Pith Number

pith:CZSQJAGS

pith:2016:CZSQJAGSWYWZ2NES4FWEYU62K3

not attested not anchored not stored refs pending

Grouped functional time series forecasting: An application to age-specific mortality rates

Han Lin Shang, Rob J Hyndman

arxiv:1609.04222 v1 · 2016-09-14 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZSQJAGSWYWZ2NES4FWEYU62K3}

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	2026-05-18T01:04:38.566457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16650480d2b62d9d3492e16c4c53da56f5d8deaea865421ad9d71ce34b2f95dc

Aliases

arxiv: 1609.04222 · arxiv_version: 1609.04222v1 · doi: 10.48550/arxiv.1609.04222 · pith_short_12: CZSQJAGSWYWZ · pith_short_16: CZSQJAGSWYWZ2NES · pith_short_8: CZSQJAGS

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/CZSQJAGSWYWZ2NES4FWEYU62K3 \
  | 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: 16650480d2b62d9d3492e16c4c53da56f5d8deaea865421ad9d71ce34b2f95dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9f23d33ee47e2397792533a80adab5d142c8796e079d6446f33e5ffb4ac616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2016-09-14T11:32:08Z",
    "title_canon_sha256": "2304285084c100b74ca683aa9e86972258ad3844a92478b02a8673daa0362847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04222",
    "kind": "arxiv",
    "version": 1
  }
}