Pith Number

pith:YQPXFYR2

pith:2024:YQPXFYR227D4YLEZR2WAKHG2J3

not attested not anchored not stored refs pending

Kloosterman sums on orthogonal groups

Catinca Mujdei

arxiv:2410.20569 v1 · 2024-10-27 · 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{YQPXFYR227D4YLEZR2WAKHG2J3}

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

Bounds for Kloosterman Sums for $\mathrm{GL}_n$

Receipt and verification

First computed	2026-07-05T09:26:46.846342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41f72e23ad7c7cc2c998eac051cda4ef2758974b1d92f4a08cb16dfdf8615cd

Aliases

arxiv: 2410.20569 · arxiv_version: 2410.20569v1 · doi: 10.48550/arxiv.2410.20569 · pith_short_12: YQPXFYR227D4 · pith_short_16: YQPXFYR227D4YLEZ · pith_short_8: YQPXFYR2

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/YQPXFYR227D4YLEZR2WAKHG2J3 \
  | 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: c41f72e23ad7c7cc2c998eac051cda4ef2758974b1d92f4a08cb16dfdf8615cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf0ed1c6baaa1205bf24fc4949b82fbfb5131f5b22d26bf0b9929899866e393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-27T19:45:25Z",
    "title_canon_sha256": "1047efd5bf96825f67fc6ef4d9ade8eeddc0f0559f34b56cce818c86d78f3608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20569",
    "kind": "arxiv",
    "version": 1
  }
}