Pith Number

pith:52CCGDSB

pith:2026:52CCGDSB3DD36C4IA5FPWGLBTG

not attested not anchored not stored refs pending

Bessel Distributions and Kloosterman Sums

Jingsong Chai, Li Cai, Yadi Liu

arxiv:2606.29852 v1 · 2026-06-29 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52CCGDSB3DD36C4IA5FPWGLBTG}

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	2026-06-30T02:17:38.147756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee84230e41d8c7bf0b88074afb196199b6c5bc1410f77e4ffe20e9b4f5781d53

Aliases

arxiv: 2606.29852 · arxiv_version: 2606.29852v1 · doi: 10.48550/arxiv.2606.29852 · pith_short_12: 52CCGDSB3DD3 · pith_short_16: 52CCGDSB3DD36C4I · pith_short_8: 52CCGDSB

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/52CCGDSB3DD36C4IA5FPWGLBTG \
  | 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: ee84230e41d8c7bf0b88074afb196199b6c5bc1410f77e4ffe20e9b4f5781d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c459f38b52d3887a930bf3b7f8720b130fa065f4429ed5dfc299092ac64809b0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T06:41:49Z",
    "title_canon_sha256": "b2b1d7246c2714db2fc4eb28c957f7b335c78c69420487676872dcd5b861157d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29852",
    "kind": "arxiv",
    "version": 1
  }
}