Pith Number

pith:AF3EXOKZ

pith:2013:AF3EXOKZGKUY4VWF4JLV62RUJO

not attested not anchored not stored refs pending

Power moments of Kloosterman sums

Daqing Wan, Ke Gong, Willem Veys

arxiv:1306.4104 v2 · 2013-06-18 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF3EXOKZGKUY4VWF4JLV62RUJO}

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	2026-05-18T01:20:21.493889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01764bb95932a98e56c5e2575f6a344b976349bd414e10154502a4ffcfecf804

Aliases

arxiv: 1306.4104 · arxiv_version: 1306.4104v2 · doi: 10.48550/arxiv.1306.4104 · pith_short_12: AF3EXOKZGKUY · pith_short_16: AF3EXOKZGKUY4VWF · pith_short_8: AF3EXOKZ

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/AF3EXOKZGKUY4VWF4JLV62RUJO \
  | 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: 01764bb95932a98e56c5e2575f6a344b976349bd414e10154502a4ffcfecf804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f86be09589ccfea412dc782f16cf029ba52449c999e2f823b49fdfee6e3baa8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-18T08:42:11Z",
    "title_canon_sha256": "7706fc5c09514f5c0202da5e60d34fd0be5d25e0824ecad78bfc639d2b2f663a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4104",
    "kind": "arxiv",
    "version": 2
  }
}