Pith Number

pith:Q2LXWAJX

pith:2019:Q2LXWAJXPT5FEYKTEG4JLPFKG3

not attested not anchored not stored refs pending

Double Sums of Kloosterman Sums in Finite Fields

Igor E. Shparlinski, Simon Macourt

arxiv:1903.10070 v1 · 2019-03-24 · 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{Q2LXWAJXPT5FEYKTEG4JLPFKG3}

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	2026-05-17T23:50:33.005390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86977b01377cfa52615321b895bcaa36da9d6108061d07b4a03b8df87ea85837

Aliases

arxiv: 1903.10070 · arxiv_version: 1903.10070v1 · doi: 10.48550/arxiv.1903.10070 · pith_short_12: Q2LXWAJXPT5F · pith_short_16: Q2LXWAJXPT5FEYKT · pith_short_8: Q2LXWAJX

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/Q2LXWAJXPT5FEYKTEG4JLPFKG3 \
  | 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: 86977b01377cfa52615321b895bcaa36da9d6108061d07b4a03b8df87ea85837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f278f40b55adb1055b7e7566ec12d02236a503c1e1b4b024084213f08d2a01ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-24T22:34:49Z",
    "title_canon_sha256": "d630a4b2285213d76e45a126b5d79a10cb4195283cd279b8154c4926324ed89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10070",
    "kind": "arxiv",
    "version": 1
  }
}