Pith Number

pith:ENLM6ZNZ

pith:2019:ENLM6ZNZPSNSST6XXFHZVHYY4R

not attested not anchored not stored refs pending

Building arbitrage-free implied volatility: Sinkhorn's algorithm and variants

Hadrien De March (ECOLE POLYTECHNIQUE, Pierre Henry-Labordere (SOCIETE Generale), QANTEV)

arxiv:1902.04456 v3 · 2019-02-12 · 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{ENLM6ZNZPSNSST6XXFHZVHYY4R}

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.

Cited by

1 paper in Pith

Arbitrage-Free Multi-Maturity Risk-Neutral Marginals

Receipt and verification

First computed	2026-07-05T06:31:01.144424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2356cf65b97c9b294fd7b94f9a9f18e456d0d7153acac9488f7e789063af171a

Aliases

arxiv: 1902.04456 · arxiv_version: 1902.04456v3 · doi: 10.48550/arxiv.1902.04456 · pith_short_12: ENLM6ZNZPSNS · pith_short_16: ENLM6ZNZPSNSST6X · pith_short_8: ENLM6ZNZ

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/ENLM6ZNZPSNSST6XXFHZVHYY4R \
  | 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: 2356cf65b97c9b294fd7b94f9a9f18e456d0d7153acac9488f7e789063af171a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebda8f85094a73449421270046c42a48757f77cbe9e6c89561ed7397ae49543",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2019-02-12T16:01:20Z",
    "title_canon_sha256": "44e74089a0bb97f5958f9e56ff80709bd7bab905d22b431f65d0ff15ffc7a1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04456",
    "kind": "arxiv",
    "version": 3
  }
}