Pith Number

pith:5PSTFDKJ

pith:2019:5PSTFDKJMYWQ2BTKXY52W7VDOY

not attested not anchored not stored refs pending

Kloosterman sums over finite Frobenius rings

Bogdan Nica

arxiv:1910.00165 v1 · 2019-10-01 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PSTFDKJMYWQ2BTKXY52W7VDOY}

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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.

Cited by

1 paper in Pith

A characterization of Jacobi sums

Receipt and verification

First computed	2026-07-05T07:13:17.892985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe5328d49662d0d066abe3bab7ea3760179ffd760275d99df90fbf904bdb34e

Aliases

arxiv: 1910.00165 · arxiv_version: 1910.00165v1 · doi: 10.48550/arxiv.1910.00165 · pith_short_12: 5PSTFDKJMYWQ · pith_short_16: 5PSTFDKJMYWQ2BTK · pith_short_8: 5PSTFDKJ

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/5PSTFDKJMYWQ2BTKXY52W7VDOY \
  | 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: ebe5328d49662d0d066abe3bab7ea3760179ffd760275d99df90fbf904bdb34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98741261304dc9b4330aaa4753b19da868e8680c35cd21fff0e7e16f447aace8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-01T00:54:34Z",
    "title_canon_sha256": "6aa62e58cae7707d1357cfa41042da01a7599585786b7dd7c3a523049905812a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00165",
    "kind": "arxiv",
    "version": 1
  }
}