Pith Number

pith:WBEFH4MW

pith:2012:WBEFH4MWPYYGGQBGRPWBEOMDMW

not attested not anchored not stored refs pending

Concentration inequalities for order statistics

Maud Thomas, Stephane Boucheron

arxiv:1207.7209 v1 · 2012-07-31 · math.PR · 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{WBEFH4MWPYYGGQBGRPWBEOMDMW}

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	2026-05-18T03:41:41.919820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04853f1967e306340268bec12398365aafb687f3fc05965f47bddbf51b2e192

Aliases

arxiv: 1207.7209 · arxiv_version: 1207.7209v1 · doi: 10.48550/arxiv.1207.7209 · pith_short_12: WBEFH4MWPYYG · pith_short_16: WBEFH4MWPYYGGQBG · pith_short_8: WBEFH4MW

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/WBEFH4MWPYYGGQBGRPWBEOMDMW \
  | 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: b04853f1967e306340268bec12398365aafb687f3fc05965f47bddbf51b2e192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238c24256706a0cbb4dac30b756395a99aa6b08c1b5ec6d9399c0fdbd2e0d7d5",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-31T10:38:18Z",
    "title_canon_sha256": "52c85b713ef38a19d07fbba10f4b650f6734b18dca329842540ba78cb7227311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7209",
    "kind": "arxiv",
    "version": 1
  }
}