Pith Number

pith:5NHSGGMZ

pith:2015:5NHSGGMZX3SPWJ6SKN6ZXWNMOH

not attested not anchored not stored refs pending

Visual properties of generalized Kloosterman sums

Alice Zhuo-Yu Chan, Florian Luca, Gabriel Currier, Hong Suh, Paula Burkhardt, Stephan Ramon Garcia

arxiv:1505.00018 v1 · 2015-04-30 · 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{5NHSGGMZX3SPWJ6SKN6ZXWNMOH}

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	2026-07-05T02:12:37.907381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4f231999bee4fb27d2537d9bd9ac71c0ca014c8224f50cfa587f7f332b1a09

Aliases

arxiv: 1505.00018 · arxiv_version: 1505.00018v1 · doi: 10.48550/arxiv.1505.00018 · pith_short_12: 5NHSGGMZX3SP · pith_short_16: 5NHSGGMZX3SPWJ6S · pith_short_8: 5NHSGGMZ

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/5NHSGGMZX3SPWJ6SKN6ZXWNMOH \
  | 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: eb4f231999bee4fb27d2537d9bd9ac71c0ca014c8224f50cfa587f7f332b1a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b43237986eab6dd6bd3995bd4307d08662d46e0213118ac895051d0f288536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-30T20:17:25Z",
    "title_canon_sha256": "5dcab4726a1e29881211aa52aa616d3b082f13f70b5d7f7c41f82734ec5c2f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00018",
    "kind": "arxiv",
    "version": 1
  }
}