Pith Number

pith:TG27FRDM

pith:2013:TG27FRDM77QDPWQEKGB3TSNMST

not attested not anchored not stored refs pending

Liability-driven investment in longevity risk management

Helena Aro, Teemu Pennanen

arxiv:1307.8261 v1 · 2013-07-31 · q-fin.RM · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG27FRDM77QDPWQEKGB3TSNMST}

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	2026-05-18T03:17:01.822637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b5f2c46cffe037da045183b9c9ac94c68989466b5e87a741043f209c1369f9

Aliases

arxiv: 1307.8261 · arxiv_version: 1307.8261v1 · doi: 10.48550/arxiv.1307.8261 · pith_short_12: TG27FRDM77QD · pith_short_16: TG27FRDM77QDPWQE · pith_short_8: TG27FRDM

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/TG27FRDM77QDPWQEKGB3TSNMST \
  | 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: 99b5f2c46cffe037da045183b9c9ac94c68989466b5e87a741043f209c1369f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ddb2f37e86108e1ff1da54aea494c38e8c46679e19a86bd89d6292a97e54ee8",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2013-07-31T09:47:10Z",
    "title_canon_sha256": "286cb94c7b34355fc2af24d50cce074857618459cf1e02f647a4f45cba10241b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8261",
    "kind": "arxiv",
    "version": 1
  }
}