Pith Number

pith:QV3OTVV5

pith:2010:QV3OTVV5WL3IQOXRNDHR2SCRUP

not attested not anchored not stored refs pending

The Hartman-Watson Distribution revisited: Asymptotics for Pricing Asian Options

Stefan Gerhold

arxiv:1011.4830 v2 · 2010-11-22 · 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{QV3OTVV5WL3IQOXRNDHR2SCRUP}

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	2026-05-18T04:22:41.348128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8576e9d6bdb2f6883af168cf1d4851a3e21174573a4c9cf0e3258d9e7b776ba3

Aliases

arxiv: 1011.4830 · arxiv_version: 1011.4830v2 · doi: 10.48550/arxiv.1011.4830 · pith_short_12: QV3OTVV5WL3I · pith_short_16: QV3OTVV5WL3IQOXR · pith_short_8: QV3OTVV5

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/QV3OTVV5WL3IQOXRNDHR2SCRUP \
  | 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: 8576e9d6bdb2f6883af168cf1d4851a3e21174573a4c9cf0e3258d9e7b776ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b412a92b3511ced69d5e3ec5868479f8af3d6cbec995aff51235ae9118d35f",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-22T14:54:59Z",
    "title_canon_sha256": "7b891ec00e2fd7e190546517aeca3134d71ecd1a5d6140ef09fc05b8d37bbad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4830",
    "kind": "arxiv",
    "version": 2
  }
}