Pith Number

pith:CUBLRVBV

pith:2008:CUBLRVBV4PDBWO3FMFJA7QH5I2

not attested not anchored not stored refs pending

The general mixture-diffusion SDE and its relationship with an uncertain-volatility option model with volatility-asset decorrelation

Damiano Brigo

arxiv:0812.4052 v1 · 2008-12-21 · q-fin.CP · 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{CUBLRVBV4PDBWO3FMFJA7QH5I2}

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.

Cited by

2 papers in Pith

Introduction to Stochastic Differential Equations for Generative Machine Learning: A Variational Perspective

Hypergraph Generation via Structured Stochastic Diffusion

Receipt and verification

First computed	2026-07-04T15:35:01.502613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1502b8d435e3c61b3b6561520fc0fd469849d1254a594ffb47291459f4da929f

Aliases

arxiv: 0812.4052 · arxiv_version: 0812.4052v1 · doi: 10.48550/arxiv.0812.4052 · pith_short_12: CUBLRVBV4PDB · pith_short_16: CUBLRVBV4PDBWO3F · pith_short_8: CUBLRVBV

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/CUBLRVBV4PDBWO3FMFJA7QH5I2 \
  | 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: 1502b8d435e3c61b3b6561520fc0fd469849d1254a594ffb47291459f4da929f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e41c07e70c9ec32b66a9dd2b60d8d3737b79e589046d8ab7c30f42d2aba4582",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2008-12-21T19:20:58Z",
    "title_canon_sha256": "583f44164f89ff5df8ef29339fa43e58d11b556422f13e1cd30e61bb8cf7c2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4052",
    "kind": "arxiv",
    "version": 1
  }
}