Pith Number

pith:FSIJW2UZ

pith:2011:FSIJW2UZ4HAHLHK6TRCNIQIHFG

not attested not anchored not stored refs pending

Stationarity and Geometric Ergodicity of BEKK Multivariate GARCH Models

Farid Boussama, Florian Fuchs, Robert Stelzer

arxiv:1106.0165 v1 · 2011-06-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSIJW2UZ4HAHLHK6TRCNIQIHFG}

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	2026-05-18T04:16:31.918459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c909b6a99e1c0759d5e9c44d441072991dd4eac2fa341259f43d690927b6c33

Aliases

arxiv: 1106.0165 · arxiv_version: 1106.0165v1 · doi: 10.48550/arxiv.1106.0165 · pith_short_12: FSIJW2UZ4HAH · pith_short_16: FSIJW2UZ4HAHLHK6 · pith_short_8: FSIJW2UZ

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/FSIJW2UZ4HAHLHK6TRCNIQIHFG \
  | 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: 2c909b6a99e1c0759d5e9c44d441072991dd4eac2fa341259f43d690927b6c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32af0ea9d0e5538cfd92cce45c3bd6fc3ae516a19606a818b54303b06a468d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-01T13:05:12Z",
    "title_canon_sha256": "88ed3cf91ecb423d5d4277a37764fa2afed4f3d9a49934c03545f1a3174a9dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0165",
    "kind": "arxiv",
    "version": 1
  }
}