Pith Number

pith:LWBGQM2J

pith:2016:LWBGQM2JQTZPPPH7ZLSMJU6LIU

not attested not anchored not stored refs pending

On Kloosterman sums over finite fields of characteristic 3

Leonid Bassalygo, Victor Zinoviev

arxiv:1601.07039 v1 · 2016-01-23 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWBGQM2JQTZPPPH7ZLSMJU6LIU}

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	2026-05-18T01:21:59.234152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8268334984f2f7bcffcae4c4d3cb450fc60326eaec8254cddd7483f1b3fc8a

Aliases

arxiv: 1601.07039 · arxiv_version: 1601.07039v1 · doi: 10.48550/arxiv.1601.07039 · pith_short_12: LWBGQM2JQTZP · pith_short_16: LWBGQM2JQTZPPPH7 · pith_short_8: LWBGQM2J

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/LWBGQM2JQTZPPPH7ZLSMJU6LIU \
  | 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: 5d8268334984f2f7bcffcae4c4d3cb450fc60326eaec8254cddd7483f1b3fc8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf905eb5476d821f4ed332191af9ceebf78035f8ce97e982942b602dafaa5af",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-23T17:09:26Z",
    "title_canon_sha256": "f2ae797b02e5f88cc593fcc8e844f17c8f8efba5d87a5c3bb44d05d676f60202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07039",
    "kind": "arxiv",
    "version": 1
  }
}