Pith Number

pith:336GCXVL

pith:2012:336GCXVL54ZVDT2PE5ALQNNH4V

not attested not anchored not stored refs pending

H\"older regularity and series representation of a class of stochastic volatility models

Antoine Ayache, Qidi Peng

arxiv:1208.1100 v1 · 2012-08-06 · 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{336GCXVL54ZVDT2PE5ALQNNH4V}

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	2026-05-18T03:49:20.577610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defc615eabef3351cf4f2740b835a7e5701b700c5999ced2ab2cd317383117ff

Aliases

arxiv: 1208.1100 · arxiv_version: 1208.1100v1 · doi: 10.48550/arxiv.1208.1100 · pith_short_12: 336GCXVL54ZV · pith_short_16: 336GCXVL54ZVDT2P · pith_short_8: 336GCXVL

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/336GCXVL54ZVDT2PE5ALQNNH4V \
  | 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: defc615eabef3351cf4f2740b835a7e5701b700c5999ced2ab2cd317383117ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e48f117f8317bb62c98411581a893c9e2e6c83191e00159d70cd7baf340af13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-06T07:50:03Z",
    "title_canon_sha256": "e599c05936d2c9650756fce890f955f6cf9061e040370184518d30e89d2089f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1100",
    "kind": "arxiv",
    "version": 1
  }
}