Pith Number

pith:YCQXFCCO

pith:2012:YCQXFCCOZVAHRPRWCZGVSFNTLI

not attested not anchored not stored refs pending

GARCH models without positivity constraints: Exponential or Log GARCH?

CEREMADE), Christian Francq (LFA, EQUIPPE), Jean-Michel Zako\"ian (LFA, Olivier Wintenberger (LFA

arxiv:1211.2060 v2 · 2012-11-09 · 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{YCQXFCCOZVAHRPRWCZGVSFNTLI}

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	2026-05-18T03:28:29.345802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a172884ecd4078be36164d5915b35a107e8c927f91849ddd5aa4b2789e70ed

Aliases

arxiv: 1211.2060 · arxiv_version: 1211.2060v2 · doi: 10.48550/arxiv.1211.2060 · pith_short_12: YCQXFCCOZVAH · pith_short_16: YCQXFCCOZVAHRPRW · pith_short_8: YCQXFCCO

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/YCQXFCCOZVAHRPRWCZGVSFNTLI \
  | 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: c0a172884ecd4078be36164d5915b35a107e8c927f91849ddd5aa4b2789e70ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a90d9a344fcc89f5d3e856d20d285f0ca5b4db48fb66088684b7c19a11506b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-09T07:23:01Z",
    "title_canon_sha256": "c3a1b5b861b9bf1de14796820caffea90c13e512264e486ffbf98ab01f39c988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2060",
    "kind": "arxiv",
    "version": 2
  }
}