Pith Number

pith:UU3QEDX6

pith:2021:UU3QEDX6A54QAAY6LPGI5KBXSX

not attested not anchored not stored refs pending

Joint parametric specification checking of conditional mean and volatility in time series models with martingale difference innovations

Kilani Ghoudi, Mohamed Chaouch, Na\^amane La\"ib

arxiv:2107.00633 v1 · 2021-07-01 · stat.ME · 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{UU3QEDX6A54QAAY6LPGI5KBXSX}

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	2026-07-05T02:54:26.619789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a537020efe077900031e5bcc8ea83795f71b4137006b34f303ab6f13a1bd651e

Aliases

arxiv: 2107.00633 · arxiv_version: 2107.00633v1 · doi: 10.48550/arxiv.2107.00633 · pith_short_12: UU3QEDX6A54Q · pith_short_16: UU3QEDX6A54QAAY6 · pith_short_8: UU3QEDX6

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/UU3QEDX6A54QAAY6LPGI5KBXSX \
  | 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: a537020efe077900031e5bcc8ea83795f71b4137006b34f303ab6f13a1bd651e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c602eec1a2978f96e7001ac208674cde0d0b81fc94f3963476de4904d32f47b9",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-07-01T17:48:13Z",
    "title_canon_sha256": "4deae756ca4adc76d4524a72095e396ceeb54fea9981139f8e1aaeefd420ba1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00633",
    "kind": "arxiv",
    "version": 1
  }
}