pith_short_16: UMU6TWPER7DUBMYL · pith_short_8: UMU6TWPE

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/UMU6TWPER7DUBMYLOLA3BOEIB7 \
  | 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: a329e9d9e48fc740b30b72c1b0b8880fd788619dd42674a8554adf7e8dcf250f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d4fb9b7590907ba88822bee96cdfe0ff4900b0ca26486a7e380e67e6dc1c33",
    "cross_cats_sorted": [
      "cs.SY",
      "math.PR",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-06-14T18:27:52Z",
    "title_canon_sha256": "f30f618ca7e5c333c003425c454017c19dc4c104f11eb02cf91674b7f12060bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2781",
    "kind": "arxiv",
    "version": 2
  }
}