Pith Number

pith:P52XIC2H

pith:2002:P52XIC2HA3SWNBQAQ3VWQE2TEU

not attested not anchored not stored refs pending

Analytical ramifications of derivatives valuation: Asian options and special functions

Michael Schr\"oder

arxiv:math/0202298 v1 · 2002-02-28 · math.CA · 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{P52XIC2HA3SWNBQAQ3VWQE2TEU}

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	2026-05-18T01:08:59.883173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f75740b4706e566860086eb68135325018f8cba66d75044de1534fb89816a9e

Aliases

arxiv: math/0202298 · arxiv_version: math/0202298v1 · doi: 10.48550/arxiv.math/0202298 · pith_short_12: P52XIC2HA3SW · pith_short_16: P52XIC2HA3SWNBQA · pith_short_8: P52XIC2H

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/P52XIC2HA3SWNBQAQ3VWQE2TEU \
  | 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: 7f75740b4706e566860086eb68135325018f8cba66d75044de1534fb89816a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53491ee9d4366945a2373105904a25ddbd6384dd17864580dd1388c34b38081a",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PR"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-02-28T11:53:51Z",
    "title_canon_sha256": "fb972eea36e0add4d8337e72256035a832bc19aea3748adb046e612e8efdf57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202298",
    "kind": "arxiv",
    "version": 1
  }
}