Pith Number

pith:BJM3E5HP

pith:2019:BJM3E5HPJBMZ4EEYL7IL5OLWPL

not attested not anchored not stored refs pending

On the $x-$coordinates of Pell equations which are sums of two Padovan numbers

Mahadi Ddamulira

arxiv:1905.11322 v1 · 2019-05-27 · 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{BJM3E5HPJBMZ4EEYL7IL5OLWPL}

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	2026-05-17T23:45:00.705751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a59b274ef48599e10985fd0beb9767ada4046e0c9a8c0bc2f6a7509a6ba9c94

Aliases

arxiv: 1905.11322 · arxiv_version: 1905.11322v1 · doi: 10.48550/arxiv.1905.11322 · pith_short_12: BJM3E5HPJBMZ · pith_short_16: BJM3E5HPJBMZ4EEY · pith_short_8: BJM3E5HP

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/BJM3E5HPJBMZ4EEYL7IL5OLWPL \
  | 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: 0a59b274ef48599e10985fd0beb9767ada4046e0c9a8c0bc2f6a7509a6ba9c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b62caa6351aebf03cc99e02e591f61a279d448e765d6cafbd29431a3eb5d929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-27T16:15:42Z",
    "title_canon_sha256": "15c872b66e4c0034cd3e071ea5eebf4898dcd1fb3012e5badd51a14836f0f69d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11322",
    "kind": "arxiv",
    "version": 1
  }
}