Pith Number

pith:R42ZDRGE

pith:2018:R42ZDRGEB4AAGNPCGY2YO3UGBK

not attested not anchored not stored refs pending

An Exact Upper Bound on the $L^p$ Lebesgue Constant and The $\infty$-R\'enyi Entropy Power Inequality for Integer Valued Random Variables

James Melbourne, Mokshay Madiman, Peng Xu

arxiv:1808.07732 v1 · 2018-08-23 · math.FA · cs.IT · math.IT · 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{R42ZDRGEB4AAGNPCGY2YO3UGBK}

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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	2026-05-18T00:07:24.423221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f3591c4c40f000335e23635876e860a9487e04aac392dd9e2eca6fa3c4b0b18

Aliases

arxiv: 1808.07732 · arxiv_version: 1808.07732v1 · doi: 10.48550/arxiv.1808.07732 · pith_short_12: R42ZDRGEB4AA · pith_short_16: R42ZDRGEB4AAGNPC · pith_short_8: R42ZDRGE

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/R42ZDRGEB4AAGNPCGY2YO3UGBK \
  | 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: 8f3591c4c40f000335e23635876e860a9487e04aac392dd9e2eca6fa3c4b0b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "828a6e958aea0a1a2b9d1d999f75ff38c549d30749b68081ba257a74a01292a9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-23T13:00:29Z",
    "title_canon_sha256": "8ff84954ec0d0b9b1e4db3ed10aaae2ebd14016a370a5ba23132c2cfdf19e4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07732",
    "kind": "arxiv",
    "version": 1
  }
}