Pith Number

pith:HTXZ3N4A

pith:2011:HTXZ3N4AU7PDNF4GJELC3WQVHI

not attested not anchored not stored refs pending

High-order short-time expansions for ATM option prices under the CGMY model

Christian Houdr\'e, Jos\'e E. Figueroa-L\'opez, Ruoting Gong

arxiv:1112.3111 v2 · 2011-12-14 · q-fin.CP · math.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{HTXZ3N4AU7PDNF4GJELC3WQVHI}

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	2026-05-18T03:46:49.205389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cef9db780a7de36978649162dda153a01cfe2eeb606fd84a121261e2096d66e

Aliases

arxiv: 1112.3111 · arxiv_version: 1112.3111v2 · doi: 10.48550/arxiv.1112.3111 · pith_short_12: HTXZ3N4AU7PD · pith_short_16: HTXZ3N4AU7PDNF4G · pith_short_8: HTXZ3N4A

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/HTXZ3N4AU7PDNF4GJELC3WQVHI \
  | 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: 3cef9db780a7de36978649162dda153a01cfe2eeb606fd84a121261e2096d66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c0494bf3dae15f07396319f8fe9b6fdb485d631eafd6a37db4728657309b0f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2011-12-14T03:49:34Z",
    "title_canon_sha256": "f5a9dca98b178c16922884cb981621c7b8beb6f271c4b7347a3047c2938e1361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3111",
    "kind": "arxiv",
    "version": 2
  }
}