Pith Number

pith:BN5GZB7Z

pith:2011:BN5GZB7ZJA73WNJMOWUENZTXKQ

not attested not anchored not stored refs pending

Mixing properties of ARCH and time-varying ARCH processes

Piotr Fryzlewicz, Suhasini Subba Rao

arxiv:1102.2053 v1 · 2011-02-10 · 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{BN5GZB7ZJA73WNJMOWUENZTXKQ}

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	2026-05-18T04:29:34.379651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7a6c87f9483fbb352c75a846e677543b639664df9eed38ed101a8420eddd7f

Aliases

arxiv: 1102.2053 · arxiv_version: 1102.2053v1 · doi: 10.48550/arxiv.1102.2053 · pith_short_12: BN5GZB7ZJA73 · pith_short_16: BN5GZB7ZJA73WNJM · pith_short_8: BN5GZB7Z

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/BN5GZB7ZJA73WNJMOWUENZTXKQ \
  | 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: 0b7a6c87f9483fbb352c75a846e677543b639664df9eed38ed101a8420eddd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f853aee7705c5c376e96c57e75cf30908cc8aee2e6850f9082d45af496c0d4f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-10T08:11:33Z",
    "title_canon_sha256": "1b976316f9b42f00969d90eb79ffe0120b2c292627015558e021538ccb76a621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2053",
    "kind": "arxiv",
    "version": 1
  }
}