Pith Number

pith:EHYVRKGX

pith:2018:EHYVRKGXAY2STNZCB46BG5JIE6

not attested not anchored not stored refs pending

Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables

Eugeny Ostrovsky, Leonid Sirota, Maria Rosaria Formica, Yurii Vasilovich Kozachenko

arxiv:1809.04719 v1 · 2018-09-13 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHYVRKGXAY2STNZCB46BG5JIE6}

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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	2026-05-18T00:05:49.844234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f158a8d7063529b7220f3c137528279b1a242f02a171b1e6365b4f83c3b2a1

Aliases

arxiv: 1809.04719 · arxiv_version: 1809.04719v1 · doi: 10.48550/arxiv.1809.04719 · pith_short_12: EHYVRKGXAY2S · pith_short_16: EHYVRKGXAY2STNZC · pith_short_8: EHYVRKGX

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/EHYVRKGXAY2STNZCB46BG5JIE6 \
  | 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: 21f158a8d7063529b7220f3c137528279b1a242f02a171b1e6365b4f83c3b2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa6bafe2fa843fb638e0f17b4ea1ad0721514e50bb747b413320eb25f90253c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-13T00:27:12Z",
    "title_canon_sha256": "58f6b8c514eb5629fbfd7d9745a20883c4a312b5593e2b2efe2e5f940908f844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04719",
    "kind": "arxiv",
    "version": 1
  }
}