Pith Number

pith:UQKJSJI6

pith:2016:UQKJSJI6QAQLJVECOQT4VFFA5F

not attested not anchored not stored refs pending

Chebyshev Inequalities for Products of Random Variables

Daniel Kuhn, Napat Rujeerapaiboon, Wolfram Wiesemann

arxiv:1605.05487 v1 · 2016-05-18 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQKJSJI6QAQLJVECOQT4VFFA5F}

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	2026-05-18T01:14:34.801792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41499251e8020b4d4827427ca94a0e977ee6d8bc015e0612f03eee7854f8248

Aliases

arxiv: 1605.05487 · arxiv_version: 1605.05487v1 · doi: 10.48550/arxiv.1605.05487 · pith_short_12: UQKJSJI6QAQL · pith_short_16: UQKJSJI6QAQLJVEC · pith_short_8: UQKJSJI6

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/UQKJSJI6QAQLJVECOQT4VFFA5F \
  | 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: a41499251e8020b4d4827427ca94a0e977ee6d8bc015e0612f03eee7854f8248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39168e16dd1d163b1b086987c45d74b9c0d95b27a17a4b72c8b1ce908b00c4c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-18T09:17:02Z",
    "title_canon_sha256": "133456aeb058a0c526f3b3b6e1c8a6f1d0995d04b7fb5e1f02f4524000a9f09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05487",
    "kind": "arxiv",
    "version": 1
  }
}