Pith Number

pith:5C533RFR

pith:2016:5C533RFR5AVHJMSM5EA37RDYOP

not attested not anchored not stored refs pending

Exponential Order Statistics, the Basel problem and Combinatorial Identities

A. Zeleke, P. Vellaisamy

arxiv:1604.02644 v2 · 2016-04-10 · 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{5C533RFR5AVHJMSM5EA37RDYOP}

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	2026-05-18T00:35:14.072422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bbbdc4b1e82a74b24ce901bfc47873cb80fc286fe2c29583c6d311c7e42b69

Aliases

arxiv: 1604.02644 · arxiv_version: 1604.02644v2 · doi: 10.48550/arxiv.1604.02644 · pith_short_12: 5C533RFR5AVH · pith_short_16: 5C533RFR5AVHJMSM · pith_short_8: 5C533RFR

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/5C533RFR5AVHJMSM5EA37RDYOP \
  | 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: e8bbbdc4b1e82a74b24ce901bfc47873cb80fc286fe2c29583c6d311c7e42b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928c814a298d94590dc7eea165ff54859e343c58b3f0fbecc4fb4aaf80adf4cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-10T06:44:42Z",
    "title_canon_sha256": "bc87d7e8b78d1af5240fd72e878749960da6142ce2ce80f9aacfffacd1831bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02644",
    "kind": "arxiv",
    "version": 2
  }
}