Pith Number

pith:3GG545VN

pith:2018:3GG545VNFO4EKV7TXJC5JRGWDX

not attested not anchored not stored refs pending

Sums of Kloosterman sums over primes in an arithmetic progression

Alexander Dunn, Alexandru Zaharescu

arxiv:1801.05880 v2 · 2018-01-17 · 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{3GG545VNFO4EKV7TXJC5JRGWDX}

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	2026-05-18T00:14:00.431003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98dde76ad2bb84557f3ba45d4c4d61dd56fcd0860cd0c23c7bbe159f7a88e57

Aliases

arxiv: 1801.05880 · arxiv_version: 1801.05880v2 · doi: 10.48550/arxiv.1801.05880 · pith_short_12: 3GG545VNFO4E · pith_short_16: 3GG545VNFO4EKV7T · pith_short_8: 3GG545VN

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/3GG545VNFO4EKV7TXJC5JRGWDX \
  | 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: d98dde76ad2bb84557f3ba45d4c4d61dd56fcd0860cd0c23c7bbe159f7a88e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0402ce236dd8a34b48dfb42545e482c98ae37af8c7f3ce4ba2775f0abaa674f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-17T22:38:52Z",
    "title_canon_sha256": "5db238e257f5d189301549dc627da600eec33566c28c26efd0832225ad58a4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05880",
    "kind": "arxiv",
    "version": 2
  }
}