Pith Number

pith:2NRTJ373

pith:2018:2NRTJ373VIJBNAJDMJ7Y5QH4CF

not attested not anchored not stored refs pending

Analytic Moments for GARCH Processes

Carol Alexander, Emese Lazar, Silvia Stanescu

arxiv:1808.09666 v2 · 2018-08-29 · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NRTJ373VIJBNAJDMJ7Y5QH4CF}

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	2026-05-18T00:06:22.314649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36334effbaa12168123627f8ec0fc1174ca44f73f25f7a8f1a510f1d4bf237c

Aliases

arxiv: 1808.09666 · arxiv_version: 1808.09666v2 · doi: 10.48550/arxiv.1808.09666 · pith_short_12: 2NRTJ373VIJB · pith_short_16: 2NRTJ373VIJBNAJD · pith_short_8: 2NRTJ373

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/2NRTJ373VIJBNAJDMJ7Y5QH4CF \
  | 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: d36334effbaa12168123627f8ec0fc1174ca44f73f25f7a8f1a510f1d4bf237c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aec94384f4a23b27938c397dfb696ad3505784f3fcf01c58a28f5a47fe7cfa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2018-08-29T07:48:17Z",
    "title_canon_sha256": "3777c769a6ebdef8aaaf7423bb00875cee906371407de3e99f1b765b4c9f7b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09666",
    "kind": "arxiv",
    "version": 2
  }
}