Pith Number

pith:PZV4WQMV

pith:2011:PZV4WQMVFKGMM7BCCFSQGX5JO2

not attested not anchored not stored refs pending

An efficient deterministic test for Kloosterman sum zeros

Omran Ahmadi, Robert Granger

arxiv:1104.3882 v2 · 2011-04-19 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZV4WQMVFKGMM7BCCFSQGX5JO2}

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	2026-05-18T03:57:25.259801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6bcb41952a8cc67c221165035fa97681d959f3e4a216091a1fcb40ca91f162

Aliases

arxiv: 1104.3882 · arxiv_version: 1104.3882v2 · doi: 10.48550/arxiv.1104.3882 · pith_short_12: PZV4WQMVFKGM · pith_short_16: PZV4WQMVFKGMM7BC · pith_short_8: PZV4WQMV

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/PZV4WQMVFKGMM7BCCFSQGX5JO2 \
  | 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: 7e6bcb41952a8cc67c221165035fa97681d959f3e4a216091a1fcb40ca91f162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04978ad43b5c769bbc89e5272d2b8a53c23f6aa447d9df4e3226dcf34bfdaf1d",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-19T21:15:28Z",
    "title_canon_sha256": "b2bc24060a10f89747a475609a2f1e0fb9ad5020ae72bab0c107255c6a16695d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3882",
    "kind": "arxiv",
    "version": 2
  }
}