Pith Number

pith:5CFGSAGU

pith:2019:5CFGSAGUQBRVSEH7FDHRJVITJQ

not attested not anchored not stored refs pending

Some remarks on the direct calculation of Probabilities in Urn Schemes

Azam A.Imomov, Yorqin Khodjaev

arxiv:1908.07184 v1 · 2019-08-20 · 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{5CFGSAGUQBRVSEH7FDHRJVITJQ}

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	2026-07-04T23:58:31.655739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88a6900d480635910ff28cf14d5134c16c9cc7f6e5202a3362dbdc212d0a07b

Aliases

arxiv: 1908.07184 · arxiv_version: 1908.07184v1 · doi: 10.48550/arxiv.1908.07184 · pith_short_12: 5CFGSAGUQBRV · pith_short_16: 5CFGSAGUQBRVSEH7 · pith_short_8: 5CFGSAGU

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/5CFGSAGUQBRVSEH7FDHRJVITJQ \
  | 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: e88a6900d480635910ff28cf14d5134c16c9cc7f6e5202a3362dbdc212d0a07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43423b3af93736e2c5934173c2976ad99268183607d5c45b93d9f5186ab08f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-20T06:28:03Z",
    "title_canon_sha256": "068117895b17551d829616d0cbba5ff486e51f2fc8a5568c4778a6b553734e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07184",
    "kind": "arxiv",
    "version": 1
  }
}