Pith Number

pith:Z4XBB4LG

pith:2010:Z4XBB4LGTNWCUU4PZ3O2MEISM4

not attested not anchored not stored refs pending

Bayesian estimation of GARCH model with an adaptive proposal density

Tetsuya Takaishi

arxiv:1012.5986 v2 · 2010-12-29 · q-fin.ST · physics.comp-ph · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4XBB4LGTNWCUU4PZ3O2MEISM4}

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	2026-05-18T03:27:33.191190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2e10f1669b6c2a538fcedda611126735bc5cc54f887b85828865dd54757994

Aliases

arxiv: 1012.5986 · arxiv_version: 1012.5986v2 · doi: 10.48550/arxiv.1012.5986 · pith_short_12: Z4XBB4LGTNWC · pith_short_16: Z4XBB4LGTNWCUU4P · pith_short_8: Z4XBB4LG

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/Z4XBB4LGTNWCUU4PZ3O2MEISM4 \
  | 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: cf2e10f1669b6c2a538fcedda611126735bc5cc54f887b85828865dd54757994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a67cfb7c0fa6bf01b8aa11d5002953d186becae3c2586683789de5a1a0fa7b",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2010-12-29T17:28:05Z",
    "title_canon_sha256": "779abf4f1cf22911cad990b21963e114d8c59c3faffbff1ab68a328593ec4a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5986",
    "kind": "arxiv",
    "version": 2
  }
}