pith. sign in
Pith Number

pith:62A2IDN2

pith:2017:62A2IDN27YPLCCAWEZAXJ2IRZL
not attested not anchored not stored refs pending

When Fourth Moments Are Enough

Chris Jennings-Shaffer, Dane R. Skinner, Edward C. Waymire

arxiv:1711.07288 v1 · 2017-11-20 · math.PR · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{62A2IDN27YPLCCAWEZAXJ2IRZL}

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 2026-05-18T00:30:10.594106Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f681a40dbafe1eb10816264174e911cad63969ae41b3d4d2b9dc6acb5a26fb20

Aliases

arxiv: 1711.07288 · arxiv_version: 1711.07288v1 · doi: 10.48550/arxiv.1711.07288 · pith_short_12: 62A2IDN27YPL · pith_short_16: 62A2IDN27YPLCCAW · pith_short_8: 62A2IDN2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/62A2IDN27YPLCCAWEZAXJ2IRZL \
  | 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: f681a40dbafe1eb10816264174e911cad63969ae41b3d4d2b9dc6acb5a26fb20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1ac21fe366ec3457ab93978d3727eb6408ad21089d9a6cab8bde8510b28620e9",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-20T12:47:41Z",
    "title_canon_sha256": "d50a9f07783618039dcfeb83b7e2862b93eaceba94f66c57f5d1c43aa58ece10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07288",
    "kind": "arxiv",
    "version": 1
  }
}