Pith Number

pith:XSPMBLLJ

pith:2010:XSPMBLLJLDXVVGZFXGT45GRONY

not attested not anchored not stored refs pending

Stein's method and the multivariate CLT for traces of powers on the classical compact groups

Christian D\"obler, Michael Stolz

arxiv:1012.3730 v2 · 2010-12-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSPMBLLJLDXVVGZFXGT45GRONY}

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	2026-05-18T04:14:38.010582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9ec0ad6958ef5a9b25b9a7ce9a2e6e385b218f2757d3174de076e50a396bbf

Aliases

arxiv: 1012.3730 · arxiv_version: 1012.3730v2 · doi: 10.48550/arxiv.1012.3730 · pith_short_12: XSPMBLLJLDXV · pith_short_16: XSPMBLLJLDXVVGZF · pith_short_8: XSPMBLLJ

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/XSPMBLLJLDXVVGZFXGT45GRONY \
  | 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: bc9ec0ad6958ef5a9b25b9a7ce9a2e6e385b218f2757d3174de076e50a396bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5b47cb0bbd60b467e6512e0d7c0d0c094c237c126151cdedaf2b1e09ffccd4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-16T19:51:52Z",
    "title_canon_sha256": "0bc61db00a04af9a8aec95a690312b25e2f2809ca9ccd5599f24abe667c08e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3730",
    "kind": "arxiv",
    "version": 2
  }
}