Pith Number

pith:QD6MOKBP

pith:2017:QD6MOKBPFET3Q7DLYQPVW6I2AV

not attested not anchored not stored refs pending

A note on the Diophantine equation $2^{n-1}(2^{n}-1)=x^3+y^3+z^3$

Maciej Ulas

arxiv:1705.01074 v1 · 2017-05-02 · 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{QD6MOKBPFET3Q7DLYQPVW6I2AV}

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	2026-05-18T00:45:08.999176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fcc7282f2927b87c6bc41f5b791a054fdff3463efd478c220d6e357145e564

Aliases

arxiv: 1705.01074 · arxiv_version: 1705.01074v1 · doi: 10.48550/arxiv.1705.01074 · pith_short_12: QD6MOKBPFET3 · pith_short_16: QD6MOKBPFET3Q7DL · pith_short_8: QD6MOKBP

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/QD6MOKBPFET3Q7DLYQPVW6I2AV \
  | 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: 80fcc7282f2927b87c6bc41f5b791a054fdff3463efd478c220d6e357145e564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aca61eecc06094fd2ef887c9cb65b42894f4fa72717bbfd15b9117b44e4a3e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-02T17:02:10Z",
    "title_canon_sha256": "2b1c46676ccf9c2e46b2847cecd3e1e3cb55adbda0346705b7d5ccb7d66346fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01074",
    "kind": "arxiv",
    "version": 1
  }
}