Pith Number

pith:2V4TXUNR

pith:2019:2V4TXUNR4ECLM2Y3X2CUTA6GDH

not attested not anchored not stored refs pending

Continuous-time Markov-switching GARCH Process with Robust and Efficient State Path and Volatility Estimation

Fang Liu, Yinan Li

arxiv:1906.07313 v2 · 2019-06-18 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V4TXUNR4ECLM2Y3X2CUTA6GDH}

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	2026-07-05T01:58:53.807172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5793bd1b1e104b66b1bbe854983c619caa7b977f1e656fdec70c59fa99c4e39

Aliases

arxiv: 1906.07313 · arxiv_version: 1906.07313v2 · doi: 10.48550/arxiv.1906.07313 · pith_short_12: 2V4TXUNR4ECL · pith_short_16: 2V4TXUNR4ECLM2Y3 · pith_short_8: 2V4TXUNR

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/2V4TXUNR4ECLM2Y3X2CUTA6GDH \
  | 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: d5793bd1b1e104b66b1bbe854983c619caa7b977f1e656fdec70c59fa99c4e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c33787327cee60cec30a069a1d03e5bd1bc14e3e1f2b94373e244d1e87b6d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2019-06-18T00:15:07Z",
    "title_canon_sha256": "e637afd725a23e3ab8c1f22908d38694c5270957ffde0b4aa63018d0361a9f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07313",
    "kind": "arxiv",
    "version": 2
  }
}