Pith Number

pith:HT4HBVX4

pith:2012:HT4HBVX42OJ6P4KNDKAAJESRHJ

not attested not anchored not stored refs pending

Central Limit Theorem with Exchangeable Summands and Mixtures of Stable Laws as Limits

Eugenio Regazzini, Lucia Ladelli, Sandra Fortini

arxiv:1204.4357 v1 · 2012-04-19 · 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{HT4HBVX42OJ6P4KNDKAAJESRHJ}

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	2026-05-18T03:57:27.697775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf870d6fcd393e7f14d1a800492513a65d95fdd3743900256aebd7bea4804d5

Aliases

arxiv: 1204.4357 · arxiv_version: 1204.4357v1 · doi: 10.48550/arxiv.1204.4357 · pith_short_12: HT4HBVX42OJ6 · pith_short_16: HT4HBVX42OJ6P4KN · pith_short_8: HT4HBVX4

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/HT4HBVX42OJ6P4KNDKAAJESRHJ \
  | 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: 3cf870d6fcd393e7f14d1a800492513a65d95fdd3743900256aebd7bea4804d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e6b6d6b151577c1d15deb6c3caa216f2bf8e81361007a7561598b73a9d934c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-19T14:27:36Z",
    "title_canon_sha256": "060c7d150b9b5c7d699dfdfc9bdab0310170917696d31c5b7a46cfb61943020b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4357",
    "kind": "arxiv",
    "version": 1
  }
}