Pith Number

pith:K6KYV4JR

pith:2013:K6KYV4JRNXSBTD4AY3TI4JRMOO

not attested not anchored not stored refs pending

Optimal Retirement Tontines for the 21st Century: With Reference to Mortality Derivatives in 1693

Moshe A. Milevsky, Thomas S. Salisbury

arxiv:1307.2824 v1 · 2013-07-10 · q-fin.PM · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6KYV4JRNXSBTD4AY3TI4JRMOO}

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	2026-05-18T01:00:46.515763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57958af1316de4198f80c6e68e262c73bfa706f1a463b9422481d3856435babb

Aliases

arxiv: 1307.2824 · arxiv_version: 1307.2824v1 · doi: 10.48550/arxiv.1307.2824 · pith_short_12: K6KYV4JRNXSB · pith_short_16: K6KYV4JRNXSBTD4A · pith_short_8: K6KYV4JR

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/K6KYV4JRNXSBTD4AY3TI4JRMOO \
  | 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: 57958af1316de4198f80c6e68e262c73bfa706f1a463b9422481d3856435babb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa72626dd6faeed5d47aeb328eb30e7c7aafdb0f122335341d2047cd06582ed5",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-07-10T15:20:23Z",
    "title_canon_sha256": "fb11318ddca01d65d9c34d45fc1304297cb20c320bd9daf3c8fd1a34598bd95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2824",
    "kind": "arxiv",
    "version": 1
  }
}