Pith Number

pith:CINAEIDO

pith:2000:CINAEIDOHRTSZ7YUDRWBXMXB3P

not attested not anchored not stored refs pending

On the valuation of Asian options: integral representations

Michael Schr\"oder

arxiv:math/0003055 v1 · 2000-03-09 · math.CV · 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{CINAEIDOHRTSZ7YUDRWBXMXB3P}

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	2026-05-18T01:09:07.947776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121a02206e3c672cff141c6c1bb2e1dbcefca093b4848c5b4f287a6b0c05c37c

Aliases

arxiv: math/0003055 · arxiv_version: math/0003055v1 · doi: 10.48550/arxiv.math/0003055 · pith_short_12: CINAEIDOHRTS · pith_short_16: CINAEIDOHRTSZ7YU · pith_short_8: CINAEIDO

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/CINAEIDOHRTSZ7YUDRWBXMXB3P \
  | 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: 121a02206e3c672cff141c6c1bb2e1dbcefca093b4848c5b4f287a6b0c05c37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fec45a4a01928e50bc70d4a07830aedf23c103d35faeafd585552aa5ca60c83",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2000-03-09T16:34:33Z",
    "title_canon_sha256": "c95f06277bb9b502e28e2fb3a87f26ef8519c696fc9e11d81bf469328c6a259d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003055",
    "kind": "arxiv",
    "version": 1
  }
}