Pith Number

pith:WAHUSOD3

pith:2015:WAHUSOD3JFPFHAJWQS4NBHUFVZ

not attested not anchored not stored refs pending

Formula to evaluate a limit related to AR(k) model of Statistics

Jan Vrbik, Yuhao Liu

arxiv:1506.03131 v1 · 2015-06-09 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAHUSOD3JFPFHAJWQS4NBHUFVZ}

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	2026-05-18T01:55:31.446322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00f49387b495e53813684b8d09e85ae5e6878f3c56534c8e6714b308263067a

Aliases

arxiv: 1506.03131 · arxiv_version: 1506.03131v1 · doi: 10.48550/arxiv.1506.03131 · pith_short_12: WAHUSOD3JFPF · pith_short_16: WAHUSOD3JFPFHAJW · pith_short_8: WAHUSOD3

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/WAHUSOD3JFPFHAJWQS4NBHUFVZ \
  | 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: b00f49387b495e53813684b8d09e85ae5e6878f3c56534c8e6714b308263067a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0057add3b52bfd3d95e24d32e727c799951e6125f1b59ef35399a435062ba6e4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-09T23:18:40Z",
    "title_canon_sha256": "789f3f521ec1c7262c3d50b28452a3b58643094e6bcd545e7fde8fbb5947da8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03131",
    "kind": "arxiv",
    "version": 1
  }
}