pith. sign in
Pith Number

pith:WLGHUW77

pith:2011:WLGHUW77ULT4I746Z6R7GYG4KB
not attested not anchored not stored refs pending

Strictly stationary solutions of multivariate ARMA equations with i.i.d. noise

Alexander Lindner, Bernd Vollenbroeker, Peter J. Brockwell

arxiv:1105.3510 v1 · 2011-05-18 · math.ST · math.PR · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WLGHUW77ULT4I746Z6R7GYG4KB}

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 2026-05-18T04:21:52.454775Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b2cc7a5bffa2e7c47f9ecfa3f360dc5068d5acc6ef1f9139bbf6f6eb52141d71

Aliases

arxiv: 1105.3510 · arxiv_version: 1105.3510v1 · doi: 10.48550/arxiv.1105.3510 · pith_short_12: WLGHUW77ULT4 · pith_short_16: WLGHUW77ULT4I746 · pith_short_8: WLGHUW77
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WLGHUW77ULT4I746Z6R7GYG4KB \
  | 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: b2cc7a5bffa2e7c47f9ecfa3f360dc5068d5acc6ef1f9139bbf6f6eb52141d71
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e6f386170f49edc37d46fa66ac248d2118dd8f62f48acf7d3999d304da755a6",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-05-18T01:55:11Z",
    "title_canon_sha256": "3e36c132873c83c8d0b085a1c424994dd3e2f70c5dfea794d531b951d6202d53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3510",
    "kind": "arxiv",
    "version": 1
  }
}