Pith Number

pith:OAR27RDL

pith:2012:OAR27RDLXNZVPT4VP6CQ6KN36N

not attested not anchored not stored refs pending

Global self-weighted and local quasi-maximum exponential likelihood estimators for ARMA--GARCH/IGARCH models

Ke Zhu, Shiqing Ling

arxiv:1201.6216 v1 · 2012-01-30 · 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{OAR27RDLXNZVPT4VP6CQ6KN36N}

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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	2026-05-18T04:03:33.357461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7023afc46bbb7357cf957f850f29bbf34d5e83dcab38ce6c78581bdcaad7bd32

Aliases

arxiv: 1201.6216 · arxiv_version: 1201.6216v1 · doi: 10.48550/arxiv.1201.6216 · pith_short_12: OAR27RDLXNZV · pith_short_16: OAR27RDLXNZVPT4V · pith_short_8: OAR27RDL

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/OAR27RDLXNZVPT4VP6CQ6KN36N \
  | 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: 7023afc46bbb7357cf957f850f29bbf34d5e83dcab38ce6c78581bdcaad7bd32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ba33c054371b4a1cc9cb22d67cd79d98cd2cba6792e3f15c473b65c290cb01",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-01-30T14:10:37Z",
    "title_canon_sha256": "8fd492fd60ee70a3b6dcdf6737634f27b2b3cfea3070708258f1216f208c4772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6216",
    "kind": "arxiv",
    "version": 1
  }
}