Pith Number

pith:LPVY4S2R

pith:2010:LPVY4S2REBXT55P3C2I4ZL42XU

not attested not anchored not stored refs pending

Valuation equations for stochastic volatility models

Constantinos Kardaras, Erhan Bayraktar, Hao Xing

arxiv:1004.3299 v4 · 2010-04-19 · math.PR · 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{LPVY4S2REBXT55P3C2I4ZL42XU}

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	2026-05-18T04:06:43.715791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5beb8e4b51206f3ef5fb1691ccaf9abd2ad5e7a34415f0557fd2c1b7bc53b36c

Aliases

arxiv: 1004.3299 · arxiv_version: 1004.3299v4 · doi: 10.48550/arxiv.1004.3299 · pith_short_12: LPVY4S2REBXT · pith_short_16: LPVY4S2REBXT55P3 · pith_short_8: LPVY4S2R

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/LPVY4S2REBXT55P3C2I4ZL42XU \
  | 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: 5beb8e4b51206f3ef5fb1691ccaf9abd2ad5e7a34415f0557fd2c1b7bc53b36c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "270a829db303e472944f76c68184b4f2cc9a588b8e7f6843152ba220304aacf9",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-19T20:23:36Z",
    "title_canon_sha256": "20c5e49bd66355712a854dcffcb56962a2c6527889088e71d4dff14c68541680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3299",
    "kind": "arxiv",
    "version": 4
  }
}