Pith Number

pith:XSLFYKUK

pith:2017:XSLFYKUKANWB34CKW4ZGX3LFF7

not attested not anchored not stored refs pending

On the Diophantine equation $(x+1)^{k}+(x+2)^{k}+...+(lx)^{k}=y^{n}$

G\"okhan Soydan

arxiv:1701.02466 v1 · 2017-01-10 · 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{XSLFYKUKANWB34CKW4ZGX3LFF7}

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	2026-05-18T00:53:04.191741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc965c2a8a036c1df04ab7326bed652fc000a88fc39f434e0d06088513808930

Aliases

arxiv: 1701.02466 · arxiv_version: 1701.02466v1 · doi: 10.48550/arxiv.1701.02466 · pith_short_12: XSLFYKUKANWB · pith_short_16: XSLFYKUKANWB34CK · pith_short_8: XSLFYKUK

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/XSLFYKUKANWB34CKW4ZGX3LFF7 \
  | 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: bc965c2a8a036c1df04ab7326bed652fc000a88fc39f434e0d06088513808930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf6d30753fdfec69cf747e0c9069a8dc3627c97578e9f23a179403400836d95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-10T08:12:56Z",
    "title_canon_sha256": "2df8f52da631f6cd8a99a6a0386d4846a3e04af77412ef29315ed43774a49a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02466",
    "kind": "arxiv",
    "version": 1
  }
}