Pith Number

pith:XMWE4W4R

pith:2016:XMWE4W4R6OWYOUFP2B2RCFZ3YB

not attested not anchored not stored refs pending

On $X$-coordinates of Pell equations which are repdigits

Bernadette Faye, Florian Luca

arxiv:1605.03756 v2 · 2016-05-12 · 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{XMWE4W4R6OWYOUFP2B2RCFZ3YB}

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	2026-05-18T00:31:52.107948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2c4e5b91f3ad8750afd07511173bc073058070a6a96337601b27c4b65128b9

Aliases

arxiv: 1605.03756 · arxiv_version: 1605.03756v2 · doi: 10.48550/arxiv.1605.03756 · pith_short_12: XMWE4W4R6OWY · pith_short_16: XMWE4W4R6OWYOUFP · pith_short_8: XMWE4W4R

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/XMWE4W4R6OWYOUFP2B2RCFZ3YB \
  | 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: bb2c4e5b91f3ad8750afd07511173bc073058070a6a96337601b27c4b65128b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9fc22820bbd7f6327345c4a82c235a58efef87b3b0d63a47320d9be518124c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-12T10:53:58Z",
    "title_canon_sha256": "48d29f2c1aff9a958af79f2437811e5d24a2c6def635b03c54b936a501b37f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03756",
    "kind": "arxiv",
    "version": 2
  }
}