Pith Number

pith:55ONGU7H

pith:2013:55ONGU7H2EHHE3QYUX6SVEOKRP

not attested not anchored not stored refs pending

On Hodges and Lehmann's "$6/\pi$ result"

Marc Hallin, Thomas Verdebout, Yvik Swan

arxiv:1304.1390 v4 · 2013-04-04 · 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{55ONGU7H2EHHE3QYUX6SVEOKRP}

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	2026-05-18T03:25:15.717582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5cd353e7d10e726e18a5fd2a91ca8be0e23a751df6a87036e6aa436179b84e

Aliases

arxiv: 1304.1390 · arxiv_version: 1304.1390v4 · doi: 10.48550/arxiv.1304.1390 · pith_short_12: 55ONGU7H2EHH · pith_short_16: 55ONGU7H2EHHE3QY · pith_short_8: 55ONGU7H

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/55ONGU7H2EHHE3QYUX6SVEOKRP \
  | 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: ef5cd353e7d10e726e18a5fd2a91ca8be0e23a751df6a87036e6aa436179b84e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76da3f99d4cd77dbb248684bae5ca43e842e82277d5fb32c2090cfebbb72bb3a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-04-04T15:04:57Z",
    "title_canon_sha256": "133008776c66d21ecff0cbc0fe39401d8b0046f32081e55c274cdaacb7d11073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1390",
    "kind": "arxiv",
    "version": 4
  }
}