Pith Number

pith:KQZTN7U4

pith:2011:KQZTN7U4GFVTAKXJBBYCI2QMZB

not attested not anchored not stored refs pending

Asymptotic behaviour of the distribution density of the fractional L\'evy motion

Alexei Kulik, Victoria Knopova

arxiv:1112.0497 v3 · 2011-12-02 · 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{KQZTN7U4GFVTAKXJBBYCI2QMZB}

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	2026-05-18T03:16:30.371980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543336fe9c316b302ae90870246a0cc84dbfd2f96fab85e8572f60ebc4576b7e

Aliases

arxiv: 1112.0497 · arxiv_version: 1112.0497v3 · doi: 10.48550/arxiv.1112.0497 · pith_short_12: KQZTN7U4GFVT · pith_short_16: KQZTN7U4GFVTAKXJ · pith_short_8: KQZTN7U4

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/KQZTN7U4GFVTAKXJBBYCI2QMZB \
  | 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: 543336fe9c316b302ae90870246a0cc84dbfd2f96fab85e8572f60ebc4576b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e71648f2ac812f3e360ca22be45d7d81b08560290dfb5271aff9b3d3c892c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-02T16:22:02Z",
    "title_canon_sha256": "98e94fe0843623c4c83694a9d75253562eb6c727e42bb3f86cb5bfccca628b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0497",
    "kind": "arxiv",
    "version": 3
  }
}