Pith Number

pith:7DXFWLP6

pith:2002:7DXFWLP6ZMYB7GAF4WOOHVFCYM

not attested not anchored not stored refs pending

Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups

C.P. Hughes, Z. Rudnick

arxiv:math/0206289 v1 · 2002-06-27 · 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{7DXFWLP6ZMYB7GAF4WOOHVFCYM}

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	2026-05-18T01:05:29.483753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ee5b2dfecb301f9805e59ce3d4a2c314a8231cd36da21af5ceabace0d427c3

Aliases

arxiv: math/0206289 · arxiv_version: math/0206289v1 · doi: 10.48550/arxiv.math/0206289 · pith_short_12: 7DXFWLP6ZMYB · pith_short_16: 7DXFWLP6ZMYB7GAF · pith_short_8: 7DXFWLP6

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/7DXFWLP6ZMYB7GAF4WOOHVFCYM \
  | 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: f8ee5b2dfecb301f9805e59ce3d4a2c314a8231cd36da21af5ceabace0d427c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24046a41db462940ec9ffc75c8ef69b1c645233d7f9fd8d28085e19a5f3c66b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-06-27T10:50:06Z",
    "title_canon_sha256": "df5ee1140fd8e4331f9263a57f4f61b95e11ca9cdbc4100ab19b0561a61bffba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206289",
    "kind": "arxiv",
    "version": 1
  }
}