Pith Number

pith:EILXAMIQ

pith:2015:EILXAMIQCLFEIR3RNFKY6SZX3B

not attested not anchored not stored refs pending

Two-colour balanced affine urn models with multiple drawings I: central limit theorems

Hosam M. Mahmoud, Markus Kuba

arxiv:1503.09069 v1 · 2015-03-31 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EILXAMIQCLFEIR3RNFKY6SZX3B}

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	2026-05-18T02:19:51.469341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221770311012ca44477169558f4b37d86ee724825716dcd3ff5a069243a784b1

Aliases

arxiv: 1503.09069 · arxiv_version: 1503.09069v1 · doi: 10.48550/arxiv.1503.09069 · pith_short_12: EILXAMIQCLFE · pith_short_16: EILXAMIQCLFEIR3R · pith_short_8: EILXAMIQ

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/EILXAMIQCLFEIR3RNFKY6SZX3B \
  | 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: 221770311012ca44477169558f4b37d86ee724825716dcd3ff5a069243a784b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ad8b689d3bda1086a15a1cd7b32b7324d21bb4f829eaf7c907eeed7530ccbb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-31T14:45:26Z",
    "title_canon_sha256": "3e45254c29a38449ac64b2e51fb199699955030a5ca9dbfda9af3b916f5f088a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09069",
    "kind": "arxiv",
    "version": 1
  }
}