Pith Number

pith:7Q7UHCGB

pith:2012:7Q7UHCGBTC6GNJUOJRWBP5JEQ3

not attested not anchored not stored refs pending

Multilevel simulation of functionals of Bernoulli random variables with application to basket credit derivatives

Ben Hambly, Christoph Reisinger, Karolina Bujok

arxiv:1211.0707 v2 · 2012-11-04 · math.NA · math.PR · 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{7Q7UHCGBTC6GNJUOJRWBP5JEQ3}

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	2026-05-18T00:23:27.016083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3f4388c198bc66a68e4c6c17f52486c3b2470df7dbfd6719623f4cffdf239e

Aliases

arxiv: 1211.0707 · arxiv_version: 1211.0707v2 · doi: 10.48550/arxiv.1211.0707 · pith_short_12: 7Q7UHCGBTC6G · pith_short_16: 7Q7UHCGBTC6GNJUO · pith_short_8: 7Q7UHCGB

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/7Q7UHCGBTC6GNJUOJRWBP5JEQ3 \
  | 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: fc3f4388c198bc66a68e4c6c17f52486c3b2470df7dbfd6719623f4cffdf239e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371e024591d8a922ec108ba20ca8cb921161b18fdbe460fe5a5c0651a2fc22e0",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-04T18:00:34Z",
    "title_canon_sha256": "e8b5f4da07754f9a92be8a8122bbf110408df824c66d6a61fc2da33047da9a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0707",
    "kind": "arxiv",
    "version": 2
  }
}