Pith Number

pith:QBF3C2LH

pith:2012:QBF3C2LHGDDNLEXQTLCMKFBEY4

not attested not anchored not stored refs pending

Fast computation of vanilla prices in time-changed models and implied volatilities using rational approximations

Johannes Stolte, Martijn Pistorius

arxiv:1203.6899 v1 · 2012-03-30 · 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{QBF3C2LHGDDNLEXQTLCMKFBEY4}

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	2026-05-18T03:58:52.012570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804bb1696730c6d592f09ac4c51424c7345cf008245d0d75045b561687aa8d7a

Aliases

arxiv: 1203.6899 · arxiv_version: 1203.6899v1 · doi: 10.48550/arxiv.1203.6899 · pith_short_12: QBF3C2LHGDDN · pith_short_16: QBF3C2LHGDDNLEXQ · pith_short_8: QBF3C2LH

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/QBF3C2LHGDDNLEXQTLCMKFBEY4 \
  | 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: 804bb1696730c6d592f09ac4c51424c7345cf008245d0d75045b561687aa8d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41f022deeeb7411615e7d7614eb2230a7b35934003fa7fa0e554fab38e9f222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2012-03-30T19:55:49Z",
    "title_canon_sha256": "5f0456500ac7ed9a187d4e96f910977336b01a50d0a1649c6e55fefcc5e02765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6899",
    "kind": "arxiv",
    "version": 1
  }
}