Pith Number

pith:GVR6V243

pith:2011:GVR6V2437URQSDTH64HZQOVSPI

not attested not anchored not stored refs pending

Optimal Constrained Investment in the Cramer-Lundberg model

Christian Hipp, Michael Taksar, Shangzhen Luo, Tatiana Belkina

arxiv:1112.4007 v1 · 2011-12-17 · q-fin.PM · 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{GVR6V2437URQSDTH64HZQOVSPI}

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	2026-05-18T04:06:07.227873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3563eaeb9bfd23090e67f70f983ab27a21ae9ad6846c70c8655e2a724d607590

Aliases

arxiv: 1112.4007 · arxiv_version: 1112.4007v1 · doi: 10.48550/arxiv.1112.4007 · pith_short_12: GVR6V2437URQ · pith_short_16: GVR6V2437URQSDTH · pith_short_8: GVR6V243

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/GVR6V2437URQSDTH64HZQOVSPI \
  | 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: 3563eaeb9bfd23090e67f70f983ab27a21ae9ad6846c70c8655e2a724d607590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90b5f283e180a7aa0c5a9c16de92829225a405cf5e71e70d976e709e518ea31",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-12-17T01:58:32Z",
    "title_canon_sha256": "9ff284ac8be736303a9f11f6e82d7a8e17c3eaf42f7dbaedfc93f18bbfc18244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4007",
    "kind": "arxiv",
    "version": 1
  }
}