Pith Number

pith:Q2IZ3USX

pith:2019:Q2IZ3USXUIVAAKOPYXTC4VOEAE

not attested not anchored not stored refs pending

The H\'ajek-R\'enyi-Chow maximal inequality and a strong law of large numbers in Riesz spaces

Bruce A. Watson, David F. Rodda, Wen-Chi Kuo

arxiv:1908.09012 v1 · 2019-08-23 · math.FA · 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{Q2IZ3USXUIVAAKOPYXTC4VOEAE}

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	2026-07-04T23:59:35.978918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86919dd257a22a0029cfc5e62e55c4010604358fb016901146e745946a2a83d4

Aliases

arxiv: 1908.09012 · arxiv_version: 1908.09012v1 · doi: 10.48550/arxiv.1908.09012 · pith_short_12: Q2IZ3USXUIVA · pith_short_16: Q2IZ3USXUIVAAKOP · pith_short_8: Q2IZ3USX

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/Q2IZ3USXUIVAAKOPYXTC4VOEAE \
  | 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: 86919dd257a22a0029cfc5e62e55c4010604358fb016901146e745946a2a83d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269c90e0f0d8814592cef5f8a53769915e1efdadd206c3a0b8530b1387f01839",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-23T19:41:18Z",
    "title_canon_sha256": "e1315f4cd8d87cd046e98a6be750f8f2f7e1e4b1d02e28016a9e1dc70ae2979d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09012",
    "kind": "arxiv",
    "version": 1
  }
}