Pith Number

pith:ANQRH2A4

pith:2016:ANQRH2A4LI3LDCVZPX2U6NYMPS

not attested not anchored not stored refs pending

On Optimal Retirement (How to Retire Early)

Dean Foster, Larry Shepp, Philip Ernst

arxiv:1605.01028 v1 · 2016-05-03 · q-fin.ST · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANQRH2A4LI3LDCVZPX2U6NYMPS}

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	2026-05-18T01:15:47.450802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036113e81c5a36b18ab97df54f370c7cb70e22009defb24596d05a95431f2fe1

Aliases

arxiv: 1605.01028 · arxiv_version: 1605.01028v1 · doi: 10.48550/arxiv.1605.01028 · pith_short_12: ANQRH2A4LI3L · pith_short_16: ANQRH2A4LI3LDCVZ · pith_short_8: ANQRH2A4

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/ANQRH2A4LI3LDCVZPX2U6NYMPS \
  | 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: 036113e81c5a36b18ab97df54f370c7cb70e22009defb24596d05a95431f2fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7ce9f2ada226e11eeefae43a549bb3e4e8c7d844dd10d354d45c3ee0f17dd6",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2016-05-03T19:15:33Z",
    "title_canon_sha256": "8b566eed6ee5a8eb415fe370e037663d5295ff1d23d4ecb51e8ff8fd39c642e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01028",
    "kind": "arxiv",
    "version": 1
  }
}