Pith Number

pith:4XWDYE7B

pith:2007:4XWDYE7BLPUL725PBLR55HNLU7

not attested not anchored not stored refs pending

A characterization of ARMA and Fractional ARIMA models with infinitely divisible innovations

Muneya Matsui

arxiv:math/0703731 v3 · 2007-03-25 · 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{4XWDYE7BLPUL725PBLR55HNLU7}

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	2026-05-17T23:45:24.542778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ec3c13e15be8bfebaf0ae3de9daba7da788919422183531b5945ecdab9e0ee

Aliases

arxiv: math/0703731 · arxiv_version: math/0703731v3 · doi: 10.48550/arxiv.math/0703731 · pith_short_12: 4XWDYE7BLPUL · pith_short_16: 4XWDYE7BLPUL725P · pith_short_8: 4XWDYE7B

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/4XWDYE7BLPUL725PBLR55HNLU7 \
  | 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: e5ec3c13e15be8bfebaf0ae3de9daba7da788919422183531b5945ecdab9e0ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02ebe3167ab9281d35125ceaaadd80d422bca4d39e2f2f89643e411fbc567c5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-03-25T14:54:38Z",
    "title_canon_sha256": "dec71610a4aa4b9d09e300e4db36b148b27e7ab920b07428a42aaea0d32df9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703731",
    "kind": "arxiv",
    "version": 3
  }
}