Pith Number

pith:GI7NU3BD

pith:2016:GI7NU3BDFIRBX7JDRVZRPTMAOP

not attested not anchored not stored refs pending

Optimal dividend payments for a two-dimensional insurance risk process

Nora Muler, Pablo Azcue, Zbigniew Palmowski

arxiv:1603.07019 v3 · 2016-03-22 · math.OC · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI7NU3BDFIRBX7JDRVZRPTMAOP}

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	2026-05-18T00:18:46.965510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323eda6c232a221bfd238d7317cd8073e7f2f814190b6e4620601dc38c34a11d

Aliases

arxiv: 1603.07019 · arxiv_version: 1603.07019v3 · doi: 10.48550/arxiv.1603.07019 · pith_short_12: GI7NU3BDFIRB · pith_short_16: GI7NU3BDFIRBX7JD · pith_short_8: GI7NU3BD

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/GI7NU3BDFIRBX7JDRVZRPTMAOP \
  | 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: 323eda6c232a221bfd238d7317cd8073e7f2f814190b6e4620601dc38c34a11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e39c2c71fe1760540b730a79a1de99b33e5f07287711507328c179fbb0aa04",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-22T22:47:50Z",
    "title_canon_sha256": "6295d412744221095f264f2800baa80f8179f04a32fb40938baebdf2b6b17448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07019",
    "kind": "arxiv",
    "version": 3
  }
}