Pith Number

pith:EXBEDPHP

pith:2018:EXBEDPHPDCSSQPXNJG3OM6YUZ5

not attested not anchored not stored refs pending

A supreme test for periodic explosive GARCH

Stefan Richter, Wei Biao Wu, Weining Wang

arxiv:1812.03475 v1 · 2018-12-09 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXBEDPHPDCSSQPXNJG3OM6YUZ5}

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	2026-05-17T23:58:46.181002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c241bcef18a5283eed49b6e67b14cf55b20bdd674cd3f576a3e7ddf6f12dfa

Aliases

arxiv: 1812.03475 · arxiv_version: 1812.03475v1 · doi: 10.48550/arxiv.1812.03475 · pith_short_12: EXBEDPHPDCSS · pith_short_16: EXBEDPHPDCSSQPXN · pith_short_8: EXBEDPHP

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/EXBEDPHPDCSSQPXNJG3OM6YUZ5 \
  | 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: 25c241bcef18a5283eed49b6e67b14cf55b20bdd674cd3f576a3e7ddf6f12dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517dc4439ac7d8419a11110e535b35ed64cd372a7e6bfd3ce6bf385f7594eeb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2018-12-09T12:51:14Z",
    "title_canon_sha256": "81065f45651de7a015e7c77e73f993aded651d773727f64d1a518dac0824d1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03475",
    "kind": "arxiv",
    "version": 1
  }
}