Pith Number

pith:FZNBXBQY

pith:2017:FZNBXBQYY3OTGDJOEFLQW4HUEY

not attested not anchored not stored refs pending

Limit theorems for the Multiplicative Binomial Distribution (MBD)

Francesca Fortunato

arxiv:1712.04730 v2 · 2017-12-13 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZNBXBQYY3OTGDJOEFLQW4HUEY}

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	2026-05-18T00:22:44.318526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5a1b8618c6dd330d2e21570b70f426021f24f4270ebb64967527acc24918b1

Aliases

arxiv: 1712.04730 · arxiv_version: 1712.04730v2 · doi: 10.48550/arxiv.1712.04730 · pith_short_12: FZNBXBQYY3OT · pith_short_16: FZNBXBQYY3OTGDJO · pith_short_8: FZNBXBQY

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/FZNBXBQYY3OTGDJOEFLQW4HUEY \
  | 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: 2e5a1b8618c6dd330d2e21570b70f426021f24f4270ebb64967527acc24918b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583d993cea00140499e2dd7644cd5e573e460aa809d115076ed84b24e318dade",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-12-13T12:19:36Z",
    "title_canon_sha256": "16d6658ea1ee0c789d75e7ca8bda01e86827e7f761464b73a79397452acfadbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04730",
    "kind": "arxiv",
    "version": 2
  }
}