Pith Number

pith:4F5IETMS

pith:2011:4F5IETMSVQHN7LYKSZDIN7K2MM

not attested not anchored not stored refs pending

Optimal dual martingales, their analysis and application to new algorithms for Bermudan products

Jianing Zhang, John Schoenmakers, Junbo Huang

arxiv:1111.6038 v2 · 2011-11-25 · q-fin.CP · 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{4F5IETMSVQHN7LYKSZDIN7K2MM}

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	2026-05-18T04:02:26.923811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17a824d92ac0edfaf0a964686fd5a632ffa9c8d9d6cbc664fef0c15142860f8

Aliases

arxiv: 1111.6038 · arxiv_version: 1111.6038v2 · doi: 10.48550/arxiv.1111.6038 · pith_short_12: 4F5IETMSVQHN · pith_short_16: 4F5IETMSVQHN7LYK · pith_short_8: 4F5IETMS

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/4F5IETMSVQHN7LYKSZDIN7K2MM \
  | 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: e17a824d92ac0edfaf0a964686fd5a632ffa9c8d9d6cbc664fef0c15142860f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbea8c6adabd58af61c85b71a31e4c8bab8731e0c83a8ec42379378010026b40",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2011-11-25T16:05:33Z",
    "title_canon_sha256": "2ff600244c235a9f9648b835cf5aa246a63a10243f08f27a1400261358bfcf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6038",
    "kind": "arxiv",
    "version": 2
  }
}