Pith Number

pith:2BM6P3PY

pith:2019:2BM6P3PYA2BLLIM2PER4JCRLHZ

not attested not anchored not stored refs pending

Stochastic Comparisons of Series and Parallel Systems with Topp-Leone Generated Family of Distributions

Amit Kumar Misra, Ruby Chanchal, Vaishali Gupta

arxiv:1908.05896 v1 · 2019-08-16 · math.ST · stat.AP · 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{2BM6P3PYA2BLLIM2PER4JCRLHZ}

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	2026-07-04T23:57:54.107327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d059e7edf80682b5a19a7923c48a2b3e5803844be41510ebda2bb3e4153b84f7

Aliases

arxiv: 1908.05896 · arxiv_version: 1908.05896v1 · doi: 10.48550/arxiv.1908.05896 · pith_short_12: 2BM6P3PYA2BL · pith_short_16: 2BM6P3PYA2BLLIM2 · pith_short_8: 2BM6P3PY

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/2BM6P3PYA2BLLIM2PER4JCRLHZ \
  | 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: d059e7edf80682b5a19a7923c48a2b3e5803844be41510ebda2bb3e4153b84f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f672680bf643ac76e69436dc907e20b154af44bd5cf500b30302d51034bddf",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-16T09:03:34Z",
    "title_canon_sha256": "072b3d3693ca2cc00330d9f0db4615cf449509db09708f52b15326160e4d8d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05896",
    "kind": "arxiv",
    "version": 1
  }
}