Pith Number

pith:GY7N4ECA

pith:2018:GY7N4ECACMBVBBCBVXNEVZYZYQ

not attested not anchored not stored refs pending

Sums of Kloosterman sums in the prime geodesic theorem

Dmitry Frolenkov, Olga Balkanova

arxiv:1803.04206 v2 · 2018-03-12 · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GY7N4ECACMBVBBCBVXNEVZYZYQ}

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	2026-05-18T00:04:02.699269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363ede10401303508441adda4ae719c4027272b5759ff0cfb6daad432aa917f3

Aliases

arxiv: 1803.04206 · arxiv_version: 1803.04206v2 · doi: 10.48550/arxiv.1803.04206 · pith_short_12: GY7N4ECACMBV · pith_short_16: GY7N4ECACMBVBBCB · pith_short_8: GY7N4ECA

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/GY7N4ECACMBVBBCBVXNEVZYZYQ \
  | 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: 363ede10401303508441adda4ae719c4027272b5759ff0cfb6daad432aa917f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a17558dffa099645d06dfe9310b5cb02c6aa249ee7fee0b9bd07f2f3b8e705",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-12T11:41:47Z",
    "title_canon_sha256": "2626e9eb5d1dea372bb7a178334cf0daa10c7442a11cae7984c58cb7547631b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04206",
    "kind": "arxiv",
    "version": 2
  }
}