Pith Number

pith:A3ELK6KH

pith:2012:A3ELK6KHZJJIT4PGM54XZOEK4F

not attested not anchored not stored refs pending

Local Malliavin Calculus for L\'evy Processes and Applications

Frederic Utzet, Jorge A. Le\'on, Josep L. Sol\'e, Josep Vives

arxiv:1210.1156 v1 · 2012-10-03 · 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{A3ELK6KHZJJIT4PGM54XZOEK4F}

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	2026-05-18T03:44:05.379629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c8b57947ca5289f1e667797cb88ae15823eb6f8da28133580cd22a3b22bdcb

Aliases

arxiv: 1210.1156 · arxiv_version: 1210.1156v1 · doi: 10.48550/arxiv.1210.1156 · pith_short_12: A3ELK6KHZJJI · pith_short_16: A3ELK6KHZJJIT4PG · pith_short_8: A3ELK6KH

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/A3ELK6KHZJJIT4PGM54XZOEK4F \
  | 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: 06c8b57947ca5289f1e667797cb88ae15823eb6f8da28133580cd22a3b22bdcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b752b4711578dc83a5a26c7d2e610eee18401dc5061f9d7deec37bdf6f6a0b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-03T15:51:49Z",
    "title_canon_sha256": "9c6ecef948d7df5f66017012a3781abd248585dc706e4d23371cea26511009e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1156",
    "kind": "arxiv",
    "version": 1
  }
}