Pith Number

pith:3ZVHBNZX

pith:2026:3ZVHBNZXB3IGWN5UNCG4V5ATOE

not attested not anchored not stored refs pending

On the L{\'e}vy concentration function of Gaussian quadratic forms with applications to second order U-statistics

Abhimanyu Choudhary, Arun Kumar Kuchibhotla

arxiv:2606.25441 v1 · 2026-06-24 · math.PR · 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{3ZVHBNZXB3IGWN5UNCG4V5ATOE}

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	2026-06-25T01:18:05.403850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6a70b7370ed06b37b4688dcaf4137122a0895cc9b7976d4e3c2c17ee51d897

Aliases

arxiv: 2606.25441 · arxiv_version: 2606.25441v1 · doi: 10.48550/arxiv.2606.25441 · pith_short_12: 3ZVHBNZXB3IG · pith_short_16: 3ZVHBNZXB3IGWN5U · pith_short_8: 3ZVHBNZX

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/3ZVHBNZXB3IGWN5UNCG4V5ATOE \
  | 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: de6a70b7370ed06b37b4688dcaf4137122a0895cc9b7976d4e3c2c17ee51d897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70433eebbfb96534a78ac485cab0d498757bbbbb97a0dff15cb8fbba66ed2a29",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-24T06:09:03Z",
    "title_canon_sha256": "6eacecc9ed8e2ad2eb5104f73d11134fc2f540008e732b852fd272a4e5a14c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25441",
    "kind": "arxiv",
    "version": 1
  }
}