Pith Number

pith:JFDZF6PX

pith:2013:JFDZF6PXNKJZKZSRDUG6DUDE2Q

not attested not anchored not stored refs pending

An Asymptotic Expansion Formula for Up-and-Out Barrier Option Price under Stochastic Volatility Model

Akihiko Takahashi, Takashi Kato, Toshihiro Yamada

arxiv:1302.3306 v1 · 2013-02-14 · 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{JFDZF6PXNKJZKZSRDUG6DUDE2Q}

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	2026-05-18T02:49:47.235637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494792f9f76a939566511d0de1d064d40decaade145638b07e5f532a75977679

Aliases

arxiv: 1302.3306 · arxiv_version: 1302.3306v1 · doi: 10.48550/arxiv.1302.3306 · pith_short_12: JFDZF6PXNKJZ · pith_short_16: JFDZF6PXNKJZKZSR · pith_short_8: JFDZF6PX

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/JFDZF6PXNKJZKZSRDUG6DUDE2Q \
  | 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: 494792f9f76a939566511d0de1d064d40decaade145638b07e5f532a75977679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea3adc8a9a3afd208bc31472de1698c6d5e4a70f24d85529a589c87bbbf590e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2013-02-14T04:15:35Z",
    "title_canon_sha256": "e7c98f8b0432f2d8d4fa85fd9742a41d754b2854ef67ca3a02605941b81893b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3306",
    "kind": "arxiv",
    "version": 1
  }
}