Pith Number

pith:GTXBASHG

pith:2016:GTXBASHGWZKOA3ZX3FTGVOUDBP

not attested not anchored not stored refs pending

Perfect powers that are sums of consecutive cubes

Michael Bennett, Samir Siksek, Vandita Patel

arxiv:1603.08901 v2 · 2016-03-29 · 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{GTXBASHGWZKOA3ZX3FTGVOUDBP}

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	2026-05-17T23:53:13.256811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ee1048e6b654e06f37d9666aba830bda28297fa5513733fcaf211f10d50754

Aliases

arxiv: 1603.08901 · arxiv_version: 1603.08901v2 · doi: 10.48550/arxiv.1603.08901 · pith_short_12: GTXBASHGWZKO · pith_short_16: GTXBASHGWZKOA3ZX · pith_short_8: GTXBASHG

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/GTXBASHGWZKOA3ZX3FTGVOUDBP \
  | 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: 34ee1048e6b654e06f37d9666aba830bda28297fa5513733fcaf211f10d50754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d32f7d1768b3a51d8da92888691c71d0880bc1cbd5506e1e687fbcb828737a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-29T19:40:11Z",
    "title_canon_sha256": "6383ea83be5e49abfcc6e6a30dc98c0b93bb23a96503756c3a07213241550d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08901",
    "kind": "arxiv",
    "version": 2
  }
}