Pith Number

pith:MCTZMMQR

pith:2015:MCTZMMQR4JLKWFCIK5CYLWPOAR

not attested not anchored not stored refs pending

Singularity analysis for heavy-tailed random variables

Daniel Ueltschi, Nicholas M. Ercolani, Sabine Jansen

arxiv:1509.05199 v3 · 2015-09-17 · math.PR · math.CO · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCTZMMQR4JLKWFCIK5CYLWPOAR}

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	2026-05-17T23:54:17.107756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a7963211e256ab1448574585d9ee04552e469bf830e12b802072d193304a9a

Aliases

arxiv: 1509.05199 · arxiv_version: 1509.05199v3 · doi: 10.48550/arxiv.1509.05199 · pith_short_12: MCTZMMQR4JLK · pith_short_16: MCTZMMQR4JLKWFCI · pith_short_8: MCTZMMQR

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/MCTZMMQR4JLKWFCIK5CYLWPOAR \
  | 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: 60a7963211e256ab1448574585d9ee04552e469bf830e12b802072d193304a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435dd244ce71438daadb6e03af5ddfe68f4989e5bb72193ecb75eadc098d5660",
    "cross_cats_sorted": [
      "math.CO",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-17T10:36:14Z",
    "title_canon_sha256": "7060122d5819a404bfa066fba19e150528863ae03a2d7545431eb834bccf9a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05199",
    "kind": "arxiv",
    "version": 3
  }
}