pith. sign in
Pith Number

pith:F22KVUE7

pith:2016:F22KVUE7GYRWOT5OZEKK357CA7
not attested not anchored not stored refs pending

Mortality and life expectancy forecasting for a group of populations in developed countries: A robust multilevel functional data method

Han Lin Shang

arxiv:1609.07511 v1 · 2016-09-23 · stat.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F22KVUE7GYRWOT5OZEKK357CA7}

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 2026-05-18T01:03:56.189499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2eb4aad09f3623674faec914adf7e207ec53a2f7fe2327bea1e86324c2587a35

Aliases

arxiv: 1609.07511 · arxiv_version: 1609.07511v1 · doi: 10.48550/arxiv.1609.07511 · pith_short_12: F22KVUE7GYRW · pith_short_16: F22KVUE7GYRWOT5O · pith_short_8: F22KVUE7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F22KVUE7GYRWOT5OZEKK357CA7 \
  | 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: 2eb4aad09f3623674faec914adf7e207ec53a2f7fe2327bea1e86324c2587a35
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e531d11ab82e15494cec90279151e7745f1fbab463e57a31598263170b3c4910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2016-09-23T20:51:35Z",
    "title_canon_sha256": "258dcbbd69f99ec11094a844d202a8c39d7cec06f5cfdc01a1c5aa3faf2538c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07511",
    "kind": "arxiv",
    "version": 1
  }
}