Pith Number

pith:MJUM2XQN

pith:2018:MJUM2XQNMOH5ORUK7Y55JDVZZU

not attested not anchored not stored refs pending

Auxiliary information : the raking-ratio empirical process

Mickael Albertus, Philippe Berthet

arxiv:1803.06907 v2 · 2018-03-19 · 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{MJUM2XQNMOH5ORUK7Y55JDVZZU}

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	2026-05-17T23:56:41.433720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6268cd5e0d638fd7468afe3bd48eb9cd3c75ac278b840104e9586a85ef22928e

Aliases

arxiv: 1803.06907 · arxiv_version: 1803.06907v2 · doi: 10.48550/arxiv.1803.06907 · pith_short_12: MJUM2XQNMOH5 · pith_short_16: MJUM2XQNMOH5ORUK · pith_short_8: MJUM2XQN

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/MJUM2XQNMOH5ORUK7Y55JDVZZU \
  | 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: 6268cd5e0d638fd7468afe3bd48eb9cd3c75ac278b840104e9586a85ef22928e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a87ad157e13fea7a74db6c42e35e0e7931cbc695072af4a9e21c798ece75c9f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-03-19T13:38:30Z",
    "title_canon_sha256": "b7673a8357d2c89bc1a04fb353029fcecadcb051bd4e3db3bb7181e905aa26fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06907",
    "kind": "arxiv",
    "version": 2
  }
}