Pith Number

pith:32ESCAAV

pith:2016:32ESCAAVMOEX3ZFMJZRYDCLDRO

not attested not anchored not stored refs pending

Duality formulas for robust pricing and hedging in discrete time

Ludovic Tangpi, Michael Kupper, Patrick Cheridito

arxiv:1602.06177 v5 · 2016-02-19 · 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{32ESCAAVMOEX3ZFMJZRYDCLDRO}

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	2026-05-18T00:35:18.715118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8921001563897de4ac4e638189638bbe25bb16acadba5fb11c84f738a7cf4b

Aliases

arxiv: 1602.06177 · arxiv_version: 1602.06177v5 · doi: 10.48550/arxiv.1602.06177 · pith_short_12: 32ESCAAVMOEX · pith_short_16: 32ESCAAVMOEX3ZFM · pith_short_8: 32ESCAAV

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/32ESCAAVMOEX3ZFMJZRYDCLDRO \
  | 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: de8921001563897de4ac4e638189638bbe25bb16acadba5fb11c84f738a7cf4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b2f2c75ec5d14a33cec7a6c24df5c46b4aaffcead02ebe277aa90cabba0d0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-02-19T15:11:41Z",
    "title_canon_sha256": "14390b9540e72e1707098b6f914dc2ce89ac25396de1f7a44b1a86fe291cee26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06177",
    "kind": "arxiv",
    "version": 5
  }
}