Pith Number

pith:74SQL4CC

pith:2017:74SQL4CCMLAAJT5EAUFPZNIYXX

not attested not anchored not stored refs pending

Expressions for the Entropy of Binomial-Type Distributions

Mahdi Cheraghchi

arxiv:1708.06394 v4 · 2017-08-21 · cs.IT · math.IT · 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{74SQL4CCMLAAJT5EAUFPZNIYXX}

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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.

Cited by

4 papers in Pith

An approximate formula for the entropy of the negative binomial distribution

Entropy and mean multiplicity from dipole models in the high energy limit

Receipt and verification

First computed	2026-05-18T00:10:13.473091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff2505f04262c004cfa4050afcb518bdd86e31b513fa5d39a6021de7ff9ca38a

Aliases

arxiv: 1708.06394 · arxiv_version: 1708.06394v4 · doi: 10.48550/arxiv.1708.06394 · pith_short_12: 74SQL4CCMLAA · pith_short_16: 74SQL4CCMLAAJT5E · pith_short_8: 74SQL4CC

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/74SQL4CCMLAAJT5EAUFPZNIYXX \
  | 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: ff2505f04262c004cfa4050afcb518bdd86e31b513fa5d39a6021de7ff9ca38a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f486ac1121387023fc2724fba783d13108f1b1caf888277de732d13573d6c75",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-08-21T19:58:52Z",
    "title_canon_sha256": "0509381acf5deb17db92dcc09165d0d9ab98cb39394d6016cbd1f12a92be2554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06394",
    "kind": "arxiv",
    "version": 4
  }
}