Pith Number

pith:KLKBEEXC

pith:2015:KLKBEEXC53OIF5XWKMPNW5EIOD

not attested not anchored not stored refs pending

Time-consistency of risk measures with GARCH volatilities and their estimation

Claudia Kl\"uppelberg, Jianing Zhang

arxiv:1504.04774 v2 · 2015-04-18 · q-fin.RM · 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{KLKBEEXC53OIF5XWKMPNW5EIOD}

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	2026-05-18T01:21:37.516156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d41212e2eedc82f6f6531edb748870e5f44580afaecc0016534d93b54d3579

Aliases

arxiv: 1504.04774 · arxiv_version: 1504.04774v2 · doi: 10.48550/arxiv.1504.04774 · pith_short_12: KLKBEEXC53OI · pith_short_16: KLKBEEXC53OIF5XW · pith_short_8: KLKBEEXC

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/KLKBEEXC53OIF5XWKMPNW5EIOD \
  | 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: 52d41212e2eedc82f6f6531edb748870e5f44580afaecc0016534d93b54d3579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7b0dcfafe43e691461576f141095b6e8f8e4baf4825ce2ee9a9748f89fb34a",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2015-04-18T22:57:22Z",
    "title_canon_sha256": "bbdf8cdb9ed2d14c97eff94cb5e7ff137106b87341d0b6bf579b5e8d9cc20bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04774",
    "kind": "arxiv",
    "version": 2
  }
}