Pith Number

pith:NP35UAWP

pith:2023:NP35UAWPVQ24JQ4FGQ6FLSSIDD

not attested not anchored not stored refs pending

An elementary proof of the Selberg identity for Kloosterman sums

Ping Xi

arxiv:2306.16929 v1 · 2023-06-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NP35UAWPVQ24JQ4FGQ6FLSSIDD}

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.

Cited by

1 paper in Pith

Triple sums of Kloosterman sums and the discrepancy of modular inverses

Receipt and verification

First computed	2026-07-05T06:26:11.166819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf7da02cfac35c4c385343c55ca4818e1c7a2c918b030ff3a89cd307bed4671

Aliases

arxiv: 2306.16929 · arxiv_version: 2306.16929v1 · doi: 10.48550/arxiv.2306.16929 · pith_short_12: NP35UAWPVQ24 · pith_short_16: NP35UAWPVQ24JQ4F · pith_short_8: NP35UAWP

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/NP35UAWPVQ24JQ4FGQ6FLSSIDD \
  | 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: 6bf7da02cfac35c4c385343c55ca4818e1c7a2c918b030ff3a89cd307bed4671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4adb53035bb6005a9b6e17691e7b7fa37f27e98751a734b193c59143d0b3b7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-29T13:30:11Z",
    "title_canon_sha256": "f3403f51342e0bb8839eacd3a5b673d131bc948edcb8d214568ad0a98cec8ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.16929",
    "kind": "arxiv",
    "version": 1
  }
}