Pith Number

pith:KWNHKAOZ

pith:2018:KWNHKAOZYFX2COIYI5AZUOR7PH

not attested not anchored not stored refs pending

A Ces\`aro average for an additive problem with prime powers

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1806.04930 v2 · 2018-06-13 · 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{KWNHKAOZYFX2COIYI5AZUOR7PH}

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	2026-05-17T23:40:08.983879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559a7501d9c16fa1391847419a3a3f79d58b5796d98bb8e0a25186b81d1606f3

Aliases

arxiv: 1806.04930 · arxiv_version: 1806.04930v2 · doi: 10.48550/arxiv.1806.04930 · pith_short_12: KWNHKAOZYFX2 · pith_short_16: KWNHKAOZYFX2COIY · pith_short_8: KWNHKAOZ

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/KWNHKAOZYFX2COIYI5AZUOR7PH \
  | 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: 559a7501d9c16fa1391847419a3a3f79d58b5796d98bb8e0a25186b81d1606f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ad264e6d99b1ac8d1fe5325825f583a2b939112c1da41c0f6d240c710f0ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-13T10:27:27Z",
    "title_canon_sha256": "8eaca79cb5fe3e20b309f3ce25251d44cef68b6f2d271c5e745265b0b6db082a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04930",
    "kind": "arxiv",
    "version": 2
  }
}