Pith Number

pith:TDWJBJPH

pith:2012:TDWJBJPH3W7SSCYLBWZ3EQSAWG

not attested not anchored not stored refs pending

On the Diophantine equation cy^l=(x^p-1)/(x-1)

Mohammad Sadek

arxiv:1206.0424 v1 · 2012-06-03 · 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{TDWJBJPH3W7SSCYLBWZ3EQSAWG}

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	2026-05-18T03:32:45.218717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ec90a5e7ddbf290b0b0db3b24240b183a80c00ba440e7286e2c37081ac7610

Aliases

arxiv: 1206.0424 · arxiv_version: 1206.0424v1 · doi: 10.48550/arxiv.1206.0424 · pith_short_12: TDWJBJPH3W7S · pith_short_16: TDWJBJPH3W7SSCYL · pith_short_8: TDWJBJPH

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/TDWJBJPH3W7SSCYLBWZ3EQSAWG \
  | 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: 98ec90a5e7ddbf290b0b0db3b24240b183a80c00ba440e7286e2c37081ac7610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8dd82dc7c122c2aec7c5a0c2627c7f462820eb65ba472f6a572d5f4ca22b2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-03T07:38:44Z",
    "title_canon_sha256": "0d40f8abf17bd905cd68f6016b0d83cc22db52c8ad2a372d31b5203051f77973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0424",
    "kind": "arxiv",
    "version": 1
  }
}