Pith Number

pith:TAKGW7YM

pith:2008:TAKGW7YMW543OF23PSHRKEPIQT

not attested not anchored not stored refs pending

On contingent claims pricing in incomplete markets: A risk sharing approach

Athanasios N. Yannacopoulos, Michail Anthropelos, Nikolaos E. Frangos, Stylianos Z. Xanthopoulos

arxiv:0809.4781 v3 · 2008-09-27 · q-fin.CP · math.OC · math.PR · q-fin.TR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAKGW7YMW543OF23PSHRKEPIQT}

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	2026-05-18T04:01:51.436710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98146b7f0cb779b7175b7c8f1511e884d0bf84aab56a227c7791c6289077687d

Aliases

arxiv: 0809.4781 · arxiv_version: 0809.4781v3 · doi: 10.48550/arxiv.0809.4781 · pith_short_12: TAKGW7YMW543 · pith_short_16: TAKGW7YMW543OF23 · pith_short_8: TAKGW7YM

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/TAKGW7YMW543OF23PSHRKEPIQT \
  | 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: 98146b7f0cb779b7175b7c8f1511e884d0bf84aab56a227c7791c6289077687d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8a2762a95016d2bee430d4554ab67a572f9d3bc3319bd4bd3a2ea77ec643c7",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.TR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2008-09-27T15:53:24Z",
    "title_canon_sha256": "f2d3b914553e1f92053ac0c69f505e83436f1c88edc1960725b4063a59350226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4781",
    "kind": "arxiv",
    "version": 3
  }
}