Pith Number

pith:XNQW4KJD

pith:2006:XNQW4KJDUKSTMK53VFC7FJOFNK

not attested not anchored not stored refs pending

A Call-Put Duality for Perpetual American Options

Aur\'elien Alfonsi (CERMICS), Benjamin Jourdain (CERMICS)

arxiv:math/0612648 v1 · 2006-12-21 · 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{XNQW4KJDUKSTMK53VFC7FJOFNK}

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	2026-05-18T01:08:49.338428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb616e2923a2a5362bbba945f2a5c56a9e9cf66a0382fecf8f1b93c562fc9c14

Aliases

arxiv: math/0612648 · arxiv_version: math/0612648v1 · doi: 10.48550/arxiv.math/0612648 · pith_short_12: XNQW4KJDUKST · pith_short_16: XNQW4KJDUKSTMK53 · pith_short_8: XNQW4KJD

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/XNQW4KJDUKSTMK53VFC7FJOFNK \
  | 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: bb616e2923a2a5362bbba945f2a5c56a9e9cf66a0382fecf8f1b93c562fc9c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6129503a46fdd1e9a9864f8f27191ad552f116ecfd0220de2715384b86eb14",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-21T15:08:41Z",
    "title_canon_sha256": "2514f5b219f756802d756a1a46e0c329d8c4674177f0c7d3aa9d6c793cfccd89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612648",
    "kind": "arxiv",
    "version": 1
  }
}