Pith Number

pith:E5KZPXEF

pith:2018:E5KZPXEF363J7B3V4SLQNA77JQ

not attested not anchored not stored refs pending

Central limit theorems from the roots of probability generating functions

Julian Sahasrabudhe, Marcus Michelen

arxiv:1804.07696 v2 · 2018-04-20 · math.PR · math.CA · 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{E5KZPXEF363J7B3V4SLQNA77JQ}

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	2026-05-18T00:13:36.868370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275597dc85dfb69f8775e4970683ff4c3730c50a707dc4ad1870e7f843012d9a

Aliases

arxiv: 1804.07696 · arxiv_version: 1804.07696v2 · doi: 10.48550/arxiv.1804.07696 · pith_short_12: E5KZPXEF363J · pith_short_16: E5KZPXEF363J7B3V · pith_short_8: E5KZPXEF

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/E5KZPXEF363J7B3V4SLQNA77JQ \
  | 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: 275597dc85dfb69f8775e4970683ff4c3730c50a707dc4ad1870e7f843012d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f88967cb2cc90c180e653ad9cb4607d62907674d9dae18ba798e266ef75e5a",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-20T15:56:00Z",
    "title_canon_sha256": "979c78c23b1ce6b68dd09b0b8ba42fc68375554cf4f3aa981faf325232cce7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07696",
    "kind": "arxiv",
    "version": 2
  }
}