Pith Number

pith:VCYJI4XL

pith:2012:VCYJI4XLNWDUP3RMRDGHFJB342

not attested not anchored not stored refs pending

Maximizing Utility of Consumption Subject to a Constraint on the Probability of Lifetime Ruin

Erhan Bayraktar, Virginia R. Young

arxiv:1206.6268 v1 · 2012-06-27 · q-fin.PM · math.OC · 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{VCYJI4XLNWDUP3RMRDGHFJB342}

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	2026-05-18T03:52:27.187554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b09472eb6d8747ee2c88cc72a43be6ba8f8f4008e777e3af95eddfa19e2182

Aliases

arxiv: 1206.6268 · arxiv_version: 1206.6268v1 · doi: 10.48550/arxiv.1206.6268 · pith_short_12: VCYJI4XLNWDU · pith_short_16: VCYJI4XLNWDUP3RM · pith_short_8: VCYJI4XL

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/VCYJI4XLNWDUP3RMRDGHFJB342 \
  | 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: a8b09472eb6d8747ee2c88cc72a43be6ba8f8f4008e777e3af95eddfa19e2182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa42f29e3fa8bd94dccd10b207ca97b3a0eb92f8c27432bf24ebbd4a01ab1fc4",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-06-27T13:53:37Z",
    "title_canon_sha256": "75497046d6abed3d886a29a407d93dd37eabb3edad509e2f562c8270ca0dab0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6268",
    "kind": "arxiv",
    "version": 1
  }
}