Pith Number

pith:PDZKVGA6

pith:2012:PDZKVGA6ZRGPKPBIS255ZFJFY2

not attested not anchored not stored refs pending

On the Maximum of Random Variables on Product Spaces

Joscha Prochno, Stiene Riemer

arxiv:1203.3788 v1 · 2012-03-16 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDZKVGA6ZRGPKPBIS255ZFJFY2}

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	2026-05-18T03:59:49.904488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f2aa981ecc4cf53c2896bbdc9525c69c99ff062ff9f74217802b8f79641950

Aliases

arxiv: 1203.3788 · arxiv_version: 1203.3788v1 · doi: 10.48550/arxiv.1203.3788 · pith_short_12: PDZKVGA6ZRGP · pith_short_16: PDZKVGA6ZRGPKPBI · pith_short_8: PDZKVGA6

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/PDZKVGA6ZRGPKPBIS255ZFJFY2 \
  | 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: 78f2aa981ecc4cf53c2896bbdc9525c69c99ff062ff9f74217802b8f79641950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e073040b15fc0f9093bdc6e6009bebc273a3589eb909b894e71bfd4ae6147061",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-16T19:08:59Z",
    "title_canon_sha256": "e754007fa36698ab761bc64984acd52a6a0226f7b12096bab47038cce09a830b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3788",
    "kind": "arxiv",
    "version": 1
  }
}