Pith Number

pith:P7OKCOBV

pith:2012:P7OKCOBV3KDVIUQJOPVB3EKDF7

not attested not anchored not stored refs pending

From characteristic functions to implied volatility expansions

Antoine Jacquier, Matthew Lorig

arxiv:1207.0233 v5 · 2012-07-01 · q-fin.CP · q-fin.GN · q-fin.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7OKCOBV3KDVIUQJOPVB3EKDF7}

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	2026-05-18T02:49:02.384348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fdca13835da8754520973ea1d91432fd69b1caaa645d869f7dba9538fb75b2b

Aliases

arxiv: 1207.0233 · arxiv_version: 1207.0233v5 · doi: 10.48550/arxiv.1207.0233 · pith_short_12: P7OKCOBV3KDV · pith_short_16: P7OKCOBV3KDVIUQJ · pith_short_8: P7OKCOBV

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/P7OKCOBV3KDVIUQJOPVB3EKDF7 \
  | 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: 7fdca13835da8754520973ea1d91432fd69b1caaa645d869f7dba9538fb75b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69bcc8d12b0b83f90cf0b3e75695ce2a7a51289b96b056b26793f68b6767f8dc",
    "cross_cats_sorted": [
      "q-fin.GN",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2012-07-01T18:24:52Z",
    "title_canon_sha256": "151492599a312208db0e5d990aeb4158f6b8c03630ad942ce277e3b5ba1ae5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0233",
    "kind": "arxiv",
    "version": 5
  }
}