Pith Number

pith:3PVCG34D

pith:2013:3PVCG34D3RI32G2HT3JTZ7M32P

not attested not anchored not stored refs pending

Varadhan's formula, conditioned diffusions, and local volatilities

Peter Friz, Stefano De Marco

arxiv:1311.1545 v3 · 2013-11-06 · q-fin.PR · math.PR · 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{3PVCG34D3RI32G2HT3JTZ7M32P}

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	2026-05-18T01:12:31.024510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbea236f83dc51bd1b479ed33cfd9bd3c65a20c7cb149e40f1f5afc2bc010273

Aliases

arxiv: 1311.1545 · arxiv_version: 1311.1545v3 · doi: 10.48550/arxiv.1311.1545 · pith_short_12: 3PVCG34D3RI3 · pith_short_16: 3PVCG34D3RI32G2H · pith_short_8: 3PVCG34D

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/3PVCG34D3RI32G2HT3JTZ7M32P \
  | 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: dbea236f83dc51bd1b479ed33cfd9bd3c65a20c7cb149e40f1f5afc2bc010273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f2db79fb771399191919545e04200d8bb54c5d76b72a1106bd9234d233251f7",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-11-06T23:08:15Z",
    "title_canon_sha256": "0b5c9158f239944a72afd241cfdd188203e66a225a270bd811ab7de03ad841f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1545",
    "kind": "arxiv",
    "version": 3
  }
}