Pith Number

pith:DQO2A3VS

pith:2018:DQO2A3VSOJQDMXQXLDHOWVBIPH

not attested not anchored not stored refs pending

Gram Charlier and Edgeworth expansion for sample variance

Eric Benhamou

arxiv:1809.06668 v1 · 2018-09-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQO2A3VSOJQDMXQXLDHOWVBIPH}

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	2026-05-18T00:05:24.998437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c1da06eb27260365e1758ceeb542879cfeb676ee6a14b56845f5461b0fe2dee

Aliases

arxiv: 1809.06668 · arxiv_version: 1809.06668v1 · doi: 10.48550/arxiv.1809.06668 · pith_short_12: DQO2A3VSOJQD · pith_short_16: DQO2A3VSOJQDMXQX · pith_short_8: DQO2A3VS

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/DQO2A3VSOJQDMXQXLDHOWVBIPH \
  | 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: 1c1da06eb27260365e1758ceeb542879cfeb676ee6a14b56845f5461b0fe2dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade0ea89a3ed71d051f1dcd8223ee125c136cc594c501b74a37f918d22454fa2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-09-18T12:26:13Z",
    "title_canon_sha256": "73879130238d08083a9990587a5be4e2dba8922944ad0c4f87f0a3562b82e999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06668",
    "kind": "arxiv",
    "version": 1
  }
}