Pith Number

pith:VRJETIDF

pith:2010:VRJETIDF5BXT6MNNMKWINQHOH2

not attested not anchored not stored refs pending

Improved Frechet bounds and model-free pricing of multi-asset options

Ecole Polytechnique), Peter Tankov (CMAP

arxiv:1004.4153 v2 · 2010-04-23 · q-fin.PR · 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{VRJETIDF5BXT6MNNMKWINQHOH2}

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	2026-05-18T04:25:50.344947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5249a065e86f3f31ad62ac86c0ee3eb7b09f526bb4f75e471bb0a1b26a8a8b

Aliases

arxiv: 1004.4153 · arxiv_version: 1004.4153v2 · doi: 10.48550/arxiv.1004.4153 · pith_short_12: VRJETIDF5BXT · pith_short_16: VRJETIDF5BXT6MNN · pith_short_8: VRJETIDF

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/VRJETIDF5BXT6MNNMKWINQHOH2 \
  | 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: ac5249a065e86f3f31ad62ac86c0ee3eb7b09f526bb4f75e471bb0a1b26a8a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d811b649a6ea06cd464d0ad417d0e01b6ff3fe50c406c96ea5cc27b0d68acdf",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-04-23T14:58:56Z",
    "title_canon_sha256": "78d74b7a96c856ec9cde0f99dcbf2041d4b6d830947d6b336a7655a7baa39654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4153",
    "kind": "arxiv",
    "version": 2
  }
}