Pith Number

pith:XUB3YF7F

pith:2009:XUB3YF7F6GZ6TT3PV2JFSK3JUV

not attested not anchored not stored refs pending

$L^p$ bounds for a central limit theorem with involutions

Subhankar Ghosh

arxiv:0905.1150 v3 · 2009-05-08 · 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{XUB3YF7F6GZ6TT3PV2JFSK3JUV}

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	2026-05-18T04:34:38.197084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd03bc17e5f1b3e9cf6fae92592b69a5545e628bda51050a95e0525b7f77ac74

Aliases

arxiv: 0905.1150 · arxiv_version: 0905.1150v3 · doi: 10.48550/arxiv.0905.1150 · pith_short_12: XUB3YF7F6GZ6 · pith_short_16: XUB3YF7F6GZ6TT3P · pith_short_8: XUB3YF7F

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/XUB3YF7F6GZ6TT3PV2JFSK3JUV \
  | 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: bd03bc17e5f1b3e9cf6fae92592b69a5545e628bda51050a95e0525b7f77ac74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8347f92d01f50c03c98a4eb16575964879cac21332640bb32eda7df29712b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-08T00:08:34Z",
    "title_canon_sha256": "06eefbb5c7244f1a900be2997bb970dba839b97a48446ed61c3b9648da7b2671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1150",
    "kind": "arxiv",
    "version": 3
  }
}