Pith Number

pith:KXC6MXP2

pith:2016:KXC6MXP236OT64NT353TQ4XE25

not attested not anchored not stored refs pending

Optimal retirement income tontines

Moshe A. Milevsky, Thomas S. Salisbury

arxiv:1610.10078 v1 · 2016-10-28 · q-fin.MF · 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{KXC6MXP236OT64NT353TQ4XE25}

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	2026-05-18T01:00:46.612230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c5e65dfadf9d3f71b3df773872e4d77f6d08d2a8245c107e27cff35c65b7f3

Aliases

arxiv: 1610.10078 · arxiv_version: 1610.10078v1 · doi: 10.48550/arxiv.1610.10078 · pith_short_12: KXC6MXP236OT · pith_short_16: KXC6MXP236OT64NT · pith_short_8: KXC6MXP2

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/KXC6MXP236OT64NT353TQ4XE25 \
  | 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: 55c5e65dfadf9d3f71b3df773872e4d77f6d08d2a8245c107e27cff35c65b7f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36edab4d7c1cc313fd91a066128edf454da707d61049d76e64d9df7686d0b1d8",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-10-28T19:51:02Z",
    "title_canon_sha256": "22e8de52fda330682f40b0e78779c5df5a342a25c28b9b6e66350abb479bb798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10078",
    "kind": "arxiv",
    "version": 1
  }
}