Pith Number

pith:KNQSDDGA

pith:2005:KNQSDDGAQ3E4S4LBZTC7XVBD7V

not attested not anchored not stored refs pending

A Central Limit Theorem and Higher Order Results for the Angular Bispectrum

D. Marinucci

arxiv:math/0509430 v1 · 2005-09-19 · math.PR · astro-ph · 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{KNQSDDGAQ3E4S4LBZTC7XVBD7V}

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	2026-07-04T15:12:00.306614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5361218cc086c9c97161ccc5fbd423fd45e8fa255a0ca2cf5ddb2fa55e0c680e

Aliases

arxiv: math/0509430 · arxiv_version: math/0509430v1 · doi: 10.48550/arxiv.math/0509430 · pith_short_12: KNQSDDGAQ3E4 · pith_short_16: KNQSDDGAQ3E4S4LB · pith_short_8: KNQSDDGA

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/KNQSDDGAQ3E4S4LBZTC7XVBD7V \
  | 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: 5361218cc086c9c97161ccc5fbd423fd45e8fa255a0ca2cf5ddb2fa55e0c680e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0019e995e349ebbbd32ed7aff946bf18837c9d49a8631bda62dbdc2eebb562b5",
    "cross_cats_sorted": [
      "astro-ph",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-09-19T15:43:17Z",
    "title_canon_sha256": "19180f54227b8e64a27c7e1d1f7be4f87afb88d42129f927c5adcf6c37d9cbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509430",
    "kind": "arxiv",
    "version": 1
  }
}