Pith Number

pith:5LBUOHHF

pith:2018:5LBUOHHFHCCVTUXGDIIFGWXUCA

not attested not anchored not stored refs pending

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Alain Togbe, Bernadette Faye, Florian Luca, Salah E. Rihane

arxiv:1811.03015 v1 · 2018-11-02 · 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{5LBUOHHFHCCVTUXGDIIFGWXUCA}

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	2026-05-18T00:01:20.149394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac3471ce5388559d2e61a10535af4100addb2915a89095d500e99202643c234

Aliases

arxiv: 1811.03015 · arxiv_version: 1811.03015v1 · doi: 10.48550/arxiv.1811.03015 · pith_short_12: 5LBUOHHFHCCV · pith_short_16: 5LBUOHHFHCCVTUXG · pith_short_8: 5LBUOHHF

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/5LBUOHHFHCCVTUXGDIIFGWXUCA \
  | 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: eac3471ce5388559d2e61a10535af4100addb2915a89095d500e99202643c234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41154f9da51684455ff1631c6d9b2fdfe68306da85ba24e2e5f8f3832dda902a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-02T19:29:20Z",
    "title_canon_sha256": "01eb580fd77ac5075791363cae35eca6020fe85932dd9e43f8b5ea6c34e91940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03015",
    "kind": "arxiv",
    "version": 1
  }
}