Pith Number

pith:JGBY7II4

pith:2012:JGBY7II4AXHJQR3ATYJHCCJR3C

not attested not anchored not stored refs pending

A note on Malliavin fractional smoothness for L\'evy processes and approximation

Christel Geiss, Eija Laukkarinen, Stefan Geiss

arxiv:1201.0389 v1 · 2012-01-01 · 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{JGBY7II4AXHJQR3ATYJHCCJR3C}

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	2026-05-18T04:05:17.692836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49838fa11c05ce9847609e12710931d8b28266564eaffd8b7d2fe570fcd9dfa9

Aliases

arxiv: 1201.0389 · arxiv_version: 1201.0389v1 · doi: 10.48550/arxiv.1201.0389 · pith_short_12: JGBY7II4AXHJ · pith_short_16: JGBY7II4AXHJQR3A · pith_short_8: JGBY7II4

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/JGBY7II4AXHJQR3ATYJHCCJR3C \
  | 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: 49838fa11c05ce9847609e12710931d8b28266564eaffd8b7d2fe570fcd9dfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a644c43c200cf7a85fa2548925a516f742e8ac2c56ab838ee1b4bd824373d6c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-01T21:51:54Z",
    "title_canon_sha256": "25f06239e7575111ae8b2e95e9d7106324e9fd3956b1843992f8dff9a2e2f593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0389",
    "kind": "arxiv",
    "version": 1
  }
}