Pith Number

pith:5AFBXBZ4

pith:2019:5AFBXBZ4TOMK7ZCKX2KTVTMF2T

not attested not anchored not stored refs pending

Stochastic ordering results in parallel and series systems with Gumble distributed random variables

Nitin Gupta, Surojit Biswas

arxiv:1905.00425 v1 · 2019-05-01 · 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{5AFBXBZ4TOMK7ZCKX2KTVTMF2T}

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	2026-05-17T23:47:11.843205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80a1b873c9b98afe44abe953acd85d4e968f104f76ddec7ebef3ebd3461068f

Aliases

arxiv: 1905.00425 · arxiv_version: 1905.00425v1 · doi: 10.48550/arxiv.1905.00425 · pith_short_12: 5AFBXBZ4TOMK · pith_short_16: 5AFBXBZ4TOMK7ZCK · pith_short_8: 5AFBXBZ4

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/5AFBXBZ4TOMK7ZCKX2KTVTMF2T \
  | 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: e80a1b873c9b98afe44abe953acd85d4e968f104f76ddec7ebef3ebd3461068f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f556735c3d01fec638c7f81d0215f6f769c0e457726797c610066774a2fd327e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-05-01T17:46:03Z",
    "title_canon_sha256": "b1cbb4a593ff0dbe18c445bbe115a8f476c171f3d1ead0498368eeea4ec749f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00425",
    "kind": "arxiv",
    "version": 1
  }
}