Pith Number

pith:CDKPMEYS

pith:2016:CDKPMEYSIPCQGPMXSCG36ABGED

not attested not anchored not stored refs pending

Short Kloosterman sums to powerful modulus

Maxim A. Korolev

arxiv:1604.02300 v1 · 2016-04-08 · 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{CDKPMEYSIPCQGPMXSCG36ABGED}

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	2026-05-18T01:01:00.211837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d4f6131243c5033d97908dbf002620df74e6603415e7f1ff0208421ea8efaf

Aliases

arxiv: 1604.02300 · arxiv_version: 1604.02300v1 · doi: 10.48550/arxiv.1604.02300 · pith_short_12: CDKPMEYSIPCQ · pith_short_16: CDKPMEYSIPCQGPMX · pith_short_8: CDKPMEYS

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/CDKPMEYSIPCQGPMXSCG36ABGED \
  | 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: 10d4f6131243c5033d97908dbf002620df74e6603415e7f1ff0208421ea8efaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd648b3ee774364fc44a803b575675f817266df8dadfe9a98a2b6ef7f2ecc605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-08T10:47:46Z",
    "title_canon_sha256": "e39001de3d933c5cdf53077989d77fc3c915ac1d1efe7e9c5cb9c51579625e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02300",
    "kind": "arxiv",
    "version": 1
  }
}