Pith Number

pith:CT27S5V5

pith:2012:CT27S5V5L35X3TAYN7SQHSPZVD

not attested not anchored not stored refs pending

Uniform oscillatory behavior of spherical functions of $GL_n/U_n$ at the identity and a central limit theorem

Michael Voit

arxiv:1205.4866 v1 · 2012-05-22 · math.CA · 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{CT27S5V5L35X3TAYN7SQHSPZVD}

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	2026-05-18T03:55:11.472620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f5f976bd5efb7dcc186fe503c9f9a8edfc5ca3947b96a1a5168779a8a8aecd

Aliases

arxiv: 1205.4866 · arxiv_version: 1205.4866v1 · doi: 10.48550/arxiv.1205.4866 · pith_short_12: CT27S5V5L35X · pith_short_16: CT27S5V5L35X3TAY · pith_short_8: CT27S5V5

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/CT27S5V5L35X3TAYN7SQHSPZVD \
  | 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: 14f5f976bd5efb7dcc186fe503c9f9a8edfc5ca3947b96a1a5168779a8a8aecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b107a835f27362b56893732d748a51a1982cd68e13979b3d62c47fde2318a0c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-22T10:12:42Z",
    "title_canon_sha256": "6220d30ea911cb9a8a02de2dacece367e370f56515d29b3eff1c4ddd0d1533cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4866",
    "kind": "arxiv",
    "version": 1
  }
}