Pith Number

pith:DQA3BF2T

pith:2017:DQA3BF2THVD5LT5HS6AOOEEG4W

not attested not anchored not stored refs pending

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

Attila B\'erczes, Gamze Sava\c{S}, G\"okhan Soydan, Istv\'an Pink

arxiv:1709.00400 v1 · 2017-09-01 · 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{DQA3BF2THVD5LT5HS6AOOEEG4W}

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	2026-05-18T00:36:10.452582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c01b097533d47d5cfa79780e71086e59ef0a4b0c37a02d1a4fb09d40b7fc033

Aliases

arxiv: 1709.00400 · arxiv_version: 1709.00400v1 · doi: 10.48550/arxiv.1709.00400 · pith_short_12: DQA3BF2THVD5 · pith_short_16: DQA3BF2THVD5LT5H · pith_short_8: DQA3BF2T

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/DQA3BF2THVD5LT5HS6AOOEEG4W \
  | 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: 1c01b097533d47d5cfa79780e71086e59ef0a4b0c37a02d1a4fb09d40b7fc033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d726b72c1c5c87cea6abb9bb07ee19ca7bdfc98762233392e2fb85a58ca552d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-01T17:40:50Z",
    "title_canon_sha256": "056ba1fcc35589ccba99801c68702e6788cf483e435f22b7cf19a23a4086cf81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00400",
    "kind": "arxiv",
    "version": 1
  }
}