Pith Number

pith:3FQP4RIX

pith:2011:3FQP4RIXO6XWKXBJNDEIZ3Z7FR

not attested not anchored not stored refs pending

Don't stay local - extrapolation analytics for Dupire's local volatility

Peter Friz, Stefan Gerhold

arxiv:1105.1267 v1 · 2011-05-06 · q-fin.PR · math.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{3FQP4RIXO6XWKXBJNDEIZ3Z7FR}

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	2026-05-18T04:22:40.752488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d960fe451777af655c2968c88cef3f2c507744a79e91c5ef4b87f630a4153446

Aliases

arxiv: 1105.1267 · arxiv_version: 1105.1267v1 · doi: 10.48550/arxiv.1105.1267 · pith_short_12: 3FQP4RIXO6XW · pith_short_16: 3FQP4RIXO6XWKXBJ · pith_short_8: 3FQP4RIX

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/3FQP4RIXO6XWKXBJNDEIZ3Z7FR \
  | 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: d960fe451777af655c2968c88cef3f2c507744a79e91c5ef4b87f630a4153446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5e4bb7cd3702c0e05fe7faafdc70ea55746a5979e6e5a0c4a9da8c7a310d97",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2011-05-06T11:44:28Z",
    "title_canon_sha256": "6bb43054df3d8b2049e9881f6493166852088bb8bfecb2224410cd1c5a12820c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1267",
    "kind": "arxiv",
    "version": 1
  }
}