Pith Number

pith:BI5YXUOI

pith:2010:BI5YXUOIRANWRHZ6B2LNZASDYD

not attested not anchored not stored refs pending

Central Limit Theorem for truncated heavy tailed Banach valued random vectors

Arijit Chakrabarty

arxiv:1003.2159 v2 · 2010-03-10 · 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{BI5YXUOIRANWRHZ6B2LNZASDYD}

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	2026-05-18T04:41:05.086430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a3b8bd1c8881b689f3e0e96dc8243c0da7b4808f1cf4b05f5fde8cc1e36b511

Aliases

arxiv: 1003.2159 · arxiv_version: 1003.2159v2 · doi: 10.48550/arxiv.1003.2159 · pith_short_12: BI5YXUOIRANW · pith_short_16: BI5YXUOIRANWRHZ6 · pith_short_8: BI5YXUOI

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/BI5YXUOIRANWRHZ6B2LNZASDYD \
  | 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: 0a3b8bd1c8881b689f3e0e96dc8243c0da7b4808f1cf4b05f5fde8cc1e36b511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ff34a8a844b69e73fadc827da491e3edc9a090a1cbcc9057753ab0fc1613bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-10T17:18:02Z",
    "title_canon_sha256": "f6364005b74e5458377d8711dc4436ac838823a822d8a68cff6ee382564dfee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2159",
    "kind": "arxiv",
    "version": 2
  }
}