pith. sign in
Pith Number

pith:PRZOR2AM

pith:2015:PRZOR2AMY47Y7STOAFEA26RA7R
not attested not anchored not stored refs pending

Annuitization and asset allocation

Moshe A. Milevsky, Virginia R. Young

arxiv:1506.05990 v1 · 2015-06-19 · q-fin.PM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PRZOR2AMY47Y7STOAFEA26RA7R}

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 2026-05-18T01:42:46.552116Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7c72e8e80cc73f8fca6e01480d7a20fc41352805c778ba5770cdba3c5323a13c

Aliases

arxiv: 1506.05990 · arxiv_version: 1506.05990v1 · doi: 10.48550/arxiv.1506.05990 · pith_short_12: PRZOR2AMY47Y · pith_short_16: PRZOR2AMY47Y7STO · pith_short_8: PRZOR2AM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PRZOR2AMY47Y7STOAFEA26RA7R \
  | 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: 7c72e8e80cc73f8fca6e01480d7a20fc41352805c778ba5770cdba3c5323a13c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1504aed9668f69a3aced702665c3e8d7511940473e9249ba5bed38f2abc3d018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2015-06-19T13:13:44Z",
    "title_canon_sha256": "55a7f4a982ab8090dc3f456f226312ad507a2ed9ca0179402511a20130f5fc54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05990",
    "kind": "arxiv",
    "version": 1
  }
}