Pith Number

pith:MSV6OQSJ

pith:2019:MSV6OQSJUERAIM2OBEJPOFUIMZ

not attested not anchored not stored refs pending

A Closed Form Approximation of Moments of New Generalization of Negative Binomial Distribution

N. Balakrishnan, Ram C. Tripathi, Sudip Roy

arxiv:1904.12459 v1 · 2019-04-29 · math.ST · stat.ME · 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{MSV6OQSJUERAIM2OBEJPOFUIMZ}

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	2026-05-17T23:47:35.118708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64abe74249a12204334e0912f71688664aea4e490e9f6777bd16f76cb5cf5f79

Aliases

arxiv: 1904.12459 · arxiv_version: 1904.12459v1 · doi: 10.48550/arxiv.1904.12459 · pith_short_12: MSV6OQSJUERA · pith_short_16: MSV6OQSJUERAIM2O · pith_short_8: MSV6OQSJ

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/MSV6OQSJUERAIM2OBEJPOFUIMZ \
  | 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: 64abe74249a12204334e0912f71688664aea4e490e9f6777bd16f76cb5cf5f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca8e2e4e80baafbd803852db37e1ff844a7f6ce45e36b71fa450bffbf92ab44",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-04-29T06:03:27Z",
    "title_canon_sha256": "c53a97b0ff82aa9a28c66d293e6d07e2f2a4c947865c1fbe6e3662af8da368f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12459",
    "kind": "arxiv",
    "version": 1
  }
}