Pith Number

pith:LYYPRCQK

pith:2016:LYYPRCQKTXGEEIJAZ4ZNXTJOVE

not attested not anchored not stored refs pending

Bounds for VIX Futures given S&P 500 Smiles

Julien Guyon, Marcel Nutz, Romain Menegaux

arxiv:1609.05832 v2 · 2016-09-19 · q-fin.PR · math.OC · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYYPRCQKTXGEEIJAZ4ZNXTJOVE}

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	2026-05-18T00:41:51.318626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e30f88a0a9dcc422120cf32dbcd2ea931d7eea85797534d76c360eb53286ed6

Aliases

arxiv: 1609.05832 · arxiv_version: 1609.05832v2 · doi: 10.48550/arxiv.1609.05832 · pith_short_12: LYYPRCQKTXGE · pith_short_16: LYYPRCQKTXGEEIJA · pith_short_8: LYYPRCQK

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/LYYPRCQKTXGEEIJAZ4ZNXTJOVE \
  | 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: 5e30f88a0a9dcc422120cf32dbcd2ea931d7eea85797534d76c360eb53286ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e1d4f6d5aafde55c123783d9477bf6bd259bf4ca5e9fc2154944923d684518",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2016-09-19T17:18:01Z",
    "title_canon_sha256": "12c87a53a4e3c88369b58d67e8624637176001fa5513213271323433f20c1a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05832",
    "kind": "arxiv",
    "version": 2
  }
}