Pith Number

pith:WCCJWMU2

pith:2012:WCCJWMU2BV235TUSOFPUPZ3WPT

not attested not anchored not stored refs pending

Optimal retirement consumption with a stochastic force of mortality

Huaxiong Huang, Moshe A. Milevsky, Thomas S. Salisbury

arxiv:1205.2295 v1 · 2012-05-10 · 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{WCCJWMU2BV235TUSOFPUPZ3WPT}

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	2026-05-18T03:55:11.869214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0849b329a0d75bece92715f47e7767cc8902dd1facc16c1f795e65c790d8622

Aliases

arxiv: 1205.2295 · arxiv_version: 1205.2295v1 · doi: 10.48550/arxiv.1205.2295 · pith_short_12: WCCJWMU2BV23 · pith_short_16: WCCJWMU2BV235TUS · pith_short_8: WCCJWMU2

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/WCCJWMU2BV235TUSOFPUPZ3WPT \
  | 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: b0849b329a0d75bece92715f47e7767cc8902dd1facc16c1f795e65c790d8622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286111eb87486ea95203b8f3165d48f93b2f1115731e8498f7378110aae3be40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-05-10T15:45:07Z",
    "title_canon_sha256": "a4a7a10595787adb1f871201979364bf1b6f4eeb0e3b2bd7b74d1d422a118b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2295",
    "kind": "arxiv",
    "version": 1
  }
}