Pith Number

pith:2GRPEIWT

pith:2014:2GRPEIWTOZV3IZVYIKLBU6FLDA

not attested not anchored not stored refs pending

Generalisation of Hajek s stochastic comparison results to stochastic sums

Joerg Kampen

arxiv:1408.2992 v1 · 2014-08-13 · 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{2GRPEIWTOZV3IZVYIKLBU6FLDA}

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	2026-05-18T02:45:15.341563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a2f222d3766bb466b842961a78ab18064226124e76546b40201ef7966a1ef8

Aliases

arxiv: 1408.2992 · arxiv_version: 1408.2992v1 · doi: 10.48550/arxiv.1408.2992 · pith_short_12: 2GRPEIWTOZV3 · pith_short_16: 2GRPEIWTOZV3IZVY · pith_short_8: 2GRPEIWT

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/2GRPEIWTOZV3IZVYIKLBU6FLDA \
  | 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: d1a2f222d3766bb466b842961a78ab18064226124e76546b40201ef7966a1ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f46159b05f586bf416c269ebfb36bdc2e9e7ab232092269bfdbfb8c707b4f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-13T12:20:11Z",
    "title_canon_sha256": "d078118639aac7509bb8b1e340f0cf391f1f33db54b49a2bd3418c7688dd4ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2992",
    "kind": "arxiv",
    "version": 1
  }
}