Pith Number

pith:3SF5Y4WH

pith:2018:3SF5Y4WHQ2U2HQFZR2OEC5XYEI

not attested not anchored not stored refs pending

There are no Cube-free Descartes Numbers with Exactly Seven Distinct Prime Factors

Pratik Rathore

arxiv:1808.10027 v1 · 2018-08-29 · 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{3SF5Y4WHQ2U2HQFZR2OEC5XYEI}

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	2026-05-18T00:06:50.066946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8bdc72c786a9a3c0b98e9c4176f822220a855409bceb0cceeed7da191ff86b

Aliases

arxiv: 1808.10027 · arxiv_version: 1808.10027v1 · doi: 10.48550/arxiv.1808.10027 · pith_short_12: 3SF5Y4WHQ2U2 · pith_short_16: 3SF5Y4WHQ2U2HQFZ · pith_short_8: 3SF5Y4WH

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/3SF5Y4WHQ2U2HQFZR2OEC5XYEI \
  | 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: dc8bdc72c786a9a3c0b98e9c4176f822220a855409bceb0cceeed7da191ff86b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5181ad50f4f35eacc7fca791859c9a8fa5730a0372e49991b8ede77d68f0301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-29T20:07:13Z",
    "title_canon_sha256": "581d295c95254cb10432bdf6a975fafaf8ce9b485f97f91d1cb12c661eb73c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10027",
    "kind": "arxiv",
    "version": 1
  }
}