Pith Number

pith:4FLL42P5

pith:2014:4FLL42P5D32F4ZVTTJKLTMAO2X

not attested not anchored not stored refs pending

General smile asymptotics with bounded maturity

Francesco Caravenna, Jacopo Corbetta

arxiv:1411.1624 v3 · 2014-11-06 · q-fin.PR · 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{4FLL42P5D32F4ZVTTJKLTMAO2X}

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	2026-05-18T01:11:25.461239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e156be69fd1ef45e66b39a54b9b00ed5c65963195c05623b74dae5b297eefd11

Aliases

arxiv: 1411.1624 · arxiv_version: 1411.1624v3 · doi: 10.48550/arxiv.1411.1624 · pith_short_12: 4FLL42P5D32F · pith_short_16: 4FLL42P5D32F4ZVT · pith_short_8: 4FLL42P5

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/4FLL42P5D32F4ZVTTJKLTMAO2X \
  | 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: e156be69fd1ef45e66b39a54b9b00ed5c65963195c05623b74dae5b297eefd11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d795c8f3e4a2c97f87b4e6377e79bef0278eff7254d267a519b87416afe8f87",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2014-11-06T14:21:27Z",
    "title_canon_sha256": "da1cca6d87fac21ec442336ea7b5a41a4a2d602a1c6b491ebf6dfcf654c34d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1624",
    "kind": "arxiv",
    "version": 3
  }
}